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ОС","\u002Fcsharp\u002Fsystem-programming-windows\u002Fwindows-hooks-services","01.csharp\u002F07.system-programming-windows\u002F20.windows-hooks-services",{"title":376,"path":377,"stem":378},"Системне Програмування C# (Windows) — 07.system-programming-windows","\u002Fcsharp\u002Fsystem-programming-windows\u002Fimplementation_plan","01.csharp\u002F07.system-programming-windows\u002Fimplementation_plan",{"title":380,"icon":132,"path":381,"stem":382,"children":383,"page":59},"Io","\u002Fcsharp\u002Fio","01.csharp\u002F08.io",[384,388,392,396,400],{"title":385,"path":386,"stem":387},"8.1.1. Основи роботи з файловою системою","\u002Fcsharp\u002Fio\u002Ffile-system-basics","01.csharp\u002F08.io\u002F01.file-system-basics",{"title":389,"path":390,"stem":391},"8.1.2. Потоки (Streams) та Серіалізація Даних","\u002Fcsharp\u002Fio\u002Fstreams-serialization","01.csharp\u002F08.io\u002F02.streams-serialization",{"title":393,"path":394,"stem":395},"8.2.1. JSON Serialization з System.Text.Json","\u002Fcsharp\u002Fio\u002Fjson-serialization","01.csharp\u002F08.io\u002F03.json-serialization",{"title":397,"path":398,"stem":399},"8.2.2. XML Serialization та LINQ to XML","\u002Fcsharp\u002Fio\u002Fxml-serialization","01.csharp\u002F08.io\u002F04.xml-serialization",{"title":401,"path":402,"stem":403},"8.2.3. Binary Serialization: MessagePack та Protocol Buffers","\u002Fcsharp\u002Fio\u002Fbinary-serialization","01.csharp\u002F08.io\u002F05.binary-serialization",{"title":405,"icon":132,"path":406,"stem":407,"children":408,"page":59},"Ado Net","\u002Fcsharp\u002Fado-net","01.csharp\u002F09.ado-net",[409,413,417,421,425,429,433,437,441,445,449,453],{"title":410,"path":411,"stem":412},"9.1. Введення в ADO.NET","\u002Fcsharp\u002Fado-net\u002Fintroduction-to-adonet","01.csharp\u002F09.ado-net\u002F01.introduction-to-adonet",{"title":414,"path":415,"stem":416},"9.2. Клас DbConnection — з'єднання з базою даних","\u002Fcsharp\u002Fado-net\u002Fconnection","01.csharp\u002F09.ado-net\u002F02.connection",{"title":418,"path":419,"stem":420},"9.3. Клас DbCommand — виконання SQL-запитів","\u002Fcsharp\u002Fado-net\u002Fcommand-and-queries","01.csharp\u002F09.ado-net\u002F03.command-and-queries",{"title":422,"path":423,"stem":424},"9.4. Клас DbDataReader — ефективне читання даних","\u002Fcsharp\u002Fado-net\u002Fdatareader","01.csharp\u002F09.ado-net\u002F04.datareader",{"title":426,"path":427,"stem":428},"9.5. Параметризовані запити та захист від SQL Injection","\u002Fcsharp\u002Fado-net\u002Fparameters-and-sql-injection","01.csharp\u002F09.ado-net\u002F05.parameters-and-sql-injection",{"title":430,"path":431,"stem":432},"9.6. Транзакції в ADO.NET","\u002Fcsharp\u002Fado-net\u002Ftransactions","01.csharp\u002F09.ado-net\u002F06.transactions",{"title":434,"path":435,"stem":436},"9.7. DbProviderFactory — провайдер-незалежний код","\u002Fcsharp\u002Fado-net\u002Fprovider-factory","01.csharp\u002F09.ado-net\u002F07.provider-factory",{"title":438,"path":439,"stem":440},"9.8. Асинхронний доступ до даних","\u002Fcsharp\u002Fado-net\u002Fasync-data-access","01.csharp\u002F09.ado-net\u002F08.async-data-access",{"title":442,"path":443,"stem":444},"9.9. Від'єднаний режим: DataSet, DataTable, DataRow","\u002Fcsharp\u002Fado-net\u002Fdisconnected-mode-dataset","01.csharp\u002F09.ado-net\u002F09.disconnected-mode-dataset",{"title":446,"path":447,"stem":448},"9.10. DataAdapter — міст між DataSet та базою даних","\u002Fcsharp\u002Fado-net\u002Fdata-adapter","01.csharp\u002F09.ado-net\u002F10.data-adapter",{"title":450,"path":451,"stem":452},"9.11. Data Mapper та Repository: Архітектура доступу до даних","\u002Fcsharp\u002Fado-net\u002Fdata-mapper-repository","01.csharp\u002F09.ado-net\u002F11.data-mapper-repository",{"title":454,"path":455,"stem":456},"9.12. Identity Map, Unit of Work та Specification Pattern","\u002Fcsharp\u002Fado-net\u002Fadvanced-patterns","01.csharp\u002F09.ado-net\u002F12.advanced-patterns",{"title":458,"icon":255,"path":459,"stem":460,"children":461,"page":59},"Ef Core","\u002Fcsharp\u002Fef-core","01.csharp\u002F10.ef-core",[462,466,470,474,478,482,486,490,494,498,502,506,510,514,518,522,526,532,538,542,546,550,554,558,562,566,570,574,578,582,586,590,594,598,602,606,610,614,618,622,626,630,634,638,642,646],{"title":463,"path":464,"stem":465},"Що таке ORM? Від SQL до об'єктів","\u002Fcsharp\u002Fef-core\u002Fwhat-is-orm","01.csharp\u002F10.ef-core\u002F01.what-is-orm",{"title":467,"path":468,"stem":469},"Перший проєкт — від нуля до CRUD","\u002Fcsharp\u002Fef-core\u002Ffirst-project","01.csharp\u002F10.ef-core\u002F02.first-project",{"title":471,"path":472,"stem":473},"DbContext — Серце EF Core","\u002Fcsharp\u002Fef-core\u002Fdbcontext-deep-dive","01.csharp\u002F10.ef-core\u002F03.dbcontext-deep-dive",{"title":475,"path":476,"stem":477},"Провайдери баз даних — Архітектура та Вибір СУБД","\u002Fcsharp\u002Fef-core\u002Fdatabase-providers","01.csharp\u002F10.ef-core\u002F04.database-providers",{"title":479,"path":480,"stem":481},"Конвенції EF Core — Магія без конфігурації","\u002Fcsharp\u002Fef-core\u002Fconventions","01.csharp\u002F10.ef-core\u002F05.conventions",{"title":483,"path":484,"stem":485},"Fluent API та Data Annotations — Явна конфігурація моделі","\u002Fcsharp\u002Fef-core\u002Ffluent-api-vs-annotations","01.csharp\u002F10.ef-core\u002F06.fluent-api-vs-annotations",{"title":487,"path":488,"stem":489},"Зв'язки — One-to-One та One-to-Many","\u002Fcsharp\u002Fef-core\u002Frelationships-basics","01.csharp\u002F10.ef-core\u002F07.relationships-basics",{"title":491,"path":492,"stem":493},"Зв'язки Advanced — Many-to-Many та Складні Сценарії","\u002Fcsharp\u002Fef-core\u002Frelationships-advanced","01.csharp\u002F10.ef-core\u002F08.relationships-advanced",{"title":495,"path":496,"stem":497},"Властивості — Типи, Конвертери, Компаратори (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part1","01.csharp\u002F10.ef-core\u002F09.property-configuration-part1",{"title":499,"path":500,"stem":501},"Властивості — Value Comparers, Generators, Shadow Properties (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fproperty-configuration-part2","01.csharp\u002F10.ef-core\u002F09.property-configuration-part2",{"title":503,"path":504,"stem":505},"Складні типи — Owned Types та Complex Types (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part1","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part1",{"title":507,"path":508,"stem":509},"Складні типи — Complex Types, Keyless Entities, Порівняння (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fcomplex-types-owned-part2","01.csharp\u002F10.ef-core\u002F10.complex-types-owned-part2",{"title":511,"path":512,"stem":513},"JSON Columns — Складні дані у JSON (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part1","01.csharp\u002F10.ef-core\u002F11.json-columns-part1",{"title":515,"path":516,"stem":517},"JSON Columns — Value Comparers, Індекси, Провайдери (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fjson-columns-part2","01.csharp\u002F10.ef-core\u002F11.json-columns-part2",{"title":519,"path":520,"stem":521},"Успадкування — Абстрактні класи та TPH (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finheritance-part1","01.csharp\u002F10.ef-core\u002F12.inheritance-part1",{"title":523,"path":524,"stem":525},"Успадкування — TPT, TPC та Порівняння Стратегій (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finheritance-part2","01.csharp\u002F10.ef-core\u002F12.inheritance-part2",{"title":527,"path":528,"stem":529,"children":530},"Індекси, Обмеження та Схема (Частина 1)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part1","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part1",[531],{"title":527,"path":528,"stem":529},{"title":533,"path":534,"stem":535,"children":536},"Індекси, Обмеження та Схема (Частина 2)","\u002Fcsharp\u002Fef-core\u002Findexes-constraints-part2","01.csharp\u002F10.ef-core\u002F13.indexes-constraints-part2",[537],{"title":533,"path":534,"stem":535},{"title":539,"path":540,"stem":541},"Seed Data — Початкові Дані (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fseeding-part1","01.csharp\u002F10.ef-core\u002F14.seeding-part1",{"title":543,"path":544,"stem":545},"Seed Data — SQL-скрипти, Bogus та Стратегії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fseeding-part2","01.csharp\u002F10.ef-core\u002F14.seeding-part2",{"title":547,"path":548,"stem":549},"Global Query Filters — Глобальні Фільтри (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part1","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part1",{"title":551,"path":552,"stem":553},"Global Query Filters — Підводні камені та Інтеграція (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fglobal-query-filters-part2","01.csharp\u002F10.ef-core\u002F15.global-query-filters-part2",{"title":555,"path":556,"stem":557},"LINQ-запити в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part1","01.csharp\u002F10.ef-core\u002F16.linq-queries-part1",{"title":559,"path":560,"stem":561},"LINQ-запити в EF Core (Частина 2)","\u002Fcsharp\u002Fef-core\u002Flinq-queries-part2","01.csharp\u002F10.ef-core\u002F16.linq-queries-part2",{"title":563,"path":564,"stem":565},"Завантаження Пов'язаних Даних (Частина 1)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part1","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part1",{"title":567,"path":568,"stem":569},"Завантаження Пов'язаних Даних (Частина 2)","\u002Fcsharp\u002Fef-core\u002Floading-related-data-part2","01.csharp\u002F10.ef-core\u002F17.loading-related-data-part2",{"title":571,"path":572,"stem":573},"Raw SQL, Views та Stored Procedures (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part1","01.csharp\u002F10.ef-core\u002F18.raw-sql-part1",{"title":575,"path":576,"stem":577},"Raw SQL — Stored Procedures, DbFunction та Bulk Operations (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fraw-sql-part2","01.csharp\u002F10.ef-core\u002F18.raw-sql-part2",{"title":579,"path":580,"stem":581},"Продвинуті Запити — Compiled Queries, Bulk та Оптимізація (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part1","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part1",{"title":583,"path":584,"stem":585},"Продвинуті Запити — Query Tags, Bulk та Interceptors (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fadvanced-queries-part2","01.csharp\u002F10.ef-core\u002F19.advanced-queries-part2",{"title":587,"path":588,"stem":589},"Change Tracker — Відстеження Змін (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part1","01.csharp\u002F10.ef-core\u002F20.change-tracking-part1",{"title":591,"path":592,"stem":593},"Change Tracker — Графи Об'єктів та Disconnected (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fchange-tracking-part2","01.csharp\u002F10.ef-core\u002F20.change-tracking-part2",{"title":595,"path":596,"stem":597},"Збереження Даних та Транзакції (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part1","01.csharp\u002F10.ef-core\u002F21.saving-data-part1",{"title":599,"path":600,"stem":601},"Збереження Даних — Concurrency та Outbox (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fsaving-data-part2","01.csharp\u002F10.ef-core\u002F21.saving-data-part2",{"title":603,"path":604,"stem":605},"Конкурентність та Блокування (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part1","01.csharp\u002F10.ef-core\u002F22.concurrency-part1",{"title":607,"path":608,"stem":609},"Конкурентність — Дедлоки та Queue Processing (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fconcurrency-part2","01.csharp\u002F10.ef-core\u002F22.concurrency-part2",{"title":611,"path":612,"stem":613},"Міграції в EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part1","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part1",{"title":615,"path":616,"stem":617},"Міграції в EF Core — Основи (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-basics-part2","01.csharp\u002F10.ef-core\u002F23.migrations-basics-part2",{"title":619,"path":620,"stem":621},"Міграції — Просунуті Сценарії (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part1","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part1",{"title":623,"path":624,"stem":625},"Міграції — Просунуті Сценарії (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fmigrations-advanced-part2","01.csharp\u002F10.ef-core\u002F24.migrations-advanced-part2",{"title":627,"path":628,"stem":629},"Управління Схемою та Database-First (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part1","01.csharp\u002F10.ef-core\u002F25.schema-management-part1",{"title":631,"path":632,"stem":633},"Управління Схемою та Database-First (Частина 2)","\u002Fcsharp\u002Fef-core\u002Fschema-management-part2","01.csharp\u002F10.ef-core\u002F25.schema-management-part2",{"title":635,"path":636,"stem":637},"Продуктивність EF Core — Основи (Частина 1)","\u002Fcsharp\u002Fef-core\u002Fperformance-fundamentals-part1","01.csharp\u002F10.ef-core\u002F26.performance-fundamentals-part1",{"title":639,"path":640,"stem":641},"Interceptors в EF Core (Частина 1)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part1","01.csharp\u002F10.ef-core\u002F29.interceptors-part1",{"title":643,"path":644,"stem":645},"Interceptors в EF Core — Connection, Transaction та Materialization (Частина 2)","\u002Fcsharp\u002Fef-core\u002Finterceptors-part2","01.csharp\u002F10.ef-core\u002F29.interceptors-part2",{"title":647,"path":648,"stem":649},"План вивчення Entity Framework Core — Повний курс","\u002Fcsharp\u002Fef-core\u002Fimplementation_plan","01.csharp\u002F10.ef-core\u002Fimplementation_plan",{"title":651,"icon":652,"path":653,"stem":654,"children":655,"page":59},"ASP.NET","i-devicon-dotnetcore","\u002Fcsharp\u002Faspnet","01.csharp\u002F11.aspnet",[656,730,791,869,927,941,967,1057,1111,1182,1212,1289,1346],{"title":657,"icon":658,"path":659,"stem":660,"children":661,"page":59},"Minimal API","i-lucide-network","\u002Fcsharp\u002Faspnet\u002Fminimal-api","01.csharp\u002F11.aspnet\u002F01.minimal-api",[662,666,670,674,678,682,686,690,694,698,702,706,710,714,718,722,726],{"title":663,"path":664,"stem":665},"Вступ до ASP.NET та еволюція фреймворку","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fintroduction","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F01.introduction",{"title":667,"path":668,"stem":669},"Перший додаток на ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Ffirst-application","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F02.first-application",{"title":671,"path":672,"stem":673},"WebApplication, Builder та Dependency Injection","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fwebapplication-builder","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F03.webapplication-builder",{"title":675,"path":676,"stem":677},"Конвеєр запитів та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frequest-pipeline-middleware","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F04.request-pipeline-middleware",{"title":679,"path":680,"stem":681},"Маршрутизація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F05.routing-basics",{"title":683,"path":684,"stem":685},"Маршрутизація в ASP.NET Core: Розширені можливості","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Frouting-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F06.routing-advanced",{"title":687,"path":688,"stem":689},"Статичні файли в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-files","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F07.static-files",{"title":691,"path":692,"stem":693},"Статичні Активи: MapStaticAssets (ASP.NET Core 9.0)","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstatic-assets","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F08.static-assets",{"title":695,"path":696,"stem":697},"Конфігурація в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-fundamentals","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F09.configuration-fundamentals",{"title":699,"path":700,"stem":701},"Конфігурація: Паттерн Options","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fconfiguration-options","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F10.configuration-options",{"title":703,"path":704,"stem":705},"Логування в ASP.NET Core: Основи","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-basics","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F11.logging-basics",{"title":707,"path":708,"stem":709},"Логування: Serilog та Middleware","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Flogging-advanced","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F12.logging-advanced",{"title":711,"path":712,"stem":713},"Управління станом: HttpContext.Items та Cookies","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fstate-management","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F13.state-management",{"title":715,"path":716,"stem":717},"Стан сесії: Sessions","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fsession-state","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F14.session-state",{"title":719,"path":720,"stem":721},"Структура проєкту: від хаосу до архітектури","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fproject-structure","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F15.project-structure",{"title":723,"path":724,"stem":725},"Scalar у Minimal API: повний проєкт і Fluent OpenAPI","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fscalar-openapi-fluent","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F16.scalar-openapi-fluent",{"title":727,"path":728,"stem":729},"Swagger \u002F Swashbuckle у Minimal API: окремий класичний шлях","\u002Fcsharp\u002Faspnet\u002Fminimal-api\u002Fswagger-swashbuckle","01.csharp\u002F11.aspnet\u002F01.minimal-api\u002F17.swagger-swashbuckle",{"title":731,"icon":658,"path":732,"stem":733,"children":734,"page":59},"API","\u002Fcsharp\u002Faspnet\u002Fapi","01.csharp\u002F11.aspnet\u002F02.api",[735,739,743,747,751,755,759,763,767,771,775,779,783,787],{"title":736,"path":737,"stem":738},"Що таке API. Клієнт-серверна архітектура","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fwhat-is-api","01.csharp\u002F11.aspnet\u002F02.api\u002F01.what-is-api",{"title":740,"path":741,"stem":742},"Формати даних: JSON, XML, TOML та бінарні формати","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fdata-formats","01.csharp\u002F11.aspnet\u002F02.api\u002F02.data-formats",{"title":744,"path":745,"stem":746},"Парадигми API та концепція REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-paradigms-rest","01.csharp\u002F11.aspnet\u002F02.api\u002F03.api-paradigms-rest",{"title":748,"path":749,"stem":750},"HTTP-методи, статус-коди та заголовки","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fhttp-methods-status-codes","01.csharp\u002F11.aspnet\u002F02.api\u002F04.http-methods-status-codes",{"title":752,"path":753,"stem":754},"Організація HTTP API за принципами REST","\u002Fcsharp\u002Faspnet\u002Fapi\u002Frest-organizing","01.csharp\u002F11.aspnet\u002F02.api\u002F05.rest-organizing",{"title":756,"path":757,"stem":758},"Номенклатура URL та CRUD-операції","\u002Fcsharp\u002Faspnet\u002Fapi\u002Furl-nomenclature-crud","01.csharp\u002F11.aspnet\u002F02.api\u002F06.url-nomenclature-crud",{"title":760,"path":761,"stem":762},"Правила дизайну: іменування та стандарти","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-naming","01.csharp\u002F11.aspnet\u002F02.api\u002F07.api-design-naming",{"title":764,"path":765,"stem":766},"Валідація, ліміти та обробка помилок","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-validation","01.csharp\u002F11.aspnet\u002F02.api\u002F08.api-design-validation",{"title":768,"path":769,"stem":770},"Обробка помилок у Minimal API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Ferror-handling-http","01.csharp\u002F11.aspnet\u002F02.api\u002F09.error-handling-http",{"title":772,"path":773,"stem":774},"Ідемпотентність та синхронізація стану","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fidempotency-sync","01.csharp\u002F11.aspnet\u002F02.api\u002F10.idempotency-sync",{"title":776,"path":777,"stem":778},"Пагінація та організація списків","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fpagination-lists","01.csharp\u002F11.aspnet\u002F02.api\u002F11.pagination-lists",{"title":780,"path":781,"stem":782},"Безпека API, кешування та інтернаціоналізація","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fsecurity-auth","01.csharp\u002F11.aspnet\u002F02.api\u002F12.security-auth",{"title":784,"path":785,"stem":786},"Процес проєктування API та документування","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fapi-design-process","01.csharp\u002F11.aspnet\u002F02.api\u002F13.api-design-process",{"title":788,"path":789,"stem":790},"OpenAPI: контракт, специфікація та документація API","\u002Fcsharp\u002Faspnet\u002Fapi\u002Fopenapi","01.csharp\u002F11.aspnet\u002F02.api\u002F14.openapi",{"title":792,"icon":793,"path":794,"stem":795,"children":796,"page":59},"Auth","i-lucide-shield-check","\u002Fcsharp\u002Faspnet\u002Fauth","01.csharp\u002F11.aspnet\u002F03.auth",[797,801,805,809,813,817,821,825,829,833,837,841,845,849,853,857,861,865],{"title":798,"path":799,"stem":800},"Основи аутентифікації та авторизації","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauth-fundamentals","01.csharp\u002F11.aspnet\u002F03.auth\u002F01.auth-fundamentals",{"title":802,"path":803,"stem":804},"JWT-аутентифікація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fjwt-authentication","01.csharp\u002F11.aspnet\u002F03.auth\u002F02.jwt-authentication",{"title":806,"path":807,"stem":808},"Авторизація: ролі, політики та resource-based доступ","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fauthorization-policies","01.csharp\u002F11.aspnet\u002F03.auth\u002F03.authorization-policies",{"title":810,"path":811,"stem":812},"Cookie-аутентифікація та ASP.NET Core Identity","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcookie-auth-identity","01.csharp\u002F11.aspnet\u002F03.auth\u002F04.cookie-auth-identity",{"title":814,"path":815,"stem":816},"JWT + Refresh Tokens (HttpOnly Cookie)","\u002Fcsharp\u002Faspnet\u002Fauth\u002F04b.identity-auth-jwt","01.csharp\u002F11.aspnet\u002F03.auth\u002F04b.identity-auth-jwt",{"title":818,"path":819,"stem":820},"Identity: Підтвердження Email та Скидання Пароля","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-email-confirmation","01.csharp\u002F11.aspnet\u002F03.auth\u002F05.identity-email-confirmation",{"title":822,"path":823,"stem":824},"Identity: Двофакторна Аутентифікація (2FA)","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-two-factor","01.csharp\u002F11.aspnet\u002F03.auth\u002F06.identity-two-factor",{"title":826,"path":827,"stem":828},"Identity: Внутрішня Архітектура та Кастомізація","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fidentity-internals","01.csharp\u002F11.aspnet\u002F03.auth\u002F07.identity-internals",{"title":830,"path":831,"stem":832},"OAuth 2.0 та зовнішні провайдери","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-external-providers","01.csharp\u002F11.aspnet\u002F03.auth\u002F08.oauth-external-providers",{"title":834,"path":835,"stem":836},"Безпека на практиці: CORS, HTTPS та захист від атак","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fsecurity-hardening","01.csharp\u002F11.aspnet\u002F03.auth\u002F09.security-hardening",{"title":838,"path":839,"stem":840},"Теорія OAuth 2.0: Поняття, Аналогії та Флоу","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foauth-theory","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oauth-theory",{"title":842,"path":843,"stem":844},"OIDC, OAuth 2.0 та Keycloak в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Foidc-keycloak","01.csharp\u002F11.aspnet\u002F03.auth\u002F10.oidc-keycloak",{"title":846,"path":847,"stem":848},"API Keys аутентифікація в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fapi-keys","01.csharp\u002F11.aspnet\u002F03.auth\u002F11.api-keys",{"title":850,"path":851,"stem":852},"Rate Limiting та Throttling в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frate-limiting","01.csharp\u002F11.aspnet\u002F03.auth\u002F12.rate-limiting",{"title":854,"path":855,"stem":856},"Refresh Token Rotation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frefresh-token-rotation","01.csharp\u002F11.aspnet\u002F03.auth\u002F13.refresh-token-rotation",{"title":858,"path":859,"stem":860},"Certificate Authentication та mTLS в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fcertificate-auth","01.csharp\u002F11.aspnet\u002F03.auth\u002F14.certificate-auth",{"title":862,"path":863,"stem":864},"RBAC, ABAC та ReBAC в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Frbac-abac-rebac","01.csharp\u002F11.aspnet\u002F03.auth\u002F15.rbac-abac-rebac",{"title":866,"path":867,"stem":868},"Multi-tenancy та ізоляція даних в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fauth\u002Fmulti-tenancy","01.csharp\u002F11.aspnet\u002F03.auth\u002F16.multi-tenancy",{"title":870,"icon":871,"path":872,"stem":873,"children":874,"page":59},"Нотифікації","i-lucide-bell","\u002Fcsharp\u002Faspnet\u002Fnotifications","01.csharp\u002F11.aspnet\u002F04.notifications",[875,879,883,887,891,895,899,903,907,911,915,919,923],{"title":876,"path":877,"stem":878},"In-App нотифікації через базу даних","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fin-app-database-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F01.in-app-database-notifications",{"title":880,"path":881,"stem":882},"Polling: Регулярний запит оновлень","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fpolling","01.csharp\u002F11.aspnet\u002F04.notifications\u002F02.polling",{"title":884,"path":885,"stem":886},"Server-Sent Events: Однострімовий push від сервера","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fserver-sent-events","01.csharp\u002F11.aspnet\u002F04.notifications\u002F03.server-sent-events",{"title":888,"path":889,"stem":890},"WebSockets: Двостороннє з'єднання в реальному часі","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fwebsockets","01.csharp\u002F11.aspnet\u002F04.notifications\u002F04.websockets",{"title":892,"path":893,"stem":894},"SignalR: Абстракція над транспортами реального часу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fsignalr","01.csharp\u002F11.aspnet\u002F04.notifications\u002F05.signalr",{"title":896,"path":897,"stem":898},"Background Services: Фонові задачі в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fbackground-services","01.csharp\u002F11.aspnet\u002F04.notifications\u002F06.background-services",{"title":900,"path":901,"stem":902},"Web Push нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fweb-push","01.csharp\u002F11.aspnet\u002F04.notifications\u002F07.web-push",{"title":904,"path":905,"stem":906},"Email нотифікації","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Femail-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F08.email-notifications",{"title":908,"path":909,"stem":910},"Порівняння підходів: Як вибрати правильну технологію нотифікацій","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fchoosing-the-right-approach","01.csharp\u002F11.aspnet\u002F04.notifications\u002F09.choosing-the-right-approach",{"title":912,"path":913,"stem":914},"Hangfire: Надійне планування фонових задач","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire","01.csharp\u002F11.aspnet\u002F04.notifications\u002F10.hangfire",{"title":916,"path":917,"stem":918},"Практика: Конвертація зображень у WebP через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-image-webp","01.csharp\u002F11.aspnet\u002F04.notifications\u002F11.hangfire-image-webp",{"title":920,"path":921,"stem":922},"Практика: Підготовка відео до HLS-стрімінгу через Hangfire","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Fhangfire-video-hls","01.csharp\u002F11.aspnet\u002F04.notifications\u002F12.hangfire-video-hls",{"title":924,"path":925,"stem":926},"Telegram-нотифікації: від одного повідомлення до масових розсилок і мульти-канального підходу","\u002Fcsharp\u002Faspnet\u002Fnotifications\u002Ftelegram-notifications","01.csharp\u002F11.aspnet\u002F04.notifications\u002F13.telegram-notifications",{"title":928,"icon":929,"path":930,"stem":931,"children":932,"page":59},"Інтернаціоналізація","i-lucide-languages","\u002Fcsharp\u002Faspnet\u002Fi18n","01.csharp\u002F11.aspnet\u002F05.i18n",[933,937],{"title":934,"path":935,"stem":936},"Інтернаціоналізація (i18n) у Minimal API: від A до Я","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Finternationalization","01.csharp\u002F11.aspnet\u002F05.i18n\u002F01.internationalization",{"title":938,"path":939,"stem":940},"Humanizer: людиномовні рядки у .NET","\u002Fcsharp\u002Faspnet\u002Fi18n\u002Fhumanizer","01.csharp\u002F11.aspnet\u002F05.i18n\u002F02.humanizer",{"title":942,"icon":943,"path":944,"stem":945,"children":946,"page":59},"Кешування","i-lucide-layers","\u002Fcsharp\u002Faspnet\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching",[947,951,955,959,963],{"title":948,"path":949,"stem":950},"Огляд кешування: чотири рівні і коли що обирати","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fcaching","01.csharp\u002F11.aspnet\u002F06.caching\u002F01.caching",{"title":952,"path":953,"stem":954},"IMemoryCache: кеш в оперативній пам'яті","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fmemory-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F02.memory-cache",{"title":956,"path":957,"stem":958},"IDistributedCache і Redis: розподілений кеш","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fdistributed-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F03.distributed-cache",{"title":960,"path":961,"stem":962},"Response Cache: HTTP-кешування через Cache-Control","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Fresponse-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F04.response-cache",{"title":964,"path":965,"stem":966},"Output Cache: серверний кеш HTTP-відповідей (.NET 7+)","\u002Fcsharp\u002Faspnet\u002Fcaching\u002Foutput-cache","01.csharp\u002F11.aspnet\u002F06.caching\u002F05.output-cache",{"title":968,"icon":969,"path":970,"stem":971,"children":972,"page":59},"Тестування","i-lucide-test-tube","\u002Fcsharp\u002Faspnet\u002Ftesting","01.csharp\u002F11.aspnet\u002F07.testing",[973,977,981,985,989,993,997,1001,1005,1009,1013,1017,1021,1025,1029,1033,1037,1041,1045,1049,1053],{"title":974,"path":975,"stem":976},"Що таке тестування? Від інтуїції до науки","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-is-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F01.what-is-testing",{"title":978,"path":979,"stem":980},"Піраміда тестування — Стратегія, а не Догма","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-pyramid","01.csharp\u002F11.aspnet\u002F07.testing\u002F02.testing-pyramid",{"title":982,"path":983,"stem":984},"Дві Школи Тестування — Лондон проти Детройту","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-schools","01.csharp\u002F11.aspnet\u002F07.testing\u002F03.testing-schools",{"title":986,"path":987,"stem":988},"TDD та BDD — Тести як Дизайн-інструмент","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftdd-and-bdd","01.csharp\u002F11.aspnet\u002F07.testing\u002F04.tdd-and-bdd",{"title":990,"path":991,"stem":992},"Що саме тестувати — Техніки аналізу та Циклomatична складність","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwhat-to-test","01.csharp\u002F11.aspnet\u002F07.testing\u002F05.what-to-test",{"title":994,"path":995,"stem":996},"Тестові Фреймворки — Навіщо вони і що всередині","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftest-frameworks","01.csharp\u002F11.aspnet\u002F07.testing\u002F06.test-frameworks",{"title":998,"path":999,"stem":1000},"xUnit — Факти, Теорії та Lifecycle тестів","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-basics","01.csharp\u002F11.aspnet\u002F07.testing\u002F07.xunit-basics",{"title":1002,"path":1003,"stem":1004},"xUnit Advanced — Fixtures, Кастомізація та Розширення","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fxunit-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F08.xunit-advanced",{"title":1006,"path":1007,"stem":1008},"Moq — Глибоке занурення в мокування","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fmocking-with-moq","01.csharp\u002F11.aspnet\u002F07.testing\u002F09.mocking-with-moq",{"title":1010,"path":1011,"stem":1012},"Тестування Баз Даних — EF Core, SQLite та Testcontainers","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fdatabase-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F10.database-testing",{"title":1014,"path":1015,"stem":1016},"Integration Testing — Частина 1 [Теорія та WebApplicationFactory]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F11.integration-testing",{"title":1018,"path":1019,"stem":1020},"Інтеграційне тестування — Практика","\u002Fcsharp\u002Faspnet\u002Ftesting\u002F11a.integration-testing-practice","01.csharp\u002F11.aspnet\u002F07.testing\u002F11a.integration-testing-practice",{"title":1022,"path":1023,"stem":1024},"Integration Testing — Частина 2 [Просунуті Сценарії та Testcontainers]","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fintegration-testing-advanced","01.csharp\u002F11.aspnet\u002F07.testing\u002F12.integration-testing-advanced",{"title":1026,"path":1027,"stem":1028},"Професійний Postman: Колекції, Змінні та GitHub Інтеграція","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fpostman-professional","01.csharp\u002F11.aspnet\u002F07.testing\u002F13.postman-professional",{"title":1030,"path":1031,"stem":1032},"HttpClient у Тестах Частина 1: Архітектура та MockHttpMessageHandler","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fhttpclient-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F14.httpclient-testing",{"title":1034,"path":1035,"stem":1036},"HttpClient у Тестах Частина 2: WireMock.Net та Resilience","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fwiremock-net","01.csharp\u002F11.aspnet\u002F07.testing\u002F15.wiremock-net",{"title":1038,"path":1039,"stem":1040},"Патерни та Анти-патерни Тестування: Test Smells","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Ftesting-patterns","01.csharp\u002F11.aspnet\u002F07.testing\u002F16.testing-patterns",{"title":1042,"path":1043,"stem":1044},"Просунуті інструменти: Time, Snapshots та Властивості","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fadvanced-testing-tools","01.csharp\u002F11.aspnet\u002F07.testing\u002F17.advanced-testing-tools",{"title":1046,"path":1047,"stem":1048},"Тестування Архітектури з NetArchTest","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Farchitecture-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F18.architecture-testing",{"title":1050,"path":1051,"stem":1052},"Тестування Продуктивності: BenchmarkDotNet, NBomber та k6","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fperformance-testing","01.csharp\u002F11.aspnet\u002F07.testing\u002F19.performance-testing",{"title":1054,"path":1055,"stem":1056},"Залишок плану для курсу \"Тестування ASP.NET Minimal API\"","\u002Fcsharp\u002Faspnet\u002Ftesting\u002Fremaining_plan","01.csharp\u002F11.aspnet\u002F07.testing\u002Fremaining_plan",{"title":1058,"icon":1059,"path":1060,"stem":1061,"children":1062,"page":59},"Платежі","i-lucide-credit-card","\u002Fcsharp\u002Faspnet\u002Fpayments","01.csharp\u002F11.aspnet\u002F08.payments",[1063,1067,1071,1075,1079,1083,1087,1091,1095,1099,1103,1107],{"title":1064,"path":1065,"stem":1066},"Основи платіжної інфраструктури","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-fundamentals","01.csharp\u002F11.aspnet\u002F08.payments\u002F01.payment-fundamentals",{"title":1068,"path":1069,"stem":1070},"Методи оплати в Україні","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-methods-ukraine","01.csharp\u002F11.aspnet\u002F08.payments\u002F02.payment-methods-ukraine",{"title":1072,"path":1073,"stem":1074},"PCI DSS та безпека платежів","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpci-dss-security","01.csharp\u002F11.aspnet\u002F08.payments\u002F03.pci-dss-security",{"title":1076,"path":1077,"stem":1078},"Архітектура платіжної підсистеми","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fpayment-architecture","01.csharp\u002F11.aspnet\u002F08.payments\u002F04.payment-architecture",{"title":1080,"path":1081,"stem":1082},"Інтеграція LiqPay (ПриватБанк)","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fliqpay-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F05.liqpay-integration",{"title":1084,"path":1085,"stem":1086},"Інтеграція Monobank Acquiring API","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fmonobank-acquiring","01.csharp\u002F11.aspnet\u002F08.payments\u002F06.monobank-acquiring",{"title":1088,"path":1089,"stem":1090},"Інтеграція Stripe","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fstripe-integration","01.csharp\u002F11.aspnet\u002F08.payments\u002F07.stripe-integration",{"title":1092,"path":1093,"stem":1094},"Webhooks — глибоке занурення","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fwebhooks-deep-dive","01.csharp\u002F11.aspnet\u002F08.payments\u002F08.webhooks-deep-dive",{"title":1096,"path":1097,"stem":1098},"Підписки та рекурентні платежі","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fsubscriptions-recurring","01.csharp\u002F11.aspnet\u002F08.payments\u002F09.subscriptions-recurring",{"title":1100,"path":1101,"stem":1102},"Повернення коштів та диспути","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Frefunds-disputes","01.csharp\u002F11.aspnet\u002F08.payments\u002F10.refunds-disputes",{"title":1104,"path":1105,"stem":1106},"Тестування платіжних інтеграцій","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Ftesting-payments","01.csharp\u002F11.aspnet\u002F08.payments\u002F11.testing-payments",{"title":1108,"path":1109,"stem":1110},"Чекліст виходу в Production","\u002Fcsharp\u002Faspnet\u002Fpayments\u002Fproduction-checklist","01.csharp\u002F11.aspnet\u002F08.payments\u002F12.production-checklist",{"title":1112,"icon":1113,"items":1114,"path":1127,"stem":1128,"children":1129,"page":59},"Популярні бібліотеки","lucide:box",[1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126],"01.fluent-validation","02.mapster","03.erroror-result-pattern","04.serilog","05.mediatr","06.polly","07.health-checks","08.feature-management","09.fluent-email","10.quest-pdf","11.bogus","12.humanizer-guard","\u002Fcsharp\u002Faspnet\u002Flibraries","01.csharp\u002F11.aspnet\u002F09.libraries",[1130,1134,1138,1142,1146,1150,1154,1158,1162,1166,1170,1174,1178],{"title":1131,"path":1132,"stem":1133},"Валідація з FluentValidation в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-validation","01.csharp\u002F11.aspnet\u002F09.libraries\u002F01.fluent-validation",{"title":1135,"path":1136,"stem":1137},"Маппінг об","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmapster","01.csharp\u002F11.aspnet\u002F09.libraries\u002F02.mapster",{"title":1139,"path":1140,"stem":1141},"Обробка помилок з ErrorOr та Result Pattern в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ferroror-result-pattern","01.csharp\u002F11.aspnet\u002F09.libraries\u002F03.erroror-result-pattern",{"title":1143,"path":1144,"stem":1145},"Структуроване логування з Serilog в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fserilog","01.csharp\u002F11.aspnet\u002F09.libraries\u002F04.serilog",{"title":1147,"path":1148,"stem":1149},"CQRS та Mediator з MediatR в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fmediatr","01.csharp\u002F11.aspnet\u002F09.libraries\u002F05.mediatr",{"title":1151,"path":1152,"stem":1153},"Відмовостійкість з Polly в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fpolly","01.csharp\u002F11.aspnet\u002F09.libraries\u002F06.polly",{"title":1155,"path":1156,"stem":1157},"Health Checks в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F09.libraries\u002F07.health-checks",{"title":1159,"path":1160,"stem":1161},"Feature Management та Feature Flags в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffeature-management","01.csharp\u002F11.aspnet\u002F09.libraries\u002F08.feature-management",{"title":1163,"path":1164,"stem":1165},"Відправка Email з FluentEmail в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Ffluent-email","01.csharp\u002F11.aspnet\u002F09.libraries\u002F09.fluent-email",{"title":1167,"path":1168,"stem":1169},"Генерація PDF з QuestPDF в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fquest-pdf","01.csharp\u002F11.aspnet\u002F09.libraries\u002F10.quest-pdf",{"title":1171,"path":1172,"stem":1173},"Генерація тестових даних з Bogus в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fbogus","01.csharp\u002F11.aspnet\u002F09.libraries\u002F11.bogus",{"title":1175,"path":1176,"stem":1177},"Humanizer та Guard Clauses в ASP.NET Core","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fhumanizer-guard","01.csharp\u002F11.aspnet\u002F09.libraries\u002F12.humanizer-guard",{"title":1179,"path":1180,"stem":1181},"План модуля 10.libraries — Популярні бібліотеки ASP.NET","\u002Fcsharp\u002Faspnet\u002Flibraries\u002Fplan","01.csharp\u002F11.aspnet\u002F09.libraries\u002Fplan",{"title":1183,"icon":1184,"path":1185,"stem":1186,"children":1187,"page":59},"Razor Pages","i-lucide-layout-template","\u002Fcsharp\u002Faspnet\u002Frazor-pages","01.csharp\u002F11.aspnet\u002F10.razor-pages",[1188,1192,1196,1200,1204,1208],{"title":1189,"path":1190,"stem":1191},"Від Minimal API до Razor Pages: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ffrom-minimal-api","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F01.from-minimal-api",{"title":1193,"path":1194,"stem":1195},"PageModel: логіка сторінки Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fpage-model","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F02.page-model",{"title":1197,"path":1198,"stem":1199},"Razor синтаксис: шаблонізатор у .cshtml","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Frazor-syntax","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F03.razor-syntax",{"title":1201,"path":1202,"stem":1203},"Tag Helpers: типізований HTML","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Ftag-helpers","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F04.tag-helpers",{"title":1205,"path":1206,"stem":1207},"Форми і валідація: повний цикл обробки даних","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fforms-validation","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F05.forms-validation",{"title":1209,"path":1210,"stem":1211},"Практичний проєкт: TaskManager на Razor Pages","\u002Fcsharp\u002Faspnet\u002Frazor-pages\u002Fproject-task-manager","01.csharp\u002F11.aspnet\u002F10.razor-pages\u002F06.project-task-manager",{"title":1213,"path":1214,"stem":1215,"children":1216,"page":59},"ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc","01.csharp\u002F11.aspnet\u002F11.mvc",[1217,1221,1225,1229,1233,1237,1241,1245,1249,1253,1257,1261,1265,1269,1273,1277,1281,1285],{"title":1218,"path":1219,"stem":1220},"Патерн MVC: архітектура, що змінила веб","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-pattern","01.csharp\u002F11.aspnet\u002F11.mvc\u002F01.mvc-pattern",{"title":1222,"path":1223,"stem":1224},"Від Razor Pages до MVC: концептуальний перехід","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffrom-razor-pages","01.csharp\u002F11.aspnet\u002F11.mvc\u002F02.from-razor-pages",{"title":1226,"path":1227,"stem":1228},"Controllers та Actions: серце MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fcontrollers-actions","01.csharp\u002F11.aspnet\u002F11.mvc\u002F03.controllers-actions",{"title":1230,"path":1231,"stem":1232},"Маршрутизація в MVC: Convention vs Attribute Routing","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Frouting-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F04.routing-mvc",{"title":1234,"path":1235,"stem":1236},"Model Binding: від HTTP до C#","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmodel-binding","01.csharp\u002F11.aspnet\u002F11.mvc\u002F05.model-binding",{"title":1238,"path":1239,"stem":1240},"Views, ViewData, ViewBag, TempData і ViewModel","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fviews-viewdata-tempdata","01.csharp\u002F11.aspnet\u002F11.mvc\u002F06.views-viewdata-tempdata",{"title":1242,"path":1243,"stem":1244},"Filters: аспектно-орієнтоване програмування в MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffilters","01.csharp\u002F11.aspnet\u002F11.mvc\u002F07.filters",{"title":1246,"path":1247,"stem":1248},"Areas: структурування великих застосунків","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fareas","01.csharp\u002F11.aspnet\u002F11.mvc\u002F08.areas",{"title":1250,"path":1251,"stem":1252},"View Components: повторювані незалежні блоки UI","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fview-components","01.csharp\u002F11.aspnet\u002F11.mvc\u002F09.view-components",{"title":1254,"path":1255,"stem":1256},"Display та Editor Templates","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fdisplay-editor-templates","01.csharp\u002F11.aspnet\u002F11.mvc\u002F10.display-editor-templates",{"title":1258,"path":1259,"stem":1260},"Валідація: IValidatableObject та FluentValidation","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fvalidation-advanced","01.csharp\u002F11.aspnet\u002F11.mvc\u002F11.validation-advanced",{"title":1262,"path":1263,"stem":1264},"HTMX: інтерактивність через HTML-атрибути","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx","01.csharp\u002F11.aspnet\u002F11.mvc\u002F12.htmx",{"title":1266,"path":1267,"stem":1268},"HTMX у ASP.NET Core MVC: серверна інтеграція","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fajax-htmx-mvc","01.csharp\u002F11.aspnet\u002F11.mvc\u002F13.ajax-htmx-mvc",{"title":1270,"path":1271,"stem":1272},"Практичний проєкт: Каталог товарів з HTMX","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fhtmx-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F14.htmx-project",{"title":1274,"path":1275,"stem":1276},"Завантаження та обробка файлів","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Ffile-upload","01.csharp\u002F11.aspnet\u002F11.mvc\u002F15.file-upload",{"title":1278,"path":1279,"stem":1280},"Глобалізація та Локалізація MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fglobalization-localization","01.csharp\u002F11.aspnet\u002F11.mvc\u002F16.globalization-localization",{"title":1282,"path":1283,"stem":1284},"Підсумковий проєкт: Блог-платформа","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fmvc-project","01.csharp\u002F11.aspnet\u002F11.mvc\u002F17.mvc-project",{"title":1286,"path":1287,"stem":1288},"План курсу: ASP.NET Core MVC","\u002Fcsharp\u002Faspnet\u002Fmvc\u002Fplan","01.csharp\u002F11.aspnet\u002F11.mvc\u002Fplan",{"title":1290,"path":1291,"stem":1292,"children":1293,"page":59},"Web Api","\u002Fcsharp\u002Faspnet\u002Fweb-api","01.csharp\u002F11.aspnet\u002F12.web-api",[1294,1298,1302,1306,1310,1314,1318,1322,1326,1330,1334,1338,1342],{"title":1295,"path":1296,"stem":1297},"Від Minimal API до Controller-based API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffrom-minimal-api-to-controllers","01.csharp\u002F11.aspnet\u002F12.web-api\u002F01.from-minimal-api-to-controllers",{"title":1299,"path":1300,"stem":1301},"ControllerBase, ActionResult\u003CT> та Response Types","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontroller-base-actionresult","01.csharp\u002F11.aspnet\u002F12.web-api\u002F02.controller-base-actionresult",{"title":1303,"path":1304,"stem":1305},"Content Negotiation - JSON, XML та власні форматери","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fcontent-negotiation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F03.content-negotiation",{"title":1307,"path":1308,"stem":1309},"Версіонування API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-versioning","01.csharp\u002F11.aspnet\u002F12.web-api\u002F04.api-versioning",{"title":1311,"path":1312,"stem":1313},"ProblemDetails та структурована обробка помилок","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fproblemdetails-error-handling","01.csharp\u002F11.aspnet\u002F12.web-api\u002F05.problemdetails-error-handling",{"title":1315,"path":1316,"stem":1317},"Фільтри у Web API контексті","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Ffilters-for-api","01.csharp\u002F11.aspnet\u002F12.web-api\u002F06.filters-for-api",{"title":1319,"path":1320,"stem":1321},"Пагінація, фільтрація та сортування","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fpagination-filtering-sorting","01.csharp\u002F11.aspnet\u002F12.web-api\u002F07.pagination-filtering-sorting",{"title":1323,"path":1324,"stem":1325},"HATEOAS та Resource Expansion","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhateoas-resource-expansion","01.csharp\u002F11.aspnet\u002F12.web-api\u002F08.hateoas-resource-expansion",{"title":1327,"path":1328,"stem":1329},"Гібридна архітектура - Minimal API + Controllers","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fminimal-api-vs-controllers-hybrid","01.csharp\u002F11.aspnet\u002F12.web-api\u002F09.minimal-api-vs-controllers-hybrid",{"title":1331,"path":1332,"stem":1333},"Документація API - Swashbuckle, NSwag та генерація клієнтів","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fapi-documentation-generation","01.csharp\u002F11.aspnet\u002F12.web-api\u002F10.api-documentation-generation",{"title":1335,"path":1336,"stem":1337},"Health Checks та моніторинг API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fhealth-checks-monitoring","01.csharp\u002F11.aspnet\u002F12.web-api\u002F11.health-checks-monitoring",{"title":1339,"path":1340,"stem":1341},"Підсумковий проєкт - Production-Ready REST API","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fweb-api-project","01.csharp\u002F11.aspnet\u002F12.web-api\u002F12.web-api-project",{"title":1343,"path":1344,"stem":1345},"План курсу: ASP.NET Core Web API (Controllers)","\u002Fcsharp\u002Faspnet\u002Fweb-api\u002Fplan","01.csharp\u002F11.aspnet\u002F12.web-api\u002Fplan",{"title":1347,"icon":1348,"path":1349,"stem":1350,"children":1351,"page":59},"Моніторинг","i-lucide-activity","\u002Fcsharp\u002Faspnet\u002Fmonitoring","01.csharp\u002F11.aspnet\u002F13.monitoring",[1352,1356,1360],{"title":1353,"path":1354,"stem":1355},"Спостережуваність: від console.log до production-систем","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fobservability-intro","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F01.observability-intro",{"title":1357,"path":1358,"stem":1359},"Health Checks: перший рівень observability","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fhealth-checks","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F02.health-checks",{"title":1361,"path":1362,"stem":1363},"Вбудовані метрики .NET 10 та System.Diagnostics.Metrics","\u002Fcsharp\u002Faspnet\u002Fmonitoring\u002Fdotnet-metrics","01.csharp\u002F11.aspnet\u002F13.monitoring\u002F03.dotnet-metrics",{"title":1365,"icon":1366,"path":1367,"stem":1368,"children":1369,"page":59},"Desktop UI","i-lucide-app-window","\u002Fcsharp\u002Fdesktop-ui","01.csharp\u002F12.desktop-ui",[1370,1374,1378,1382,1386,1390,1394,1398,1402,1406,1410,1414,1418,1422,1426,1430,1434,1438,1442,1446,1450,1454,1458,1462,1466,1470,1474,1478,1482,1486,1490,1494,1498,1502,1506,1510,1514,1518,1522,1526,1530,1534,1538,1542,1546,1550,1554,1558,1562,1566,1570,1574,1578,1582,1586,1590,1594,1598,1602,1606,1610,1614,1618,1622,1626,1630,1634,1638,1642,1646,1650],{"title":1371,"path":1372,"stem":1373},"Що таке десктопна розробка?","\u002Fcsharp\u002Fdesktop-ui\u002Fwhat-is-desktop-dev","01.csharp\u002F12.desktop-ui\u002F01.what-is-desktop-dev",{"title":1375,"path":1376,"stem":1377},"Архітектура WPF — як влаштований графічний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-architecture","01.csharp\u002F12.desktop-ui\u002F02.wpf-architecture",{"title":1379,"path":1380,"stem":1381},"Перший WPF-проєкт — від нуля до вікна","\u002Fcsharp\u002Fdesktop-ui\u002Ffirst-wpf-app","01.csharp\u002F12.desktop-ui\u002F03.first-wpf-app",{"title":1383,"path":1384,"stem":1385},"Перший Avalonia-проєкт: WPF для всіх платформ","\u002Fcsharp\u002Fdesktop-ui\u002F03a.first-avalonia-app","01.csharp\u002F12.desktop-ui\u002F03a.first-avalonia-app",{"title":1387,"path":1388,"stem":1389},"XAML: декларативний інтерфейс","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-basics","01.csharp\u002F12.desktop-ui\u002F04.xaml-basics",{"title":1391,"path":1392,"stem":1393},"Fluent UI у WPF — сучасний дизайн Windows 11","\u002Fcsharp\u002Fdesktop-ui\u002F04a.wpf-fluent-ui","01.csharp\u002F12.desktop-ui\u002F04a.wpf-fluent-ui",{"title":1395,"path":1396,"stem":1397},"WPF UI — сучасна бібліотека Fluent контролів","\u002Fcsharp\u002Fdesktop-ui\u002F04b.wpf-ui-library","01.csharp\u002F12.desktop-ui\u002F04b.wpf-ui-library",{"title":1399,"path":1400,"stem":1401},"HandyControl — велика бібліотека UI контролів для WPF","\u002Fcsharp\u002Fdesktop-ui\u002F04c.handycontrol-library","01.csharp\u002F12.desktop-ui\u002F04c.handycontrol-library",{"title":1403,"path":1404,"stem":1405},"Простори імен та ресурси XAML","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-namespaces-resources","01.csharp\u002F12.desktop-ui\u002F05.xaml-namespaces-resources",{"title":1407,"path":1408,"stem":1409},"XAML в Avalonia: ключові відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F05a.avalonia-xaml-differences","01.csharp\u002F12.desktop-ui\u002F05a.avalonia-xaml-differences",{"title":1411,"path":1412,"stem":1413},"Розширення розмітки XAML (Markup Extensions)","\u002Fcsharp\u002Fdesktop-ui\u002Fxaml-markup-extensions","01.csharp\u002F12.desktop-ui\u002F06.xaml-markup-extensions",{"title":1415,"path":1416,"stem":1417},"Панелі Layout: StackPanel, WrapPanel, DockPanel","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part1","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part1",{"title":1419,"path":1420,"stem":1421},"Grid, Canvas, UniformGrid","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-panels-part2","01.csharp\u002F12.desktop-ui\u002F07.layout-panels-part2",{"title":1423,"path":1424,"stem":1425},"Просунуті техніки Layout","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-advanced","01.csharp\u002F12.desktop-ui\u002F08.layout-advanced",{"title":1427,"path":1428,"stem":1429},"Адаптивний Layout та найкращі практики","\u002Fcsharp\u002Fdesktop-ui\u002Flayout-responsive","01.csharp\u002F12.desktop-ui\u002F09.layout-responsive",{"title":1431,"path":1432,"stem":1433},"Layout в Avalonia: відмінності та нові можливості","\u002Fcsharp\u002Fdesktop-ui\u002F09a.layout-avalonia","01.csharp\u002F12.desktop-ui\u002F09a.layout-avalonia",{"title":1435,"path":1436,"stem":1437},"Button, Image, ProgressBar та інші базові контроли","\u002Fcsharp\u002Fdesktop-ui\u002Fbasic-controls","01.csharp\u002F12.desktop-ui\u002F10.basic-controls",{"title":1439,"path":1440,"stem":1441},"Контроли в Avalonia: відмінності від WPF","\u002Fcsharp\u002Fdesktop-ui\u002F10a.controls-avalonia","01.csharp\u002F12.desktop-ui\u002F10a.controls-avalonia",{"title":1443,"path":1444,"stem":1445},"Текстові контроли — TextBlock, TextBox, RichTextBox","\u002Fcsharp\u002Fdesktop-ui\u002Ftext-controls","01.csharp\u002F12.desktop-ui\u002F11.text-controls",{"title":1447,"path":1448,"stem":1449},"Контроли вибору — CheckBox, RadioButton, ComboBox, ListBox, DatePicker","\u002Fcsharp\u002Fdesktop-ui\u002Fselection-controls","01.csharp\u002F12.desktop-ui\u002F12.selection-controls",{"title":1451,"path":1452,"stem":1453},"Content Model — GroupBox, Expander, TabControl, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fcontent-controls","01.csharp\u002F12.desktop-ui\u002F13.content-controls",{"title":1455,"path":1456,"stem":1457},"UI\u002FUX принципи десктопних застосунків","\u002Fcsharp\u002Fdesktop-ui\u002F13a.ui-ux-principles","01.csharp\u002F12.desktop-ui\u002F13a.ui-ux-principles",{"title":1459,"path":1460,"stem":1461},"Dependency Properties — Концепція та Value Resolution","\u002Fcsharp\u002Fdesktop-ui\u002Fdependency-properties-part1","01.csharp\u002F12.desktop-ui\u002F14.dependency-properties-part1",{"title":1463,"path":1464,"stem":1465},"Avalonia Property System — StyledProperty та DirectProperty","\u002Fcsharp\u002Fdesktop-ui\u002F14a.avalonia-property-system","01.csharp\u002F12.desktop-ui\u002F14a.avalonia-property-system",{"title":1467,"path":1468,"stem":1469},"Attached Properties — Властивості без меж","\u002Fcsharp\u002Fdesktop-ui\u002Fattached-properties","01.csharp\u002F12.desktop-ui\u002F15.attached-properties",{"title":1471,"path":1472,"stem":1473},"Routed Events — Маршрутизація подій у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Frouted-events","01.csharp\u002F12.desktop-ui\u002F16.routed-events",{"title":1475,"path":1476,"stem":1477},"Data Binding — Від Code-Behind до Декларативності","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part1","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part1",{"title":1479,"path":1480,"stem":1481},"INotifyPropertyChanged — Живе оновлення UI","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-basics-part2","01.csharp\u002F12.desktop-ui\u002F17.data-binding-basics-part2",{"title":1483,"path":1484,"stem":1485},"Compiled Bindings в Avalonia — Безпека на етапі компіляції","\u002Fcsharp\u002Fdesktop-ui\u002F17a.avalonia-compiled-bindings","01.csharp\u002F12.desktop-ui\u002F17a.avalonia-compiled-bindings",{"title":1487,"path":1488,"stem":1489},"Просунутий Data Binding — ElementName, RelativeSource, MultiBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-binding-advanced","01.csharp\u002F12.desktop-ui\u002F18.data-binding-advanced",{"title":1491,"path":1492,"stem":1493},"Value Converters — Перетворення типів даних у Data Binding","\u002Fcsharp\u002Fdesktop-ui\u002Fvalue-converters","01.csharp\u002F12.desktop-ui\u002F19.value-converters",{"title":1495,"path":1496,"stem":1497},"Data Templates — Візуалізація об'єктів у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-templates","01.csharp\u002F12.desktop-ui\u002F20.data-templates",{"title":1499,"path":1500,"stem":1501},"Collections Binding Part 1 — ObservableCollection та ItemsControl","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part1","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part1",{"title":1503,"path":1504,"stem":1505},"Collections Binding Part 2 — ICollectionView, Filtering, Sorting та Virtualization","\u002Fcsharp\u002Fdesktop-ui\u002Fcollections-binding-part2","01.csharp\u002F12.desktop-ui\u002F21.collections-binding-part2",{"title":1507,"path":1508,"stem":1509},"MVVM Pattern — Від Spaghetti Code до архітектури","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-pattern","01.csharp\u002F12.desktop-ui\u002F22.mvvm-pattern",{"title":1511,"path":1512,"stem":1513},"ViewModel Implementation — Від BaseViewModel до валідації","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-implementation","01.csharp\u002F12.desktop-ui\u002F23.viewmodel-implementation",{"title":1515,"path":1516,"stem":1517},"Commands — Від event handlers до декларативних команд","\u002Fcsharp\u002Fdesktop-ui\u002Fcommands","01.csharp\u002F12.desktop-ui\u002F24.commands",{"title":1519,"path":1520,"stem":1521},"MVVM Toolkit — MVVM без boilerplate через Source Generators","\u002Fcsharp\u002Fdesktop-ui\u002Fmvvm-toolkit","01.csharp\u002F12.desktop-ui\u002F25.mvvm-toolkit",{"title":1523,"path":1524,"stem":1525},"Messenger Pattern — Комунікація між ViewModel без прямих посилань","\u002Fcsharp\u002Fdesktop-ui\u002Fmessenger-pattern","01.csharp\u002F12.desktop-ui\u002F26.messenger-pattern",{"title":1527,"path":1528,"stem":1529},"Стилі WPF — CSS для десктопу","\u002Fcsharp\u002Fdesktop-ui\u002Fstyles-basics","01.csharp\u002F12.desktop-ui\u002F27.styles-basics",{"title":1531,"path":1532,"stem":1533},"CSS-like стилі Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F27a.avalonia-css-styling","01.csharp\u002F12.desktop-ui\u002F27a.avalonia-css-styling",{"title":1535,"path":1536,"stem":1537},"Control Templates — Частина 1. Концепція та TemplateBinding","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part1","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part1",{"title":1539,"path":1540,"stem":1541},"Control Templates — Частина 2. Named Parts та ContentPresenter","\u002Fcsharp\u002Fdesktop-ui\u002Fcontrol-templates-part2","01.csharp\u002F12.desktop-ui\u002F28.control-templates-part2",{"title":1543,"path":1544,"stem":1545},"Control Themes в Avalonia — нова ера стилізації","\u002Fcsharp\u002Fdesktop-ui\u002F28a.avalonia-control-themes","01.csharp\u002F12.desktop-ui\u002F28a.avalonia-control-themes",{"title":1547,"path":1548,"stem":1549},"Triggers та Visual State Manager у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Ftriggers-visual-states","01.csharp\u002F12.desktop-ui\u002F29.triggers-visual-states",{"title":1551,"path":1552,"stem":1553},"Pseudo-classes в Avalonia — замість WPF Triggers","\u002Fcsharp\u002Fdesktop-ui\u002F29a.avalonia-pseudo-classes","01.csharp\u002F12.desktop-ui\u002F29a.avalonia-pseudo-classes",{"title":1555,"path":1556,"stem":1557},"Теми та ресурсні словники у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fresources-themes","01.csharp\u002F12.desktop-ui\u002F30.resources-themes",{"title":1559,"path":1560,"stem":1561},"Avalonia Themes — Fluent Design та система тематизації","\u002Fcsharp\u002Fdesktop-ui\u002F30a.avalonia-themes-fluent","01.csharp\u002F12.desktop-ui\u002F30a.avalonia-themes-fluent",{"title":1563,"path":1564,"stem":1565},"Контроли колекцій — глибоке занурення","\u002Fcsharp\u002Fdesktop-ui\u002Fcollection-controls","01.csharp\u002F12.desktop-ui\u002F31.collection-controls",{"title":1567,"path":1568,"stem":1569},"DataGrid — колонки та базове відображення","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part1","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part1",{"title":1571,"path":1572,"stem":1573},"DataGrid — сортування, фільтрація, редагування","\u002Fcsharp\u002Fdesktop-ui\u002Fdatagrid-part2","01.csharp\u002F12.desktop-ui\u002F32.datagrid-part2",{"title":1575,"path":1576,"stem":1577},"TreeView та GridView","\u002Fcsharp\u002Fdesktop-ui\u002Ftreeview-listview","01.csharp\u002F12.desktop-ui\u002F33.treeview-listview",{"title":1579,"path":1580,"stem":1581},"Меню, Toolbar, ContextMenu, StatusBar","\u002Fcsharp\u002Fdesktop-ui\u002Fmenus-toolbars","01.csharp\u002F12.desktop-ui\u002F34.menus-toolbars",{"title":1583,"path":1584,"stem":1585},"Навігація та керування вікнами. Частина 1: вікна та сторінки","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part1","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part1",{"title":1587,"path":1588,"stem":1589},"Навігація та керування вікнами. Частина 2: MVVM-навігація","\u002Fcsharp\u002Fdesktop-ui\u002Fnavigation-windows-part2","01.csharp\u002F12.desktop-ui\u002F35.navigation-windows-part2",{"title":1591,"path":1592,"stem":1593},"Avalonia — Навігація та діалоги","\u002Fcsharp\u002Fdesktop-ui\u002F35a.avalonia-navigation-dialogs","01.csharp\u002F12.desktop-ui\u002F35a.avalonia-navigation-dialogs",{"title":1595,"path":1596,"stem":1597},"Діалоги та File Pickers у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fdialogs-file-pickers","01.csharp\u002F12.desktop-ui\u002F36.dialogs-file-pickers",{"title":1599,"path":1600,"stem":1601},"UserControl: компонентний підхід у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fuser-controls","01.csharp\u002F12.desktop-ui\u002F37.user-controls",{"title":1603,"path":1604,"stem":1605},"Custom Controls: Lookless Controls у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fcustom-controls","01.csharp\u002F12.desktop-ui\u002F38.custom-controls",{"title":1607,"path":1608,"stem":1609},"Avalonia TemplatedControl — Lookless Controls","\u002Fcsharp\u002Fdesktop-ui\u002F38a.avalonia-templated-controls","01.csharp\u002F12.desktop-ui\u002F38a.avalonia-templated-controls",{"title":1611,"path":1612,"stem":1613},"Анімації у WPF: Storyboard та Easing Functions","\u002Fcsharp\u002Fdesktop-ui\u002Fanimations-transitions","01.csharp\u002F12.desktop-ui\u002F39.animations-transitions",{"title":1615,"path":1616,"stem":1617},"Анімації в Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002F39a.avalonia-animations","01.csharp\u002F12.desktop-ui\u002F39a.avalonia-animations",{"title":1619,"path":1620,"stem":1621},"2D Графіка та Мультимедіа у WPF","\u002Fcsharp\u002Fdesktop-ui\u002Fmedia-graphics","01.csharp\u002F12.desktop-ui\u002F40.media-graphics",{"title":1623,"path":1624,"stem":1625},"Dependency Injection у WPF та Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Fdi-integration","01.csharp\u002F12.desktop-ui\u002F41.di-integration",{"title":1627,"path":1628,"stem":1629},"SQLite та EF Core у десктопних додатках","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part1","01.csharp\u002F12.desktop-ui\u002F42.data-persistence-part1",{"title":1631,"path":1632,"stem":1633},"Repository Pattern та Unit of Work","\u002Fcsharp\u002Fdesktop-ui\u002Fdata-persistence-part2","01.csharp\u002F12.desktop-ui\u002F43.data-persistence-part2",{"title":1635,"path":1636,"stem":1637},"Тестування ViewModels","\u002Fcsharp\u002Fdesktop-ui\u002Fviewmodel-testing","01.csharp\u002F12.desktop-ui\u002F44.viewmodel-testing",{"title":1639,"path":1640,"stem":1641},"Avalonia Headless Testing — тестування UI без вікон","\u002Fcsharp\u002Fdesktop-ui\u002F44a.avalonia-headless-testing","01.csharp\u002F12.desktop-ui\u002F44a.avalonia-headless-testing",{"title":1643,"path":1644,"stem":1645},"Кросплатформна розробка з Avalonia","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-cross-platform","01.csharp\u002F12.desktop-ui\u002F45.avalonia-cross-platform",{"title":1647,"path":1648,"stem":1649},"Пакування та розгортання Avalonia додатків","\u002Fcsharp\u002Fdesktop-ui\u002Favalonia-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F46.avalonia-packaging-deployment",{"title":1651,"path":1652,"stem":1653},"Розгортання WPF застосунків","\u002Fcsharp\u002Fdesktop-ui\u002Fwpf-packaging-deployment","01.csharp\u002F12.desktop-ui\u002F47.wpf-packaging-deployment",{"title":1655,"icon":658,"path":1656,"stem":1657,"children":1658,"page":59},"Network Programming","\u002Fcsharp\u002Fnetwork-programming","01.csharp\u002F13.network-programming",[1659,1663,1667,1671,1675,1679,1683,1687,1691,1695,1699],{"title":1660,"path":1661,"stem":1662},"Основи комп'ютерних мереж","\u002Fcsharp\u002Fnetwork-programming\u002Ffoundations","01.csharp\u002F13.network-programming\u002F01.foundations",{"title":1664,"path":1665,"stem":1666},"Модель OSI та стек TCP\u002FIP","\u002Fcsharp\u002Fnetwork-programming\u002Fosi-model","01.csharp\u002F13.network-programming\u002F02.osi-model",{"title":1668,"path":1669,"stem":1670},"IP-протокол та адресація","\u002Fcsharp\u002Fnetwork-programming\u002Fip-addressing","01.csharp\u002F13.network-programming\u002F03.ip-addressing",{"title":1672,"path":1673,"stem":1674},"UDP — протокол без з'єднання","\u002Fcsharp\u002Fnetwork-programming\u002Fudp","01.csharp\u002F13.network-programming\u002F05.udp",{"title":1676,"path":1677,"stem":1678},"UDP Broadcast та Multicast","\u002Fcsharp\u002Fnetwork-programming\u002Fudp-broadcast-multicast","01.csharp\u002F13.network-programming\u002F06.udp-broadcast-multicast",{"title":1680,"path":1681,"stem":1682},"HTTP — протокол вебу","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-fundamentals","01.csharp\u002F13.network-programming\u002F07.http-fundamentals",{"title":1684,"path":1685,"stem":1686},"HttpListener — вбудований HTTP-сервер .NET","\u002Fcsharp\u002Fnetwork-programming\u002F07a.http-listener","01.csharp\u002F13.network-programming\u002F07a.http-listener",{"title":1688,"path":1689,"stem":1690},"HTTP Advanced — cookies, аутентифікація та HTTPS","\u002Fcsharp\u002Fnetwork-programming\u002Fhttp-advanced","01.csharp\u002F13.network-programming\u002F08.http-advanced",{"title":1692,"path":1693,"stem":1694},"SMTP та протоколи електронної пошти","\u002Fcsharp\u002Fnetwork-programming\u002Fsmtp","01.csharp\u002F13.network-programming\u002F09.smtp",{"title":1696,"path":1697,"stem":1698},"WebSocket — повнодуплексний протокол реального часу","\u002Fcsharp\u002Fnetwork-programming\u002Fwebsockets","01.csharp\u002F13.network-programming\u002F10.websockets",{"title":1700,"path":1701,"stem":1702},"TLS\u002FSSL — криптографічний захист мережевих з'єднань","\u002Fcsharp\u002Fnetwork-programming\u002Ftls-ssl","01.csharp\u002F13.network-programming\u002F11.tls-ssl",{"title":1704,"path":1705,"stem":1706},"C# & .NET: The Ultimate Roadmap","\u002Fcsharp\u002Froadmap","01.csharp\u002Froadmap",{"title":1708,"icon":1709,"path":1710,"stem":1711,"children":1712,"page":59},"C++","i-devicon-cplusplus","\u002Fcpp","02.cpp",[1713,1717,1721,1725,1729,1733,1737,1741,1745,1748,1752,1756,1760,1764,1768,1772,1776,1780,1784,1788,1792,1796,1800,1804,1808,1812,1816,1820,1824,1828,1832,1836,1840,1844,1848,1852,1856,1860,1864,1868,1872,1876,1880,1884,1888,1892,1896,1900,1904,1908,1912,1916,1920,1924,1928,1932,1936,1940,1944,1948,1952,1956,1960,1964,1968,1972,1976,1980,1984,1988,1992,1996,2000,2004,2008,2012,2016,2020,2024,2028,2032,2036,2040,2044,2048,2052,2056,2060,2064,2068,2072,2076,2080],{"title":1714,"path":1715,"stem":1716},"Вступ у програмування та алгоритми","\u002Fcpp\u002Fintro-algorithms","02.cpp\u002F01.intro-algorithms",{"title":1718,"path":1719,"stem":1720},"Code Style: угоди про оформлення коду","\u002Fcpp\u002Fcode-style","02.cpp\u002F02.code-style",{"title":1722,"path":1723,"stem":1724},"Середовище розробки та перший проєкт","\u002Fcpp\u002Fide-setup","02.cpp\u002F03.ide-setup",{"title":1726,"path":1727,"stem":1728},"Вивід даних на екран","\u002Fcpp\u002Fdata-output","02.cpp\u002F04.data-output",{"title":1730,"path":1731,"stem":1732},"Типи даних, змінні та константи","\u002Fcpp\u002Fdata-types-variables","02.cpp\u002F05.data-types-variables",{"title":1734,"path":1735,"stem":1736},"Ввід даних з клавіатури","\u002Fcpp\u002Fdata-input","02.cpp\u002F06.data-input",{"title":1738,"path":1739,"stem":1740},"Оператори, перетворення типів та логічні операції","\u002Fcpp\u002Foperators-type-conversion","02.cpp\u002F07.operators-type-conversion",{"title":1742,"path":1743,"stem":1744},"Цикли","\u002Fcpp\u002Floops","02.cpp\u002F08.loops",{"title":32,"path":1746,"stem":1747},"\u002Fcpp\u002Farrays","02.cpp\u002F09.arrays",{"title":1749,"path":1750,"stem":1751},"Алгоритми сортування та аналіз складності","\u002Fcpp\u002Fsorting","02.cpp\u002F10.sorting",{"title":1753,"path":1754,"stem":1755},"Алгоритми пошуку","\u002Fcpp\u002Fsearching","02.cpp\u002F11.searching",{"title":1757,"path":1758,"stem":1759},"Функції: основи","\u002Fcpp\u002Ffunctions-basics","02.cpp\u002F12.functions-basics",{"title":1761,"path":1762,"stem":1763},"Функції: прототипи, область видимості та додаткові можливості","\u002Fcpp\u002Ffunctions-scope","02.cpp\u002F13.functions-scope",{"title":1765,"path":1766,"stem":1767},"Функції: перевантаження та шаблони","\u002Fcpp\u002Ffunctions-overloading-templates","02.cpp\u002F14.functions-overloading-templates",{"title":1769,"path":1770,"stem":1771},"Вказівники: основи","\u002Fcpp\u002Fpointers-basics","02.cpp\u002F15.pointers-basics",{"title":1773,"path":1774,"stem":1775},"Посилання (References)","\u002Fcpp\u002Freferences","02.cpp\u002F16.references",{"title":1777,"path":1778,"stem":1779},"Вказівники, const і масиви","\u002Fcpp\u002Fpointers-const-arrays","02.cpp\u002F17.pointers-const-arrays",{"title":1781,"path":1782,"stem":1783},"Адресна арифметика","\u002Fcpp\u002Fpointer-arithmetic","02.cpp\u002F18.pointer-arithmetic",{"title":1785,"path":1786,"stem":1787},"Динамічна пам'ять","\u002Fcpp\u002Fdynamic-memory","02.cpp\u002F19.dynamic-memory",{"title":1789,"path":1790,"stem":1791},"Вказівники типу void","\u002Fcpp\u002Fvoid-pointers","02.cpp\u002F20.void-pointers",{"title":1793,"path":1794,"stem":1795},"Вказівники на вказівники","\u002Fcpp\u002Fpointers-to-pointers","02.cpp\u002F21.pointers-to-pointers",{"title":1797,"path":1798,"stem":1799},"Оператор доступу до членів через вказівник (->)","\u002Fcpp\u002Fmember-access-operator","02.cpp\u002F22.member-access-operator",{"title":1801,"path":1802,"stem":1803},"Цикл for-each (Range-based for)","\u002Fcpp\u002Fforeach-loop","02.cpp\u002F23.foreach-loop",{"title":1805,"path":1806,"stem":1807},"Вказівники на функції","\u002Fcpp\u002Ffunction-pointers","02.cpp\u002F24.function-pointers",{"title":1809,"path":1810,"stem":1811},"Лямбда-вирази","\u002Fcpp\u002Flambdas","02.cpp\u002F25.lambdas",{"title":1813,"path":1814,"stem":1815},"Лямбда-захоплення","\u002Fcpp\u002Flambda-captures","02.cpp\u002F26.lambda-captures",{"title":1817,"path":1818,"stem":1819},"Еліпсис","\u002Fcpp\u002Fellipsis","02.cpp\u002F27.ellipsis",{"title":1821,"path":1822,"stem":1823},"Безпечні альтернативи еліпсису","\u002Fcpp\u002F27a.ellipsis","02.cpp\u002F27a.ellipsis",{"title":1825,"path":1826,"stem":1827},"Аргументи командного рядка","\u002Fcpp\u002Fcommand-line-arguments","02.cpp\u002F28.command-line-arguments",{"title":1829,"path":1830,"stem":1831},"Перерахування (enum)","\u002Fcpp\u002Fenum","02.cpp\u002F29.enum",{"title":1833,"path":1834,"stem":1835},"Класи-перерахування (enum class)","\u002Fcpp\u002Fenum-class","02.cpp\u002F30.enum-class",{"title":1837,"path":1838,"stem":1839},"Псевдоніми типів (typedef і using)","\u002Fcpp\u002Ftype-aliases","02.cpp\u002F31.type-aliases",{"title":1841,"path":1842,"stem":1843},"Системи числення та двійкова арифметика","\u002Fcpp\u002Fnumber-systems","02.cpp\u002F32.number-systems",{"title":1845,"path":1846,"stem":1847},"Структури (struct): агрегування даних","\u002Fcpp\u002Fstruct","02.cpp\u002F33.struct",{"title":1849,"path":1850,"stem":1851},"Структури у функціях","\u002Fcpp\u002Fstruct-functions","02.cpp\u002F34.struct-functions",{"title":1853,"path":1854,"stem":1855},"Масиви структур і вкладені структури","\u002Fcpp\u002Fstruct-arrays","02.cpp\u002F35.struct-arrays",{"title":1857,"path":1858,"stem":1859},"Патерни struct та межі застосування","\u002Fcpp\u002Fstruct-patterns","02.cpp\u002F36.struct-patterns",{"title":1861,"path":1862,"stem":1863},"Символи та таблиця ASCII","\u002Fcpp\u002Fascii-characters","02.cpp\u002F37.ascii-characters",{"title":1865,"path":1866,"stem":1867},"Unicode та кодування UTF","\u002Fcpp\u002Funicode-utf","02.cpp\u002F38.unicode-utf",{"title":1869,"path":1870,"stem":1871},"C-style рядки","\u002Fcpp\u002Fc-strings","02.cpp\u002F39.c-strings",{"title":1873,"path":1874,"stem":1875},"Вступ до std::string","\u002Fcpp\u002Fstd-string-intro","02.cpp\u002F40.std-string-intro",{"title":1877,"path":1878,"stem":1879},"Довжина, ємність та доступ до символів std::string","\u002Fcpp\u002Fstd-string-capacity-access","02.cpp\u002F41.std-string-capacity-access",{"title":1881,"path":1882,"stem":1883},"Модифікація std::string: присвоювання, додавання, вставка, видалення та заміна","\u002Fcpp\u002Fstd-string-modification","02.cpp\u002F42.std-string-modification",{"title":1885,"path":1886,"stem":1887},"Пошук у std::string: find, npos та практичні патерни","\u002Fcpp\u002Fstd-string-search","02.cpp\u002F43.std-string-search",{"title":1889,"path":1890,"stem":1891},"std::string_view: невласницький погляд на рядок без копіювання","\u002Fcpp\u002Fstd-string-view","02.cpp\u002F44.std-string-view",{"title":1893,"path":1894,"stem":1895},"Об'єднання (union): один блок пам'яті, кілька інтерпретацій","\u002Fcpp\u002Funion","02.cpp\u002F45.union",{"title":1897,"path":1898,"stem":1899},"Організація коду: файли, препроцесор, простори імен","\u002Fcpp\u002Fmultifile-programs","02.cpp\u002F46.multifile-programs",{"title":1901,"path":1902,"stem":1903},"Робота з файлами: C-стиль (stdio.h)","\u002Fcpp\u002Fc-style-files","02.cpp\u002F47.c-style-files",{"title":1905,"path":1906,"stem":1907},"Робота з файлами: C++-стиль (fstream)","\u002Fcpp\u002Fcpp-style-files","02.cpp\u002F48.cpp-style-files",{"title":1909,"path":1910,"stem":1911},"Введення в ООП: від процедур до об'єктів","\u002Fcpp\u002Foop-intro","02.cpp\u002F49.oop-intro",{"title":1913,"path":1914,"stem":1915},"Класи, об'єкти та методи","\u002Fcpp\u002Fclasses-objects-methods","02.cpp\u002F50.classes-objects-methods",{"title":1917,"path":1918,"stem":1919},"Специфікатори доступу та інкапсуляція","\u002Fcpp\u002Faccess-specifiers-encapsulation","02.cpp\u002F51.access-specifiers-encapsulation",{"title":1921,"path":1922,"stem":1923},"Конструктори: гарантована ініціалізація об'єктів","\u002Fcpp\u002Fconstructors","02.cpp\u002F52.constructors",{"title":1925,"path":1926,"stem":1927},"Списки ініціалізації та делегуючі конструктори","\u002Fcpp\u002Finit-lists-delegating","02.cpp\u002F53.init-lists-delegating",{"title":1929,"path":1930,"stem":1931},"Деструктори та ідіома RAII","\u002Fcpp\u002Fdestructors-raii","02.cpp\u002F54.destructors-raii",{"title":1933,"path":1934,"stem":1935},"Прихований покажчик this","\u002Fcpp\u002Fthis-pointer","02.cpp\u002F55.this-pointer",{"title":1937,"path":1938,"stem":1939},"Розподіл класу на заголовковий файл та файл реалізації","\u002Fcpp\u002Fclass-header-source","02.cpp\u002F56.class-header-source",{"title":1941,"path":1942,"stem":1943},"Класи та const","\u002Fcpp\u002Fconst-classes","02.cpp\u002F57.const-classes",{"title":1945,"path":1946,"stem":1947},"Статичні члени класу","\u002Fcpp\u002Fstatic-members","02.cpp\u002F58.static-members",{"title":1949,"path":1950,"stem":1951},"Конструктор копіювання та запобігання копіюванню","\u002Fcpp\u002Fcopy-constructor","02.cpp\u002F59.copy-constructor",{"title":1953,"path":1954,"stem":1955},"Дружні функції та класи","\u002Fcpp\u002Ffriend-functions-classes","02.cpp\u002F60.friend-functions-classes",{"title":1957,"path":1958,"stem":1959},"Анонімні об'єкти та вкладені типи","\u002Fcpp\u002Fanonymous-objects-nested-types","02.cpp\u002F61.anonymous-objects-nested-types",{"title":1961,"path":1962,"stem":1963},"Вимірювання часу виконання: RAII-таймер","\u002Fcpp\u002Ftiming-raii-timer","02.cpp\u002F62.timing-raii-timer",{"title":1965,"path":1966,"stem":1967},"Перевантаження операторів: основи та арифметика","\u002Fcpp\u002Foperator-overloading-basics","02.cpp\u002F63.operator-overloading-basics",{"title":1969,"path":1970,"stem":1971},"Перевантаження операторів: методи класу та спеціальні оператори","\u002Fcpp\u002Foperator-overloading-methods","02.cpp\u002F64.operator-overloading-methods",{"title":1973,"path":1974,"stem":1975},"Приведення типів, explicit та delete","\u002Fcpp\u002Ftypecast-explicit-delete","02.cpp\u002F65.typecast-explicit-delete",{"title":1977,"path":1978,"stem":1979},"Глибоке копіювання та оператор присвоювання","\u002Fcpp\u002Fdeep-copy-assignment","02.cpp\u002F66.deep-copy-assignment",{"title":1981,"path":1982,"stem":1983},"Зв'язки між об'єктами: композиція та агрегація","\u002Fcpp\u002Fcomposition-aggregation","02.cpp\u002F67.composition-aggregation",{"title":1985,"path":1986,"stem":1987},"Асоціація та залежність між об","\u002Fcpp\u002Fassociation-dependency","02.cpp\u002F68.association-dependency",{"title":1989,"path":1990,"stem":1991},"Контейнерні класи та `std::initializer_list`","\u002Fcpp\u002Fcontainer-classes-initializer-list","02.cpp\u002F69.container-classes-initializer-list",{"title":1993,"path":1994,"stem":1995},"Вступ до наслідування: базові поняття та відношення «is-a»","\u002Fcpp\u002Finheritance-intro","02.cpp\u002F70.inheritance-intro",{"title":1997,"path":1998,"stem":1999},"Конструктори, деструктори та порядок ініціалізації в ієрархіях","\u002Fcpp\u002Finheritance-constructors-destructors","02.cpp\u002F71.inheritance-constructors-destructors",{"title":2001,"path":2002,"stem":2003},"Специфікатор `protected` та види наслідування","\u002Fcpp\u002Finheritance-access-specifiers","02.cpp\u002F72.inheritance-access-specifiers",{"title":2005,"path":2006,"stem":2007},"Перевизначення методів та приховування імен","\u002Fcpp\u002Fmethod-overriding-hiding","02.cpp\u002F73.method-overriding-hiding",{"title":2009,"path":2010,"stem":2011},"Множинне наслідування та проблема ромба","\u002Fcpp\u002Fmultiple-inheritance-diamond","02.cpp\u002F74.multiple-inheritance-diamond",{"title":2013,"path":2014,"stem":2015},"Вказівники на базовий клас та віртуальні функції","\u002Fcpp\u002Fvirtual-functions-polymorphism","02.cpp\u002F75.virtual-functions-polymorphism",{"title":2017,"path":2018,"stem":2019},"Специфікатори override, final та віртуальні деструктори","\u002Fcpp\u002Foverride-final-virtual-destructors","02.cpp\u002F76.override-final-virtual-destructors",{"title":2021,"path":2022,"stem":2023},"Внутрішні механізми поліморфізму: vtable, vptr та зв'язування","\u002Fcpp\u002Fvirtual-table-binding","02.cpp\u002F77.virtual-table-binding",{"title":2025,"path":2026,"stem":2027},"Абстрактні класи та чисті віртуальні функції","\u002Fcpp\u002Fabstract-classes-interfaces","02.cpp\u002F78.abstract-classes-interfaces",{"title":2029,"path":2030,"stem":2031},"Зрізка об'єктів, віртуальне наслідування та поліморфний вивід","\u002Fcpp\u002Fslicing-virtual-base-io","02.cpp\u002F79.slicing-virtual-base-io",{"title":2033,"path":2034,"stem":2035},"Динамічне приведення типів (`dynamic_cast`) та RTTI","\u002Fcpp\u002Fdynamic-cast-rtti","02.cpp\u002F80.dynamic-cast-rtti",{"title":2037,"path":2038,"stem":2039},"Шаблони функцій: узагальнене програмування","\u002Fcpp\u002Ffunction-templates","02.cpp\u002F81.function-templates",{"title":2041,"path":2042,"stem":2043},"Шаблони класів та NTTP-параметри","\u002Fcpp\u002Fclass-templates-nttp","02.cpp\u002F82.class-templates-nttp",{"title":2045,"path":2046,"stem":2047},"Повна (явна) спеціалізація шаблонів","\u002Fcpp\u002Ffull-template-specialization","02.cpp\u002F83.full-template-specialization",{"title":2049,"path":2050,"stem":2051},"Часткова спеціалізація шаблонів класів","\u002Fcpp\u002Fpartial-template-specialization","02.cpp\u002F84.partial-template-specialization",{"title":2053,"path":2054,"stem":2055},"Механізм винятків: try, catch, throw та розкручування стеку","\u002Fcpp\u002Fexceptions-basics","02.cpp\u002F85.exceptions-basics",{"title":2057,"path":2058,"stem":2059},"Ієрархія std::exception та власні класи винятків","\u002Fcpp\u002Fexception-hierarchy-custom","02.cpp\u002F86.exception-hierarchy-custom",{"title":2061,"path":2062,"stem":2063},"Повторне генерування винятків та функціональний try-блок","\u002Fcpp\u002Frethrow-function-try","02.cpp\u002F87.rethrow-function-try",{"title":2065,"path":2066,"stem":2067},"Безпека винятків, noexcept та деструктори","\u002Fcpp\u002Fsafety-noexcept","02.cpp\u002F88.safety-noexcept",{"title":2069,"path":2070,"stem":2071},"Стаття 89 — Власні структури даних: стек та черга","\u002Fcpp\u002Fcustom-stack-queue","02.cpp\u002F89.custom-stack-queue",{"title":2073,"path":2074,"stem":2075},"Стаття 90 — Власні структури даних: однозв'язаний список","\u002Fcpp\u002Flinked-list","02.cpp\u002F90.linked-list",{"title":2077,"path":2078,"stem":2079},"Стаття 91 — Власні структури даних: бінарне дерево пошуку","\u002Fcpp\u002Fbinary-search-tree","02.cpp\u002F91.binary-search-tree",{"title":2081,"path":2082,"stem":2083},"Стаття 92 — Власні структури даних: хеш-таблиця","\u002Fcpp\u002Fhash-table","02.cpp\u002F92.hash-table",{"title":2085,"icon":2086,"path":2087,"stem":2088,"children":2089,"page":59},"JavaScript","i-devicon-javascript","\u002Fjavascript","03.javascript",[2090,2116,2170,2192,2496,2534,2552],{"title":2091,"icon":2092,"path":2093,"stem":2094,"children":2095,"page":59},"Events","i-lucide-mouse-pointer-click","\u002Fjavascript\u002Fevents","03.javascript\u002F01.events",[2096,2100,2104,2108,2112],{"title":2097,"path":2098,"stem":2099},"Вступ до подій браузера","\u002Fjavascript\u002Fevents\u002Fintro","03.javascript\u002F01.events\u002F01.intro",{"title":2101,"path":2102,"stem":2103},"Бульбашковий механізм (Bubbling) та занурення (Capturing)","\u002Fjavascript\u002Fevents\u002Fbubbling-capturing","03.javascript\u002F01.events\u002F02.bubbling-capturing",{"title":2105,"path":2106,"stem":2107},"Делегування подій (Event Delegation)","\u002Fjavascript\u002Fevents\u002Fdelegate-events","03.javascript\u002F01.events\u002F03.delegate-events",{"title":2109,"path":2110,"stem":2111},"Типові дії браузера та preventDefault()","\u002Fjavascript\u002Fevents\u002Fprevent-default","03.javascript\u002F01.events\u002F04.prevent-default",{"title":2113,"path":2114,"stem":2115},"Запуск користувацьких подій (Custom Events)","\u002Fjavascript\u002Fevents\u002Fcustom-events","03.javascript\u002F01.events\u002F05.custom-events",{"title":2117,"icon":2118,"path":2119,"stem":2120,"children":2121,"page":59},"Network","i-lucide-globe","\u002Fjavascript\u002Fnetwork","03.javascript\u002F02.network",[2122,2126,2130,2134,2138,2142,2146,2150,2154,2158,2162,2166],{"title":2123,"path":2124,"stem":2125},"Fetch API - Сучасний підхід до HTTP-запитів","\u002Fjavascript\u002Fnetwork\u002F01-fetch-api","03.javascript\u002F02.network\u002F01-fetch-api",{"title":2127,"path":2128,"stem":2129},"FormData - Робота з формами та файлами","\u002Fjavascript\u002Fnetwork\u002F02-formdata","03.javascript\u002F02.network\u002F02-formdata",{"title":2131,"path":2132,"stem":2133},"Відстеження прогресу завантаження","\u002Fjavascript\u002Fnetwork\u002F03-download-progress","03.javascript\u002F02.network\u002F03-download-progress",{"title":2135,"path":2136,"stem":2137},"Переривання fetch-запитів","\u002Fjavascript\u002Fnetwork\u002F04-abort-requests","03.javascript\u002F02.network\u002F04-abort-requests",{"title":2139,"path":2140,"stem":2141},"CORS - Запити між різними джерелами","\u002Fjavascript\u002Fnetwork\u002F05-cors","03.javascript\u002F02.network\u002F05-cors",{"title":2143,"path":2144,"stem":2145},"Fetch API - Повний довідник опцій","\u002Fjavascript\u002Fnetwork\u002F06-fetch-options","03.javascript\u002F02.network\u002F06-fetch-options",{"title":2147,"path":2148,"stem":2149},"URL Objects - Робота з посиланнями","\u002Fjavascript\u002Fnetwork\u002F07-url-objects","03.javascript\u002F02.network\u002F07-url-objects",{"title":2151,"path":2152,"stem":2153},"XMLHttpRequest - AJAX та низькорівневі запити","\u002Fjavascript\u002Fnetwork\u002F08-xmlhttprequest","03.javascript\u002F02.network\u002F08-xmlhttprequest",{"title":2155,"path":2156,"stem":2157},"Відновлюване завантаження файлів","\u002Fjavascript\u002Fnetwork\u002F09-resumable-upload","03.javascript\u002F02.network\u002F09-resumable-upload",{"title":2159,"path":2160,"stem":2161},"Cookies, document.cookie та світ після \"Cookiepocalypse\"","\u002Fjavascript\u002Fnetwork\u002F10-cookies","03.javascript\u002F02.network\u002F10-cookies",{"title":2163,"path":2164,"stem":2165},"js-cookie: Керування Cookies без Болю","\u002Fjavascript\u002Fnetwork\u002F11-js-cookie","03.javascript\u002F02.network\u002F11-js-cookie",{"title":2167,"path":2168,"stem":2169},"Axios: Потужний HTTP-клієнт для JavaScript","\u002Fjavascript\u002Fnetwork\u002F12-axios","03.javascript\u002F02.network\u002F12-axios",{"title":2171,"icon":2172,"path":2173,"stem":2174,"children":2175,"page":59},"Bom","i-lucide-monitor","\u002Fjavascript\u002Fbom","03.javascript\u002F03.bom",[2176,2180,2184,2188],{"title":2177,"path":2178,"stem":2179},"LocalStorage, SessionStorage та patterns збереження даних","\u002Fjavascript\u002Fbom\u002F01-localstorage","03.javascript\u002F03.bom\u002F01-localstorage",{"title":2181,"path":2182,"stem":2183},"Location Object - Керування адресою сторінки","\u002Fjavascript\u002Fbom\u002F02-location-object","03.javascript\u002F03.bom\u002F02-location-object",{"title":2185,"path":2186,"stem":2187},"History API - Керування історією браузера","\u002Fjavascript\u002Fbom\u002F03-history-api","03.javascript\u002F03.bom\u002F03-history-api",{"title":2189,"path":2190,"stem":2191},"Navigator Object - Ідентифікація та Можливості Пристрою","\u002Fjavascript\u002Fbom\u002F04-navigator-object","03.javascript\u002F03.bom\u002F04-navigator-object",{"title":2193,"icon":2194,"path":2195,"stem":2196,"children":2197},"React","i-devicon-react","\u002Fjavascript\u002Freact","03.javascript\u002F04.react\u002Findex",[2198,2199,2203,2207,2211,2215,2278,2313,2465],{"title":2193,"path":2195,"stem":2196},{"title":2200,"path":2201,"stem":2202},"Робота з Формами в React","\u002Fjavascript\u002Freact\u002Freact-forms","03.javascript\u002F04.react\u002F01.react-forms",{"title":2204,"path":2205,"stem":2206},"React Hook Form: Професійна Робота з Формами","\u002Fjavascript\u002Freact\u002Freact-hook-form","03.javascript\u002F04.react\u002F02.react-hook-form",{"title":2208,"path":2209,"stem":2210},"React Hook Form: Глибоке Розуміння Архітектури та Оптимізації","\u002Fjavascript\u002Freact\u002Freact-hook-form-new","03.javascript\u002F04.react\u002F02.react-hook-form-new",{"title":2212,"path":2213,"stem":2214},"Axios та React: Професійна Архітектура Запитів","\u002Fjavascript\u002Freact\u002Fdata-fetching-axios","03.javascript\u002F04.react\u002F03.data-fetching-axios",{"title":2216,"icon":132,"path":2217,"stem":2218,"children":2219},"Tanstack Query","\u002Fjavascript\u002Freact\u002Ftanstack-query","03.javascript\u002F04.react\u002F04.tanstack-query\u002Findex",[2220,2222,2226,2230,2234,2238,2242,2246,2250,2254,2258,2262,2266,2270,2274],{"title":2221,"path":2217,"stem":2218},"TanStack Query: Майстерність Керування Станом Сервера",{"title":2223,"path":2224,"stem":2225},"Парадигма Server State: Чому useEffect недостатньо","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-state-paradigm","03.javascript\u002F04.react\u002F04.tanstack-query\u002F01.server-state-paradigm",{"title":2227,"path":2228,"stem":2229},"Встановлення та Налаштування: Фундамент","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Finstallation-and-devtools","03.javascript\u002F04.react\u002F04.tanstack-query\u002F02.installation-and-devtools",{"title":2231,"path":2232,"stem":2233},"Основи Запитів та Магія Ключів","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fquery-basics-and-keys","03.javascript\u002F04.react\u002F04.tanstack-query\u002F03.query-basics-and-keys",{"title":2235,"path":2236,"stem":2237},"Синхронізація Даних: Життєвий Цикл Запиту","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fdata-synchronization","03.javascript\u002F04.react\u002F04.tanstack-query\u002F04.data-synchronization",{"title":2239,"path":2240,"stem":2241},"Мутації та Інвалідація: Зміна Даних","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fmutations-and-invalidation","03.javascript\u002F04.react\u002F04.tanstack-query\u002F05.mutations-and-invalidation",{"title":2243,"path":2244,"stem":2245},"Оптимістичні Оновлення: Швидше за Світло","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Foptimistic-updates","03.javascript\u002F04.react\u002F04.tanstack-query\u002F06.optimistic-updates",{"title":2247,"path":2248,"stem":2249},"Пагінація та Infinite Scroll","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fpagination-and-load-more","03.javascript\u002F04.react\u002F04.tanstack-query\u002F07.pagination-and-load-more",{"title":2251,"path":2252,"stem":2253},"Просунуті Патерни та Оптимізація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F04.tanstack-query\u002F08.advanced-patterns",{"title":2255,"path":2256,"stem":2257},"Архітектура та Best Practices","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Farchitecture-and-best-practices","03.javascript\u002F04.react\u002F04.tanstack-query\u002F09.architecture-and-best-practices",{"title":2259,"path":2260,"stem":2261},"Server-Side Rendering (SSR) та Гідратація","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fserver-side-rendering","03.javascript\u002F04.react\u002F04.tanstack-query\u002F10.server-side-rendering",{"title":2263,"path":2264,"stem":2265},"Стратегії Тестування","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Ftesting-strategies","03.javascript\u002F04.react\u002F04.tanstack-query\u002F11.testing-strategies",{"title":2267,"path":2268,"stem":2269},"Аутентифікація та Обробка Помилок","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fauthentication-and-errors","03.javascript\u002F04.react\u002F04.tanstack-query\u002F12.authentication-and-errors",{"title":2271,"path":2272,"stem":2273},"React Suspense та Майбутнє","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Freact-suspense","03.javascript\u002F04.react\u002F04.tanstack-query\u002F13.react-suspense",{"title":2275,"path":2276,"stem":2277},"Глибоке Занурення в Продуктивність","\u002Fjavascript\u002Freact\u002Ftanstack-query\u002Fperformance-deep-dive","03.javascript\u002F04.react\u002F04.tanstack-query\u002F14.performance-deep-dive",{"title":2279,"icon":2194,"path":2280,"stem":2281,"children":2282},"React Router","\u002Fjavascript\u002Freact\u002Freact-router","03.javascript\u002F04.react\u002F05.react-router\u002Findex",[2283,2285,2289,2293,2297,2301,2305,2309],{"title":2284,"path":2280,"stem":2281},"React Router: Навігаційна система сучасного вебу",{"title":2286,"path":2287,"stem":2288},"Налаштування та Базовий Роутинг","\u002Fjavascript\u002Freact\u002Freact-router\u002Fsetup-and-basic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F01.setup-and-basic-routing",{"title":2290,"path":2291,"stem":2292},"Динамічна Навігація","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnavigation-and-links","03.javascript\u002F04.react\u002F05.react-router\u002F02.navigation-and-links",{"title":2294,"path":2295,"stem":2296},"Вкладені Маршрути та Макети","\u002Fjavascript\u002Freact\u002Freact-router\u002Fnested-routes-and-layouts","03.javascript\u002F04.react\u002F05.react-router\u002F03.nested-routes-and-layouts",{"title":2298,"path":2299,"stem":2300},"Динамічні Маршрути та Параметри","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdynamic-routing","03.javascript\u002F04.react\u002F05.react-router\u002F04.dynamic-routing",{"title":2302,"path":2303,"stem":2304},"Data APIs: Loaders та Actions","\u002Fjavascript\u002Freact\u002Freact-router\u002Fdata-loading","03.javascript\u002F04.react\u002F05.react-router\u002F05.data-loading",{"title":2306,"path":2307,"stem":2308},"Просунуті Патерни","\u002Fjavascript\u002Freact\u002Freact-router\u002Fadvanced-patterns","03.javascript\u002F04.react\u002F05.react-router\u002F06.advanced-patterns",{"title":2310,"path":2311,"stem":2312},"Legacy Routing: Компонентний підхід","\u002Fjavascript\u002Freact\u002Freact-router\u002Flegacy-routing","03.javascript\u002F04.react\u002F05.react-router\u002F07.legacy-routing",{"title":2314,"icon":132,"path":2315,"stem":2316,"children":2317},"Redux","\u002Fjavascript\u002Freact\u002Fredux","03.javascript\u002F04.react\u002F06.redux\u002Findex",[2318,2320,2336,2365,2374,2395,2411,2440],{"title":2319,"path":2315,"stem":2316},"Redux: Еволюція управління станом",{"title":14,"icon":15,"path":2321,"stem":2322,"children":2323,"page":59},"\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals",[2324,2328,2332],{"title":2325,"path":2326,"stem":2327},"Вступ до State Management","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fintro-state-management","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F01.intro-state-management",{"title":2329,"path":2330,"stem":2331},"Філософія Redux та Три Принципи","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fredux-philosophy","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F02.redux-philosophy",{"title":2333,"path":2334,"stem":2335},"Чисті функції та Іммутабельність","\u002Fjavascript\u002Freact\u002Fredux\u002Ffundamentals\u002Fpure-functions-immutability","03.javascript\u002F04.react\u002F06.redux\u002F01.fundamentals\u002F03.pure-functions-immutability",{"title":2337,"icon":132,"path":2338,"stem":2339,"children":2340,"page":59},"Classic Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux",[2341,2345,2349,2353,2357,2361],{"title":2342,"path":2343,"stem":2344},"Створення Store (Classic Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fstore-setup","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F01.store-setup",{"title":2346,"path":2347,"stem":2348},"Actions, Constants та Action Creators","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Factions-constants","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F02.actions-constants",{"title":2350,"path":2351,"stem":2352},"Логіка Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freducers","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F03.reducers",{"title":2354,"path":2355,"stem":2356},"Комбінування Reducers (Root Reducer)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fdata-flow","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F04.data-flow",{"title":2358,"path":2359,"stem":2360},"Підключення до React (React-Redux)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Freact-redux-connection","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F05.react-redux-connection",{"title":2362,"path":2363,"stem":2364},"Middleware та Асинхронність (Redux Thunk)","\u002Fjavascript\u002Freact\u002Fredux\u002Fclassic-redux\u002Fmiddleware-thunk","03.javascript\u002F04.react\u002F06.redux\u002F02.classic-redux\u002F06.middleware-thunk",{"title":2366,"icon":132,"path":2367,"stem":2368,"children":2369,"page":59},"Transition To Rtk","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk",[2370],{"title":2371,"path":2372,"stem":2373},"Проблеми класичного Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftransition-to-rtk\u002Fproblems-with-classic","03.javascript\u002F04.react\u002F06.redux\u002F03.transition-to-rtk\u002F01.problems-with-classic",{"title":2375,"icon":132,"path":2376,"stem":2377,"children":2378,"page":59},"Redux Toolkit","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit",[2379,2383,2387,2391],{"title":2380,"path":2381,"stem":2382},"Налаштування Store з configureStore","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fconfigure-store","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F01.configure-store",{"title":2384,"path":2385,"stem":2386},"createSlice: Революція в Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fcreate-slice","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F02.create-slice",{"title":2388,"path":2389,"stem":2390},"Асинхронність з createAsyncThunk","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fasync-thunks","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F03.async-thunks",{"title":2392,"path":2393,"stem":2394},"04. Entity Adapter: Керування нормалізованим станом","\u002Fjavascript\u002Freact\u002Fredux\u002Fredux-toolkit\u002Fentity-adapter","03.javascript\u002F04.react\u002F06.redux\u002F04.redux-toolkit\u002F04.entity-adapter",{"title":2396,"icon":92,"path":2397,"stem":2398,"children":2399,"page":59},"Advanced","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced",[2400,2404,2408],{"title":2401,"path":2402,"stem":2403},"Мемоізація та Селектори: Повний Гайд по Reselect","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Fselectors-reselect","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F01.selectors-reselect",{"title":2405,"path":2406,"stem":2407},"RTK Query: Архітектура Серверного Кешу","\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Frtk-query-intro","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F02.rtk-query-intro",{"title":2255,"path":2409,"stem":2410},"\u002Fjavascript\u002Freact\u002Fredux\u002Fadvanced\u002Farchitecture-best-practices","03.javascript\u002F04.react\u002F06.redux\u002F05.advanced\u002F03.architecture-best-practices",{"title":2412,"icon":132,"path":2413,"stem":2414,"children":2415,"page":59},"Project Kanban","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban",[2416,2420,2424,2428,2432,2436],{"title":2417,"path":2418,"stem":2419},"Проєкт: Kanban Board (Trello Clone)","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fproject-overview","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F01.project-overview",{"title":2421,"path":2422,"stem":2423},"Налаштування та Типізація","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fsetup-and-types","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F02.setup-and-types",{"title":2425,"path":2426,"stem":2427},"Board Slice: Серце Дошки","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fboard-slice","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F03.board-slice",{"title":2429,"path":2430,"stem":2431},"Логіка Drag & Drop","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Fdrag-and-drop-logic","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F04.drag-and-drop-logic",{"title":2433,"path":2434,"stem":2435},"Інтеграція з RTK Query","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Frtk-query-integration","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F05.rtk-query-integration",{"title":2437,"path":2438,"stem":2439},"Optimistic Updates","\u002Fjavascript\u002Freact\u002Fredux\u002Fproject-kanban\u002Foptimistic-updates","03.javascript\u002F04.react\u002F06.redux\u002F06.project-kanban\u002F06.optimistic-updates",{"title":2441,"icon":132,"path":2442,"stem":2443,"children":2444,"page":59},"Testing","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting","03.javascript\u002F04.react\u002F06.redux\u002F07.testing",[2445,2449,2453,2457,2461],{"title":2446,"path":2447,"stem":2448},"Тестування Redux","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Fintro-testing","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F01.intro-testing",{"title":2450,"path":2451,"stem":2452},"Тестування Reducers","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-reducers","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F02.testing-reducers",{"title":2454,"path":2455,"stem":2456},"Тестування Селекторів","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-selectors","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F03.testing-selectors",{"title":2458,"path":2459,"stem":2460},"Тестування Компонентів (Integration)","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-components","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F04.testing-components",{"title":2462,"path":2463,"stem":2464},"Тестування Async Thunks","\u002Fjavascript\u002Freact\u002Fredux\u002Ftesting\u002Ftesting-thunks","03.javascript\u002F04.react\u002F06.redux\u002F07.testing\u002F05.testing-thunks",{"title":2466,"icon":132,"path":2467,"stem":2468,"children":2469},"Ui Libraries","\u002Fjavascript\u002Freact\u002Fui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002Findex",[2470,2472,2476,2480,2484,2488,2492],{"title":2471,"path":2467,"stem":2468},"UI Бібліотеки в React",{"title":2473,"path":2474,"stem":2475},"Вступ до UI Бібліотек: Навіщо Винаходити Велосипед Двічі?","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fintroduction-to-ui-libraries","03.javascript\u002F04.react\u002F07.ui-libraries\u002F01.introduction-to-ui-libraries",{"title":2477,"path":2478,"stem":2479},"Філософія shadcn\u002Fui: \"Not a Component Library\"","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-philosophy","03.javascript\u002F04.react\u002F07.ui-libraries\u002F02.shadcn-philosophy",{"title":2481,"path":2482,"stem":2483},"Установка та Налаштування shadcn\u002Fui","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-installation","03.javascript\u002F04.react\u002F07.ui-libraries\u002F03.shadcn-installation",{"title":2485,"path":2486,"stem":2487},"Базові Компоненти shadcn\u002Fui: Фундамент Інтерфейсу","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-basics","03.javascript\u002F04.react\u002F07.ui-libraries\u002F04.shadcn-components-basics",{"title":2489,"path":2490,"stem":2491},"Компоненти Форм: Побудова Інтерактивних Form","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-forms","03.javascript\u002F04.react\u002F07.ui-libraries\u002F05.shadcn-components-forms",{"title":2493,"path":2494,"stem":2495},"Складні Компоненти: Dialog, Dropdown, Table та Command","\u002Fjavascript\u002Freact\u002Fui-libraries\u002Fshadcn-components-advanced","03.javascript\u002F04.react\u002F07.ui-libraries\u002F06.shadcn-components-advanced",{"title":2497,"icon":2498,"path":2499,"stem":2500,"children":2501,"page":59},"TypeScript","i-devicon-typescript","\u002Fjavascript\u002Ftypescript","03.javascript\u002F05.typescript",[2502,2506,2510,2514,2518,2522,2526,2530],{"title":2503,"path":2504,"stem":2505},"TypeScript: Броня для вашого коду","\u002Fjavascript\u002Ftypescript\u002Fintro-and-basic-types","03.javascript\u002F05.typescript\u002F01.intro-and-basic-types",{"title":2507,"path":2508,"stem":2509},"Майстерність Моделювання Даних: Інтерфейси та Просунуті Типи","\u002Fjavascript\u002Ftypescript\u002Finterfaces-and-advanced-types","03.javascript\u002F05.typescript\u002F02.interfaces-and-advanced-types",{"title":2511,"path":2512,"stem":2513},"Алхімія Типів: Generics та Utility Types","\u002Fjavascript\u002Ftypescript\u002Fgenerics-and-utilities","03.javascript\u002F05.typescript\u002F03.generics-and-utilities",{"title":2515,"path":2516,"stem":2517},"Архітектура та Шаблони: Класи в TypeScript","\u002Fjavascript\u002Ftypescript\u002Fclasses-and-oop","03.javascript\u002F05.typescript\u002F04.classes-and-oop",{"title":2519,"path":2520,"stem":2521},"Продакшн та Екосистема: Advanced Config & Workflow","\u002Fjavascript\u002Ftypescript\u002Fadvanced-patterns-and-config","03.javascript\u002F05.typescript\u002F05.advanced-patterns-and-config",{"title":2523,"path":2524,"stem":2525},"TypeScript у світі React","\u002Fjavascript\u002Ftypescript\u002Freact-basics","03.javascript\u002F05.typescript\u002F06.react-basics",{"title":2527,"path":2528,"stem":2529},"React + TypeScript: Продвинуті патерни","\u002Fjavascript\u002Ftypescript\u002Freact-advanced","03.javascript\u002F05.typescript\u002F07.react-advanced",{"title":2531,"path":2532,"stem":2533},"React + TypeScript: Екосистема та бібліотеки","\u002Fjavascript\u002Ftypescript\u002Freact-ecosystem","03.javascript\u002F05.typescript\u002F08.react-ecosystem",{"title":2535,"icon":2536,"path":2537,"stem":2538,"children":2539,"page":59},"Асинхронність","i-lucide-refresh-cw","\u002Fjavascript\u002Fasync-programming","03.javascript\u002F06.async-programming",[2540,2544,2548],{"title":2541,"path":2542,"stem":2543},"Event Loop: серце асинхронності в JavaScript","\u002Fjavascript\u002Fasync-programming\u002Fevent-loop-fundamentals","03.javascript\u002F06.async-programming\u002F01.event-loop-fundamentals",{"title":2545,"path":2546,"stem":2547},"Task Queue та Microtask Queue: пріоритети виконання","\u002Fjavascript\u002Fasync-programming\u002Ftask-queues","03.javascript\u002F06.async-programming\u002F02.task-queues",{"title":2549,"path":2550,"stem":2551},"Асинхронні патерни: від Callbacks до Async\u002FAwait","\u002Fjavascript\u002Fasync-programming\u002Fasync-patterns","03.javascript\u002F06.async-programming\u002F03.async-patterns",{"title":2553,"path":2554,"stem":2555},"Atomic Design","\u002Fjavascript\u002Fatomic-design","03.javascript\u002F2.atomic-design",{"title":2557,"icon":2558,"path":2559,"stem":2560,"children":2561,"page":59},"Java","i-devicon-java","\u002Fjava","04.java",[2562,2565,2568,2572,2576,2580,2584],{"title":162,"path":2563,"stem":2564},"\u002Fjava\u002Fdata-mapper-part1","04.java\u002F01.data-mapper-part1",{"title":166,"path":2566,"stem":2567},"\u002Fjava\u002Fdata-mapper-part2","04.java\u002F02.data-mapper-part2",{"title":2569,"path":2570,"stem":2571},"Service Layer: Організація бізнес-логіки","\u002Fjava\u002Fservice-layer","04.java\u002F03.service-layer",{"title":2573,"path":2574,"stem":2575},"Rich Domain Model та State Pattern","\u002Fjava\u002Frich-domain-model","04.java\u002F04.rich-domain-model",{"title":2577,"path":2578,"stem":2579},"Патерни для складної бізнес-логіки","\u002Fjava\u002Fbusiness-logic-patterns","04.java\u002F05.business-logic-patterns",{"title":2581,"path":2582,"stem":2583},"Обробка помилок та валідація","\u002Fjava\u002Ferror-handling-validation","04.java\u002F06.error-handling-validation",{"title":2585,"path":2586,"stem":2587,"children":2588,"page":59},"Проектування баз даних","\u002Fjava\u002Fpr2","04.java\u002Fpr2",[2589,2593,2597,2601,2605,2609,2613,2617,2621,2625,2629,2633,2637,2641,2645,2649,2653,2657,2661,2665,2669,2673,2677,2681,2685,2689,2693,2697,2701,2705,2709,2713,2717,2721,2725,2729,2733],{"title":2590,"path":2591,"stem":2592},"Концептуальне моделювання: Мистецтво розуміння предметної області","\u002Fjava\u002Fpr2\u002Fconceptual-modeling","04.java\u002Fpr2\u002F01.conceptual-modeling",{"title":2594,"path":2595,"stem":2596},"Логічне моделювання: Від бізнес-ідей до структур даних","\u002Fjava\u002Fpr2\u002Flogical-modeling","04.java\u002Fpr2\u002F02.logical-modeling",{"title":2598,"path":2599,"stem":2600},"Нормалізація: Гігієна даних та боротьба з аномаліями","\u002Fjava\u002Fpr2\u002Fnormalization","04.java\u002Fpr2\u002F03.normalization",{"title":2602,"path":2603,"stem":2604},"Фізична схема: Від абстракції до DDL","\u002Fjava\u002Fpr2\u002Fphysical-schema","04.java\u002Fpr2\u002F04.physical-schema",{"title":2606,"path":2607,"stem":2608},"Архітектурна класифікація таблиць","\u002Fjava\u002Fpr2\u002Ftable-classification","04.java\u002Fpr2\u002F05.table-classification",{"title":2610,"path":2611,"stem":2612},"Database Migrations: Версіонування схеми з Flyway","\u002Fjava\u002Fpr2\u002Fdatabase-migrations","04.java\u002Fpr2\u002F06.database-migrations",{"title":2614,"path":2615,"stem":2616},"А що, якби це була не реляційна БД?","\u002Fjava\u002Fpr2\u002Fbeyond-relational","04.java\u002Fpr2\u002F07.beyond-relational",{"title":2618,"path":2619,"stem":2620},"Object-Relational Impedance Mismatch: Два світи, що не хочуть дружити","\u002Fjava\u002Fpr2\u002Fimpedance-mismatch","04.java\u002Fpr2\u002F09.impedance-mismatch",{"title":2622,"path":2623,"stem":2624},"JDBC: Перший контакт із базою даних","\u002Fjava\u002Fpr2\u002Fjdbc-fundamentals","04.java\u002Fpr2\u002F10.jdbc-fundamentals",{"title":2626,"path":2627,"stem":2628},"Якість коду: Spotless, SpotBugs та SonarQube","\u002Fjava\u002Fpr2\u002F10a.code-quality","04.java\u002Fpr2\u002F10a.code-quality",{"title":2630,"path":2631,"stem":2632},"Connection Pool: Патерн Object Pool для JDBC-з'єднань","\u002Fjava\u002Fpr2\u002Fconnection-pool","04.java\u002Fpr2\u002F11.connection-pool",{"title":2634,"path":2635,"stem":2636},"Row Data Gateway: Об'єкт як обгортка рядка таблиці","\u002Fjava\u002Fpr2\u002Frow-data-gateway","04.java\u002Fpr2\u002F12.row-data-gateway",{"title":2638,"path":2639,"stem":2640},"Table Data Gateway: Фасад таблиці як архітектурний відступ","\u002Fjava\u002Fpr2\u002Ftable-data-gateway","04.java\u002Fpr2\u002F13.table-data-gateway",{"title":2642,"path":2643,"stem":2644},"Repository + Data Mapper: Правильна шарова архітектура з JDBC","\u002Fjava\u002Fpr2\u002Frepository-data-mapper","04.java\u002Fpr2\u002F14.repository-data-mapper",{"title":2646,"path":2647,"stem":2648},"Identity Map: Кешування сутностей у рамках сесії","\u002Fjava\u002Fpr2\u002Fidentity-map","04.java\u002Fpr2\u002F15.identity-map",{"title":2650,"path":2651,"stem":2652},"Unit of Work: Відстеження змін і координація JDBC-транзакцій","\u002Fjava\u002Fpr2\u002Funit-of-work","04.java\u002Fpr2\u002F16.unit-of-work",{"title":2654,"path":2655,"stem":2656},"Strategy: Замінювані SQL-стратегії для підтримки різних СУБД","\u002Fjava\u002Fpr2\u002Fstrategy-sql","04.java\u002Fpr2\u002F17.strategy-sql",{"title":2658,"path":2659,"stem":2660},"Proxy: Lazy Loading для One-To-Many колекцій","\u002Fjava\u002Fpr2\u002Fproxy-lazy-loading","04.java\u002Fpr2\u002F18.proxy-lazy-loading",{"title":2662,"path":2663,"stem":2664},"Generic Repository через Java Reflection: анотації та динамічний SQL","\u002Fjava\u002Fpr2\u002Fgeneric-repository-reflection","04.java\u002Fpr2\u002F19.generic-repository-reflection",{"title":2666,"path":2667,"stem":2668},"Specification Pattern: Композиція бізнес-правил для складних запитів","\u002Fjava\u002Fpr2\u002Fspecification-pattern","04.java\u002Fpr2\u002F20.specification-pattern",{"title":2670,"path":2671,"stem":2672},"Розширені можливості Specification Pattern: підзапити, агрегації та гібридний підхід","\u002Fjava\u002Fpr2\u002F20a.advanced-specifications","04.java\u002Fpr2\u002F20a.advanced-specifications",{"title":2674,"path":2675,"stem":2676},"Асинхронність у JDBC: Від блокуючих викликів до CompletableFuture","\u002Fjava\u002Fpr2\u002Fasynchronous-jdbc","04.java\u002Fpr2\u002F21.asynchronous-jdbc",{"title":2678,"path":2679,"stem":2680},"Інтеграційне тестування JDBC-репозиторіїв: Embedded H2 та патерн AAA","\u002Fjava\u002Fpr2\u002Fintegration-testing-h2","04.java\u002Fpr2\u002F22.integration-testing-h2",{"title":2682,"path":2683,"stem":2684},"Testcontainers: Тестування з реальною PostgreSQL у Docker-контейнерах","\u002Fjava\u002Fpr2\u002Fintegration-testing-testcontainers","04.java\u002Fpr2\u002F23.integration-testing-testcontainers",{"title":2686,"path":2687,"stem":2688},"Google Guice: Впровадження залежностей у JavaFX-проєкті","\u002Fjava\u002Fpr2\u002Fdependency-injection-guice","04.java\u002Fpr2\u002F24.dependency-injection-guice",{"title":2690,"path":2691,"stem":2692},"JavaFX: Основи побудови графічних інтерфейсів","\u002Fjava\u002Fpr2\u002Fjavafx-fundamentals","04.java\u002Fpr2\u002F25.javafx-fundamentals",{"title":2694,"path":2695,"stem":2696},"Properties та Bindings: Реактивність у JavaFX","\u002Fjava\u002Fpr2\u002Fjavafx-properties-bindings","04.java\u002Fpr2\u002F26.javafx-properties-bindings",{"title":2698,"path":2699,"stem":2700},"MVC vs MVP vs MVVM: Еволюція архітектурних патернів UI","\u002Fjava\u002Fpr2\u002Fui-architecture-patterns","04.java\u002Fpr2\u002F27.ui-architecture-patterns",{"title":2702,"path":2703,"stem":2704},"MVVM на практиці: Побудова ViewModel","\u002Fjava\u002Fpr2\u002Fmvvm-viewmodel-implementation","04.java\u002Fpr2\u002F28.mvvm-viewmodel-implementation",{"title":2706,"path":2707,"stem":2708},"View та Controller: Зв'язування з ViewModel через FXML","\u002Fjava\u002Fpr2\u002Fmvvm-view-controller","04.java\u002Fpr2\u002F29.mvvm-view-controller",{"title":2710,"path":2711,"stem":2712},"Інтеграція MVVM з Guice: Автоматична ін'єкція залежностей","\u002Fjava\u002Fpr2\u002Fmvvm-guice-integration","04.java\u002Fpr2\u002F30.mvvm-guice-integration",{"title":2714,"path":2715,"stem":2716},"Валідація та обробка помилок у MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-validation-error-handling","04.java\u002Fpr2\u002F31.mvvm-validation-error-handling",{"title":2718,"path":2719,"stem":2720},"Навігація та управління екранами у JavaFX MVVM","\u002Fjava\u002Fpr2\u002Fmvvm-navigation-screen-management","04.java\u002Fpr2\u002F32.mvvm-navigation-screen-management",{"title":2722,"path":2723,"stem":2724},"Тестування JavaFX MVVM-додатків","\u002Fjava\u002Fpr2\u002Fmvvm-testing","04.java\u002Fpr2\u002F33.mvvm-testing",{"title":2726,"path":2727,"stem":2728},"Стилізація та теми у JavaFX: CSS та User Experience","\u002Fjava\u002Fpr2\u002Fjavafx-styling-themes","04.java\u002Fpr2\u002F34.javafx-styling-themes",{"title":2730,"path":2731,"stem":2732},"AtlantaFX: Сучасні теми для JavaFX додатків","\u002Fjava\u002Fpr2\u002Fatlantafx-modern-themes","04.java\u002Fpr2\u002F35.atlantafx-modern-themes",{"title":2734,"path":2735,"stem":2736},"Пакування та розповсюдження JavaFX-додатків","\u002Fjava\u002Fpr2\u002Fjar-packaging-distribution","04.java\u002Fpr2\u002F36.jar-packaging-distribution",{"title":2738,"icon":2739,"path":2740,"stem":2741,"children":2742,"page":59},"Python","i-devicon-python","\u002Fpython","05.python",[2743,2747,2750,2754,2758,2762,2766,2770,2774,2778,2782,2786,2790,2794,2798,2859],{"title":2744,"path":2745,"stem":2746},"Модулі, Пакети та Віртуальні Середовища","\u002Fpython\u002Fmodules-packages-venv","05.python\u002F00.modules-packages-venv",{"title":71,"path":2748,"stem":2749},"\u002Fpython\u002Fclasses-objects","05.python\u002F01.classes-objects",{"title":2751,"path":2752,"stem":2753},"Інкапсуляція, Керування Доступом та Властивості","\u002Fpython\u002Fencapsulation","05.python\u002F02.encapsulation",{"title":2755,"path":2756,"stem":2757},"Наслідування, MRO та суперсила super()","\u002Fpython\u002Finheritance-mro","05.python\u002F03.inheritance-mro",{"title":2759,"path":2760,"stem":2761},"Абстракція — ABC проти Статичних Протоколів (PEP 544)","\u002Fpython\u002Fabstraction-protocols","05.python\u002F04.abstraction-protocols",{"title":2763,"path":2764,"stem":2765},"Магічні методи (Dunder) та Емуляція протоколів","\u002Fpython\u002Fdunder-methods","05.python\u002F05.dunder-methods",{"title":2767,"path":2768,"stem":2769},"Декоратори та Керування життєвим циклом методів","\u002Fpython\u002Fdecorators-static-class","05.python\u002F06.decorators-static-class",{"title":2771,"path":2772,"stem":2773},"Дескриптори — Магія доступу до атрибутів","\u002Fpython\u002Fdescriptors","05.python\u002F07.descriptors",{"title":2775,"path":2776,"stem":2777},"Метакласи — Динамічне створення класів під капотом CPython","\u002Fpython\u002Fmetaclasses","05.python\u002F08.metaclasses",{"title":2779,"path":2780,"stem":2781},"Dataclasses, NamedTuple та сучасні контейнери Python","\u002Fpython\u002Fmodern-containers","05.python\u002F09.modern-containers",{"title":2783,"path":2784,"stem":2785},"GIL та модель конкурентності CPython — фундамент перед потоками і процесами","\u002Fpython\u002Fgil-concurrency-intro","05.python\u002F11.gil-concurrency-intro",{"title":2787,"path":2788,"stem":2789},"Threading — конкурентність для I\u002FO-bound задач","\u002Fpython\u002Fthreading","05.python\u002F12.threading",{"title":2791,"path":2792,"stem":2793},"Multiprocessing — справжній паралелізм для CPU-bound задач","\u002Fpython\u002Fmultiprocessing","05.python\u002F13.multiprocessing",{"title":2795,"path":2796,"stem":2797},"asyncio — кооперативна конкурентність та event loop","\u002Fpython\u002Fasyncio","05.python\u002F14.asyncio",{"title":2799,"icon":92,"path":2800,"stem":2801,"children":2802,"page":59},"FastAPI","\u002Fpython\u002Ffastapi","05.python\u002Ffastapi",[2803,2807,2811,2815,2819,2823,2827,2831,2835,2839,2843,2847,2851,2855],{"title":2804,"path":2805,"stem":2806},"Глибокий Typing та Pydantic v2 — від анотацій до валідації","\u002Fpython\u002Ffastapi\u002Ftyping-pydantic","05.python\u002Ffastapi\u002F15.typing-pydantic",{"title":2808,"path":2809,"stem":2810},"WSGI, ASGI та Python Web-екосистема","\u002Fpython\u002Ffastapi\u002Fwsgi-asgi-ecosystem","05.python\u002Ffastapi\u002F16.wsgi-asgi-ecosystem",{"title":2812,"path":2813,"stem":2814},"FastAPI: Перший додаток, Uvicorn та OpenAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-intro","05.python\u002Ffastapi\u002F17.fastapi-intro",{"title":2816,"path":2817,"stem":2818},"Маршрутизація, параметри запитів та APIRouter","\u002Fpython\u002Ffastapi\u002Ffastapi-routing-params","05.python\u002Ffastapi\u002F18.fastapi-routing-params",{"title":2820,"path":2821,"stem":2822},"Pydantic v2 у FastAPI — схеми, валідація та серіалізація","\u002Fpython\u002Ffastapi\u002Ffastapi-pydantic-schemas","05.python\u002Ffastapi\u002F19.fastapi-pydantic-schemas",{"title":2824,"path":2825,"stem":2826},"Dependency Injection — серце архітектури FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-dependency-injection","05.python\u002Ffastapi\u002F20.fastapi-dependency-injection",{"title":2828,"path":2829,"stem":2830},"Обробка помилок, Middleware та CORS у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-errors-middleware","05.python\u002Ffastapi\u002F21.fastapi-errors-middleware",{"title":2832,"path":2833,"stem":2834},"SQLAlchemy 2.0 — ORM, Core та Async Engine","\u002Fpython\u002Ffastapi\u002Fsqlalchemy-orm","05.python\u002Ffastapi\u002F22.sqlalchemy-orm",{"title":2836,"path":2837,"stem":2838},"Alembic — міграції бази даних","\u002Fpython\u002Ffastapi\u002Falembic-migrations","05.python\u002Ffastapi\u002F23.alembic-migrations",{"title":2840,"path":2841,"stem":2842},"Repository Pattern та Clean Architecture у FastAPI","\u002Fpython\u002Ffastapi\u002Ffastapi-repository-clean-arch","05.python\u002Ffastapi\u002F24.fastapi-repository-clean-arch",{"title":2844,"path":2845,"stem":2846},"Автентифікація та авторизація — JWT, OAuth2, RBAC","\u002Fpython\u002Ffastapi\u002Ffastapi-auth-security","05.python\u002Ffastapi\u002F25.fastapi-auth-security",{"title":2848,"path":2849,"stem":2850},"Тестування FastAPI — pytest, httpx, fixtures","\u002Fpython\u002Ffastapi\u002Ffastapi-testing","05.python\u002Ffastapi\u002F26.fastapi-testing",{"title":2852,"path":2853,"stem":2854},"Async на повну — Background Tasks, WebSockets, SSE та Celery","\u002Fpython\u002Ffastapi\u002Ffastapi-async-advanced","05.python\u002Ffastapi\u002F27.fastapi-async-advanced",{"title":2856,"path":2857,"stem":2858},"Deployment — Docker, CI\u002FCD, Monitoring","\u002Fpython\u002Ffastapi\u002Ffastapi-deployment","05.python\u002Ffastapi\u002F28.fastapi-deployment",{"title":2860,"path":2861,"stem":2862},"[object Object]","\u002Fpython\u002Foop-plan","05.python\u002Foop-plan",{"title":2864,"icon":2865,"path":2866,"stem":2867,"children":2868,"page":59},"Бази даних","i-lucide-database","\u002Fdatabases","06.databases",[2869,2899,2922,2959,2988,3006,3040,3052,3061],{"title":2870,"icon":2871,"path":2872,"stem":2873,"children":2874,"page":59},"Intro","i-lucide-play","\u002Fdatabases\u002Fintro","06.databases\u002F01.intro",[2875,2879,2883,2887,2891,2895],{"title":2876,"path":2877,"stem":2878},"Введення в теорію баз даних","\u002Fdatabases\u002Fintro\u002Fintroduction-to-databases","06.databases\u002F01.intro\u002F01.introduction-to-databases",{"title":2880,"path":2881,"stem":2882},"Реляційна модель даних","\u002Fdatabases\u002Fintro\u002Frelational-model-theory","06.databases\u002F01.intro\u002F02.relational-model-theory",{"title":2884,"path":2885,"stem":2886},"ER-моделювання","\u002Fdatabases\u002Fintro\u002Fer-modeling","06.databases\u002F01.intro\u002F03.er-modeling",{"title":2888,"path":2889,"stem":2890},"Логічне проектування БД","\u002Fdatabases\u002Fintro\u002Flogical-schema","06.databases\u002F01.intro\u002F04.logical-schema",{"title":2892,"path":2893,"stem":2894},"Класифікація таблиць","\u002Fdatabases\u002Fintro\u002Ftable-classification","06.databases\u002F01.intro\u002F05.table-classification",{"title":2896,"path":2897,"stem":2898},"PlantUML для баз даних","\u002Fdatabases\u002Fintro\u002Fplantuml-diagrams","06.databases\u002F01.intro\u002F06.plantuml-diagrams",{"title":2900,"icon":2865,"path":2901,"stem":2902,"children":2903,"page":59},"MS SQL Server Start","\u002Fdatabases\u002Fms-sql-server-start","06.databases\u002F02.ms-sql-server-start",[2904,2908,2914,2918],{"title":2905,"path":2906,"stem":2907},"Типи даних у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fdata-types","06.databases\u002F02.ms-sql-server-start\u002F01.data-types",{"title":2909,"path":2910,"stem":2911,"children":2912},"Індекси у MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-indexes","06.databases\u002F02.ms-sql-server-start\u002F02.sql-indexes",[2913],{"title":2909,"path":2910,"stem":2911},{"title":2915,"path":2916,"stem":2917},"Системні бази даних MS SQL Server","\u002Fdatabases\u002Fms-sql-server-start\u002Fsystem-databases","06.databases\u002F02.ms-sql-server-start\u002F03.system-databases",{"title":2919,"path":2920,"stem":2921},"Огляд мови SQL та запитів","\u002Fdatabases\u002Fms-sql-server-start\u002Fsql-queries-overview","06.databases\u002F02.ms-sql-server-start\u002F04.sql-queries-overview",{"title":2923,"icon":2865,"path":2924,"stem":2925,"children":2926,"page":59},"SQL","\u002Fdatabases\u002Fsql","06.databases\u002F03.sql",[2927,2931,2935,2939,2943,2947,2951,2955],{"title":2928,"path":2929,"stem":2930},"Налаштування демонстраційної бази даних","\u002Fdatabases\u002Fsql\u002Fsample-database-setup","06.databases\u002F03.sql\u002F00.sample-database-setup",{"title":2932,"path":2933,"stem":2934},"DDL - Створення таблиць (CREATE TABLE)","\u002Fdatabases\u002Fsql\u002Fddl-create-table","06.databases\u002F03.sql\u002F01.ddl-create-table",{"title":2936,"path":2937,"stem":2938},"DDL - Зміна та видалення таблиць (ALTER, DROP)","\u002Fdatabases\u002Fsql\u002Fddl-alter-drop-table","06.databases\u002F03.sql\u002F02.ddl-alter-drop-table",{"title":2940,"path":2941,"stem":2942},"SELECT запити - Основи","\u002Fdatabases\u002Fsql\u002Fselect-queries-fundamentals","06.databases\u002F03.sql\u002F03.select-queries-fundamentals",{"title":2944,"path":2945,"stem":2946},"SELECT запити - Розширені можливості","\u002Fdatabases\u002Fsql\u002Fselect-queries-advanced","06.databases\u002F03.sql\u002F04.select-queries-advanced",{"title":2948,"path":2949,"stem":2950},"INSERT запити - Додавання даних","\u002Fdatabases\u002Fsql\u002Finsert-queries","06.databases\u002F03.sql\u002F05.insert-queries",{"title":2952,"path":2953,"stem":2954},"UPDATE та DELETE запити","\u002Fdatabases\u002Fsql\u002Fupdate-delete-queries","06.databases\u002F03.sql\u002F06.update-delete-queries",{"title":2956,"path":2957,"stem":2958},"Транзакції в SQL","\u002Fdatabases\u002Fsql\u002Ftransactions","06.databases\u002F03.sql\u002F07.transactions",{"title":2960,"icon":2865,"path":2961,"stem":2962,"children":2963,"page":59},"Multi Table Databases","\u002Fdatabases\u002Fmulti-table-databases","06.databases\u002F04.multi-table-databases",[2964,2968,2972,2976,2980,2984],{"title":2965,"path":2966,"stem":2967},"Зв'язки та нормалізація БД","\u002Fdatabases\u002Fmulti-table-databases\u002Frelationships-and-normalization","06.databases\u002F04.multi-table-databases\u002F00.relationships-and-normalization",{"title":2969,"path":2970,"stem":2971},"INNER JOIN - З'єднання таблиць","\u002Fdatabases\u002Fmulti-table-databases\u002Finner-join","06.databases\u002F04.multi-table-databases\u002F01.inner-join",{"title":2973,"path":2974,"stem":2975},"OUTER JOINs - LEFT, RIGHT, FULL","\u002Fdatabases\u002Fmulti-table-databases\u002Fouter-joins","06.databases\u002F04.multi-table-databases\u002F02.outer-joins",{"title":2977,"path":2978,"stem":2979},"CROSS та SELF JOINs","\u002Fdatabases\u002Fmulti-table-databases\u002Fcross-self-joins","06.databases\u002F04.multi-table-databases\u002F03.cross-self-joins",{"title":2981,"path":2982,"stem":2983},"Підзапити (Subqueries)","\u002Fdatabases\u002Fmulti-table-databases\u002Fsubqueries","06.databases\u002F04.multi-table-databases\u002F04.subqueries",{"title":2985,"path":2986,"stem":2987},"Агрегації з JOIN","\u002Fdatabases\u002Fmulti-table-databases\u002Faggregations-with-joins","06.databases\u002F04.multi-table-databases\u002F05.aggregations-with-joins",{"title":2989,"icon":2990,"path":2991,"stem":2992,"children":2993,"page":59},"Aggregate Functions","i-lucide-calculator","\u002Fdatabases\u002Faggregate-functions","06.databases\u002F05.aggregate-functions",[2994,2998,3002],{"title":2995,"path":2996,"stem":2997},"Функції агрегування в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fintroduction-aggregate-functions","06.databases\u002F05.aggregate-functions\u002F01.introduction-aggregate-functions",{"title":2999,"path":3000,"stem":3001},"Групування даних в MS SQL Server","\u002Fdatabases\u002Faggregate-functions\u002Fgrouping-data","06.databases\u002F05.aggregate-functions\u002F02.grouping-data",{"title":3003,"path":3004,"stem":3005},"Підзапити з агрегатними функціями","\u002Fdatabases\u002Faggregate-functions\u002Fsubqueries-aggregates","06.databases\u002F05.aggregate-functions\u002F03.subqueries-aggregates",{"title":3007,"icon":3008,"path":3009,"stem":3010,"children":3011,"page":59},"Тригери та зберігаємі процедури","i-lucide-database-zap","\u002Fdatabases\u002Ftriggers-stored-procedures","06.databases\u002F07.triggers-stored-procedures",[3012,3016,3020,3024,3028,3032,3036],{"title":3013,"path":3014,"stem":3015},"DML-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fdml-triggers","06.databases\u002F07.triggers-stored-procedures\u002F01.dml-triggers",{"title":3017,"path":3018,"stem":3019},"DDL-тригери","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fddl-triggers","06.databases\u002F07.triggers-stored-procedures\u002F02.ddl-triggers",{"title":3021,"path":3022,"stem":3023},"Transact-SQL розширення","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransact-sql-extensions","06.databases\u002F07.triggers-stored-procedures\u002F03.transact-sql-extensions",{"title":3025,"path":3026,"stem":3027},"Транзакції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Ftransactions","06.databases\u002F07.triggers-stored-procedures\u002F04.transactions",{"title":3029,"path":3030,"stem":3031},"Зберігаємі процедури","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fstored-procedures","06.databases\u002F07.triggers-stored-procedures\u002F05.stored-procedures",{"title":3033,"path":3034,"stem":3035},"Користувацькі функції","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fuser-defined-functions","06.databases\u002F07.triggers-stored-procedures\u002F06.user-defined-functions",{"title":3037,"path":3038,"stem":3039},"Безпека баз даних","\u002Fdatabases\u002Ftriggers-stored-procedures\u002Fsecurity","06.databases\u002F07.triggers-stored-procedures\u002F08.security",{"title":3037,"icon":793,"path":3041,"stem":3042,"children":3043,"page":59},"\u002Fdatabases\u002Fsecurity","06.databases\u002F08.security",[3044,3048],{"title":3045,"path":3046,"stem":3047},"Вступ до безпеки баз даних","\u002Fdatabases\u002Fsecurity\u002Fintroduction","06.databases\u002F08.security\u002F01.introduction",{"title":3049,"path":3050,"stem":3051},"Системні представлення та метадані","\u002Fdatabases\u002Fsecurity\u002Fsystem-views","06.databases\u002F08.security\u002F02.system-views",{"title":3053,"icon":3054,"path":3055,"stem":3056,"children":3057,"page":59},"Резервне копіювання та відновлення","i-lucide-database-backup","\u002Fdatabases\u002Fbackup-recovery","06.databases\u002F09.backup-recovery",[3058],{"title":3053,"path":3059,"stem":3060},"\u002Fdatabases\u002Fbackup-recovery\u002Fbackup-restore","06.databases\u002F09.backup-recovery\u002F01.backup-restore",{"title":3062,"icon":3063,"path":3064,"stem":3065,"children":3066,"page":59},"Повнотекстовий пошук","i-lucide-search","\u002Fdatabases\u002Ffull-text-search","06.databases\u002F10.full-text-search",[3067],{"title":3062,"path":3068,"stem":3069},"\u002Fdatabases\u002Ffull-text-search\u002Ffull-text-search","06.databases\u002F10.full-text-search\u002F01.full-text-search",{"title":3071,"icon":3072,"path":3073,"stem":3074,"children":3075,"page":59},"Tools","i-lucide-wrench","\u002Ftools","07.tools",[3076,3152],{"title":3077,"icon":3078,"path":3079,"stem":3080,"children":3081},"Docker","i-simple-icons-docker","\u002Ftools\u002Fdocker","07.tools\u002F01.docker\u002Findex",[3082,3084,3088,3092,3096,3100,3104,3108,3112,3116,3120,3124,3128,3132,3136,3140,3144,3148],{"title":3083,"path":3079,"stem":3080},"Docker: від нуля до production",{"title":3085,"path":3086,"stem":3087},"Контейнеризація — від проблеми до рішення","\u002Ftools\u002Fdocker\u002Fcontainerization-concept","07.tools\u002F01.docker\u002F01.containerization-concept",{"title":3089,"path":3090,"stem":3091},"Docker — що це і навіщо?","\u002Ftools\u002Fdocker\u002Fdocker-what-and-why","07.tools\u002F01.docker\u002F02.docker-what-and-why",{"title":3093,"path":3094,"stem":3095},"Архітектура Docker Engine","\u002Ftools\u002Fdocker\u002Fdocker-architecture","07.tools\u002F01.docker\u002F03.docker-architecture",{"title":3097,"path":3098,"stem":3099},"Встановлення Docker","\u002Ftools\u002Fdocker\u002Finstallation","07.tools\u002F01.docker\u002F04.installation",{"title":3101,"path":3102,"stem":3103},"Перший контейнер — docker run","\u002Ftools\u002Fdocker\u002Ffirst-container","07.tools\u002F01.docker\u002F05.first-container",{"title":3105,"path":3106,"stem":3107},"Життєвий цикл контейнера","\u002Ftools\u002Fdocker\u002Fcontainer-lifecycle","07.tools\u002F01.docker\u002F06.container-lifecycle",{"title":3109,"path":3110,"stem":3111},"Docker Images — фундаментальні концепції","\u002Ftools\u002Fdocker\u002Fdocker-images-fundamentals","07.tools\u002F01.docker\u002F07.docker-images-fundamentals",{"title":3113,"path":3114,"stem":3115},"Dockerfile — основи","\u002Ftools\u002Fdocker\u002Fdockerfile-basics","07.tools\u002F01.docker\u002F08.dockerfile-basics",{"title":3117,"path":3118,"stem":3119},"Dockerfile — просунуті техніки","\u002Ftools\u002Fdocker\u002Fdockerfile-advanced","07.tools\u002F01.docker\u002F09.dockerfile-advanced",{"title":3121,"path":3122,"stem":3123},"Build Context та кешування шарів","\u002Ftools\u002Fdocker\u002Fbuild-context-and-cache","07.tools\u002F01.docker\u002F10.build-context-and-cache",{"title":3125,"path":3126,"stem":3127},"Реєстри Docker-образів","\u002Ftools\u002Fdocker\u002Fimage-registries","07.tools\u002F01.docker\u002F11.image-registries",{"title":3129,"path":3130,"stem":3131},"Контейнеризація .NET додатків","\u002Ftools\u002Fdocker\u002Fdotnet-containerization","07.tools\u002F01.docker\u002F12.dotnet-containerization",{"title":3133,"path":3134,"stem":3135},"Томи та збереження даних","\u002Ftools\u002Fdocker\u002Fvolumes-and-data","07.tools\u002F01.docker\u002F13.volumes-and-data",{"title":3137,"path":3138,"stem":3139},"Основи мережі в Docker","\u002Ftools\u002Fdocker\u002Fnetworking-basics","07.tools\u002F01.docker\u002F14.networking-basics",{"title":3141,"path":3142,"stem":3143},"Змінні оточення та конфігурація","\u002Ftools\u002Fdocker\u002Fenvironment-and-configuration","07.tools\u002F01.docker\u002F15.environment-and-configuration",{"title":3145,"path":3146,"stem":3147},"Docker Compose — оркестрація контейнерів","\u002Ftools\u002Fdocker\u002Fdocker-compose-basics","07.tools\u002F01.docker\u002F16.docker-compose-basics",{"title":3149,"path":3150,"stem":3151},"Docker Compose — Multi-Service застосунки","\u002Ftools\u002Fdocker\u002Fcompose-multi-service","07.tools\u002F01.docker\u002F17.compose-multi-service",{"title":3153,"icon":3154,"path":3155,"stem":3156,"children":3157},"Kubernetes","simple-icons:kubernetes","\u002Ftools\u002Fkubernetes","07.tools\u002F02.kubernetes\u002Findex",[3158,3160,3164,3168,3172,3176,3180,3184,3188],{"title":3159,"path":3155,"stem":3156},"Kubernetes: від розробки до production",{"title":3161,"path":3162,"stem":3163},"Kubernetes — коли Docker Compose більше не вистачає","\u002Ftools\u002Fkubernetes\u002Fwhy-kubernetes","07.tools\u002F02.kubernetes\u002F01.why-kubernetes",{"title":3165,"path":3166,"stem":3167},"Архітектура Kubernetes — анатомія кластера","\u002Ftools\u002Fkubernetes\u002Fkubernetes-architecture","07.tools\u002F02.kubernetes\u002F02.kubernetes-architecture",{"title":3169,"path":3170,"stem":3171},"Локальне середовище — minikube, kind та k3s","\u002Ftools\u002Fkubernetes\u002Flocal-environment","07.tools\u002F02.kubernetes\u002F03.local-environment",{"title":3173,"path":3174,"stem":3175},"Pod — атомарна одиниця Kubernetes","\u002Ftools\u002Fkubernetes\u002Fpods-and-containers","07.tools\u002F02.kubernetes\u002F04.pods-and-containers",{"title":3177,"path":3178,"stem":3179},"Патерни використання Pod","\u002Ftools\u002Fkubernetes\u002Fpod-patterns","07.tools\u002F02.kubernetes\u002F05.pod-patterns",{"title":3181,"path":3182,"stem":3183},"Deployment — декларативне управління Pod","\u002Ftools\u002Fkubernetes\u002Fdeployment-basics","07.tools\u002F02.kubernetes\u002F06.deployment-basics",{"title":3185,"path":3186,"stem":3187},"Rolling Updates та управління життєвим циклом Deployment","\u002Ftools\u002Fkubernetes\u002Fdeployment-rolling-updates","07.tools\u002F02.kubernetes\u002F07.deployment-rolling-updates",{"title":3189,"path":3190,"stem":3191},"Service — мережева абстракція для Pod","\u002Ftools\u002Fkubernetes\u002Fservices-networking","07.tools\u002F02.kubernetes\u002F08.services-networking",{"title":3193,"icon":3194,"path":3195,"stem":3196,"children":3197,"page":59},"Software Engineering","i-lucide-code-2","\u002Fsoftware-engineering","09.software-engineering",[3198,3202,3206,3210,3214,3218,3222,3226,3230,3234,3238],{"title":3199,"path":3200,"stem":3201},"1. Аналіз предметної області. Експертні знання та складність","\u002Fsoftware-engineering\u002Fintro-subdomains","09.software-engineering\u002F01.intro-subdomains",{"title":3203,"path":3204,"stem":3205},"2. Обмежені контексти. Інтеграція обмежених контекстів","\u002Fsoftware-engineering\u002Fintegrating-limited-contexts","09.software-engineering\u002F02.integrating-limited-contexts",{"title":3207,"path":3208,"stem":3209},"3. Реалізація простої бізнес-логіки","\u002Fsoftware-engineering\u002Fsimple","09.software-engineering\u002F03.simple",{"title":3211,"path":3212,"stem":3213},"4. Опрацювання складної бізнес-логіки","\u002Fsoftware-engineering\u002Fcomplex-business-logic","09.software-engineering\u002F04.complex-business-logic",{"title":3215,"path":3216,"stem":3217},"5. Моделювання фактора часу. Подієво-орієнтована архітектура.","\u002Fsoftware-engineering\u002Fmodelling-the-time-factor","09.software-engineering\u002F05.modelling-the-time-factor",{"title":3219,"path":3220,"stem":3221},"6. Архітектурні патерни","\u002Fsoftware-engineering\u002Farchitectural-patterns","09.software-engineering\u002F06.architectural-patterns",{"title":3223,"path":3224,"stem":3225},"Паттерни взаємодії","\u002Fsoftware-engineering\u002Fpatterns-of-interaction","09.software-engineering\u002F07.patterns-of-interaction",{"title":3227,"path":3228,"stem":3229},"Евристика проєктування","\u002Fsoftware-engineering\u002Fdesign-heuristics","09.software-engineering\u002F08.design-heuristics",{"title":3231,"path":3232,"stem":3233},"Еволюція проєктних рішень","\u002Fsoftware-engineering\u002Fevolution-of-design-solutions","09.software-engineering\u002F09.evolution-of-design-solutions",{"title":3235,"path":3236,"stem":3237},"EventStorming","\u002Fsoftware-engineering\u002Feventstorming","09.software-engineering\u002F10.eventstorming",{"title":3239,"path":3240,"stem":3241},"DDD на практиці","\u002Fsoftware-engineering\u002Fddd-in-practice","09.software-engineering\u002F11.ddd-in-practice",{"title":3243,"icon":943,"path":3244,"stem":3245,"children":3246,"page":59},"DDD","\u002Fddd","10.ddd",[3247,3251,3255,3259,3263,3267,3271,3275,3279,3283,3287,3291,3295],{"title":3248,"path":3249,"stem":3250},"Аналіз предметної області","\u002Fddd\u002Fdomain-analysis","10.ddd\u002F01.domain-analysis",{"title":3252,"path":3253,"stem":3254},"Експертні знання про предметну область","\u002Fddd\u002Fdomain-expert-knowledge","10.ddd\u002F02.domain-expert-knowledge",{"title":3256,"path":3257,"stem":3258},"Як осмислити складність предметної області","\u002Fddd\u002Fmanaging-domain-complexity","10.ddd\u002F03.managing-domain-complexity",{"title":3260,"path":3261,"stem":3262},"Інтеграція обмежених контекстів","\u002Fddd\u002Fbounded-context-integration","10.ddd\u002F04.bounded-context-integration",{"title":3264,"path":3265,"stem":3266},"Реалізація простої бізнес-логіки","\u002Fddd\u002Fsimple-business-logic","10.ddd\u002F05.simple-business-logic",{"title":3268,"path":3269,"stem":3270},"Обробка складної бізнес-логіки","\u002Fddd\u002Fcomplex-business-logic","10.ddd\u002F06.complex-business-logic",{"title":3272,"path":3273,"stem":3274},"Моделювання фактора часу","\u002Fddd\u002Ftime-modeling","10.ddd\u002F07.time-modeling",{"title":3276,"path":3277,"stem":3278},"Глава 8. Архітектурні Патерни","\u002Fddd\u002Farchitectural-patterns","10.ddd\u002F08.architectural-patterns",{"title":3280,"path":3281,"stem":3282},"Глава 9. Патерни Взаємодії","\u002Fddd\u002Finteraction-patterns","10.ddd\u002F09.interaction-patterns",{"title":3284,"path":3285,"stem":3286},"Глава 10. Проектні Евристики","\u002Fddd\u002Fdesign-heuristics","10.ddd\u002F10.design-heuristics",{"title":3288,"path":3289,"stem":3290},"Глава 11. Еволюція Проектних Рішень","\u002Fddd\u002Fevolution-of-design-decisions","10.ddd\u002F11.evolution-of-design-decisions",{"title":3292,"path":3293,"stem":3294},"Глава 12. EventStorming","\u002Fddd\u002Fevent-storming","10.ddd\u002F12.event-storming",{"title":3296,"path":3297,"stem":3298},"Глава 13. DDD на Практиці","\u002Fddd\u002Fddd-in-practice","10.ddd\u002F13.ddd-in-practice",{"title":3300,"icon":3301,"path":3302,"stem":3303,"children":3304,"page":59},"Media Streaming","i-lucide-video","\u002Fmedia-streaming","11.media-streaming",[3305,3309,3313,3317,3321,3325,3329],{"title":3306,"path":3307,"stem":3308},"01. Магія Стрімінгу: Що відбувається, коли ви натискаєте \"Play\"","\u002Fmedia-streaming\u002Fintroduction","11.media-streaming\u002F01.introduction",{"title":3310,"path":3311,"stem":3312},"02. Анатомія Медіа: Кодеки, Контейнери та Стиснення","\u002Fmedia-streaming\u002Faudio-video-anatomy","11.media-streaming\u002F02.audio-video-anatomy",{"title":3314,"path":3315,"stem":3316},"03. The Gym: FFmpeg Deep Dive","\u002Fmedia-streaming\u002Fffmpeg-gym","11.media-streaming\u002F03.ffmpeg-gym",{"title":3318,"path":3319,"stem":3320},"04. HLS Protocol: HTTP Live Streaming у Деталях","\u002Fmedia-streaming\u002Fhls-protocol","11.media-streaming\u002F04.hls-protocol",{"title":3322,"path":3323,"stem":3324},"05. DASH Protocol: Відкритий Стандарт","\u002Fmedia-streaming\u002Fdash-protocol","11.media-streaming\u002F05.dash-protocol",{"title":3326,"path":3327,"stem":3328},"06. Масштабування: CDN та Adaptive Bitrate","\u002Fmedia-streaming\u002Fcdn-and-adaptive-bitrate","11.media-streaming\u002F06.cdn-and-adaptive-bitrate",{"title":3330,"path":3331,"stem":3332},"07. Війна із Затримкою (Latency)","\u002Fmedia-streaming\u002Frealtime-latency","11.media-streaming\u002F07.realtime-latency",{"title":3334,"icon":3335,"path":3336,"stem":3337,"children":3338,"page":59},"HTML & CSS","i-devicon-html5","\u002Fhtml-css","12.html-css",[3339,3343,3347,3351,3355,3359,3363,3367,3371,3375,3379,3383,3387,3391,3395,3399,3403,3407,3411,3415,3419,3423,3427,3431,3435,3439,3443,3447,3451,3455],{"title":3340,"path":3341,"stem":3342},"Вступ до HTML. Структура документа","\u002Fhtml-css\u002Fintro-html-structure","12.html-css\u002F01.intro-html-structure",{"title":3344,"path":3345,"stem":3346},"Форматування тексту в HTML","\u002Fhtml-css\u002Fhtml-text-formatting","12.html-css\u002F02.html-text-formatting",{"title":3348,"path":3349,"stem":3350},"Посилання та зображення в HTML","\u002Fhtml-css\u002Fhtml-links-images","12.html-css\u002F03.html-links-images",{"title":3352,"path":3353,"stem":3354},"Списки та таблиці в HTML","\u002Fhtml-css\u002Fhtml-lists-tables","12.html-css\u002F04.html-lists-tables",{"title":3356,"path":3357,"stem":3358},"Форми в HTML","\u002Fhtml-css\u002Fhtml-forms","12.html-css\u002F05.html-forms",{"title":3360,"path":3361,"stem":3362},"Семантичні елементи HTML5","\u002Fhtml-css\u002Fhtml-semantic-elements","12.html-css\u002F06.html-semantic-elements",{"title":3364,"path":3365,"stem":3366},"Мультимедіа та розширені елементи HTML","\u002Fhtml-css\u002Fhtml-multimedia-advanced","12.html-css\u002F07.html-multimedia-advanced",{"title":3368,"path":3369,"stem":3370},"Мікророзмітка та SEO в HTML","\u002Fhtml-css\u002Fhtml-microdata-seo","12.html-css\u002F08.html-microdata-seo",{"title":3372,"path":3373,"stem":3374},"Вступ до CSS. Селектори та специфічність","\u002Fhtml-css\u002Fcss-intro-selectors","12.html-css\u002F09.css-intro-selectors",{"title":3376,"path":3377,"stem":3378},"Блокова модель CSS. Відступи. Box Sizing","\u002Fhtml-css\u002Fcss-box-model","12.html-css\u002F10.css-box-model",{"title":3380,"path":3381,"stem":3382},"Розміри у CSS: повний довідник одиниць і ключових слів","\u002Fhtml-css\u002F10a.css-sizing","12.html-css\u002F10a.css-sizing",{"title":3384,"path":3385,"stem":3386},"Типографіка в CSS. Шрифти та текст","\u002Fhtml-css\u002Fcss-typography","12.html-css\u002F11.css-typography",{"title":3388,"path":3389,"stem":3390},"Кольори та фони в CSS","\u002Fhtml-css\u002Fcss-colors-backgrounds","12.html-css\u002F12.css-colors-backgrounds",{"title":3392,"path":3393,"stem":3394},"Тіні та фільтри в CSS","\u002Fhtml-css\u002F12b.css-shadows-filters","12.html-css\u002F12b.css-shadows-filters",{"title":3396,"path":3397,"stem":3398},"CSS Flexbox: Фундамент гнучких макетів","\u002Fhtml-css\u002Fcss-flexbox-fundamentals","12.html-css\u002F13.css-flexbox-fundamentals",{"title":3400,"path":3401,"stem":3402},"CSS Flexbox: Вирівнювання та Позиціонування","\u002Fhtml-css\u002Fcss-flexbox-alignment-sizing-and-patterns","12.html-css\u002F14.css-flexbox-alignment-sizing-and-patterns",{"title":3404,"path":3405,"stem":3406},"CSS Grid. Двовимірний макет. Частина 1","\u002Fhtml-css\u002Fcss-layout-grid","12.html-css\u002F15.css-layout-grid",{"title":3408,"path":3409,"stem":3410},"CSS Grid. Двовимірний макет. Частина 2","\u002Fhtml-css\u002Fcss-layout-grid-advanced","12.html-css\u002F16.css-layout-grid-advanced",{"title":3412,"path":3413,"stem":3414},"Позиціонування в CSS. Z-index. Stacking Context","\u002Fhtml-css\u002Fcss-positioning","12.html-css\u002F17.css-positioning",{"title":3416,"path":3417,"stem":3418},"CSS Анімації та Переходи","\u002Fhtml-css\u002Fcss-animations-transitions","12.html-css\u002F18.css-animations-transitions",{"title":3420,"path":3421,"stem":3422},"Адаптивний дизайн. Media Queries. Частина 1","\u002Fhtml-css\u002Fcss-responsive-media-queries","12.html-css\u002F19.css-responsive-media-queries",{"title":3424,"path":3425,"stem":3426},"Адаптивний дизайн. Частина 2: clamp(), Container Queries, @layer","\u002Fhtml-css\u002Fcss-responsive-advanced","12.html-css\u002F20.css-responsive-advanced",{"title":3428,"path":3429,"stem":3430},"CSS Custom Properties. Методології. Сучасний CSS","\u002Fhtml-css\u002Fcss-variables-methodologies","12.html-css\u002F21.css-variables-methodologies",{"title":3432,"path":3433,"stem":3434},"Сучасний CSS 2023–2025: Нові можливості","\u002Fhtml-css\u002Fcss-modern-features","12.html-css\u002F22.css-modern-features",{"title":3436,"path":3437,"stem":3438},"CSS Nesting, @layer, @scope та @property: нативний препроцесор","\u002Fhtml-css\u002F22a.css-nesting-modern-syntax","12.html-css\u002F22a.css-nesting-modern-syntax",{"title":3440,"path":3441,"stem":3442},"CSS для форм та інтерактивних станів","\u002Fhtml-css\u002Fcss-forms-interactive-states","12.html-css\u002F23.css-forms-interactive-states",{"title":3444,"path":3445,"stem":3446},"Доступність у CSS (CSS Accessibility)","\u002Fhtml-css\u002Fcss-accessibility","12.html-css\u002F24.css-accessibility",{"title":3448,"path":3449,"stem":3450},"CSS-функції та сучасні sizing primitives","\u002Fhtml-css\u002Fcss-functions-sizing","12.html-css\u002F25.css-functions-sizing",{"title":3452,"path":3453,"stem":3454},"Rendering Pipeline і CSS Performance","\u002Fhtml-css\u002Fcss-rendering-performance","12.html-css\u002F26.css-rendering-performance",{"title":3456,"path":3457,"stem":3458},"CSS Best Practices: типові ситуації та правильні рішення","\u002Fhtml-css\u002Fcss-best-practices","12.html-css\u002F27.css-best-practices",{"title":3460,"path":3461,"stem":3462,"children":3463,"page":59},"AWS","\u002Faws","13.aws",[3464,3468,3472,3476,3480,3484,3488,3492,3496,3500,3504,3508,3512,3516,3520,3524,3528,3532],{"title":3465,"path":3466,"stem":3467},"Реєстрація AWS акаунту та студентські програми","\u002Faws\u002Faccount-registration","13.aws\u002F00.account-registration",{"title":3469,"path":3470,"stem":3471},"Вступ до хмарних обчислень та AWS","\u002Faws\u002Fintroduction-to-cloud","13.aws\u002F01.introduction-to-cloud",{"title":3473,"path":3474,"stem":3475},"AWS IAM — Identity and Access Management","\u002Faws\u002Fiam","13.aws\u002F02.iam",{"title":3477,"path":3478,"stem":3479},"AWS IAM CLI — Довідник команд","\u002Faws\u002F02a.iam-doc","13.aws\u002F02a.iam-doc",{"title":3481,"path":3482,"stem":3483},"Docker та контейнеризація в AWS — ECR, ECS та Fargate","\u002Faws\u002Fdocker-ecs","13.aws\u002F03.docker-ecs",{"title":3485,"path":3486,"stem":3487},"AWS ECR \u002F ECS CLI — Довідник команд","\u002Faws\u002F03a.docker-ecs-doc","13.aws\u002F03a.docker-ecs-doc",{"title":3489,"path":3490,"stem":3491},"Amazon EC2 — Elastic Compute Cloud","\u002Faws\u002Fec2","13.aws\u002F04.ec2",{"title":3493,"path":3494,"stem":3495},"AWS EC2 CLI — Довідник команд","\u002Faws\u002F04a.ec2-doc","13.aws\u002F04a.ec2-doc",{"title":3497,"path":3498,"stem":3499},"Elastic Load Balancing та Auto Scaling","\u002Faws\u002Falb-asg","13.aws\u002F05.alb-asg",{"title":3501,"path":3502,"stem":3503},"Amazon S3 — Simple Storage Service","\u002Faws\u002Fs3","13.aws\u002F06.s3",{"title":3505,"path":3506,"stem":3507},"Amazon CloudFront — Content Delivery Network","\u002Faws\u002Fcloudfront","13.aws\u002F07.cloudfront",{"title":3509,"path":3510,"stem":3511},"Amazon RDS — Relational Database Service","\u002Faws\u002Frds","13.aws\u002F08.rds",{"title":3513,"path":3514,"stem":3515},"Amazon DynamoDB — NoSQL Database","\u002Faws\u002Fdynamodb","13.aws\u002F09.dynamodb",{"title":3517,"path":3518,"stem":3519},"AWS Lambda та Serverless Compute","\u002Faws\u002Flambda","13.aws\u002F10.lambda",{"title":3521,"path":3522,"stem":3523},"Amazon Bedrock - Foundation Models, RAG та Agents","\u002Faws\u002Fbedrock","13.aws\u002F22.bedrock",{"title":3525,"path":3526,"stem":3527},"Amazon Rekognition - Комп'ютерний зір","\u002Faws\u002Frekognition","13.aws\u002F23.rekognition",{"title":3529,"path":3530,"stem":3531},"Amazon Textract - Інтелектуальний аналіз документів","\u002Faws\u002Ftextract","13.aws\u002F24.textract",{"title":3533,"path":3534,"stem":3535},"Amazon Polly, Transcribe, Comprehend та Translate","\u002Faws\u002Faudio-nlp-services","13.aws\u002F25.audio-nlp-services",{"title":3537,"path":3538,"stem":3539,"children":3540,"page":59},"Ai Development","\u002Fai-development","14.ai-development",[3541],{"title":3542,"path":3543,"stem":3544,"children":3545,"page":59},"Foundations","\u002Fai-development\u002Ffoundations","14.ai-development\u002F00.foundations",[3546],{"title":3547,"path":3548,"stem":3549},"Модуль 0.1. Що таке Large Language Model (LLM)","\u002Fai-development\u002Ffoundations\u002Fwhat-is-llm","14.ai-development\u002F00.foundations\u002F01.what-is-llm",{"title":3551,"path":3552,"stem":3553,"children":3554,"page":59},"React Native","\u002Freact-native","15.react-native",[3555,3576],{"title":3556,"path":3557,"stem":3558,"children":3559,"page":59},"Version1","\u002Freact-native\u002Fversion1","15.react-native\u002Fversion1",[3560,3564,3568,3572],{"title":3561,"path":3562,"stem":3563},"Що таке React Native","\u002Freact-native\u002Fversion1\u002Fwhat-is-react-native","15.react-native\u002Fversion1\u002F01.what-is-react-native",{"title":3565,"path":3566,"stem":3567},"Як влаштований React Native «під капотом»","\u002Freact-native\u002Fversion1\u002Freact-native-architecture","15.react-native\u002Fversion1\u002F02.react-native-architecture",{"title":3569,"path":3570,"stem":3571},"Від React до React Native: ключові відмінності","\u002Freact-native\u002Fversion1\u002Freact-native-vs-react","15.react-native\u002Fversion1\u002F03.react-native-vs-react",{"title":3573,"path":3574,"stem":3575},"View та Text — фундаментальні будівельні блоки","\u002Freact-native\u002Fversion1\u002Fview-and-text","15.react-native\u002Fversion1\u002F04.view-and-text",{"title":3577,"path":3578,"stem":3579,"children":3580,"page":59},"Version2","\u002Freact-native\u002Fversion2","15.react-native\u002Fversion2",[3581,3585,3589,3593,3597,3601,3605,3609,3613,3617,3621,3625,3629,3633,3637,3641,3645,3649,3653,3657,3661,3665,3669,3673,3677,3681,3685],{"title":3582,"path":3583,"stem":3584},"React Native — навіщо він потрібен","\u002Freact-native\u002Fversion2\u002Fwhy-react-native","15.react-native\u002Fversion2\u002F01.why-react-native",{"title":3586,"path":3587,"stem":3588},"Налаштування середовища розробки","\u002Freact-native\u002Fversion2\u002Fenvironment-setup","15.react-native\u002Fversion2\u002F02.environment-setup",{"title":3590,"path":3591,"stem":3592},"Expo і класичний React Native — два шляхи одного фреймворку","\u002Freact-native\u002Fversion2\u002Fexpo-vs-cli-landscape","15.react-native\u002Fversion2\u002F03.expo-vs-cli-landscape",{"title":3594,"path":3595,"stem":3596},"Середовище Expo — перший запуск","\u002Freact-native\u002Fversion2\u002Fexpo-setup-and-tooling","15.react-native\u002Fversion2\u002F04.expo-setup-and-tooling",{"title":3598,"path":3599,"stem":3600},"Структура проєкту та перші UI-примітиви","\u002Freact-native\u002Fversion2\u002Fproject-structure-and-conventions","15.react-native\u002Fversion2\u002F05.project-structure-and-conventions",{"title":3602,"path":3603,"stem":3604},"Базові компоненти React Native","\u002Freact-native\u002Fversion2\u002Fcore-components","15.react-native\u002Fversion2\u002F06.core-components",{"title":3606,"path":3607,"stem":3608},"Flexbox і layout у React Native","\u002Freact-native\u002Fversion2\u002Fflexbox-and-layout","15.react-native\u002Fversion2\u002F07.flexbox-and-layout",{"title":3610,"path":3611,"stem":3612},"StyleSheet і теми (light \u002F dark)","\u002Freact-native\u002Fversion2\u002Fstylesheet-and-theming","15.react-native\u002Fversion2\u002F08.stylesheet-and-theming",{"title":3614,"path":3615,"stem":3616},"Списки та віртуалізація","\u002Freact-native\u002Fversion2\u002Flists-and-virtualization","15.react-native\u002Fversion2\u002F09.lists-and-virtualization",{"title":3618,"path":3619,"stem":3620},"Форми, ввід і валідація","\u002Freact-native\u002Fversion2\u002Fforms-input-validation","15.react-native\u002Fversion2\u002F10.forms-input-validation",{"title":3622,"path":3623,"stem":3624},"Основи Expo Router","\u002Freact-native\u002Fversion2\u002Fexpo-router-basics","15.react-native\u002Fversion2\u002F11.expo-router-basics",{"title":3626,"path":3627,"stem":3628},"Вкладені навігатори та модалки","\u002Freact-native\u002Fversion2\u002Fnested-navigators-and-modals","15.react-native\u002Fversion2\u002F12.nested-navigators-and-modals",{"title":3630,"path":3631,"stem":3632},"Deep linking і параметри маршрутів","\u002Freact-native\u002Fversion2\u002Fdeep-linking-and-params","15.react-native\u002Fversion2\u002F13.deep-linking-and-params",{"title":3634,"path":3635,"stem":3636},"Робота з мережею та життєвий цикл застосунку","\u002Freact-native\u002Fversion2\u002Fnetworking-and-app-lifecycle","15.react-native\u002Fversion2\u002F14.networking-and-app-lifecycle",{"title":3638,"path":3639,"stem":3640},"Redux Toolkit на мобільних платформах","\u002Freact-native\u002Fversion2\u002Fredux-toolkit-on-mobile","15.react-native\u002Fversion2\u002F15.redux-toolkit-on-mobile",{"title":3642,"path":3643,"stem":3644},"RTK Query на мобільних платформах","\u002Freact-native\u002Fversion2\u002Frtk-query-mobile","15.react-native\u002Fversion2\u002F16.rtk-query-mobile",{"title":3646,"path":3647,"stem":3648},"Автентифікація та Безпечне Зберігання","\u002Freact-native\u002Fversion2\u002Fauth-secure-storage","15.react-native\u002Fversion2\u002F18.auth-secure-storage",{"title":3650,"path":3651,"stem":3652},"Локальне сховище — AsyncStorage, MMKV, SQLite","\u002Freact-native\u002Fversion2\u002Flocal-storage-mmkv-sqlite","15.react-native\u002Fversion2\u002F19.local-storage-mmkv-sqlite",{"title":3654,"path":3655,"stem":3656},"Офлайн-First і синхронізація","\u002Freact-native\u002Fversion2\u002Foffline-first-sync","15.react-native\u002Fversion2\u002F20.offline-first-sync",{"title":3658,"path":3659,"stem":3660},"Камера, медіа та файлова система","\u002Freact-native\u002Fversion2\u002Fcamera-media-filesystem","15.react-native\u002Fversion2\u002F21.camera-media-filesystem",{"title":3662,"path":3663,"stem":3664},"Карти та геолокація","\u002Freact-native\u002Fversion2\u002Fmaps-and-location","15.react-native\u002Fversion2\u002F22.maps-and-location",{"title":3666,"path":3667,"stem":3668},"Жести та дотики","\u002Freact-native\u002Fversion2\u002Fgestures-and-touch","15.react-native\u002Fversion2\u002F23.gestures-and-touch",{"title":3670,"path":3671,"stem":3672},"Анімації з Reanimated","\u002Freact-native\u002Fversion2\u002Freanimated-animations","15.react-native\u002Fversion2\u002F24.reanimated-animations",{"title":3674,"path":3675,"stem":3676},"Push і локальні сповіщення","\u002Freact-native\u002Fversion2\u002Fpush-and-local-notifications","15.react-native\u002Fversion2\u002F25.push-and-local-notifications",{"title":3678,"path":3679,"stem":3680},"Інтернаціоналізація та доступність","\u002Freact-native\u002Fversion2\u002Faccessibility-and-i18n","15.react-native\u002Fversion2\u002F26.accessibility-and-i18n",{"title":3682,"path":3683,"stem":3684},"EAS Build та профілі збірки","\u002Freact-native\u002Fversion2\u002Feas-build-and-profiles","15.react-native\u002Fversion2\u002F29.eas-build-and-profiles",{"title":3686,"path":3687,"stem":3688},"Публікація в App Store та Google Play","\u002Freact-native\u002Fversion2\u002Fapp-store-play-release","15.react-native\u002Fversion2\u002F30.app-store-play-release",{"title":3690,"path":3691,"stem":3692,"children":3693,"page":59},"Ai Python","\u002Fai-python","16.ai-python",[3694,3703,3712,3721,3750,3776,3801,3834,3851,3864,3873,3886,3895,3916,3929,3950],{"title":3695,"path":3696,"stem":3697,"children":3698,"page":59},"Intro To Ai","\u002Fai-python\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai",[3699],{"title":3700,"path":3701,"stem":3702},"Вступ до штучного інтелекту та машинного навчання","\u002Fai-python\u002Fintro-to-ai\u002Fintro-to-ai","16.ai-python\u002F01.intro-to-ai\u002F01.intro-to-ai",{"title":3704,"path":3705,"stem":3706,"children":3707,"page":59},"Jupyter Notebook","\u002Fai-python\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook",[3708],{"title":3709,"path":3710,"stem":3711},"Знайомство з Jupyter Notebook та JupyterLab","\u002Fai-python\u002Fjupyter-notebook\u002Fjupyter-notebook","16.ai-python\u002F02.jupyter-notebook\u002F02.jupyter-notebook",{"title":3713,"path":3714,"stem":3715,"children":3716,"page":59},"Numpy Pandas","\u002Fai-python\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas",[3717],{"title":3718,"path":3719,"stem":3720},"Робота з даними з використанням NumPy і pandas","\u002Fai-python\u002Fnumpy-pandas\u002Fnumpy-pandas","16.ai-python\u002F03.numpy-pandas\u002F03.numpy-pandas",{"title":3722,"path":3723,"stem":3724,"children":3725,"page":59},"Statistics Basics","\u002Fai-python\u002Fstatistics-basics","16.ai-python\u002F04.statistics-basics",[3726,3730,3734,3738,3742,3746],{"title":3727,"path":3728,"stem":3729},"Випадкові величини та їх типи","\u002Fai-python\u002Fstatistics-basics\u002Frandom-variables","16.ai-python\u002F04.statistics-basics\u002F01.random-variables",{"title":3731,"path":3732,"stem":3733},"Міри центральної тенденції","\u002Fai-python\u002Fstatistics-basics\u002Fcentral-tendency","16.ai-python\u002F04.statistics-basics\u002F02.central-tendency",{"title":3735,"path":3736,"stem":3737},"Міри варіації (розсіювання)","\u002Fai-python\u002Fstatistics-basics\u002Fvariability","16.ai-python\u002F04.statistics-basics\u002F03.variability",{"title":3739,"path":3740,"stem":3741},"Розподіли випадкових величин","\u002Fai-python\u002Fstatistics-basics\u002Fdistributions","16.ai-python\u002F04.statistics-basics\u002F04.distributions",{"title":3743,"path":3744,"stem":3745},"Кореляція та взаємозв'язки","\u002Fai-python\u002Fstatistics-basics\u002Fcorrelation","16.ai-python\u002F04.statistics-basics\u002F05.correlation",{"title":3747,"path":3748,"stem":3749},"Викиди та аномалії","\u002Fai-python\u002Fstatistics-basics\u002Foutliers","16.ai-python\u002F04.statistics-basics\u002F06.outliers",{"title":3751,"path":3752,"stem":3753,"children":3754},"Візуалізація даних за допомогою matplotlib","\u002Fai-python\u002Fdata-visualization","16.ai-python\u002F05.data-visualization\u002Findex",[3755,3756,3760,3764,3768,3772],{"title":3751,"path":3752,"stem":3753},{"title":3757,"path":3758,"stem":3759},"Основи matplotlib — Figure, Axes та перший графік","\u002Fai-python\u002Fdata-visualization\u002Fmatplotlib-basics","16.ai-python\u002F05.data-visualization\u002F01.matplotlib-basics",{"title":3761,"path":3762,"stem":3763},"Візуалізація розподілів — гістограми та box plots","\u002Fai-python\u002Fdata-visualization\u002Fdistributions","16.ai-python\u002F05.data-visualization\u002F02.distributions",{"title":3765,"path":3766,"stem":3767},"Візуалізація залежностей — scatter plots та кореляція","\u002Fai-python\u002Fdata-visualization\u002Frelationships","16.ai-python\u002F05.data-visualization\u002F03.relationships",{"title":3769,"path":3770,"stem":3771},"Візуалізація категоріальних даних — bar charts та pie charts","\u002Fai-python\u002Fdata-visualization\u002Fcategorical","16.ai-python\u002F05.data-visualization\u002F04.categorical",{"title":3773,"path":3774,"stem":3775},"Композиції та стилізація — subplots та багатопанельні дашборди","\u002Fai-python\u002Fdata-visualization\u002Fsubplots-styling","16.ai-python\u002F05.data-visualization\u002F05.subplots-styling",{"title":3777,"path":3778,"stem":3779,"children":3780,"page":59},"Linear Regression","\u002Fai-python\u002Flinear-regression","16.ai-python\u002F06.linear-regression",[3781,3785,3789,3793,3797],{"title":3782,"path":3783,"stem":3784},"Регресійна задача та лінійна регресія з однією змінною","\u002Fai-python\u002Flinear-regression\u002Fregression-task","16.ai-python\u002F06.linear-regression\u002F01.regression-task",{"title":3786,"path":3787,"stem":3788},"Метрики якості регресії — як оцінити модель","\u002Fai-python\u002Flinear-regression\u002Fquality-metrics","16.ai-python\u002F06.linear-regression\u002F02.quality-metrics",{"title":3790,"path":3791,"stem":3792},"Градієнтний спуск — як модель навчається","\u002Fai-python\u002Flinear-regression\u002Fgradient-descent","16.ai-python\u002F06.linear-regression\u002F03.gradient-descent",{"title":3794,"path":3795,"stem":3796},"Множинна лінійна регресія — модель з багатьма ознаками","\u002Fai-python\u002Flinear-regression\u002Fmultiple-regression","16.ai-python\u002F06.linear-regression\u002F04.multiple-regression",{"title":3798,"path":3799,"stem":3800},"Практичні завдання та резюме модуля","\u002Fai-python\u002Flinear-regression\u002Fpractice","16.ai-python\u002F06.linear-regression\u002F05.practice",{"title":3802,"path":3803,"stem":3804,"children":3805,"page":59},"Practical Regression","\u002Fai-python\u002Fpractical-regression","16.ai-python\u002F07.practical-regression",[3806,3810,3814,3818,3822,3826,3830],{"title":3807,"path":3808,"stem":3809},"Знайомство з scikit-learn","\u002Fai-python\u002Fpractical-regression\u002Fintro-scikit-learn","16.ai-python\u002F07.practical-regression\u002F01.intro-scikit-learn",{"title":3811,"path":3812,"stem":3813},"Exploratory Data Analysis датасету Housing Prices","\u002Fai-python\u002Fpractical-regression\u002Fhousing-dataset-eda","16.ai-python\u002F07.practical-regression\u002F02.housing-dataset-eda",{"title":3815,"path":3816,"stem":3817},"Попередня обробка даних (Data Preprocessing)","\u002Fai-python\u002Fpractical-regression\u002Fdata-preprocessing","16.ai-python\u002F07.practical-regression\u002F03.data-preprocessing",{"title":3819,"path":3820,"stem":3821},"Train\u002FTest Split та перша повноцінна модель","\u002Fai-python\u002Fpractical-regression\u002Ftrain-test-split","16.ai-python\u002F07.practical-regression\u002F04.train-test-split",{"title":3823,"path":3824,"stem":3825},"Перенавчання та недонавчання","\u002Fai-python\u002Fpractical-regression\u002Foverfitting-underfitting","16.ai-python\u002F07.practical-regression\u002F05.overfitting-underfitting",{"title":3827,"path":3828,"stem":3829},"Крос-валідація (Cross-Validation)","\u002Fai-python\u002Fpractical-regression\u002Fcross-validation","16.ai-python\u002F07.practical-regression\u002F06.cross-validation",{"title":3831,"path":3832,"stem":3833},"Гіперпараметри та їх оптимізація","\u002Fai-python\u002Fpractical-regression\u002Fhyperparameter-tuning","16.ai-python\u002F07.practical-regression\u002F07.hyperparameter-tuning",{"title":3835,"path":3836,"stem":3837,"children":3838,"page":59},"Polynomial Regression","\u002Fai-python\u002Fpolynomial-regression","16.ai-python\u002F08.polynomial-regression",[3839,3843,3847],{"title":3840,"path":3841,"stem":3842},"Нелінійні залежності та поліноміальна регресія","\u002Fai-python\u002Fpolynomial-regression\u002Fnonlinear-patterns","16.ai-python\u002F08.polynomial-regression\u002F01.nonlinear-patterns",{"title":3844,"path":3845,"stem":3846},"Регуляризація в регресії — Ridge та Lasso","\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods","16.ai-python\u002F08.polynomial-regression\u002F02.regularization-methods",{"title":3848,"path":3849,"stem":3850},"Практика — поліноміальна регресія та регуляризація на Housing Prices","\u002Fai-python\u002Fpolynomial-regression\u002Fhousing-prices-practice","16.ai-python\u002F08.polynomial-regression\u002F03.housing-prices-practice",{"title":3852,"path":3853,"stem":3854,"children":3855,"page":59},"Decision Trees Random Forest","\u002Fai-python\u002Fdecision-trees-random-forest","16.ai-python\u002F09.decision-trees-random-forest",[3856,3860],{"title":3857,"path":3858,"stem":3859},"Дерева рішень — моделі з прозорою та зрозумілою логікою","\u002Fai-python\u002Fdecision-trees-random-forest\u002Fdecision-trees","16.ai-python\u002F09.decision-trees-random-forest\u002F01.decision-trees",{"title":3861,"path":3862,"stem":3863},"Random Forest — ансамблі дерев рішень","\u002Fai-python\u002Fdecision-trees-random-forest\u002Frandom-forest","16.ai-python\u002F09.decision-trees-random-forest\u002F02.random-forest",{"title":3865,"path":3866,"stem":3867,"children":3868,"page":59},"Gradient Boosting","\u002Fai-python\u002Fgradient-boosting","16.ai-python\u002F10.gradient-boosting",[3869],{"title":3870,"path":3871,"stem":3872},"Градієнтний бустинг та XGBoost — послідовне виправлення помилок","\u002Fai-python\u002Fgradient-boosting\u002Fgradient-boosting-xgboost","16.ai-python\u002F10.gradient-boosting\u002F01.gradient-boosting-xgboost",{"title":3874,"path":3875,"stem":3876,"children":3877,"page":59},"Logistic Regression Classification","\u002Fai-python\u002Flogistic-regression-classification","16.ai-python\u002F11.logistic-regression-classification",[3878,3882],{"title":3879,"path":3880,"stem":3881},"Основи класифікації та логістична регресія","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-basics","16.ai-python\u002F11.logistic-regression-classification\u002F01.classification-basics",{"title":3883,"path":3884,"stem":3885},"Метрики якості класифікації","\u002Fai-python\u002Flogistic-regression-classification\u002Fclassification-metrics","16.ai-python\u002F11.logistic-regression-classification\u002F02.classification-metrics",{"title":3887,"path":3888,"stem":3889,"children":3890,"page":59},"Neural Networks Basics","\u002Fai-python\u002Fneural-networks-basics","16.ai-python\u002F12.neural-networks-basics",[3891],{"title":3892,"path":3893,"stem":3894},"Вступ до нейронних мереж — від персептрона до багатошарових мереж","\u002Fai-python\u002Fneural-networks-basics\u002Fperceptron-to-mlp","16.ai-python\u002F12.neural-networks-basics\u002F01.perceptron-to-mlp",{"title":3896,"path":3897,"stem":3898,"children":3899,"page":59},"Pytorch Intro","\u002Fai-python\u002Fpytorch-intro","16.ai-python\u002F13.pytorch-intro",[3900,3904,3908,3912],{"title":3901,"path":3902,"stem":3903},"Тензори та автоматичне диференціювання в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Ftensors-and-autograd","16.ai-python\u002F13.pytorch-intro\u002F01.tensors-and-autograd",{"title":3905,"path":3906,"stem":3907},"Побудова та тренування нейронних мереж у PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fbuilding-and-training","16.ai-python\u002F13.pytorch-intro\u002F02.building-and-training",{"title":3909,"path":3910,"stem":3911},"Робота з даними та регуляризація в PyTorch","\u002Fai-python\u002Fpytorch-intro\u002Fdata-and-regularization","16.ai-python\u002F13.pytorch-intro\u002F03.data-and-regularization",{"title":3913,"path":3914,"stem":3915},"Просунуті теми PyTorch — GPU, оптимізація та deployment","\u002Fai-python\u002Fpytorch-intro\u002Fadvanced-topics","16.ai-python\u002F13.pytorch-intro\u002F04.advanced-topics",{"title":3917,"path":3918,"stem":3919,"children":3920,"page":59},"Activation Functions Heart Disease","\u002Fai-python\u002Factivation-functions-heart-disease","16.ai-python\u002F14.activation-functions-heart-disease",[3921,3925],{"title":3922,"path":3923,"stem":3924},"Функції активації та побудова нейронної мережі для передбачення вад серця","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fheart-disease-prediction","16.ai-python\u002F14.activation-functions-heart-disease\u002F01.heart-disease-prediction",{"title":3926,"path":3927,"stem":3928},"Бонус — Повний приклад Student Performance Prediction","\u002Fai-python\u002Factivation-functions-heart-disease\u002Fstudent-performance-bonus","16.ai-python\u002F14.activation-functions-heart-disease\u002F02.student-performance-bonus",{"title":3930,"path":3931,"stem":3932,"children":3933,"page":59},"Cnn Image Classification","\u002Fai-python\u002Fcnn-image-classification","16.ai-python\u002F15.cnn-image-classification",[3934,3938,3942,3946],{"title":3935,"path":3936,"stem":3937},"Основи згорткових нейронних мереж — чому не MLP?","\u002Fai-python\u002Fcnn-image-classification\u002Fcnn-fundamentals","16.ai-python\u002F15.cnn-image-classification\u002F01.cnn-fundamentals",{"title":3939,"path":3940,"stem":3941},"Практична імплементація CNN для класифікації MNIST","\u002Fai-python\u002Fcnn-image-classification\u002Fmnist-classification","16.ai-python\u002F15.cnn-image-classification\u002F02.mnist-classification",{"title":3943,"path":3944,"stem":3945},"Глибші CNN та аугментація даних для CIFAR-10","\u002Fai-python\u002Fcnn-image-classification\u002Fcifar10-and-data-augmentation","16.ai-python\u002F15.cnn-image-classification\u002F03.cifar10-and-data-augmentation",{"title":3947,"path":3948,"stem":3949},"Transfer Learning та візуалізація внутрішніх представлень CNN","\u002Fai-python\u002Fcnn-image-classification\u002Ftransfer-learning-and-visualization","16.ai-python\u002F15.cnn-image-classification\u002F04.transfer-learning-and-visualization",{"title":3951,"path":3952,"stem":3953,"children":3954,"page":59},"Batching Normalization Deep Networks","\u002Fai-python\u002Fbatching-normalization-deep-networks","16.ai-python\u002F16.batching-normalization-deep-networks",[3955,3959,3963,3967,3971,3975,3979],{"title":3956,"path":3957,"stem":3958},"Mini-batch Gradient Descent та ефективна обробка даних","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent","16.ai-python\u002F16.batching-normalization-deep-networks\u002F01.mini-batch-gradient-descent",{"title":3960,"path":3961,"stem":3962},"Ініціалізація ваг — фундамент стабільного навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fweight-initialization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F02.weight-initialization",{"title":3964,"path":3965,"stem":3966},"Batch Normalization — прорив у глибокому навчанні","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fbatch-normalization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F03.batch-normalization",{"title":3968,"path":3969,"stem":3970},"Dropout та комбіновані стратегії регуляризації","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdropout-and-regularization","16.ai-python\u002F16.batching-normalization-deep-networks\u002F04.dropout-and-regularization",{"title":3972,"path":3973,"stem":3974},"Проєктування глибоких мереж — від теорії до практики","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fdeep-networks-architectures","16.ai-python\u002F16.batching-normalization-deep-networks\u002F05.deep-networks-architectures",{"title":3976,"path":3977,"stem":3978},"Планування learning rate — коли та як зменшувати крок навчання","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Flearning-rate-scheduling","16.ai-python\u002F16.batching-normalization-deep-networks\u002F06.learning-rate-scheduling",{"title":3980,"path":3981,"stem":3982},"Підсумковий проєкт — побудова сучасного класифікатора зображень","\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Ffinal-project-deep-classifier","16.ai-python\u002F16.batching-normalization-deep-networks\u002F07.final-project-deep-classifier",{"title":3984,"icon":658,"path":3985,"stem":3986,"children":3987,"page":59},"Клієнт-серверна архітектура","\u002Fclient-server-architecture","17.client-server-architecture",[3988,3992,3996,4000,4004,4008,4012,4016,4020,4024,4028,4032,4036,4040,4044,4048,4052,4056],{"title":3989,"path":3990,"stem":3991},"Архітектура клієнт-серверних систем та основи Go","\u002Fclient-server-architecture\u002Fclient-server-architecture-and-go","17.client-server-architecture\u002F01.client-server-architecture-and-go",{"title":3993,"path":3994,"stem":3995},"Система типів та модель пам’яті мови Go","\u002Fclient-server-architecture\u002Ftype-system-and-memory-model","17.client-server-architecture\u002F02.type-system-and-memory-model",{"title":3997,"path":3998,"stem":3999},"Інтерфейси та модель конкурентності мови Go","\u002Fclient-server-architecture\u002Finterfaces-and-concurrency-model","17.client-server-architecture\u002F03.interfaces-and-concurrency-model",{"title":4001,"path":4002,"stem":4003},"Сокетне програмування та протокол TCP у Go","\u002Fclient-server-architecture\u002Ftcp-socket-programming","17.client-server-architecture\u002F04.tcp-socket-programming",{"title":4005,"path":4006,"stem":4007},"Протокол UDP та датаграмна передача даних","\u002Fclient-server-architecture\u002Fudp-datagram-transmission","17.client-server-architecture\u002F05.udp-datagram-transmission",{"title":4009,"path":4010,"stem":4011},"Криптографічний захист каналів зв","\u002Fclient-server-architecture\u002Ftls-cryptographic-channel-protection","17.client-server-architecture\u002F06.tls-cryptographic-channel-protection",{"title":4013,"path":4014,"stem":4015},"Прикладні мережеві протоколи DNS та SMTP","\u002Fclient-server-architecture\u002Fdns-smtp-application-protocols","17.client-server-architecture\u002F07.dns-smtp-application-protocols",{"title":4017,"path":4018,"stem":4019},"Протокол HTTP та стандартний вебсервер Go","\u002Fclient-server-architecture\u002Fhttp-protocol-and-web-server","17.client-server-architecture\u002F08.http-protocol-and-web-server",{"title":4021,"path":4022,"stem":4023},"Проєктування REST API та маршрутизація засобами Chi","\u002Fclient-server-architecture\u002Frest-api-design-and-chi-routing","17.client-server-architecture\u002F09.rest-api-design-and-chi-routing",{"title":4025,"path":4026,"stem":4027},"Лекція 10. Шарувата архітектура та конвеєри обробки запитів","\u002Fclient-server-architecture\u002Flayered-architecture-and-middleware-pipelines","17.client-server-architecture\u002F10.layered-architecture-and-middleware-pipelines",{"title":4029,"path":4030,"stem":4031},"Лекція 11. Архітектура та маршрутизація фреймворку Gin","\u002Fclient-server-architecture\u002Fgin-framework-architecture-and-routing","17.client-server-architecture\u002F11.gin-framework-architecture-and-routing",{"title":4033,"path":4034,"stem":4035},"Лекція 12. Валідація даних, безпека та документування у Gin","\u002Fclient-server-architecture\u002Fdata-validation-security-and-documentation-in-gin","17.client-server-architecture\u002F12.data-validation-security-and-documentation-in-gin",{"title":4037,"path":4038,"stem":4039},"Лекція 13. Взаємодія з реляційними СУБД та технології ORM","\u002Fclient-server-architecture\u002Frelational-databases-and-orm","17.client-server-architecture\u002F13.relational-databases-and-orm",{"title":4041,"path":4042,"stem":4043},"Потокова передача даних та протокол WebSocket","\u002Fclient-server-architecture\u002Fstreaming-data-and-websockets","17.client-server-architecture\u002F14.streaming-data-and-websockets",{"title":4045,"path":4046,"stem":4047},"Міжсервісна взаємодія на основі протоколу gRPC","\u002Fclient-server-architecture\u002Fgrpc-inter-service-communication","17.client-server-architecture\u002F15.grpc-inter-service-communication",{"title":4049,"path":4050,"stem":4051},"Асинхронний обмін повідомленнями та протоколи черг","\u002Fclient-server-architecture\u002Fasynchronous-message-exchange-and-queue-protocols","17.client-server-architecture\u002F16.asynchronous-message-exchange-and-queue-protocols",{"title":4053,"path":4054,"stem":4055},"Протоколи потокового медіа та технологія WebRTC","\u002Fclient-server-architecture\u002Fstreaming-media-protocols-and-webrtc","17.client-server-architecture\u002F17.streaming-media-protocols-and-webrtc",{"title":4057,"path":4058,"stem":4059},"Моніторинг, безпека та контейнеризація застосунків","\u002Fclient-server-architecture\u002Fmonitoring-security-and-containerization","17.client-server-architecture\u002F18.monitoring-security-and-containerization",{"title":4061,"icon":2118,"path":4062,"stem":4063,"children":4064,"page":59},"Розробка WEB-застосувань","\u002Fweb-development","18.web-development",[4065,4110,4148,4177,4206,4263,4313,4407,4473,4555,4588,4616,4658,4704,4747],{"title":4066,"icon":658,"path":4067,"stem":4068,"children":4069,"page":59},"Архітектура комп'ютерних мереж та мережеві протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols","18.web-development\u002F01.network-architecture-and-protocols",[4070,4074,4078,4082,4086,4090,4094,4098,4102,4106],{"title":4071,"path":4072,"stem":4073},"Еволюція веброзробки та модель клієнт-сервер","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fweb-evolution-client-server","18.web-development\u002F01.network-architecture-and-protocols\u002F01.web-evolution-client-server",{"title":4075,"path":4076,"stem":4077},"Еталонна модель OSI","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fosi-model","18.web-development\u002F01.network-architecture-and-protocols\u002F02.osi-model",{"title":4079,"path":4080,"stem":4081},"Стек протоколів TCP\u002FIP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-ip-stack","18.web-development\u002F01.network-architecture-and-protocols\u002F03.tcp-ip-stack",{"title":4083,"path":4084,"stem":4085},"IP-адресація, порти та сокети","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fip-addressing-ports-sockets","18.web-development\u002F01.network-architecture-and-protocols\u002F04.ip-addressing-ports-sockets",{"title":4087,"path":4088,"stem":4089},"Протоколи TCP та UDP","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Ftcp-udp-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F05.tcp-udp-protocols",{"title":4091,"path":4092,"stem":4093},"Система доменних імен DNS","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fdns-system","18.web-development\u002F01.network-architecture-and-protocols\u002F06.dns-system",{"title":4095,"path":4096,"stem":4097},"Протокол SMTP та поштові протоколи","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fsmtp-email-protocols","18.web-development\u002F01.network-architecture-and-protocols\u002F07.smtp-email-protocols",{"title":4099,"path":4100,"stem":4101},"Протокол WebSocket","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fwebsocket-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F08.websocket-protocol",{"title":4103,"path":4104,"stem":4105},"Протокол SSH","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fssh-protocol","18.web-development\u002F01.network-architecture-and-protocols\u002F09.ssh-protocol",{"title":4107,"path":4108,"stem":4109},"Огляд сучасних серверних технологій","\u002Fweb-development\u002Fnetwork-architecture-and-protocols\u002Fmodern-backend-technologies","18.web-development\u002F01.network-architecture-and-protocols\u002F10.modern-backend-technologies",{"title":4111,"icon":4112,"path":4113,"stem":4114,"children":4115,"page":59},"Протокол HTTP та захищена передача даних HTTPS","i-lucide-lock","\u002Fweb-development\u002Fhttp-and-https","18.web-development\u002F02.http-and-https",[4116,4120,4124,4128,4132,4136,4140,4144],{"title":4117,"path":4118,"stem":4119},"Вступ до протоколу HTTP та еволюція веб-технологій","\u002Fweb-development\u002Fhttp-and-https\u002Fintroduction-and-evolution","18.web-development\u002F02.http-and-https\u002F01.introduction-and-evolution",{"title":4121,"path":4122,"stem":4123},"Анатомія HTTP-запиту","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-request-structure","18.web-development\u002F02.http-and-https\u002F02.http-request-structure",{"title":4125,"path":4126,"stem":4127},"Анатомія HTTP-відповіді","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-response-structure","18.web-development\u002F02.http-and-https\u002F03.http-response-structure",{"title":4129,"path":4130,"stem":4131},"Методи HTTP та їхня семантика","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-methods","18.web-development\u002F02.http-and-https\u002F04.http-methods",{"title":4133,"path":4134,"stem":4135},"Коди статусу HTTP та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-status-codes","18.web-development\u002F02.http-and-https\u002F05.http-status-codes",{"title":4137,"path":4138,"stem":4139},"HTTP-заголовки та їхнє призначення","\u002Fweb-development\u002Fhttp-and-https\u002Fhttp-headers","18.web-development\u002F02.http-and-https\u002F06.http-headers",{"title":4141,"path":4142,"stem":4143},"CORS та механізми безпеки HTTP","\u002Fweb-development\u002Fhttp-and-https\u002Fcors-and-security","18.web-development\u002F02.http-and-https\u002F07.cors-and-security",{"title":4145,"path":4146,"stem":4147},"HTTPS та криптографічні основи TLS","\u002Fweb-development\u002Fhttp-and-https\u002Fhttps-and-tls","18.web-development\u002F02.http-and-https\u002F08.https-and-tls",{"title":4149,"icon":2498,"path":4150,"stem":4151,"children":4152,"page":59},"Система типів мови TypeScript","\u002Fweb-development\u002Ftypescript-type-system","18.web-development\u002F03.typescript-type-system",[4153,4157,4161,4165,4169,4173],{"title":4154,"path":4155,"stem":4156},"Знайомство з TypeScript Compiler","\u002Fweb-development\u002Ftypescript-type-system\u002Fintroduction-compiler-config","18.web-development\u002F03.typescript-type-system\u002F01.introduction-compiler-config",{"title":4158,"path":4159,"stem":4160},"Примітивні типи даних: string, number, boolean","\u002Fweb-development\u002Ftypescript-type-system\u002Fprimitive-special-types","18.web-development\u002F03.typescript-type-system\u002F02.primitive-special-types",{"title":4162,"path":4163,"stem":4164},"Масиви, кортежі та об","\u002Fweb-development\u002Ftypescript-type-system\u002Farrays-tuples-objects","18.web-development\u002F03.typescript-type-system\u002F03.arrays-tuples-objects",{"title":4166,"path":4167,"stem":4168},"Псевдоніми типів, Union типи, Intersection типи та літеральні типи","\u002Fweb-development\u002Ftypescript-type-system\u002Funion-intersection-literals","18.web-development\u002F03.typescript-type-system\u002F04.union-intersection-literals",{"title":4170,"path":4171,"stem":4172},"Type Narrowing (звуження типів)","\u002Fweb-development\u002Ftypescript-type-system\u002Ftype-narrowing","18.web-development\u002F03.typescript-type-system\u002F05.type-narrowing",{"title":4174,"path":4175,"stem":4176},"Типізація функцій","\u002Fweb-development\u002Ftypescript-type-system\u002Ffunctions-typing","18.web-development\u002F03.typescript-type-system\u002F06.functions-typing",{"title":4178,"icon":2498,"path":4179,"stem":4180,"children":4181,"page":59},"Розширені засоби мови TypeScript","\u002Fweb-development\u002Ftypescript-advanced","18.web-development\u002F04.typescript-advanced",[4182,4186,4190,4194,4198,4202],{"title":4183,"path":4184,"stem":4185},"Interfaces та Classes","\u002Fweb-development\u002Ftypescript-advanced\u002Finterfaces-classes","18.web-development\u002F04.typescript-advanced\u002F01.interfaces-classes",{"title":4187,"path":4188,"stem":4189},"Основи Generic типів","\u002Fweb-development\u002Ftypescript-advanced\u002Fgenerics-fundamentals","18.web-development\u002F04.typescript-advanced\u002F02.generics-fundamentals",{"title":4191,"path":4192,"stem":4193},"Enums та Decorators","\u002Fweb-development\u002Ftypescript-advanced\u002Fenums-decorators","18.web-development\u002F04.typescript-advanced\u002F03.enums-decorators",{"title":4195,"path":4196,"stem":4197},"Utility Types","\u002Fweb-development\u002Ftypescript-advanced\u002Futility-types","18.web-development\u002F04.typescript-advanced\u002F04.utility-types",{"title":4199,"path":4200,"stem":4201},"Mapped та Conditional Types","\u002Fweb-development\u002Ftypescript-advanced\u002Fmapped-conditional-types","18.web-development\u002F04.typescript-advanced\u002F05.mapped-conditional-types",{"title":4203,"path":4204,"stem":4205},"Модулі та Strict Mode","\u002Fweb-development\u002Ftypescript-advanced\u002Fmodules-strict-mode","18.web-development\u002F04.typescript-advanced\u002F06.modules-strict-mode",{"title":4207,"icon":4208,"path":4209,"stem":4210,"children":4211,"page":59},"Платформа Node.js як середовище виконання","i-devicon-nodejs","\u002Fweb-development\u002Fnodejs-platform","18.web-development\u002F05.nodejs-platform",[4212,4216,4220,4224,4228,4232,4236,4240,4244,4248,4252,4255,4259],{"title":4213,"path":4214,"stem":4215},"Що таке Node.js та його архітектура","\u002Fweb-development\u002Fnodejs-platform\u002Fwhat-is-nodejs","18.web-development\u002F05.nodejs-platform\u002F01.what-is-nodejs",{"title":4217,"path":4218,"stem":4219},"Event Loop — серце Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fevent-loop","18.web-development\u002F05.nodejs-platform\u002F02.event-loop",{"title":4221,"path":4222,"stem":4223},"Модульні системи: CommonJS vs ES Modules","\u002Fweb-development\u002Fnodejs-platform\u002Fmodule-systems","18.web-development\u002F05.nodejs-platform\u002F03.module-systems",{"title":4225,"path":4226,"stem":4227},"npm та package.json","\u002Fweb-development\u002Fnodejs-platform\u002Fnpm-package-json","18.web-development\u002F05.nodejs-platform\u002F04.npm-package-json",{"title":4229,"path":4230,"stem":4231},"Глобальні об\\","\u002Fweb-development\u002Fnodejs-platform\u002Fglobal-objects","18.web-development\u002F05.nodejs-platform\u002F05.global-objects",{"title":4233,"path":4234,"stem":4235},"Вбудований модуль fs (File System)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-fs","18.web-development\u002F05.nodejs-platform\u002F06.built-in-modules-fs",{"title":4237,"path":4238,"stem":4239},"Вбудований модуль path","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-path","18.web-development\u002F05.nodejs-platform\u002F07.built-in-modules-path",{"title":4241,"path":4242,"stem":4243},"Вбудований модуль http","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-http","18.web-development\u002F05.nodejs-platform\u002F08.built-in-modules-http",{"title":4245,"path":4246,"stem":4247},"Streams — потоки даних у Node.js","\u002Fweb-development\u002Fnodejs-platform\u002Fstreams","18.web-development\u002F05.nodejs-platform\u002F09.streams",{"title":4249,"path":4250,"stem":4251},"Вбудований модуль util (Utilities)","\u002Fweb-development\u002Fnodejs-platform\u002Fbuilt-in-modules-util","18.web-development\u002F05.nodejs-platform\u002F10.built-in-modules-util",{"title":3141,"path":4253,"stem":4254},"\u002Fweb-development\u002Fnodejs-platform\u002Fenvironment-variables","18.web-development\u002F05.nodejs-platform\u002F11.environment-variables",{"title":4256,"path":4257,"stem":4258},"Інструменти налагодження та розробки","\u002Fweb-development\u002Fnodejs-platform\u002Fdebugging-tools","18.web-development\u002F05.nodejs-platform\u002F12.debugging-tools",{"title":4260,"path":4261,"stem":4262},"Продуктивність та Best Practices","\u002Fweb-development\u002Fnodejs-platform\u002Fperformance-best-practices","18.web-development\u002F05.nodejs-platform\u002F13.performance-best-practices",{"title":4264,"icon":4265,"path":4266,"stem":4267,"children":4268,"page":59},"Асинхронне програмування у Node.js","i-lucide-clock","\u002Fweb-development\u002Fasync-programming-nodejs","18.web-development\u002F06.async-programming-nodejs",[4269,4273,4277,4281,4285,4289,4293,4297,4301,4305,4309],{"title":4270,"path":4271,"stem":4272},"Синхронний vs асинхронний код","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fsync-vs-async","18.web-development\u002F06.async-programming-nodejs\u002F01.sync-vs-async",{"title":4274,"path":4275,"stem":4276},"Callbacks — перша парадигма асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fcallbacks","18.web-development\u002F06.async-programming-nodejs\u002F02.callbacks",{"title":4278,"path":4279,"stem":4280},"Promises — стандарт асинхронності","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromises","18.web-development\u002F06.async-programming-nodejs\u002F03.promises",{"title":4282,"path":4283,"stem":4284},"Promise комбінатори","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fpromise-combinators","18.web-development\u002F06.async-programming-nodejs\u002F04.promise-combinators",{"title":4286,"path":4287,"stem":4288},"Async\u002FAwait — синтаксичний цукор над Promises","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fasync-await","18.web-development\u002F06.async-programming-nodejs\u002F05.async-await",{"title":4290,"path":4291,"stem":4292},"Паралельне vs послідовне виконання","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fparallel-vs-sequential","18.web-development\u002F06.async-programming-nodejs\u002F06.parallel-vs-sequential",{"title":4294,"path":4295,"stem":4296},"EventEmitter — подієва модель Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fevent-emitter","18.web-development\u002F06.async-programming-nodejs\u002F07.event-emitter",{"title":4298,"path":4299,"stem":4300},"Worker Threads — багатопотоковість у Node.js","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fworker-threads","18.web-development\u002F06.async-programming-nodejs\u002F08.worker-threads",{"title":4302,"path":4303,"stem":4304},"Child Processes — запуск зовнішніх процесів","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fchild-processes","18.web-development\u002F06.async-programming-nodejs\u002F09.child-processes",{"title":4306,"path":4307,"stem":4308},"Обробка помилок у асинхронному коді","\u002Fweb-development\u002Fasync-programming-nodejs\u002Ferror-handling","18.web-development\u002F06.async-programming-nodejs\u002F10.error-handling",{"title":4310,"path":4311,"stem":4312},"Порівняння Node.js фреймворків","\u002Fweb-development\u002Fasync-programming-nodejs\u002Fnodejs-frameworks","18.web-development\u002F06.async-programming-nodejs\u002F11.nodejs-frameworks",{"title":4314,"icon":4315,"path":4316,"stem":4317,"children":4318,"page":59},"Тема 7. Фреймворк NestJS. Контролери та маршрутизація","i-lucide-route","\u002Fweb-development\u002Fnestjs-controllers-routing","18.web-development\u002F07.nestjs-controllers-routing",[4319,4323,4327,4331,4335,4339,4343,4347,4351,4355,4359,4363,4367,4371,4375,4379,4383,4387,4391,4395,4399,4403],{"title":4320,"path":4321,"stem":4322},"Філософія та архітектура NestJS","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-philosophy","18.web-development\u002F07.nestjs-controllers-routing\u002F01.nestjs-philosophy",{"title":4324,"path":4325,"stem":4326},"Три стовпи архітектури: модулі, контролери, провайдери","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fthree-pillars","18.web-development\u002F07.nestjs-controllers-routing\u002F02.three-pillars",{"title":4328,"path":4329,"stem":4330},"Інверсія керування (IoC) та ін","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fioc-and-di","18.web-development\u002F07.nestjs-controllers-routing\u002F03.ioc-and-di",{"title":4332,"path":4333,"stem":4334},"Встановлення NestJS CLI та створення проєкту","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-setup","18.web-development\u002F07.nestjs-controllers-routing\u002F04.nestjs-cli-setup",{"title":4336,"path":4337,"stem":4338},"Структура проєкту NestJS та конвенції","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fproject-structure","18.web-development\u002F07.nestjs-controllers-routing\u002F05.project-structure",{"title":4340,"path":4341,"stem":4342},"Контролери: основи маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontrollers-basics","18.web-development\u002F07.nestjs-controllers-routing\u002F06.controllers-basics",{"title":4344,"path":4345,"stem":4346},"Декоратори маршрутизації HTTP-методів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F07.route-decorators",{"title":4348,"path":4349,"stem":4350},"Параметри маршруту та декоратор @Param","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Froute-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F08.route-parameters",{"title":4352,"path":4353,"stem":4354},"Query-параметри та декоратор @Query","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fquery-parameters","18.web-development\u002F07.nestjs-controllers-routing\u002F09.query-parameters",{"title":4356,"path":4357,"stem":4358},"Тіло запиту та декоратор @Body","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-body","18.web-development\u002F07.nestjs-controllers-routing\u002F10.request-body",{"title":4360,"path":4361,"stem":4362},"Робота з заголовками запиту та відповіді","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fheaders-decorators","18.web-development\u002F07.nestjs-controllers-routing\u002F11.headers-decorators",{"title":4364,"path":4365,"stem":4366},"Data Transfer Objects (DTO): визначення та призначення","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fdto-introduction","18.web-development\u002F07.nestjs-controllers-routing\u002F12.dto-introduction",{"title":4368,"path":4369,"stem":4370},"Об'єкти Request та Response","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Frequest-response-objects","18.web-development\u002F07.nestjs-controllers-routing\u002F13.request-response-objects",{"title":4372,"path":4373,"stem":4374},"HTTP-статус коди та декоратор @HttpCode","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fhttp-status-codes","18.web-development\u002F07.nestjs-controllers-routing\u002F14.http-status-codes",{"title":4376,"path":4377,"stem":4378},"Перенаправлення (Redirects) та декоратор @Redirect","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fredirects","18.web-development\u002F07.nestjs-controllers-routing\u002F15.redirects",{"title":4380,"path":4381,"stem":4382},"Асинхронні обробники та Observables","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fasync-handlers","18.web-development\u002F07.nestjs-controllers-routing\u002F16.async-handlers",{"title":4384,"path":4385,"stem":4386},"Маршрутизація за піддоменами та версіонування API","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fsub-domain-routing","18.web-development\u002F07.nestjs-controllers-routing\u002F17.sub-domain-routing",{"title":4388,"path":4389,"stem":4390},"Області видимості контролерів (Scopes)","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcontroller-scopes","18.web-development\u002F07.nestjs-controllers-routing\u002F18.controller-scopes",{"title":4392,"path":4393,"stem":4394},"Основні команди NestJS CLI","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fnestjs-cli-commands","18.web-development\u002F07.nestjs-controllers-routing\u002F19.nestjs-cli-commands",{"title":4396,"path":4397,"stem":4398},"Практичний приклад: створення CRUD-контролера","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fcrud-example","18.web-development\u002F07.nestjs-controllers-routing\u002F20.crud-example",{"title":4400,"path":4401,"stem":4402},"Тестування контролерів","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Ftesting-controllers","18.web-development\u002F07.nestjs-controllers-routing\u002F21.testing-controllers",{"title":4404,"path":4405,"stem":4406},"Best Practices для контролерів та маршрутизації","\u002Fweb-development\u002Fnestjs-controllers-routing\u002Fbest-practices","18.web-development\u002F07.nestjs-controllers-routing\u002F22.best-practices",{"title":4408,"icon":4409,"path":4410,"stem":4411,"children":4412,"page":59},"Тема 8. Провайдери, сервіси та модульна система NestJS","i-lucide-package","\u002Fweb-development\u002Fnestjs-providers-modules","18.web-development\u002F08.nestjs-providers-modules",[4413,4417,4421,4425,4429,4433,4437,4441,4445,4449,4453,4457,4461,4465,4469],{"title":4414,"path":4415,"stem":4416},"Концепція провайдерів у NestJS","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fproviders-concept","18.web-development\u002F08.nestjs-providers-modules\u002F01.providers-concept",{"title":4418,"path":4419,"stem":4420},"Сервіси: інкапсуляція бізнес-логіки","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fservices-business-logic","18.web-development\u002F08.nestjs-providers-modules\u002F02.services-business-logic",{"title":4422,"path":4423,"stem":4424},"Практика ін","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdependency-injection-practice","18.web-development\u002F08.nestjs-providers-modules\u002F03.dependency-injection-practice",{"title":4426,"path":4427,"stem":4428},"Custom Providers: useValue, useClass, useFactory, useExisting","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcustom-providers","18.web-development\u002F08.nestjs-providers-modules\u002F04.custom-providers",{"title":4430,"path":4431,"stem":4432},"Injection Tokens: рядкові та символьні токени","\u002Fweb-development\u002Fnestjs-providers-modules\u002Finjection-tokens","18.web-development\u002F08.nestjs-providers-modules\u002F05.injection-tokens",{"title":4434,"path":4435,"stem":4436},"Опціональні провайдери та декоратор @Optional","\u002Fweb-development\u002Fnestjs-providers-modules\u002Foptional-providers","18.web-development\u002F08.nestjs-providers-modules\u002F07.optional-providers",{"title":4438,"path":4439,"stem":4440},"Структура модулів: imports, controllers, providers, exports","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodules-structure","18.web-development\u002F08.nestjs-providers-modules\u002F08.modules-structure",{"title":4442,"path":4443,"stem":4444},"Feature Modules: ізоляція функціональності","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ffeature-modules","18.web-development\u002F08.nestjs-providers-modules\u002F09.feature-modules",{"title":4446,"path":4447,"stem":4448},"Shared Modules: перевикористання провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fshared-modules","18.web-development\u002F08.nestjs-providers-modules\u002F10.shared-modules",{"title":4450,"path":4451,"stem":4452},"Global Modules та декоратор @Global","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fglobal-modules","18.web-development\u002F08.nestjs-providers-modules\u002F11.global-modules",{"title":4454,"path":4455,"stem":4456},"Dynamic Modules: конфігурація під час виконання","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fdynamic-modules","18.web-development\u002F08.nestjs-providers-modules\u002F12.dynamic-modules",{"title":4458,"path":4459,"stem":4460},"Циклічні залежності та forwardRef","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fcircular-dependencies","18.web-development\u002F08.nestjs-providers-modules\u002F13.circular-dependencies",{"title":4462,"path":4463,"stem":4464},"Lifecycle Hooks: хуки життєвого циклу","\u002Fweb-development\u002Fnestjs-providers-modules\u002Flifecycle-hooks","18.web-development\u002F08.nestjs-providers-modules\u002F14.lifecycle-hooks",{"title":4466,"path":4467,"stem":4468},"ModuleRef: динамічний доступ до провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Fmodule-reference","18.web-development\u002F08.nestjs-providers-modules\u002F15.module-reference",{"title":4470,"path":4471,"stem":4472},"Тестування сервісів та провайдерів","\u002Fweb-development\u002Fnestjs-providers-modules\u002Ftesting-services","18.web-development\u002F08.nestjs-providers-modules\u002F16.testing-services",{"title":4474,"icon":4475,"path":4476,"stem":4477,"children":4478,"page":59},"Тема 9. Валідація даних та конвеєр обробки запитів у NestJS","i-lucide-filter","\u002Fweb-development\u002Fnestjs-validation-pipeline","18.web-development\u002F09.nestjs-validation-pipeline",[4479,4483,4487,4491,4495,4499,4503,4507,4511,4515,4519,4523,4527,4531,4535,4539,4543,4547,4551],{"title":4480,"path":4481,"stem":4482},"Request Pipeline: конвеєр обробки запитів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Frequest-pipeline","18.web-development\u002F09.nestjs-validation-pipeline\u002F01.request-pipeline",{"title":4484,"path":4485,"stem":4486},"Pipes: концепція трансформації та валідації","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipes-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F02.pipes-concept",{"title":4488,"path":4489,"stem":4490},"Вбудовані pipes: ParseIntPipe, ParseBoolPipe, ParseUUIDPipe","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fbuilt-in-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F03.built-in-pipes",{"title":4492,"path":4493,"stem":4494},"ValidationPipe: автоматична валідація DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fvalidation-pipe","18.web-development\u002F09.nestjs-validation-pipeline\u002F04.validation-pipe",{"title":4496,"path":4497,"stem":4498},"Декоратори class-validator для DTO","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fclass-validator-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F05.class-validator-decorators",{"title":4500,"path":4501,"stem":4502},"Створення кастомних валідаторів","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-validators","18.web-development\u002F09.nestjs-validation-pipeline\u002F06.custom-validators",{"title":4504,"path":4505,"stem":4506},"Створення власних Pipes","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-pipes","18.web-development\u002F09.nestjs-validation-pipeline\u002F07.custom-pipes",{"title":4508,"path":4509,"stem":4510},"Основи Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-basics","18.web-development\u002F09.nestjs-validation-pipeline\u002F08.middleware-basics",{"title":4512,"path":4513,"stem":4514},"Практичні приклади Middleware","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fmiddleware-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F09.middleware-examples",{"title":4516,"path":4517,"stem":4518},"Guards: захисні перехоплювачі доступу","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fguards-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F10.guards-concept",{"title":4520,"path":4521,"stem":4522},"Створення кастомних Guards","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-guards","18.web-development\u002F09.nestjs-validation-pipeline\u002F11.custom-guards",{"title":4524,"path":4525,"stem":4526},"Interceptors: перехоплення та трансформація відповідей","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptors-concept","18.web-development\u002F09.nestjs-validation-pipeline\u002F12.interceptors-concept",{"title":4528,"path":4529,"stem":4530},"Практичні приклади Interceptors","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Finterceptor-examples","18.web-development\u002F09.nestjs-validation-pipeline\u002F13.interceptor-examples",{"title":4532,"path":4533,"stem":4534},"Exception Filters: обробка виключень","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F14.exception-filters",{"title":4536,"path":4537,"stem":4538},"Custom Exception Filters: спеціалізовані фільтри","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-exception-filters","18.web-development\u002F09.nestjs-validation-pipeline\u002F15.custom-exception-filters",{"title":4540,"path":4541,"stem":4542},"Execution Context: контекст виконання","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fexecution-context","18.web-development\u002F09.nestjs-validation-pipeline\u002F16.execution-context",{"title":4544,"path":4545,"stem":4546},"Custom Decorators: власні декоратори","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fcustom-decorators","18.web-development\u002F09.nestjs-validation-pipeline\u002F17.custom-decorators",{"title":4548,"path":4549,"stem":4550},"Global Components: глобальні компоненти","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fglobal-components","18.web-development\u002F09.nestjs-validation-pipeline\u002F18.global-components",{"title":4552,"path":4553,"stem":4554},"Pipeline Best Practices: найкращі практики","\u002Fweb-development\u002Fnestjs-validation-pipeline\u002Fpipeline-best-practices","18.web-development\u002F09.nestjs-validation-pipeline\u002F19.pipeline-best-practices",{"title":4556,"icon":2865,"path":4557,"stem":4558,"children":4559,"page":59},"Інтеграція реляційних баз даних засобами TypeORM","\u002Fweb-development\u002Ftypeorm-integration","18.web-development\u002F10.typeorm-integration",[4560,4564,4568,4572,4576,4580,4584],{"title":4561,"path":4562,"stem":4563},"Робота з базами даних у Node.js через нативні драйвери","\u002Fweb-development\u002Ftypeorm-integration\u002F01-nodejs-database-drivers","18.web-development\u002F10.typeorm-integration\u002F01-nodejs-database-drivers",{"title":4565,"path":4566,"stem":4567},"ORM та знайомство з TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F02-orm-and-typeorm-intro","18.web-development\u002F10.typeorm-integration\u002F02-orm-and-typeorm-intro",{"title":4569,"path":4570,"stem":4571},"Налаштування TypeORM у NestJS проєкті","\u002Fweb-development\u002Ftypeorm-integration\u002F03-typeorm-setup-nestjs","18.web-development\u002F10.typeorm-integration\u002F03-typeorm-setup-nestjs",{"title":4573,"path":4574,"stem":4575},"Entity класи та декоратори TypeORM","\u002Fweb-development\u002Ftypeorm-integration\u002F04-entities-and-decorators","18.web-development\u002F10.typeorm-integration\u002F04-entities-and-decorators",{"title":4577,"path":4578,"stem":4579},"Repository Pattern та CRUD операції","\u002Fweb-development\u002Ftypeorm-integration\u002F05-repository-pattern-crud","18.web-development\u002F10.typeorm-integration\u002F05-repository-pattern-crud",{"title":4581,"path":4582,"stem":4583},"Пагінація та фільтрація даних","\u002Fweb-development\u002Ftypeorm-integration\u002F06-pagination-filtering","18.web-development\u002F10.typeorm-integration\u002F06-pagination-filtering",{"title":4585,"path":4586,"stem":4587},"QueryBuilder для складних запитів","\u002Fweb-development\u002Ftypeorm-integration\u002F07-query-builder","18.web-development\u002F10.typeorm-integration\u002F07-query-builder",{"title":4589,"icon":4590,"path":4591,"stem":4592,"children":4593,"page":59},"Зв'язки між сутностями, міграції та оптимізація запитів","i-lucide-git-branch","\u002Fweb-development\u002Fentity-relations-migrations","18.web-development\u002F11.entity-relations-migrations",[4594,4598,4602,4606,4610],{"title":4595,"path":4596,"stem":4597},"Зв'язки One-to-Many та Many-to-One","\u002Fweb-development\u002Fentity-relations-migrations\u002F01-one-to-many-many-to-one","18.web-development\u002F11.entity-relations-migrations\u002F01-one-to-many-many-to-one",{"title":4599,"path":4600,"stem":4601},"Зв'язки One-to-One та Many-to-Many","\u002Fweb-development\u002Fentity-relations-migrations\u002F02-one-to-one-many-to-many","18.web-development\u002F11.entity-relations-migrations\u002F02-one-to-one-many-to-many",{"title":4603,"path":4604,"stem":4605},"Керування міграціями бази даних","\u002Fweb-development\u002Fentity-relations-migrations\u002F03-migrations-management","18.web-development\u002F11.entity-relations-migrations\u002F03-migrations-management",{"title":4607,"path":4608,"stem":4609},"Транзакції у TypeORM","\u002Fweb-development\u002Fentity-relations-migrations\u002F04-transactions","18.web-development\u002F11.entity-relations-migrations\u002F04-transactions",{"title":4611,"path":4612,"stem":4613,"children":4614},"Індекси та оптимізація запитів","\u002Fweb-development\u002Fentity-relations-migrations\u002F05-indexes-optimization","18.web-development\u002F11.entity-relations-migrations\u002F05-indexes-optimization",[4615],{"title":4611,"path":4612,"stem":4613},{"title":4617,"icon":4618,"path":4619,"stem":4620,"children":4621,"page":59},"Механізми автентифікації у вебзастосунках","i-lucide-key","\u002Fweb-development\u002Fauthentication","18.web-development\u002F12.authentication",[4622,4626,4630,4634,4638,4642,4646,4650,4654],{"title":4623,"path":4624,"stem":4625},"Автентифікація vs Авторизація","\u002Fweb-development\u002Fauthentication\u002F01-authentication-vs-authorization","18.web-development\u002F12.authentication\u002F01-authentication-vs-authorization",{"title":4627,"path":4628,"stem":4629},"Стратегії автентифікації","\u002Fweb-development\u002Fauthentication\u002F02-authentication-strategies","18.web-development\u002F12.authentication\u002F02-authentication-strategies",{"title":4631,"path":4632,"stem":4633},"Автентифікація на основі сесій","\u002Fweb-development\u002Fauthentication\u002F03-session-based-authentication","18.web-development\u002F12.authentication\u002F03-session-based-authentication",{"title":4635,"path":4636,"stem":4637},"Структура JSON Web Token (JWT)","\u002Fweb-development\u002Fauthentication\u002F04-jwt-structure","18.web-development\u002F12.authentication\u002F04-jwt-structure",{"title":4639,"path":4640,"stem":4641},"Інтеграція JWT у NestJS","\u002Fweb-development\u002Fauthentication\u002F05-nestjs-jwt-integration","18.web-development\u002F12.authentication\u002F05-nestjs-jwt-integration",{"title":4643,"path":4644,"stem":4645},"Passport.js стратегії у NestJS","\u002Fweb-development\u002Fauthentication\u002F06-passport-strategies","18.web-development\u002F12.authentication\u002F06-passport-strategies",{"title":4647,"path":4648,"stem":4649},"Безпечне зберігання паролів: хешування та криптографічний захист","\u002Fweb-development\u002Fauthentication\u002F07-password-hashing","18.web-development\u002F12.authentication\u002F07-password-hashing",{"title":4651,"path":4652,"stem":4653},"Refresh Token та безпечне оновлення доступу","\u002Fweb-development\u002Fauthentication\u002F08-refresh-tokens","18.web-development\u002F12.authentication\u002F08-refresh-tokens",{"title":4655,"path":4656,"stem":4657},"OAuth 2.0 та OpenID Connect: делегована автентифікація","\u002Fweb-development\u002Fauthentication\u002F09-oauth2-openid","18.web-development\u002F12.authentication\u002F09-oauth2-openid",{"title":4659,"icon":4660,"path":4661,"stem":4662,"children":4663,"page":59},"Авторизація та безпека серверних застосунків","i-lucide-shield","\u002Fweb-development\u002Fauthorization-security","18.web-development\u002F13.authorization-security",[4664,4668,4672,4676,4680,4684,4688,4692,4696,4700],{"title":4665,"path":4666,"stem":4667},"Моделі авторизації","\u002Fweb-development\u002Fauthorization-security\u002F01-authorization-models","18.web-development\u002F13.authorization-security\u002F01-authorization-models",{"title":4669,"path":4670,"stem":4671},"Реалізація RBAC у NestJS","\u002Fweb-development\u002Fauthorization-security\u002F02-rbac-implementation","18.web-development\u002F13.authorization-security\u002F02-rbac-implementation",{"title":4673,"path":4674,"stem":4675},"Permission-Based Access Control","\u002Fweb-development\u002Fauthorization-security\u002F03-permission-based-access","18.web-development\u002F13.authorization-security\u002F03-permission-based-access",{"title":4677,"path":4678,"stem":4679},"ABAC та бібліотека CASL","\u002Fweb-development\u002Fauthorization-security\u002F04-abac-casl","18.web-development\u002F13.authorization-security\u002F04-abac-casl",{"title":4681,"path":4682,"stem":4683},"Кастомні декоратори та метадані","\u002Fweb-development\u002Fauthorization-security\u002F05-custom-decorators-metadata","18.web-development\u002F13.authorization-security\u002F05-custom-decorators-metadata",{"title":4685,"path":4686,"stem":4687},"Конфігурація CORS","\u002Fweb-development\u002Fauthorization-security\u002F06-cors-configuration","18.web-development\u002F13.authorization-security\u002F06-cors-configuration",{"title":4689,"path":4690,"stem":4691},"Захист через HTTP Security Headers (Helmet)","\u002Fweb-development\u002Fauthorization-security\u002F07-helmet-security-headers","18.web-development\u002F13.authorization-security\u002F07-helmet-security-headers",{"title":4693,"path":4694,"stem":4695},"Rate Limiting та Throttling","\u002Fweb-development\u002Fauthorization-security\u002F08-rate-limiting-throttling","18.web-development\u002F13.authorization-security\u002F08-rate-limiting-throttling",{"title":4697,"path":4698,"stem":4699},"Захист від поширених атак","\u002Fweb-development\u002Fauthorization-security\u002F09-common-attacks-protection","18.web-development\u002F13.authorization-security\u002F09-common-attacks-protection",{"title":4701,"path":4702,"stem":4703},"HTTPS у продакшені","\u002Fweb-development\u002Fauthorization-security\u002F10-https-production","18.web-development\u002F13.authorization-security\u002F10-https-production",{"title":4705,"icon":871,"path":4706,"stem":4707,"children":4708,"page":59},"Комунікація у реальному часі, нотифікації та фонові задачі","\u002Fweb-development\u002Frealtime-notifications-jobs","18.web-development\u002F14.realtime-notifications-jobs",[4709,4713,4717,4721,4725,4729,4732,4735,4739,4743],{"title":4710,"path":4711,"stem":4712},"Методи комунікації у реальному часі","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F01-realtime-communication-methods","18.web-development\u002F14.realtime-notifications-jobs\u002F01-realtime-communication-methods",{"title":4714,"path":4715,"stem":4716},"WebSocket Gateway у NestJS","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F02-websocket-gateway","18.web-development\u002F14.realtime-notifications-jobs\u002F02-websocket-gateway",{"title":4718,"path":4719,"stem":4720},"Lifecycle та Rooms у WebSocket","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F03-websocket-lifecycle-rooms","18.web-development\u002F14.realtime-notifications-jobs\u002F03-websocket-lifecycle-rooms",{"title":4722,"path":4723,"stem":4724},"Server-Sent Events (SSE)","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F04-server-sent-events","18.web-development\u002F14.realtime-notifications-jobs\u002F04-server-sent-events",{"title":4726,"path":4727,"stem":4728},"Архітектура системи нотифікацій","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F05-notification-system","18.web-development\u002F14.realtime-notifications-jobs\u002F05-notification-system",{"title":904,"path":4730,"stem":4731},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F06-email-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F06-email-notifications",{"title":900,"path":4733,"stem":4734},"\u002Fweb-development\u002Frealtime-notifications-jobs\u002F07-web-push-notifications","18.web-development\u002F14.realtime-notifications-jobs\u002F07-web-push-notifications",{"title":4736,"path":4737,"stem":4738},"Фонові задачі та черги","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F08-background-jobs-queues","18.web-development\u002F14.realtime-notifications-jobs\u002F08-background-jobs-queues",{"title":4740,"path":4741,"stem":4742},"Планувальники та Cron jobs","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F09-schedulers-cron","18.web-development\u002F14.realtime-notifications-jobs\u002F09-schedulers-cron",{"title":4744,"path":4745,"stem":4746},"Практичні сценарії застосування","\u002Fweb-development\u002Frealtime-notifications-jobs\u002F10-practical-scenarios","18.web-development\u002F14.realtime-notifications-jobs\u002F10-practical-scenarios",{"title":4748,"icon":4749,"path":4750,"stem":4751,"children":4752,"page":59},"Тестування, документування та розгортання застосунків","i-lucide-rocket","\u002Fweb-development\u002Ftesting-documentation-deployment","18.web-development\u002F15.testing-documentation-deployment",[4753,4757,4761,4765,4769,4773,4777,4781,4785,4789],{"title":4754,"path":4755,"stem":4756},"Піраміда тестування та стратегія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F01-testing-pyramid-strategy","18.web-development\u002F15.testing-documentation-deployment\u002F01-testing-pyramid-strategy",{"title":4758,"path":4759,"stem":4760},"Основи Jest у NestJS","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F02-jest-nestjs-basics","18.web-development\u002F15.testing-documentation-deployment\u002F02-jest-nestjs-basics",{"title":4762,"path":4763,"stem":4764},"Unit-тестування сервісів","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F03-unit-testing-services","18.web-development\u002F15.testing-documentation-deployment\u002F03-unit-testing-services",{"title":4766,"path":4767,"stem":4768},"E2E тестування та покриття коду","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F04-e2e-testing-coverage","18.web-development\u002F15.testing-documentation-deployment\u002F04-e2e-testing-coverage",{"title":4770,"path":4771,"stem":4772},"Swagger, OpenAPI, Scalar та Arazzo","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F05-swagger-openapi","18.web-development\u002F15.testing-documentation-deployment\u002F05-swagger-openapi",{"title":4774,"path":4775,"stem":4776},"Керування конфігурацією","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F06-configuration-management","18.web-development\u002F15.testing-documentation-deployment\u002F06-configuration-management",{"title":4778,"path":4779,"stem":4780},"Docker та контейнеризація","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F07-docker-containerization","18.web-development\u002F15.testing-documentation-deployment\u002F07-docker-containerization",{"title":4782,"path":4783,"stem":4784},"CI\u002FCD Pipelines","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F08-cicd-pipelines","18.web-development\u002F15.testing-documentation-deployment\u002F08-cicd-pipelines",{"title":4786,"path":4787,"stem":4788},"Логування та моніторинг","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F09-logging-monitoring","18.web-development\u002F15.testing-documentation-deployment\u002F09-logging-monitoring",{"title":4790,"path":4791,"stem":4792},"Серіалізація та компресія","\u002Fweb-development\u002Ftesting-documentation-deployment\u002F10-serialization-compression","18.web-development\u002F15.testing-documentation-deployment\u002F10-serialization-compression",{"title":4794,"icon":4795,"path":4796,"stem":4797,"children":4798,"page":59},"AI Core: мислення AI","i-lucide-brain","\u002Fai-core","19.ai-core",[4799,4840,4889,4927],{"title":4800,"icon":4749,"path":4801,"stem":4802,"children":4803,"page":59},"Вхід у професію AI Native Developer","\u002Fai-core\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer",[4804,4808,4812,4816,4820,4824,4828,4832,4836],{"title":4805,"path":4806,"stem":4807},"Вступ до професії розробника цифрових продуктів","\u002Fai-core\u002Fai-native-developer\u002Fdigital-products","19.ai-core\u002F01.ai-native-developer\u002F01.digital-products",{"title":4809,"path":4810,"stem":4811},"Професія розробника програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fsoftware-developer","19.ai-core\u002F01.ai-native-developer\u002F02.software-developer",{"title":4813,"path":4814,"stem":4815},"Професія AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fai-native-developer","19.ai-core\u002F01.ai-native-developer\u002F03.ai-native-developer",{"title":4817,"path":4818,"stem":4819},"Вплив AI на розробку програмного забезпечення","\u002Fai-core\u002Fai-native-developer\u002Fai-impact-on-development","19.ai-core\u002F01.ai-native-developer\u002F04.ai-impact-on-development",{"title":4821,"path":4822,"stem":4823},"Життєвий цикл цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fproduct-lifecycle","19.ai-core\u002F01.ai-native-developer\u002F05.product-lifecycle",{"title":4825,"path":4826,"stem":4827},"Застосування AI на етапах створення цифрового продукту","\u002Fai-core\u002Fai-native-developer\u002Fai-in-product-creation","19.ai-core\u002F01.ai-native-developer\u002F06.ai-in-product-creation",{"title":4829,"path":4830,"stem":4831},"Розподіл завдань між людиною та AI","\u002Fai-core\u002Fai-native-developer\u002Fhuman-vs-ai-tasks","19.ai-core\u002F01.ai-native-developer\u002F07.human-vs-ai-tasks",{"title":4833,"path":4834,"stem":4835},"Компетенції AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcompetencies","19.ai-core\u002F01.ai-native-developer\u002F08.competencies",{"title":4837,"path":4838,"stem":4839},"Карта професійного розвитку AI Native Developer","\u002Fai-core\u002Fai-native-developer\u002Fcareer-roadmap","19.ai-core\u002F01.ai-native-developer\u002F09.career-roadmap",{"title":4841,"icon":255,"path":4842,"stem":4843,"children":4844,"page":59},"Штучний інтелект і машинне навчання","\u002Fai-core\u002Fai-and-machine-learning","19.ai-core\u002F02.ai-and-machine-learning",[4845,4849,4853,4857,4861,4865,4869,4873,4877,4881,4885],{"title":4846,"path":4847,"stem":4848},"Штучний інтелект","\u002Fai-core\u002Fai-and-machine-learning\u002Fwhat-is-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F01.what-is-ai",{"title":4850,"path":4851,"stem":4852},"Відмінність AI від інших програмних систем","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-vs-automation","19.ai-core\u002F02.ai-and-machine-learning\u002F02.ai-vs-automation",{"title":4854,"path":4855,"stem":4856},"Завдання штучного інтелекту","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-tasks","19.ai-core\u002F02.ai-and-machine-learning\u002F03.ai-tasks",{"title":4858,"path":4859,"stem":4860},"Machine Learning","\u002Fai-core\u002Fai-and-machine-learning\u002Fmachine-learning","19.ai-core\u002F02.ai-and-machine-learning\u002F04.machine-learning",{"title":4862,"path":4863,"stem":4864},"Machine Learning Workflow","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-workflow","19.ai-core\u002F02.ai-and-machine-learning\u002F05.ml-workflow",{"title":4866,"path":4867,"stem":4868},"Типи машинного навчання","\u002Fai-core\u002Fai-and-machine-learning\u002Fml-types","19.ai-core\u002F02.ai-and-machine-learning\u002F06.ml-types",{"title":4870,"path":4871,"stem":4872},"Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fgenerative-ai","19.ai-core\u002F02.ai-and-machine-learning\u002F07.generative-ai",{"title":4874,"path":4875,"stem":4876},"Типи контенту, створюваного AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fai-content-types","19.ai-core\u002F02.ai-and-machine-learning\u002F08.ai-content-types",{"title":4878,"path":4879,"stem":4880},"Великі мовні моделі","\u002Fai-core\u002Fai-and-machine-learning\u002Flarge-language-models","19.ai-core\u002F02.ai-and-machine-learning\u002F09.large-language-models",{"title":4882,"path":4883,"stem":4884},"Можливості та обмеження Generative AI","\u002Fai-core\u002Fai-and-machine-learning\u002Fcapabilities-and-limitations","19.ai-core\u002F02.ai-and-machine-learning\u002F10.capabilities-and-limitations",{"title":4886,"path":4887,"stem":4888},"Сучасні AI-асистенти","\u002Fai-core\u002Fai-and-machine-learning\u002Fmodern-ai-assistants","19.ai-core\u002F02.ai-and-machine-learning\u002F11.modern-ai-assistants",{"title":4890,"icon":4891,"path":4892,"stem":4893,"children":4894,"page":59},"Постановка завдань для AI: принципи створення промптів","i-lucide-message-square-text","\u002Fai-core\u002Fprompt-engineering","19.ai-core\u002F03.prompt-engineering",[4895,4899,4903,4907,4911,4915,4919,4923],{"title":4896,"path":4897,"stem":4898},"Промпт як інструмент","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-as-tool","19.ai-core\u002F03.prompt-engineering\u002F01.prompt-as-tool",{"title":4900,"path":4901,"stem":4902},"Принципи створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-principles","19.ai-core\u002F03.prompt-engineering\u002F02.prompt-principles",{"title":4904,"path":4905,"stem":4906},"Структура промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-structure","19.ai-core\u002F03.prompt-engineering\u002F03.prompt-structure",{"title":4908,"path":4909,"stem":4910},"Види промптів за типом задачі","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-types","19.ai-core\u002F03.prompt-engineering\u002F04.prompt-types",{"title":4912,"path":4913,"stem":4914},"Прийоми посилення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-enhancement","19.ai-core\u002F03.prompt-engineering\u002F05.prompt-enhancement",{"title":4916,"path":4917,"stem":4918},"Розбір і покращення промпта","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-analysis","19.ai-core\u002F03.prompt-engineering\u002F06.prompt-analysis",{"title":4920,"path":4921,"stem":4922},"Типові помилки під час створення промптів","\u002Fai-core\u002Fprompt-engineering\u002Fcommon-mistakes","19.ai-core\u002F03.prompt-engineering\u002F07.common-mistakes",{"title":4924,"path":4925,"stem":4926},"Практикум: особиста бібліотека промптів","\u002Fai-core\u002Fprompt-engineering\u002Fprompt-library","19.ai-core\u002F03.prompt-engineering\u002F08.prompt-library",{"title":4928,"icon":793,"path":4929,"stem":4930,"children":4931,"page":59},"Перевірка результатів, безпека та AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow","19.ai-core\u002F04.verification-security-workflow",[4932,4936,4940,4944,4948,4952,4956,4960,4964],{"title":4933,"path":4934,"stem":4935},"Межі можливостей AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-limitations","19.ai-core\u002F04.verification-security-workflow\u002F01.ai-limitations",{"title":4937,"path":4938,"stem":4939},"Галюцинації AI","\u002Fai-core\u002Fverification-security-workflow\u002Fai-hallucinations","19.ai-core\u002F04.verification-security-workflow\u002F02.ai-hallucinations",{"title":4941,"path":4942,"stem":4943},"Критичне мислення під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fcritical-thinking","19.ai-core\u002F04.verification-security-workflow\u002F03.critical-thinking",{"title":4945,"path":4946,"stem":4947},"Перевірка результатів роботи AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresult-verification","19.ai-core\u002F04.verification-security-workflow\u002F04.result-verification",{"title":4949,"path":4950,"stem":4951},"Захист даних під час роботи з AI","\u002Fai-core\u002Fverification-security-workflow\u002Fdata-protection","19.ai-core\u002F04.verification-security-workflow\u002F05.data-protection",{"title":4953,"path":4954,"stem":4955},"Авторське право та навчальна доброчесність","\u002Fai-core\u002Fverification-security-workflow\u002Fcopyright-integrity","19.ai-core\u002F04.verification-security-workflow\u002F06.copyright-integrity",{"title":4957,"path":4958,"stem":4959},"Відповідальне використання AI","\u002Fai-core\u002Fverification-security-workflow\u002Fresponsible-use","19.ai-core\u002F04.verification-security-workflow\u002F07.responsible-use",{"title":4961,"path":4962,"stem":4963},"AI Native Workflow","\u002Fai-core\u002Fverification-security-workflow\u002Fai-native-workflow","19.ai-core\u002F04.verification-security-workflow\u002F08.ai-native-workflow",{"title":4965,"path":4966,"stem":4967},"Застосування AI Native Workflow під час створення цифрового продукту","\u002Fai-core\u002Fverification-security-workflow\u002Fworkflow-in-practice","19.ai-core\u002F04.verification-security-workflow\u002F09.workflow-in-practice",{"title":4969,"icon":4970,"path":4971,"stem":4972,"children":4973,"page":59},"AI Developer: Vibe Coding Sprint","i-lucide-code-xml","\u002Fai-developer","20.ai-developer",[4974,5000,5022,5043],{"title":4975,"icon":4976,"path":4977,"stem":4978,"children":4979,"page":59},"Проєктування і чорнова версія","i-lucide-pencil-ruler","\u002Fai-developer\u002Fdraft-creation","20.ai-developer\u002F01.draft-creation",[4980,4984,4988,4992,4996],{"title":4981,"path":4982,"stem":4983},"Парадигма Vibe Coding Workflow","\u002Fai-developer\u002Fdraft-creation\u002Fvibe-coding-workflow","20.ai-developer\u002F01.draft-creation\u002F01.vibe-coding-workflow",{"title":4985,"path":4986,"stem":4987},"AI-середовище швидкої розробки","\u002Fai-developer\u002Fdraft-creation\u002Fai-ide-environment","20.ai-developer\u002F01.draft-creation\u002F02.ai-ide-environment",{"title":4989,"path":4990,"stem":4991},"Користувацьке завдання та межі першої версії","\u002Fai-developer\u002Fdraft-creation\u002Fproduct-scope-and-mvp","20.ai-developer\u002F01.draft-creation\u002F03.product-scope-and-mvp",{"title":4993,"path":4994,"stem":4995},"Архітектура інтерфейсу та стани застосунку","\u002Fai-developer\u002Fdraft-creation\u002Fapplication-architecture-and-states","20.ai-developer\u002F01.draft-creation\u002F04.application-architecture-and-states",{"title":4997,"path":4998,"stem":4999},"Генерація та фіксація чорнової версії","\u002Fai-developer\u002Fdraft-creation\u002Fgenerating-draft-version","20.ai-developer\u002F01.draft-creation\u002F05.generating-draft-version",{"title":5001,"icon":5002,"path":5003,"stem":5004,"children":5005,"page":59},"Перша робоча версія","i-lucide-play-circle","\u002Fai-developer\u002Ffirst-working-version","20.ai-developer\u002F02.first-working-version",[5006,5010,5014,5018],{"title":5007,"path":5008,"stem":5009},"Уточнення контексту проєкту для AI","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-project-context","20.ai-developer\u002F02.first-working-version\u002F01.refining-project-context",{"title":5011,"path":5012,"stem":5013},"Стратегія завдань для AI-розробки","\u002Fai-developer\u002Ffirst-working-version\u002Fai-prompting-strategy","20.ai-developer\u002F02.first-working-version\u002F02.ai-prompting-strategy",{"title":5015,"path":5016,"stem":5017},"Доопрацювання до першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Frefining-to-working-version","20.ai-developer\u002F02.first-working-version\u002F03.refining-to-working-version",{"title":5019,"path":5020,"stem":5021},"Перевірка першої робочої версії","\u002Fai-developer\u002Ffirst-working-version\u002Ftesting-first-working-version","20.ai-developer\u002F02.first-working-version\u002F04.testing-first-working-version",{"title":5023,"icon":3072,"path":5024,"stem":5025,"children":5026,"page":59},"Ітерації, дебагінг та відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery","20.ai-developer\u002F03.iteration-debugging-recovery",[5027,5031,5035,5039],{"title":5028,"path":5029,"stem":5030},"Управління точковими змінами продукту","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fchange-management","20.ai-developer\u002F03.iteration-debugging-recovery\u002F01.change-management",{"title":5032,"path":5033,"stem":5034},"Надійність інтерфейсу та обробка помилок","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fscenario-reliability-and-errors","20.ai-developer\u002F03.iteration-debugging-recovery\u002F02.scenario-reliability-and-errors",{"title":5036,"path":5037,"stem":5038},"Керування контекстом і збереження версій","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fproject-context-and-versions","20.ai-developer\u002F03.iteration-debugging-recovery\u002F03.project-context-and-versions",{"title":5040,"path":5041,"stem":5042},"Збої AI-розробки, ліміти та аварійне відновлення","\u002Fai-developer\u002Fiteration-debugging-recovery\u002Fai-breakdowns-and-recovery","20.ai-developer\u002F03.iteration-debugging-recovery\u002F04.ai-breakdowns-and-recovery",{"title":5044,"icon":5045,"path":5046,"stem":5047,"children":5048,"page":59},"Перевірка та завершення продукту","i-lucide-check-check","\u002Fai-developer\u002Fverification-and-completion","20.ai-developer\u002F04.verification-and-completion",[5049,5053,5057],{"title":5050,"path":5051,"stem":5052},"Комплексний аудит та підсумкове тестування","\u002Fai-developer\u002Fverification-and-completion\u002Ffinal-product-testing","20.ai-developer\u002F04.verification-and-completion\u002F01.final-product-testing",{"title":5054,"path":5055,"stem":5056},"Підготовка підсумкової версії коду","\u002Fai-developer\u002Fverification-and-completion\u002Fpreparing-release-version","20.ai-developer\u002F04.verification-and-completion\u002F02.preparing-release-version",{"title":5058,"path":5059,"stem":5060},"Демонстрація, публікація та критерії оцінювання","\u002Fai-developer\u002Fverification-and-completion\u002Fproduct-showcase-and-publishing","20.ai-developer\u002F04.verification-and-completion\u002F03.product-showcase-and-publishing",{"title":5062,"path":5063,"stem":5064,"children":5065,"page":59},"Tailwind","\u002Ftailwind","21.tailwind",[5066,5070,5074,5078,5082,5086,5090,5094,5098,5102,5106,5110],{"title":5067,"path":5068,"stem":5069},"Що таке Tailwind CSS і навіщо він потрібен","\u002Ftailwind\u002Ftailwind-intro-philosophy","21.tailwind\u002F01.tailwind-intro-philosophy",{"title":5071,"path":5072,"stem":5073},"Встановлення та налаштування Tailwind CSS v4","\u002Ftailwind\u002Ftailwind-installation-setup","21.tailwind\u002F02.tailwind-installation-setup",{"title":5075,"path":5076,"stem":5077},"Utility-класи: основи та система Tailwind","\u002Ftailwind\u002Ftailwind-utility-classes-core","21.tailwind\u002F03.tailwind-utility-classes-core",{"title":5079,"path":5080,"stem":5081},"Layout: Flexbox та Grid через Tailwind","\u002Ftailwind\u002Ftailwind-flexbox-grid","21.tailwind\u002F04.tailwind-flexbox-grid",{"title":5083,"path":5084,"stem":5085},"Кастомізація теми через @theme у Tailwind v4","\u002Ftailwind\u002Ftailwind-theme-customization","21.tailwind\u002F05.tailwind-theme-customization",{"title":5087,"path":5088,"stem":5089},"Варіанти: hover, focus, responsive, dark mode та нові v4","\u002Ftailwind\u002Ftailwind-variants-states","21.tailwind\u002F06.tailwind-variants-states",{"title":5091,"path":5092,"stem":5093},"Типографіка та система кольорів у Tailwind v4","\u002Ftailwind\u002Ftailwind-typography-colors","21.tailwind\u002F07.tailwind-typography-colors",{"title":5095,"path":5096,"stem":5097},"Компоненти та повторюваність: @apply, @utility та патерни","\u002Ftailwind\u002Ftailwind-components-patterns","21.tailwind\u002F08.tailwind-components-patterns",{"title":5099,"path":5100,"stem":5101},"Темна тема та система дизайн-токенів у Tailwind v4","\u002Ftailwind\u002Ftailwind-dark-mode-theming","21.tailwind\u002F09.tailwind-dark-mode-theming",{"title":5103,"path":5104,"stem":5105},"Довільні значення та контейнерні запити у Tailwind v4","\u002Ftailwind\u002Ftailwind-arbitrary-container-queries","21.tailwind\u002F10.tailwind-arbitrary-container-queries",{"title":5107,"path":5108,"stem":5109},"Анімації, трансформації та 3D у Tailwind v4","\u002Ftailwind\u002Ftailwind-animations-transforms","21.tailwind\u002F11.tailwind-animations-transforms",{"title":5111,"path":5112,"stem":5113},"Tailwind CLI, PostCSS та інтеграція з фреймворками","\u002Ftailwind\u002Ftailwind-cli-tooling","21.tailwind\u002F12.tailwind-cli-tooling",{"title":5115,"path":5116,"stem":5117,"children":5118,"page":59},"React Typescript","\u002Freact-typescript","22.react-typescript",[5119,5144,5148,5152,5156,5160,5164,5168,5172],{"title":5120,"path":5121,"stem":5122,"children":5123,"page":59},"From Html To Project","\u002Freact-typescript\u002Ffrom-html-to-project","22.react-typescript\u002F01.from-html-to-project",[5124,5128,5132,5136,5140],{"title":5125,"path":5126,"stem":5127},"Від одного HTML-файлу до повноцінного проєкту","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fevolution","22.react-typescript\u002F01.from-html-to-project\u002F01.evolution",{"title":5129,"path":5130,"stem":5131},"Що таке React","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fwhat-is-react","22.react-typescript\u002F01.from-html-to-project\u002F02.what-is-react",{"title":5133,"path":5134,"stem":5135},"JSX та TSX — синтаксичний цукор, а не магія","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-tsx-syntax","22.react-typescript\u002F01.from-html-to-project\u002F03.jsx-tsx-syntax",{"title":5137,"path":5138,"stem":5139},"Компоненти — будівельні блоки інтерфейсу","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fcomponents","22.react-typescript\u002F01.from-html-to-project\u002F04.components",{"title":5141,"path":5142,"stem":5143},"JSX — розмітка всередині TypeScript","\u002Freact-typescript\u002Ffrom-html-to-project\u002Fjsx-expressions","22.react-typescript\u002F01.from-html-to-project\u002F05.jsx-expressions",{"title":5145,"path":5146,"stem":5147},"Хук useReducer: структуроване управління складним станом","\u002Freact-typescript\u002Fuse-reducer","22.react-typescript\u002F23.use-reducer",{"title":5149,"path":5150,"stem":5151},"Context API: передавання даних без «пропс-дрілінгу»","\u002Freact-typescript\u002Fcontext-api","22.react-typescript\u002F24.context-api",{"title":5153,"path":5154,"stem":5155},"Синхронізація з ефектами: хук useEffect та функції очищення","\u002Freact-typescript\u002Fuse-effect","22.react-typescript\u002F27.use-effect",{"title":5157,"path":5158,"stem":5159},"Можливо, вам не потрібен ефект: антипатерни та альтернативи","\u002Freact-typescript\u002Fyou-might-not-need-effect","22.react-typescript\u002F28.you-might-not-need-effect",{"title":5161,"path":5162,"stem":5163},"Життєвий цикл реактивних ефектів: мислення процесами синхронізації","\u002Freact-typescript\u002Flifecycle-of-reactive-effects","22.react-typescript\u002F29.lifecycle-of-reactive-effects",{"title":5165,"path":5166,"stem":5167},"Розділення подій та ефектів: реактивна проти нереактивної логіки","\u002Freact-typescript\u002Fseparating-events-from-effects","22.react-typescript\u002F30.separating-events-from-effects",{"title":5169,"path":5170,"stem":5171},"Видалення зайвих залежностей ефектів та оптимізація синхронізації","\u002Freact-typescript\u002Fremoving-effect-dependencies","22.react-typescript\u002F31.removing-effect-dependencies",{"title":5173,"path":5174,"stem":5175},"Кастомні хуки: повторне використання та композиція реактивної логіки","\u002Freact-typescript\u002Fcustom-hooks","22.react-typescript\u002F32.custom-hooks",{"title":5177,"path":5178,"stem":5179},"Тестування компонентів діаграм та пісочниць","\u002Ftest-components","98.test-components",{"id":5181,"title":3956,"body":5182,"description":13779,"extension":13780,"links":13781,"meta":13782,"navigation":5566,"path":3957,"seo":13783,"stem":3958,"__hash__":13784},"docs\u002F16.ai-python\u002F16.batching-normalization-deep-networks\u002F01.mini-batch-gradient-descent.md",{"type":5183,"value":5184,"toc":13740},"minimark",[5185,5190,5199,5202,5225,5232,5235,5251,5263,5265,5276,5288,5358,5361,5365,5377,5382,5385,5388,5391,5418,5422,5437,5440,5447,5450,5453,5477,5499,5501,5505,5508,5512,5522,5712,5717,5771,5776,5799,5804,5828,5843,5845,5849,5857,5866,5869,5872,5875,5880,5936,5941,5969,5974,6339,6343,6347,6355,6357,6362,6373,6387,6389,6393,6396,7513,7522,8232,8936,8938,8974,8976,8980,8987,8991,9000,9104,9857,9895,9899,9902,10480,11026,11028,11085,11087,11091,11101,11849,12544,12550,12897,12899,12921,12923,12927,12934,12972,12981,12983,12998,13000,13004,13007,13386,13436,13438,13442,13445,13713,13727,13729,13736],[5186,5187,5189],"h2",{"id":5188},"від-теорії-до-практики-коли-датасет-не-поміщається-в-память","Від теорії до практики — коли датасет не поміщається в пам'ять",[5191,5192,5193,5194,5198],"p",{},"У попередніх розділах ми побудували згорткові нейронні мережі, навчили їх розпізнавати зображення та досягли чудових результатів на датасетах MNIST та CIFAR-10. Але всі наші експерименти об'єднувала одна тиха передумова: ",[5195,5196,5197],"strong",{},"ми завантажували весь датасет у пам'ять одразу",". Це працювало, бо MNIST містить 60 000 зображень 28×28 пікселів (близько 180 МБ), а CIFAR-10 — 50 000 зображень 32×32×3 (близько 170 МБ). Такі обсяги легко вміщуються в оперативну пам'ять сучасного ноутбука.",[5191,5200,5201],{},"Але уявіть, що ви працюєте над реальним промисловим проєктом:",[5203,5204,5205],"card-group",{},[5206,5207,5210,5221],"card",{"icon":5208,"title":5209},"i-lucide-heart-pulse","🏥 Медична діагностика",[5191,5211,5212,5213,5216,5217,5220],{},"Датасет рентгенівських знімків легень для виявлення пневмонії містить ",[5195,5214,5215],{},"500 000 зображень"," у роздільності ",[5195,5218,5219],{},"2048×2048 пікселів",". Кожне зображення у форматі float32 займає:",[5222,5223],"math-formula",{"tex":5224},"2048 \\times 2048 \\times 1 \\times 4 \\text{ байти} = 16.8 \\text{ МБ}",[5191,5226,5227,5228,5231],{},"Весь датасет: ",[5195,5229,5230],{},"8.4 терабайти",". Навіть сервер з 256 ГБ RAM не впорається.",[5191,5233,5234],{},"::",[5206,5236,5239,5240,5216,5243,5246,5247,5250],{"icon":5237,"title":5238},"i-lucide-car","🚗 Автономне водіння","Навчальний датасет відеозаписів доріг містить ",[5195,5241,5242],{},"10 мільйонів кадрів",[5195,5244,5245],{},"1920×1080×3"," (Full HD). Один батч із 32 кадрів займає близько ",[5195,5248,5249],{},"750 МБ"," у пам'яті GPU. Завантажити весь датасет фізично неможливо.",[5206,5252,5254,5255,5258,5259,5262],{"icon":2118,"title":5253},"🌐 Обробка природної мови","Корпус текстів Wikipedia англійською мовою містить ",[5195,5256,5257],{},"6.5 мільйонів статей",". Після токенізації та створення ембедінгів датасет займає ",[5195,5260,5261],{},"понад 50 ГБ",". Модель навчається днями, тому ефективне завантаження даних критичне для швидкості.",[5191,5264,5234],{},[5191,5266,5267,5268,5271,5272,5275],{},"У всіх цих випадках неможливо завантажити датасет повністю. Більше того, навіть якщо б це було можливо, ",[5195,5269,5270],{},"це неефективно",". Сучасні GPU мають пам'ять 8-24 ГБ, а тренувальні датасети займають сотні гігабайт. Нам потрібен спосіб ",[5195,5273,5274],{},"поступово подавати дані в мережу невеликими порціями",", не втрачаючи при цьому ефективності навчання.",[5191,5277,5278,5279,5282,5283,5287],{},"Саме це завдання розв'язує ",[5195,5280,5281],{},"Mini-batch Gradient Descent"," (",[5284,5285,5286],"em",{},"міні-батч градієнтний спуск",") — золота середина між ідеалістичною теорією та суворою реальністю обмежених обчислювальних ресурсів.",[5203,5289,5290,5317],{},[5206,5291,5294],{"icon":5292,"title":5293},"i-lucide-target","🎯 Мета статті",[5295,5296,5297,5301,5304,5311,5314],"ul",{},[5298,5299,5300],"li",{},"Зрозуміти обмеження класичного градієнтного спуску для великих датасетів",[5298,5302,5303],{},"Опанувати три підходи до обчислення градієнта: Batch GD, Stochastic GD та Mini-batch GD",[5298,5305,5306,5307],{},"Навчитися ефективно завантажувати дані через PyTorch ",[5308,5309,5310],"code",{},"DataLoader",[5298,5312,5313],{},"Дослідити вплив розміру батчу на швидкість навчання, стабільність та якість моделі",[5298,5315,5316],{},"Розібратися у термінології: epoch, iteration, batch та їх взаємозв'язку",[5206,5318,5320],{"icon":4618,"title":5319},"🔑 Ключові терміни",[5295,5321,5322,5328,5334,5340,5346,5352],{},[5298,5323,5324,5327],{},[5195,5325,5326],{},"Batch Gradient Descent:"," обчислення градієнта по всьому датасету одразу",[5298,5329,5330,5333],{},[5195,5331,5332],{},"Stochastic Gradient Descent (SGD):"," оновлення ваг після кожного окремого прикладу",[5298,5335,5336,5339],{},[5195,5337,5338],{},"Mini-batch Gradient Descent:"," компроміс — обчислення градієнта по невеликій групі прикладів",[5298,5341,5342,5345],{},[5195,5343,5344],{},"DataLoader:"," клас PyTorch для ефективного завантаження даних батчами",[5298,5347,5348,5351],{},[5195,5349,5350],{},"Epoch:"," один повний прохід через весь тренувальний датасет",[5298,5353,5354,5357],{},[5195,5355,5356],{},"Iteration:"," одне оновлення ваг (одна обробка одного батчу)",[5359,5360],"hr",{},[5186,5362,5364],{"id":5363},"нагадування-градієнтний-спуск-у-теорії","Нагадування: градієнтний спуск у теорії",[5191,5366,5367,5368,5372,5373,5376],{},"Перш ніж перейти до практичних варіантів, згадаймо математичну суть алгоритму градієнтного спуску. Наша мета — мінімізувати функцію втрат ",[5222,5369],{"tex":5370,":inline":5371},"L(\\mathbf{w})","true",", яка вимірює помилку моделі з параметрами (вагами) ",[5222,5374],{"tex":5375,":inline":5371},"\\mathbf{w}",".",[5378,5379,5381],"h3",{"id":5380},"класична-формула-оновлення-ваг","Класична формула оновлення ваг",[5191,5383,5384],{},"Градієнтний спуск ітеративно оновлює ваги, рухаючись у напрямку, протилежному градієнту:",[5222,5386],{"tex":5387},"\\mathbf{w}_{t+1} = \\mathbf{w}_t - \\eta \\nabla_{\\mathbf{w}} L(\\mathbf{w}_t)",[5191,5389,5390],{},"Де:",[5295,5392,5393,5402,5412],{},[5298,5394,5395,5398,5399],{},[5222,5396],{"tex":5397,":inline":5371},"\\mathbf{w}_t"," — поточні ваги на кроці ",[5222,5400],{"tex":5401,":inline":5371},"t",[5298,5403,5404,5407,5408,5411],{},[5222,5405],{"tex":5406,":inline":5371},"\\eta"," — швидкість навчання (",[5284,5409,5410],{},"learning rate",")",[5298,5413,5414,5417],{},[5222,5415],{"tex":5416,":inline":5371},"\\nabla_{\\mathbf{w}} L"," — градієнт функції втрат по вагах",[5378,5419,5421],{"id":5420},"функція-втрат-для-всього-датасету","Функція втрат для всього датасету",[5191,5423,5424,5425,5428,5429,5432,5433,5436],{},"Якщо наш тренувальний датасет містить ",[5222,5426],{"tex":5427,":inline":5371},"N"," прикладів ",[5222,5430],{"tex":5431,":inline":5371},"\\{(\\mathbf{x}_1, y_1), (\\mathbf{x}_2, y_2), \\ldots, (\\mathbf{x}_N, y_N)\\}",", то функція втрат — це ",[5195,5434,5435],{},"середня помилка по всіх прикладах",":",[5222,5438],{"tex":5439},"L(\\mathbf{w}) = \\frac{1}{N} \\sum_{i=1}^{N} \\ell(\\mathbf{x}_i, y_i, \\mathbf{w})",[5191,5441,5442,5443,5446],{},"Де ",[5222,5444],{"tex":5445,":inline":5371},"\\ell(\\mathbf{x}_i, y_i, \\mathbf{w})"," — втрати на одному прикладі (наприклад, Cross-Entropy для класифікації).",[5191,5448,5449],{},"Градієнт цієї функції:",[5222,5451],{"tex":5452},"\\nabla_{\\mathbf{w}} L(\\mathbf{w}) = \\frac{1}{N} \\sum_{i=1}^{N} \\nabla_{\\mathbf{w}} \\ell(\\mathbf{x}_i, y_i, \\mathbf{w})",[5191,5454,5455,5458,5459,5462,5463,5462,5465,5468,5469,5472,5473,5476],{},[5195,5456,5457],{},"Ключовий момент:"," для обчислення градієнта нам потрібно ",[5195,5460,5461],{},"пропустити всі"," ",[5222,5464],{"tex":5427,":inline":5371},[5195,5466,5467],{},"прикладів через мережу"," (forward pass), обчислити втрати на кожному, а потім усереднити їхні градієнти (backward pass). Якщо ",[5222,5470],{"tex":5471,":inline":5371},"N = 1{,}000{,}000",", це означає мільйон forward-backward проходів ",[5195,5474,5475],{},"для одного оновлення ваг","!",[5478,5479,5480,5485],"note",{},[5191,5481,5482],{},[5195,5483,5484],{},"Інтуїція градієнта:",[5191,5486,5487,5488,5490,5491,5494,5495,5498],{},"Градієнт ",[5222,5489],{"tex":5416,":inline":5371}," — це вектор, що вказує напрямок ",[5195,5492,5493],{},"найшвидшого зростання"," функції втрат. Віднімаючи градієнт від ваг, ми рухаємося у протилежному напрямку — до ",[5195,5496,5497],{},"мінімуму втрат",". Чим більший градієнт, тим крутіший «схил» і тим більший крок ми робимо.",[5359,5500],{},[5186,5502,5504],{"id":5503},"три-підходи-до-обчислення-градієнта","Три підходи до обчислення градієнта",[5191,5506,5507],{},"Існує три фундаментально різних способи обчислення градієнта, кожен із яких має свої переваги та недоліки. Розглянемо їх детально.",[5378,5509,5511],{"id":5510},"підхід-1-batch-gradient-descent-повний-датасет","Підхід 1: Batch Gradient Descent (повний датасет)",[5191,5513,5514,5517,5518,5521],{},[5195,5515,5516],{},"Ідея:"," обчислюємо градієнт по ",[5195,5519,5520],{},"всьому датасету"," одразу, як у формулі вище.",[5523,5524,5526],"plant-uml",{"alt":5525},"Batch Gradient Descent — обробка всього датасету за раз",[5527,5528,5533],"pre",{"className":5529,"code":5530,"language":5531,"meta":5532,"style":5532},"language-plantuml shiki shiki-themes light-plus dark-plus dark-plus","@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\nskinparam defaultFontName \"Arial\"\n\n!define DATA_COLOR #DBEAFE\n!define COMPUTE_COLOR #FEF3C7\n!define UPDATE_COLOR #DCFCE7\n\nrectangle \"Тренувальний датасет\\n(N = 1,000,000 прикладів)\" as dataset #DATA_COLOR\n\nrectangle \"Обчислення градієнта\\nпо ВСЬОМУ датасету\" as compute #COMPUTE_COLOR {\n  rectangle \"Forward pass\\nдля кожного x₁, x₂, ..., xₙ\" as forward\n  rectangle \"Обчислення втрат\\nℓ(x₁), ℓ(x₂), ..., ℓ(xₙ)\" as loss\n  rectangle \"Backward pass\\nусереднення градієнтів\" as backward\n}\n\nrectangle \"Оновлення ваг\\nw ← w - η∇L\" as update #UPDATE_COLOR\n\ndataset -down-> compute\ncompute -down-> update\nupdate -right-> dataset : Наступна ітерація\n\nnote right of compute\n  ⏱️ Одне оновлення може\n  займати хвилини або години\n  для великих датасетів\nend note\n\n@enduml\n","plantuml","",[5308,5534,5535,5543,5549,5555,5561,5568,5574,5580,5586,5591,5597,5602,5608,5614,5620,5626,5632,5637,5643,5648,5654,5660,5666,5671,5677,5683,5689,5695,5701,5706],{"__ignoreMap":5532},[5536,5537,5540],"span",{"class":5538,"line":5539},"line",1,[5536,5541,5542],{},"@startuml\n",[5536,5544,5546],{"class":5538,"line":5545},2,[5536,5547,5548],{},"skinparam style plain\n",[5536,5550,5552],{"class":5538,"line":5551},3,[5536,5553,5554],{},"skinparam backgroundColor #FFFFFF\n",[5536,5556,5558],{"class":5538,"line":5557},4,[5536,5559,5560],{},"skinparam defaultFontName \"Arial\"\n",[5536,5562,5564],{"class":5538,"line":5563},5,[5536,5565,5567],{"emptyLinePlaceholder":5566},true,"\n",[5536,5569,5571],{"class":5538,"line":5570},6,[5536,5572,5573],{},"!define DATA_COLOR #DBEAFE\n",[5536,5575,5577],{"class":5538,"line":5576},7,[5536,5578,5579],{},"!define COMPUTE_COLOR #FEF3C7\n",[5536,5581,5583],{"class":5538,"line":5582},8,[5536,5584,5585],{},"!define UPDATE_COLOR #DCFCE7\n",[5536,5587,5589],{"class":5538,"line":5588},9,[5536,5590,5567],{"emptyLinePlaceholder":5566},[5536,5592,5594],{"class":5538,"line":5593},10,[5536,5595,5596],{},"rectangle \"Тренувальний датасет\\n(N = 1,000,000 прикладів)\" as dataset #DATA_COLOR\n",[5536,5598,5600],{"class":5538,"line":5599},11,[5536,5601,5567],{"emptyLinePlaceholder":5566},[5536,5603,5605],{"class":5538,"line":5604},12,[5536,5606,5607],{},"rectangle \"Обчислення градієнта\\nпо ВСЬОМУ датасету\" as compute #COMPUTE_COLOR {\n",[5536,5609,5611],{"class":5538,"line":5610},13,[5536,5612,5613],{},"  rectangle \"Forward pass\\nдля кожного x₁, x₂, ..., xₙ\" as forward\n",[5536,5615,5617],{"class":5538,"line":5616},14,[5536,5618,5619],{},"  rectangle \"Обчислення втрат\\nℓ(x₁), ℓ(x₂), ..., ℓ(xₙ)\" as loss\n",[5536,5621,5623],{"class":5538,"line":5622},15,[5536,5624,5625],{},"  rectangle \"Backward pass\\nусереднення градієнтів\" as backward\n",[5536,5627,5629],{"class":5538,"line":5628},16,[5536,5630,5631],{},"}\n",[5536,5633,5635],{"class":5538,"line":5634},17,[5536,5636,5567],{"emptyLinePlaceholder":5566},[5536,5638,5640],{"class":5538,"line":5639},18,[5536,5641,5642],{},"rectangle \"Оновлення ваг\\nw ← w - η∇L\" as update #UPDATE_COLOR\n",[5536,5644,5646],{"class":5538,"line":5645},19,[5536,5647,5567],{"emptyLinePlaceholder":5566},[5536,5649,5651],{"class":5538,"line":5650},20,[5536,5652,5653],{},"dataset -down-> compute\n",[5536,5655,5657],{"class":5538,"line":5656},21,[5536,5658,5659],{},"compute -down-> update\n",[5536,5661,5663],{"class":5538,"line":5662},22,[5536,5664,5665],{},"update -right-> dataset : Наступна ітерація\n",[5536,5667,5669],{"class":5538,"line":5668},23,[5536,5670,5567],{"emptyLinePlaceholder":5566},[5536,5672,5674],{"class":5538,"line":5673},24,[5536,5675,5676],{},"note right of compute\n",[5536,5678,5680],{"class":5538,"line":5679},25,[5536,5681,5682],{},"  ⏱️ Одне оновлення може\n",[5536,5684,5686],{"class":5538,"line":5685},26,[5536,5687,5688],{},"  займати хвилини або години\n",[5536,5690,5692],{"class":5538,"line":5691},27,[5536,5693,5694],{},"  для великих датасетів\n",[5536,5696,5698],{"class":5538,"line":5697},28,[5536,5699,5700],{},"end note\n",[5536,5702,5704],{"class":5538,"line":5703},29,[5536,5705,5567],{"emptyLinePlaceholder":5566},[5536,5707,5709],{"class":5538,"line":5708},30,[5536,5710,5711],{},"@enduml\n",[5191,5713,5714],{},[5195,5715,5716],{},"Алгоритм:",[5718,5719,5720,5724,5733,5737,5743,5747,5750,5754,5757,5761,5764,5768],"steps",{},[5378,5721,5723],{"id":5722},"крок-1-завантажити-весь-датасет-у-память","Крок 1. Завантажити весь датасет у пам'ять",[5191,5725,5726,5727,5729,5730,5376],{},"Зчитати всі ",[5222,5728],{"tex":5427,":inline":5371}," прикладів: ",[5222,5731],{"tex":5732,":inline":5371},"\\{(\\mathbf{x}_1, y_1), \\ldots, (\\mathbf{x}_N, y_N)\\}",[5378,5734,5736],{"id":5735},"крок-2-forward-pass-по-всіх-прикладах","Крок 2. Forward pass по всіх прикладах",[5191,5738,5739,5740,5376],{},"Пропустити кожен приклад через модель, отримати передбачення ",[5222,5741],{"tex":5742,":inline":5371},"\\hat{y}_i = f(\\mathbf{x}_i, \\mathbf{w})",[5378,5744,5746],{"id":5745},"крок-3-обчислити-середню-втрату","Крок 3. Обчислити середню втрату",[5222,5748],{"tex":5749},"L = \\frac{1}{N} \\sum_{i=1}^{N} \\ell(\\hat{y}_i, y_i)",[5378,5751,5753],{"id":5752},"крок-4-backward-pass-обчислити-градієнт","Крок 4. Backward pass — обчислити градієнт",[5222,5755],{"tex":5756},"\\nabla_{\\mathbf{w}} L = \\frac{1}{N} \\sum_{i=1}^{N} \\nabla_{\\mathbf{w}} \\ell(\\mathbf{x}_i, y_i, \\mathbf{w})",[5378,5758,5760],{"id":5759},"крок-5-оновити-ваги","Крок 5. Оновити ваги",[5222,5762],{"tex":5763},"\\mathbf{w} \\leftarrow \\mathbf{w} - \\eta \\nabla_{\\mathbf{w}} L",[5378,5765,5767],{"id":5766},"крок-6-повторити-з-кроку-2","Крок 6. Повторити з кроку 2",[5191,5769,5770],{},"Продовжувати, поки не досягнемо конвергенції.",[5191,5772,5773],{},[5195,5774,5775],{},"Переваги Batch GD:",[5203,5777,5778,5787,5795],{},[5206,5779,5782,5783,5786],{"icon":5780,"title":5781},"i-lucide-trending-up","✅ Стабільна конвергенція","Градієнт обчислюється по всьому датасету, тому він ",[5195,5784,5785],{},"точний"," і не шумний. Траєкторія оптимізації плавно рухається до мінімуму без хаотичних стрибків.",[5206,5788,5790,5791,5794],{"icon":4112,"title":5789},"✅ Детермінованість","Якщо запустити алгоритм двічі з однаковими початковими вагами та learning rate, отримаємо ",[5195,5792,5793],{},"ідентичний результат",". Це полегшує відтворюваність експериментів.",[5206,5796,5798],{"icon":92,"title":5797},"✅ Ефективна векторизація","Сучасні бібліотеки (NumPy, PyTorch) оптимізовані для операцій над великими масивами. Обробка всього датасету одним тензором використовує SIMD-інструкції процесора та паралелізм GPU ефективніше, ніж окремі приклади.",[5191,5800,5801],{},[5195,5802,5803],{},"Недоліки Batch GD:",[5203,5805,5806,5815,5823],{},[5206,5807,5810,5811,5814],{"icon":5808,"title":5809},"i-lucide-hard-drive","❌ Вимагає всю пам'ять","Весь датасет має поміститися в RAM або VRAM GPU. Для ImageNet (14 мільйонів зображень, близько ",[5195,5812,5813],{},"150 ГБ",") це нереально.",[5206,5816,5818,5819,5822],{"icon":4265,"title":5817},"❌ Повільні оновлення","Одне оновлення ваг вимагає обробки ",[5195,5820,5821],{},"всього датасету",". Для мільйона прикладів це може займати хвилини навіть на потужному GPU. Якщо модель застрягла в поганому локальному мінімумі, ми дізнаємося про це лише після наступного повного проходу.",[5206,5824,5827],{"icon":5825,"title":5826},"i-lucide-wifi-off","❌ Неможливість онлайн-навчання","Якщо дані надходять поступово (наприклад, стрімінг відео або онлайн-реклама), неможливо почекати накопичення всього датасету перед навчанням.",[5829,5830,5831,5836],"warning",{},[5191,5832,5833],{},[5195,5834,5835],{},"Для реальних задач:",[5191,5837,5838,5839,5842],{},"Batch Gradient Descent практично ",[5195,5840,5841],{},"ніколи не використовується"," через обмеження пам'яті. Навіть для малих датасетів (MNIST, CIFAR-10) це неефективно, бо оновлення ваг відбуваються рідко.",[5359,5844],{},[5378,5846,5848],{"id":5847},"підхід-2-stochastic-gradient-descent-один-приклад-за-раз","Підхід 2: Stochastic Gradient Descent (один приклад за раз)",[5191,5850,5851,5517,5853,5856],{},[5195,5852,5516],{},[5195,5854,5855],{},"одному випадково обраному прикладу",", оновлюємо ваги, беремо наступний приклад.",[5191,5858,5859,5860,5862,5863,5436],{},"Замість усереднення по всьому датасету, градієнт на кроці ",[5222,5861],{"tex":5401,":inline":5371}," обчислюється лише для одного прикладу ",[5222,5864],{"tex":5865,":inline":5371},"(\\mathbf{x}_t, y_t)",[5222,5867],{"tex":5868},"\\nabla_{\\mathbf{w}} L_{\\text{SGD}} \\approx \\nabla_{\\mathbf{w}} \\ell(\\mathbf{x}_t, y_t, \\mathbf{w})",[5191,5870,5871],{},"Оновлення ваг:",[5222,5873],{"tex":5874},"\\mathbf{w}_{t+1} = \\mathbf{w}_t - \\eta \\nabla_{\\mathbf{w}} \\ell(\\mathbf{x}_t, y_t, \\mathbf{w}_t)",[5191,5876,5877],{},[5195,5878,5879],{},"Алгоритм SGD:",[5718,5881,5882,5886,5889,5893,5899,5903,5905,5909,5912,5916,5919,5923,5926,5930],{},[5378,5883,5885],{"id":5884},"крок-1-перемішати-датасет","Крок 1. Перемішати датасет",[5191,5887,5888],{},"Випадково змінити порядок прикладів, щоб уникнути систематичних зміщень.",[5378,5890,5892],{"id":5891},"крок-2-взяти-один-приклад","Крок 2. Взяти один приклад",[5191,5894,5895,5896,5376],{},"Вибрати ",[5222,5897],{"tex":5898,":inline":5371},"(\\mathbf{x}_i, y_i)",[5378,5900,5902],{"id":5901},"крок-3-forward-pass-для-одного-прикладу","Крок 3. Forward pass для одного прикладу",[5222,5904],{"tex":5742},[5378,5906,5908],{"id":5907},"крок-4-обчислити-втрату","Крок 4. Обчислити втрату",[5222,5910],{"tex":5911},"\\ell_i = \\ell(\\hat{y}_i, y_i)",[5378,5913,5915],{"id":5914},"крок-5-backward-pass-градієнт-для-одного-прикладу","Крок 5. Backward pass — градієнт для одного прикладу",[5222,5917],{"tex":5918},"\\nabla_{\\mathbf{w}} \\ell_i",[5378,5920,5922],{"id":5921},"крок-6-оновити-ваги","Крок 6. Оновити ваги",[5222,5924],{"tex":5925},"\\mathbf{w} \\leftarrow \\mathbf{w} - \\eta \\nabla_{\\mathbf{w}} \\ell_i",[5378,5927,5929],{"id":5928},"крок-7-взяти-наступний-приклад","Крок 7. Взяти наступний приклад",[5191,5931,5932,5933,5376],{},"Повторити з кроку 2 для ",[5222,5934],{"tex":5935,":inline":5371},"\\mathbf{x}_{i+1}",[5191,5937,5938],{},[5195,5939,5940],{},"Переваги SGD:",[5203,5942,5943,5951,5960],{},[5206,5944,5946,5947,5950],{"icon":92,"title":5945},"✅ Швидкі оновлення","Ваги оновлюються після ",[5195,5948,5949],{},"кожного прикладу",". Для датасету з 50 000 прикладів отримуємо 50 000 оновлень ваг за одну епоху, замість одного у Batch GD!",[5206,5952,5955,5956,5959],{"icon":5953,"title":5954},"i-lucide-hard-drive-download","✅ Мінімальні вимоги до пам'яті","У пам'яті потрібен лише ",[5195,5957,5958],{},"один приклад"," одночасно. Це дозволяє працювати з будь-якими датасетами.",[5206,5961,5964,5965,5968],{"icon":5962,"title":5963},"i-lucide-move","✅ Втеча з локальних мінімумів","Шумний градієнт додає ",[5195,5966,5967],{},"стохастичність"," до траєкторії оптимізації. Модель може «вистрибнути» з вузького локального мінімуму та знайти кращий глобальний.",[5191,5970,5971],{},[5195,5972,5973],{},"Недоліки SGD:",[5203,5975,5976,5984,5988,5996,6007,6009,6013,6026,6043,6046,6048,6051,6233,6238,6329,6334],{},[5206,5977,5979,5980,5983],{"icon":1348,"title":5978},"❌ Шумна конвергенція","Градієнт одного прикладу — ",[5195,5981,5982],{},"погана апроксимація"," справжнього градієнта по датасету. Траєкторія оптимізації хаотично стрибає навколо мінімуму, навіть після досягнення конвергенції.",[5206,5985,5987],{"icon":255,"title":5986},"❌ Неефективна векторизація","Обробка одного прикладу не використовує паралелізм GPU. Сучасні GPU мають тисячі ядер, але SGD завантажує лише одне. Це як використовувати Ferrari для поїздки до магазину за кутом.",[5206,5989,5991,5992,5995],{"icon":4265,"title":5990},"❌ Повільніше за годинником","Хоча SGD робить більше оновлень, ",[5195,5993,5994],{},"час виконання"," може бути більшим через неефективність GPU. Обробити 1000 прикладів по одному повільніше, ніж батчем із 1000.",[5997,5998,5999,6004],"tip",{},[5191,6000,6001],{},[5195,6002,6003],{},"Термінологія:",[5191,6005,6006],{},"У літературі термін «SGD» часто використовується для позначення будь-якого варіанта градієнтного спуску, включаючи Mini-batch. Коли кажуть «навчаємо з SGD», зазвичай мають на увазі Mini-batch GD з невеликим батчем (32-256).",[5359,6008],{},[5378,6010,6012],{"id":6011},"підхід-3-mini-batch-gradient-descent-золота-середина","Підхід 3: Mini-batch Gradient Descent (золота середина)",[5191,6014,6015,6017,6018,6021,6022,6025],{},[5195,6016,5516],{}," обчислюємо градієнт не по всьому датасету і не по одному прикладу, а по ",[5195,6019,6020],{},"невеликій групі прикладів"," — міні-батчу (",[5284,6023,6024],{},"mini-batch",").",[5191,6027,6028,6029,6032,6033,6036,6037,6039,6040,5436],{},"Розіб'ємо датасет на ",[5222,6030],{"tex":6031,":inline":5371},"K"," міні-батчів розміром ",[5222,6034],{"tex":6035,":inline":5371},"B"," кожен. Градієнт на кроці ",[5222,6038],{"tex":5401,":inline":5371}," обчислюється по батчу ",[5222,6041],{"tex":6042,":inline":5371},"\\mathcal{B}_t = \\{(\\mathbf{x}_{t,1}, y_{t,1}), \\ldots, (\\mathbf{x}_{t,B}, y_{t,B})\\}",[5222,6044],{"tex":6045},"\\nabla_{\\mathbf{w}} L_{\\text{mini-batch}} = \\frac{1}{B} \\sum_{i=1}^{B} \\nabla_{\\mathbf{w}} \\ell(\\mathbf{x}_{t,i}, y_{t,i}, \\mathbf{w})",[5191,6047,5871],{},[5222,6049],{"tex":6050},"\\mathbf{w}_{t+1} = \\mathbf{w}_t - \\eta \\nabla_{\\mathbf{w}} L_{\\text{mini-batch}}",[5523,6052,6054],{"alt":6053},"Mini-batch Gradient Descent — компроміс між Batch та SGD",[5527,6055,6057],{"className":5529,"code":6056,"language":5531,"meta":5532,"style":5532},"@startuml\nskinparam style plain\nskinparam backgroundColor #FFFFFF\nskinparam defaultFontName \"Arial\"\n\n!define DATA_COLOR #DBEAFE\n!define BATCH_COLOR #FEF3C7\n!define COMPUTE_COLOR #DCFCE7\n\nrectangle \"Датасет\\n(N = 50,000)\" as dataset #DATA_COLOR\n\npackage \"Розбиття на міні-батчі\" as split {\n  rectangle \"Batch 1\\n(B = 128)\" as b1 #BATCH_COLOR\n  rectangle \"Batch 2\\n(B = 128)\" as b2 #BATCH_COLOR\n  rectangle \"...\" as dots\n  rectangle \"Batch K\\n(B = 128)\" as bk #BATCH_COLOR\n}\n\nrectangle \"Обчислення градієнта\\nпо одному батчу\" as compute #COMPUTE_COLOR\n\nrectangle \"Оновлення ваг\\nw ← w - η∇L\" as update\n\ndataset -down-> split\nb1 -down-> compute : Ітерація 1\ncompute -down-> update\nupdate -right-> b2 : Ітерація 2\nb2 -right-> compute\ndots -right-> bk\nbk -up-> dataset : Епоха завершена\n\nnote right of compute\n  ⚡ Кожне оновлення — швидке\n  📊 Градієнт — достатньо точний\n  🎯 Ефективна векторизація GPU\nend note\n\n@enduml\n",[5308,6058,6059,6063,6067,6071,6075,6079,6083,6088,6093,6097,6102,6106,6111,6116,6121,6126,6131,6135,6139,6144,6148,6153,6157,6162,6167,6171,6176,6181,6186,6191,6195,6200,6206,6212,6218,6223,6228],{"__ignoreMap":5532},[5536,6060,6061],{"class":5538,"line":5539},[5536,6062,5542],{},[5536,6064,6065],{"class":5538,"line":5545},[5536,6066,5548],{},[5536,6068,6069],{"class":5538,"line":5551},[5536,6070,5554],{},[5536,6072,6073],{"class":5538,"line":5557},[5536,6074,5560],{},[5536,6076,6077],{"class":5538,"line":5563},[5536,6078,5567],{"emptyLinePlaceholder":5566},[5536,6080,6081],{"class":5538,"line":5570},[5536,6082,5573],{},[5536,6084,6085],{"class":5538,"line":5576},[5536,6086,6087],{},"!define BATCH_COLOR #FEF3C7\n",[5536,6089,6090],{"class":5538,"line":5582},[5536,6091,6092],{},"!define COMPUTE_COLOR #DCFCE7\n",[5536,6094,6095],{"class":5538,"line":5588},[5536,6096,5567],{"emptyLinePlaceholder":5566},[5536,6098,6099],{"class":5538,"line":5593},[5536,6100,6101],{},"rectangle \"Датасет\\n(N = 50,000)\" as dataset #DATA_COLOR\n",[5536,6103,6104],{"class":5538,"line":5599},[5536,6105,5567],{"emptyLinePlaceholder":5566},[5536,6107,6108],{"class":5538,"line":5604},[5536,6109,6110],{},"package \"Розбиття на міні-батчі\" as split {\n",[5536,6112,6113],{"class":5538,"line":5610},[5536,6114,6115],{},"  rectangle \"Batch 1\\n(B = 128)\" as b1 #BATCH_COLOR\n",[5536,6117,6118],{"class":5538,"line":5616},[5536,6119,6120],{},"  rectangle \"Batch 2\\n(B = 128)\" as b2 #BATCH_COLOR\n",[5536,6122,6123],{"class":5538,"line":5622},[5536,6124,6125],{},"  rectangle \"...\" as dots\n",[5536,6127,6128],{"class":5538,"line":5628},[5536,6129,6130],{},"  rectangle \"Batch K\\n(B = 128)\" as bk #BATCH_COLOR\n",[5536,6132,6133],{"class":5538,"line":5634},[5536,6134,5631],{},[5536,6136,6137],{"class":5538,"line":5639},[5536,6138,5567],{"emptyLinePlaceholder":5566},[5536,6140,6141],{"class":5538,"line":5645},[5536,6142,6143],{},"rectangle \"Обчислення градієнта\\nпо одному батчу\" as compute #COMPUTE_COLOR\n",[5536,6145,6146],{"class":5538,"line":5650},[5536,6147,5567],{"emptyLinePlaceholder":5566},[5536,6149,6150],{"class":5538,"line":5656},[5536,6151,6152],{},"rectangle \"Оновлення ваг\\nw ← w - η∇L\" as update\n",[5536,6154,6155],{"class":5538,"line":5662},[5536,6156,5567],{"emptyLinePlaceholder":5566},[5536,6158,6159],{"class":5538,"line":5668},[5536,6160,6161],{},"dataset -down-> split\n",[5536,6163,6164],{"class":5538,"line":5673},[5536,6165,6166],{},"b1 -down-> compute : Ітерація 1\n",[5536,6168,6169],{"class":5538,"line":5679},[5536,6170,5659],{},[5536,6172,6173],{"class":5538,"line":5685},[5536,6174,6175],{},"update -right-> b2 : Ітерація 2\n",[5536,6177,6178],{"class":5538,"line":5691},[5536,6179,6180],{},"b2 -right-> compute\n",[5536,6182,6183],{"class":5538,"line":5697},[5536,6184,6185],{},"dots -right-> bk\n",[5536,6187,6188],{"class":5538,"line":5703},[5536,6189,6190],{},"bk -up-> dataset : Епоха завершена\n",[5536,6192,6193],{"class":5538,"line":5708},[5536,6194,5567],{"emptyLinePlaceholder":5566},[5536,6196,6198],{"class":5538,"line":6197},31,[5536,6199,5676],{},[5536,6201,6203],{"class":5538,"line":6202},32,[5536,6204,6205],{},"  ⚡ Кожне оновлення — швидке\n",[5536,6207,6209],{"class":5538,"line":6208},33,[5536,6210,6211],{},"  📊 Градієнт — достатньо точний\n",[5536,6213,6215],{"class":5538,"line":6214},34,[5536,6216,6217],{},"  🎯 Ефективна векторизація GPU\n",[5536,6219,6221],{"class":5538,"line":6220},35,[5536,6222,5700],{},[5536,6224,6226],{"class":5538,"line":6225},36,[5536,6227,5567],{"emptyLinePlaceholder":5566},[5536,6229,6231],{"class":5538,"line":6230},37,[5536,6232,5711],{},[5191,6234,6235],{},[5195,6236,6237],{},"Типові розміри батчу:",[6239,6240,6241,6261],"table",{},[6242,6243,6244],"thead",{},[6245,6246,6247,6252,6255,6258],"tr",{},[6248,6249,6251],"th",{"align":6250},"left","Розмір батчу",[6248,6253,6254],{"align":6250},"Застосування",[6248,6256,6257],{"align":6250},"Пам'ять GPU",[6248,6259,6260],{"align":6250},"Характеристики",[6262,6263,6264,6281,6297,6313],"tbody",{},[6245,6265,6266,6272,6275,6278],{},[6267,6268,6269],"td",{"align":6250},[5195,6270,6271],{},"8-16",[6267,6273,6274],{"align":6250},"Дуже великі зображення (медичні скани)",[6267,6276,6277],{"align":6250},"~2-4 ГБ",[6267,6279,6280],{"align":6250},"Дуже шумний градієнт, повільна конвергенція",[6245,6282,6283,6288,6291,6294],{},[6267,6284,6285],{"align":6250},[5195,6286,6287],{},"32-64",[6267,6289,6290],{"align":6250},"Стандарт для CNN на середніх зображеннях",[6267,6292,6293],{"align":6250},"~4-8 ГБ",[6267,6295,6296],{"align":6250},"Баланс швидкості та якості",[6245,6298,6299,6304,6307,6310],{},[6267,6300,6301],{"align":6250},[5195,6302,6303],{},"128-256",[6267,6305,6306],{"align":6250},"Популярний вибір для класифікації",[6267,6308,6309],{"align":6250},"~8-16 ГБ",[6267,6311,6312],{"align":6250},"Швидка конвергенція, стабільний градієнт",[6245,6314,6315,6320,6323,6326],{},[6267,6316,6317],{"align":6250},[5195,6318,6319],{},"512-1024",[6267,6321,6322],{"align":6250},"Великі датасети з малими входами (MNIST)",[6267,6324,6325],{"align":6250},"~16+ ГБ",[6267,6327,6328],{"align":6250},"Максимальна швидкість, ризик перенавчання",[5191,6330,6331],{},[5195,6332,6333],{},"Переваги Mini-batch GD:",[5203,6335,6336],{},[5206,6337,6338],{"icon":255,"title":5797},"Батч із 128 прикладів завантажує GPU на ~70-90%. Операції матричного множення виконуються паралельно на тисячах ядер CUDA.",[5206,6340,6342],{"icon":5780,"title":6341},"✅ Стабільніший градієнт","Градієнт, усереднений по 128 прикладах, значно точніший за градієнт одного прикладу SGD. Траєкторія оптимізації плавніша, ніж у SGD, але швидша, ніж у Batch GD.",[5206,6344,6346],{"icon":5808,"title":6345},"✅ Помірні вимоги до пам'яті","Потрібно зберігати лише один батч (~0.5-2 ГБ) замість усього датасету (~100 ГБ).",[5206,6348,6350,6351,6354],{"icon":4660,"title":6349},"✅ Регуляризаційний ефект","Невеликий шум у градієнті (через вибірковість батчу) діє як ",[5195,6352,6353],{},"імпліцитна регуляризація",", зменшуючи перенавчання. Це один із секретів успіху глибокого навчання.",[5191,6356,5234],{},[5191,6358,6359],{},[5195,6360,6361],{},"Недоліки Mini-batch GD:",[5203,6363,6364,6369],{},[5206,6365,6368],{"icon":6366,"title":6367},"i-lucide-settings","⚠️ Гіперпараметр batch size","Розмір батчу стає черговим гіперпараметром, який потрібно налаштовувати. Надто малий — шумно та повільно, надто великий — ризик перенавчання.",[5206,6370,6372],{"icon":221,"title":6371},"⚠️ Залежність від апаратури","Оптимальний batch size залежить від пам'яті GPU. На GTX 1060 (6 ГБ) можна використовувати batch_size=64, а на A100 (80 ГБ) — 512.",[5478,6374,6375,6380],{},[5191,6376,6377],{},[5195,6378,6379],{},"Чому Mini-batch — стандарт індустрії:",[5191,6381,6382,6383,6386],{},"Практично ",[5195,6384,6385],{},"всі сучасні моделі"," (ResNet, BERT, GPT, DALL-E) навчаються з Mini-batch Gradient Descent. Це оптимальний компроміс між швидкістю, пам'яттю та якістю.",[5359,6388],{},[5186,6390,6392],{"id":6391},"візуалізація-траєкторій-оптимізації","Візуалізація траєкторій оптимізації",[5191,6394,6395],{},"Щоб зрозуміти різницю між трьома підходами інтуїтивно, візуалізуймо траєкторії руху ваг до мінімуму втрат на простій двовимірній функції.",[6397,6398,6401,6412,6756],"jupyter-notebook",{"title":6399,"kernel":6400},"gradient_descent_comparison.ipynb","Python 3.11 (ipykernel)",[6402,6403,6405,6409],"jupyter-cell",{"type":6404},"markdown",[5378,6406,6408],{"id":6407},"генерація-синтетичних-даних","Генерація синтетичних даних",[5191,6410,6411],{},"Створимо простий датасет для бінарної класифікації та візуалізуємо ландшафт втрат.",[6402,6413,6416,6691],{"execution-count":6414,"execution-time":6415},"1","0.42s",[5527,6417,6421],{"className":6418,"code":6419,"language":6420,"meta":5532,"style":5532},"language-python shiki shiki-themes light-plus dark-plus dark-plus","import numpy as np\nimport matplotlib.pyplot as plt\nfrom matplotlib import cm\n\n# Генерація даних: два класи з перекриттям\nnp.random.seed(42)\nn_samples = 200\n\n# Клас 0: центр у (-2, -2)\nX0 = np.random.randn(n_samples, 2) + np.array([-2, -2])\ny0 = np.zeros(n_samples)\n\n# Клас 1: центр у (2, 2)\nX1 = np.random.randn(n_samples, 2) + np.array([2, 2])\ny1 = np.ones(n_samples)\n\nX = np.vstack([X0, X1])\ny = np.hstack([y0, y1])\n\n# Перемішаємо\nindices = np.random.permutation(len(X))\nX, y = X[indices], y[indices]\n\nprint(f\"Датасет: {len(X)} прикладів, 2 ознаки, 2 класи\")\nprint(f\"Клас 0: {np.sum(y == 0)} прикладів\")\nprint(f\"Клас 1: {np.sum(y == 1)} прикладів\")\n","python",[5308,6422,6423,6439,6451,6464,6468,6474,6486,6494,6498,6503,6524,6529,6533,6538,6557,6562,6566,6571,6576,6580,6585,6597,6602,6606,6638,6666],{"__ignoreMap":5532},[5536,6424,6425,6429,6433,6436],{"class":5538,"line":5539},[5536,6426,6428],{"class":6427},"s8xlr","import",[5536,6430,6432],{"class":6431},"sHH4Y"," numpy ",[5536,6434,6435],{"class":6427},"as",[5536,6437,6438],{"class":6431}," np\n",[5536,6440,6441,6443,6446,6448],{"class":5538,"line":5545},[5536,6442,6428],{"class":6427},[5536,6444,6445],{"class":6431}," matplotlib.pyplot ",[5536,6447,6435],{"class":6427},[5536,6449,6450],{"class":6431}," plt\n",[5536,6452,6453,6456,6459,6461],{"class":5538,"line":5551},[5536,6454,6455],{"class":6427},"from",[5536,6457,6458],{"class":6431}," matplotlib ",[5536,6460,6428],{"class":6427},[5536,6462,6463],{"class":6431}," cm\n",[5536,6465,6466],{"class":5538,"line":5557},[5536,6467,5567],{"emptyLinePlaceholder":5566},[5536,6469,6470],{"class":5538,"line":5563},[5536,6471,6473],{"class":6472},"spJ8K","# Генерація даних: два класи з перекриттям\n",[5536,6475,6476,6479,6483],{"class":5538,"line":5570},[5536,6477,6478],{"class":6431},"np.random.seed(",[5536,6480,6482],{"class":6481},"sJj4R","42",[5536,6484,6485],{"class":6431},")\n",[5536,6487,6488,6491],{"class":5538,"line":5576},[5536,6489,6490],{"class":6431},"n_samples = ",[5536,6492,6493],{"class":6481},"200\n",[5536,6495,6496],{"class":5538,"line":5582},[5536,6497,5567],{"emptyLinePlaceholder":5566},[5536,6499,6500],{"class":5538,"line":5588},[5536,6501,6502],{"class":6472},"# Клас 0: центр у (-2, -2)\n",[5536,6504,6505,6508,6511,6514,6516,6519,6521],{"class":5538,"line":5593},[5536,6506,6507],{"class":6431},"X0 = np.random.randn(n_samples, ",[5536,6509,6510],{"class":6481},"2",[5536,6512,6513],{"class":6431},") + np.array([-",[5536,6515,6510],{"class":6481},[5536,6517,6518],{"class":6431},", -",[5536,6520,6510],{"class":6481},[5536,6522,6523],{"class":6431},"])\n",[5536,6525,6526],{"class":5538,"line":5599},[5536,6527,6528],{"class":6431},"y0 = np.zeros(n_samples)\n",[5536,6530,6531],{"class":5538,"line":5604},[5536,6532,5567],{"emptyLinePlaceholder":5566},[5536,6534,6535],{"class":5538,"line":5610},[5536,6536,6537],{"class":6472},"# Клас 1: центр у (2, 2)\n",[5536,6539,6540,6543,6545,6548,6550,6553,6555],{"class":5538,"line":5616},[5536,6541,6542],{"class":6431},"X1 = np.random.randn(n_samples, ",[5536,6544,6510],{"class":6481},[5536,6546,6547],{"class":6431},") + np.array([",[5536,6549,6510],{"class":6481},[5536,6551,6552],{"class":6431},", ",[5536,6554,6510],{"class":6481},[5536,6556,6523],{"class":6431},[5536,6558,6559],{"class":5538,"line":5622},[5536,6560,6561],{"class":6431},"y1 = np.ones(n_samples)\n",[5536,6563,6564],{"class":5538,"line":5628},[5536,6565,5567],{"emptyLinePlaceholder":5566},[5536,6567,6568],{"class":5538,"line":5634},[5536,6569,6570],{"class":6431},"X = np.vstack([X0, X1])\n",[5536,6572,6573],{"class":5538,"line":5639},[5536,6574,6575],{"class":6431},"y = np.hstack([y0, y1])\n",[5536,6577,6578],{"class":5538,"line":5645},[5536,6579,5567],{"emptyLinePlaceholder":5566},[5536,6581,6582],{"class":5538,"line":5650},[5536,6583,6584],{"class":6472},"# Перемішаємо\n",[5536,6586,6587,6590,6594],{"class":5538,"line":5656},[5536,6588,6589],{"class":6431},"indices = np.random.permutation(",[5536,6591,6593],{"class":6592},"s8Opu","len",[5536,6595,6596],{"class":6431},"(X))\n",[5536,6598,6599],{"class":5538,"line":5662},[5536,6600,6601],{"class":6431},"X, y = X[indices], y[indices]\n",[5536,6603,6604],{"class":5538,"line":5668},[5536,6605,5567],{"emptyLinePlaceholder":5566},[5536,6607,6608,6611,6614,6618,6622,6625,6627,6630,6633,6636],{"class":5538,"line":5673},[5536,6609,6610],{"class":6592},"print",[5536,6612,6613],{"class":6431},"(",[5536,6615,6617],{"class":6616},"su1O8","f",[5536,6619,6621],{"class":6620},"sbdoH","\"Датасет: ",[5536,6623,6624],{"class":6616},"{",[5536,6626,6593],{"class":6592},[5536,6628,6629],{"class":6431},"(X)",[5536,6631,6632],{"class":6616},"}",[5536,6634,6635],{"class":6620}," прикладів, 2 ознаки, 2 класи\"",[5536,6637,6485],{"class":6431},[5536,6639,6640,6642,6644,6646,6649,6651,6654,6657,6659,6661,6664],{"class":5538,"line":5679},[5536,6641,6610],{"class":6592},[5536,6643,6613],{"class":6431},[5536,6645,6617],{"class":6616},[5536,6647,6648],{"class":6620},"\"Клас 0: ",[5536,6650,6624],{"class":6616},[5536,6652,6653],{"class":6431},"np.sum(y == ",[5536,6655,6656],{"class":6481},"0",[5536,6658,5411],{"class":6431},[5536,6660,6632],{"class":6616},[5536,6662,6663],{"class":6620}," прикладів\"",[5536,6665,6485],{"class":6431},[5536,6667,6668,6670,6672,6674,6677,6679,6681,6683,6685,6687,6689],{"class":5538,"line":5685},[5536,6669,6610],{"class":6592},[5536,6671,6613],{"class":6431},[5536,6673,6617],{"class":6616},[5536,6675,6676],{"class":6620},"\"Клас 1: ",[5536,6678,6624],{"class":6616},[5536,6680,6653],{"class":6431},[5536,6682,6414],{"class":6481},[5536,6684,5411],{"class":6431},[5536,6686,6632],{"class":6616},[5536,6688,6663],{"class":6620},[5536,6690,6485],{"class":6431},[6692,6693,6694],"template",{"v-slot:output":5532},[6239,6695,6696,6706],{},[6242,6697,6698],{},[6245,6699,6700,6703],{},[6248,6701,6702],{"align":6250},"Параметр",[6248,6704,6705],{"align":6250},"Значення",[6262,6707,6708,6718,6727,6737,6747],{},[6245,6709,6710,6715],{},[6267,6711,6712],{"align":6250},[5195,6713,6714],{},"Розмір датасету",[6267,6716,6717],{"align":6250},"400 прикладів",[6245,6719,6720,6725],{},[6267,6721,6722],{"align":6250},[5195,6723,6724],{},"Кількість ознак",[6267,6726,6510],{"align":6250},[6245,6728,6729,6734],{},[6267,6730,6731],{"align":6250},[5195,6732,6733],{},"Кількість класів",[6267,6735,6736],{"align":6250},"2 (бінарна класифікація)",[6245,6738,6739,6744],{},[6267,6740,6741],{"align":6250},[5195,6742,6743],{},"Клас 0 (синій)",[6267,6745,6746],{"align":6250},"200 прикладів",[6245,6748,6749,6754],{},[6267,6750,6751],{"align":6250},[5195,6752,6753],{},"Клас 1 (червоний)",[6267,6755,6746],{"align":6250},[6402,6757,6759,7504],{"execution-count":6510,"execution-time":6758},"0.85s",[5527,6760,6762],{"className":6418,"code":6761,"language":6420,"meta":5532,"style":5532},"# Функція втрат для логістичної регресії\ndef sigmoid(z):\n    return 1 \u002F (1 + np.exp(-np.clip(z, -500, 500)))\n\ndef compute_loss(X, y, w):\n    \"\"\"Cross-Entropy Loss\"\"\"\n    z = X @ w\n    predictions = sigmoid(z)\n    epsilon = 1e-15  # для стабільності log\n    loss = -np.mean(y * np.log(predictions + epsilon) + \n                    (1 - y) * np.log(1 - predictions + epsilon))\n    return loss\n\ndef compute_gradient(X, y, w):\n    \"\"\"Градієнт Cross-Entropy\"\"\"\n    z = X @ w\n    predictions = sigmoid(z)\n    gradient = X.T @ (predictions - y) \u002F len(y)\n    return gradient\n\n# Додамо bias (стовпчик одиниць)\nX_bias = np.c_[np.ones(len(X)), X]\n\n# Створимо сітку ваг для візуалізації ландшафту втрат\nw0_range = np.linspace(-3, 3, 100)\nw1_range = np.linspace(-3, 3, 100)\nW0, W1 = np.meshgrid(w0_range, w1_range)\nZ = np.zeros_like(W0)\n\nfor i in range(W0.shape[0]):\n    for j in range(W0.shape[1]):\n        w = np.array([0, W0[i, j], W1[i, j]])  # bias = 0 для спрощення\n        Z[i, j] = compute_loss(X_bias, y, w)\n\n# Візуалізація ландшафту втрат\nfig = plt.figure(figsize=(14, 6))\n\n# 3D поверхня\nax1 = fig.add_subplot(121, projection='3d')\nsurf = ax1.plot_surface(W0, W1, Z, cmap=cm.viridis, alpha=0.6, \n                        edgecolor='none', antialiased=True)\nax1.set_xlabel('w₁ (вага ознаки 1)', fontsize=12)\nax1.set_ylabel('w₂ (вага ознаки 2)', fontsize=12)\nax1.set_zlabel('Loss (втрати)', fontsize=12)\nax1.set_title('Ландшафт функції втрат (3D)', fontsize=14, fontweight='bold')\nax1.view_init(elev=25, azim=45)\nfig.colorbar(surf, ax=ax1, shrink=0.5)\n\n# Контурна карта\nax2 = fig.add_subplot(122)\ncontour = ax2.contour(W0, W1, Z, levels=30, cmap='viridis', alpha=0.7)\nax2.clabel(contour, inline=True, fontsize=8)\nax2.set_xlabel('w₁ (вага ознаки 1)', fontsize=12)\nax2.set_ylabel('w₂ (вага ознаки 2)', fontsize=12)\nax2.set_title('Контурна карта втрат', fontsize=14, fontweight='bold')\nax2.grid(alpha=0.3)\n\nplt.tight_layout()\nplt.show()\n",[5308,6763,6764,6769,6786,6812,6816,6840,6845,6850,6855,6866,6871,6886,6893,6897,6918,6923,6927,6931,6941,6948,6952,6957,6967,6971,6976,6995,7012,7017,7022,7026,7048,7066,7079,7084,7088,7093,7115,7119,7125,7147,7170,7193,7214,7233,7252,7281,7307,7329,7334,7340,7351,7385,7409,7427,7445,7472,7487,7492,7498],{"__ignoreMap":5532},[5536,6765,6766],{"class":5538,"line":5539},[5536,6767,6768],{"class":6472},"# Функція втрат для логістичної регресії\n",[5536,6770,6771,6774,6777,6779,6783],{"class":5538,"line":5545},[5536,6772,6773],{"class":6616},"def",[5536,6775,6776],{"class":6592}," sigmoid",[5536,6778,6613],{"class":6431},[5536,6780,6782],{"class":6781},"siwwj","z",[5536,6784,6785],{"class":6431},"):\n",[5536,6787,6788,6791,6794,6797,6799,6802,6805,6807,6809],{"class":5538,"line":5551},[5536,6789,6790],{"class":6427},"    return",[5536,6792,6793],{"class":6481}," 1",[5536,6795,6796],{"class":6431}," \u002F (",[5536,6798,6414],{"class":6481},[5536,6800,6801],{"class":6431}," + np.exp(-np.clip(z, -",[5536,6803,6804],{"class":6481},"500",[5536,6806,6552],{"class":6431},[5536,6808,6804],{"class":6481},[5536,6810,6811],{"class":6431},")))\n",[5536,6813,6814],{"class":5538,"line":5557},[5536,6815,5567],{"emptyLinePlaceholder":5566},[5536,6817,6818,6820,6823,6825,6828,6830,6833,6835,6838],{"class":5538,"line":5563},[5536,6819,6773],{"class":6616},[5536,6821,6822],{"class":6592}," compute_loss",[5536,6824,6613],{"class":6431},[5536,6826,6827],{"class":6781},"X",[5536,6829,6552],{"class":6431},[5536,6831,6832],{"class":6781},"y",[5536,6834,6552],{"class":6431},[5536,6836,6837],{"class":6781},"w",[5536,6839,6785],{"class":6431},[5536,6841,6842],{"class":5538,"line":5570},[5536,6843,6844],{"class":6620},"    \"\"\"Cross-Entropy Loss\"\"\"\n",[5536,6846,6847],{"class":5538,"line":5576},[5536,6848,6849],{"class":6431},"    z = X @ w\n",[5536,6851,6852],{"class":5538,"line":5582},[5536,6853,6854],{"class":6431},"    predictions = sigmoid(z)\n",[5536,6856,6857,6860,6863],{"class":5538,"line":5588},[5536,6858,6859],{"class":6431},"    epsilon = ",[5536,6861,6862],{"class":6481},"1e-15",[5536,6864,6865],{"class":6472},"  # для стабільності log\n",[5536,6867,6868],{"class":5538,"line":5593},[5536,6869,6870],{"class":6431},"    loss = -np.mean(y * np.log(predictions + epsilon) + \n",[5536,6872,6873,6876,6878,6881,6883],{"class":5538,"line":5599},[5536,6874,6875],{"class":6431},"                    (",[5536,6877,6414],{"class":6481},[5536,6879,6880],{"class":6431}," - y) * np.log(",[5536,6882,6414],{"class":6481},[5536,6884,6885],{"class":6431}," - predictions + epsilon))\n",[5536,6887,6888,6890],{"class":5538,"line":5604},[5536,6889,6790],{"class":6427},[5536,6891,6892],{"class":6431}," loss\n",[5536,6894,6895],{"class":5538,"line":5610},[5536,6896,5567],{"emptyLinePlaceholder":5566},[5536,6898,6899,6901,6904,6906,6908,6910,6912,6914,6916],{"class":5538,"line":5616},[5536,6900,6773],{"class":6616},[5536,6902,6903],{"class":6592}," compute_gradient",[5536,6905,6613],{"class":6431},[5536,6907,6827],{"class":6781},[5536,6909,6552],{"class":6431},[5536,6911,6832],{"class":6781},[5536,6913,6552],{"class":6431},[5536,6915,6837],{"class":6781},[5536,6917,6785],{"class":6431},[5536,6919,6920],{"class":5538,"line":5622},[5536,6921,6922],{"class":6620},"    \"\"\"Градієнт Cross-Entropy\"\"\"\n",[5536,6924,6925],{"class":5538,"line":5628},[5536,6926,6849],{"class":6431},[5536,6928,6929],{"class":5538,"line":5634},[5536,6930,6854],{"class":6431},[5536,6932,6933,6936,6938],{"class":5538,"line":5639},[5536,6934,6935],{"class":6431},"    gradient = X.T @ (predictions - y) \u002F ",[5536,6937,6593],{"class":6592},[5536,6939,6940],{"class":6431},"(y)\n",[5536,6942,6943,6945],{"class":5538,"line":5645},[5536,6944,6790],{"class":6427},[5536,6946,6947],{"class":6431}," gradient\n",[5536,6949,6950],{"class":5538,"line":5650},[5536,6951,5567],{"emptyLinePlaceholder":5566},[5536,6953,6954],{"class":5538,"line":5656},[5536,6955,6956],{"class":6472},"# Додамо bias (стовпчик одиниць)\n",[5536,6958,6959,6962,6964],{"class":5538,"line":5662},[5536,6960,6961],{"class":6431},"X_bias = np.c_[np.ones(",[5536,6963,6593],{"class":6592},[5536,6965,6966],{"class":6431},"(X)), X]\n",[5536,6968,6969],{"class":5538,"line":5668},[5536,6970,5567],{"emptyLinePlaceholder":5566},[5536,6972,6973],{"class":5538,"line":5673},[5536,6974,6975],{"class":6472},"# Створимо сітку ваг для візуалізації ландшафту втрат\n",[5536,6977,6978,6981,6984,6986,6988,6990,6993],{"class":5538,"line":5679},[5536,6979,6980],{"class":6431},"w0_range = np.linspace(-",[5536,6982,6983],{"class":6481},"3",[5536,6985,6552],{"class":6431},[5536,6987,6983],{"class":6481},[5536,6989,6552],{"class":6431},[5536,6991,6992],{"class":6481},"100",[5536,6994,6485],{"class":6431},[5536,6996,6997,7000,7002,7004,7006,7008,7010],{"class":5538,"line":5685},[5536,6998,6999],{"class":6431},"w1_range = np.linspace(-",[5536,7001,6983],{"class":6481},[5536,7003,6552],{"class":6431},[5536,7005,6983],{"class":6481},[5536,7007,6552],{"class":6431},[5536,7009,6992],{"class":6481},[5536,7011,6485],{"class":6431},[5536,7013,7014],{"class":5538,"line":5691},[5536,7015,7016],{"class":6431},"W0, W1 = np.meshgrid(w0_range, w1_range)\n",[5536,7018,7019],{"class":5538,"line":5697},[5536,7020,7021],{"class":6431},"Z = np.zeros_like(W0)\n",[5536,7023,7024],{"class":5538,"line":5703},[5536,7025,5567],{"emptyLinePlaceholder":5566},[5536,7027,7028,7031,7034,7037,7040,7043,7045],{"class":5538,"line":5708},[5536,7029,7030],{"class":6427},"for",[5536,7032,7033],{"class":6431}," i ",[5536,7035,7036],{"class":6427},"in",[5536,7038,7039],{"class":6592}," range",[5536,7041,7042],{"class":6431},"(W0.shape[",[5536,7044,6656],{"class":6481},[5536,7046,7047],{"class":6431},"]):\n",[5536,7049,7050,7053,7056,7058,7060,7062,7064],{"class":5538,"line":6197},[5536,7051,7052],{"class":6427},"    for",[5536,7054,7055],{"class":6431}," j ",[5536,7057,7036],{"class":6427},[5536,7059,7039],{"class":6592},[5536,7061,7042],{"class":6431},[5536,7063,6414],{"class":6481},[5536,7065,7047],{"class":6431},[5536,7067,7068,7071,7073,7076],{"class":5538,"line":6202},[5536,7069,7070],{"class":6431},"        w = np.array([",[5536,7072,6656],{"class":6481},[5536,7074,7075],{"class":6431},", W0[i, j], W1[i, j]])  ",[5536,7077,7078],{"class":6472},"# bias = 0 для спрощення\n",[5536,7080,7081],{"class":5538,"line":6208},[5536,7082,7083],{"class":6431},"        Z[i, j] = compute_loss(X_bias, y, w)\n",[5536,7085,7086],{"class":5538,"line":6214},[5536,7087,5567],{"emptyLinePlaceholder":5566},[5536,7089,7090],{"class":5538,"line":6220},[5536,7091,7092],{"class":6472},"# Візуалізація ландшафту втрат\n",[5536,7094,7095,7098,7101,7104,7107,7109,7112],{"class":5538,"line":6225},[5536,7096,7097],{"class":6431},"fig = plt.figure(",[5536,7099,7100],{"class":6781},"figsize",[5536,7102,7103],{"class":6431},"=(",[5536,7105,7106],{"class":6481},"14",[5536,7108,6552],{"class":6431},[5536,7110,7111],{"class":6481},"6",[5536,7113,7114],{"class":6431},"))\n",[5536,7116,7117],{"class":5538,"line":6230},[5536,7118,5567],{"emptyLinePlaceholder":5566},[5536,7120,7122],{"class":5538,"line":7121},38,[5536,7123,7124],{"class":6472},"# 3D поверхня\n",[5536,7126,7128,7131,7134,7136,7139,7142,7145],{"class":5538,"line":7127},39,[5536,7129,7130],{"class":6431},"ax1 = fig.add_subplot(",[5536,7132,7133],{"class":6481},"121",[5536,7135,6552],{"class":6431},[5536,7137,7138],{"class":6781},"projection",[5536,7140,7141],{"class":6431},"=",[5536,7143,7144],{"class":6620},"'3d'",[5536,7146,6485],{"class":6431},[5536,7148,7150,7153,7156,7159,7162,7164,7167],{"class":5538,"line":7149},40,[5536,7151,7152],{"class":6431},"surf = ax1.plot_surface(W0, W1, Z, ",[5536,7154,7155],{"class":6781},"cmap",[5536,7157,7158],{"class":6431},"=cm.viridis, ",[5536,7160,7161],{"class":6781},"alpha",[5536,7163,7141],{"class":6431},[5536,7165,7166],{"class":6481},"0.6",[5536,7168,7169],{"class":6431},", \n",[5536,7171,7173,7176,7178,7181,7183,7186,7188,7191],{"class":5538,"line":7172},41,[5536,7174,7175],{"class":6781},"                        edgecolor",[5536,7177,7141],{"class":6431},[5536,7179,7180],{"class":6620},"'none'",[5536,7182,6552],{"class":6431},[5536,7184,7185],{"class":6781},"antialiased",[5536,7187,7141],{"class":6431},[5536,7189,7190],{"class":6616},"True",[5536,7192,6485],{"class":6431},[5536,7194,7196,7199,7202,7204,7207,7209,7212],{"class":5538,"line":7195},42,[5536,7197,7198],{"class":6431},"ax1.set_xlabel(",[5536,7200,7201],{"class":6620},"'w₁ (вага ознаки 1)'",[5536,7203,6552],{"class":6431},[5536,7205,7206],{"class":6781},"fontsize",[5536,7208,7141],{"class":6431},[5536,7210,7211],{"class":6481},"12",[5536,7213,6485],{"class":6431},[5536,7215,7217,7220,7223,7225,7227,7229,7231],{"class":5538,"line":7216},43,[5536,7218,7219],{"class":6431},"ax1.set_ylabel(",[5536,7221,7222],{"class":6620},"'w₂ (вага ознаки 2)'",[5536,7224,6552],{"class":6431},[5536,7226,7206],{"class":6781},[5536,7228,7141],{"class":6431},[5536,7230,7211],{"class":6481},[5536,7232,6485],{"class":6431},[5536,7234,7236,7239,7242,7244,7246,7248,7250],{"class":5538,"line":7235},44,[5536,7237,7238],{"class":6431},"ax1.set_zlabel(",[5536,7240,7241],{"class":6620},"'Loss (втрати)'",[5536,7243,6552],{"class":6431},[5536,7245,7206],{"class":6781},[5536,7247,7141],{"class":6431},[5536,7249,7211],{"class":6481},[5536,7251,6485],{"class":6431},[5536,7253,7255,7258,7261,7263,7265,7267,7269,7271,7274,7276,7279],{"class":5538,"line":7254},45,[5536,7256,7257],{"class":6431},"ax1.set_title(",[5536,7259,7260],{"class":6620},"'Ландшафт функції втрат (3D)'",[5536,7262,6552],{"class":6431},[5536,7264,7206],{"class":6781},[5536,7266,7141],{"class":6431},[5536,7268,7106],{"class":6481},[5536,7270,6552],{"class":6431},[5536,7272,7273],{"class":6781},"fontweight",[5536,7275,7141],{"class":6431},[5536,7277,7278],{"class":6620},"'bold'",[5536,7280,6485],{"class":6431},[5536,7282,7284,7287,7290,7292,7295,7297,7300,7302,7305],{"class":5538,"line":7283},46,[5536,7285,7286],{"class":6431},"ax1.view_init(",[5536,7288,7289],{"class":6781},"elev",[5536,7291,7141],{"class":6431},[5536,7293,7294],{"class":6481},"25",[5536,7296,6552],{"class":6431},[5536,7298,7299],{"class":6781},"azim",[5536,7301,7141],{"class":6431},[5536,7303,7304],{"class":6481},"45",[5536,7306,6485],{"class":6431},[5536,7308,7310,7313,7316,7319,7322,7324,7327],{"class":5538,"line":7309},47,[5536,7311,7312],{"class":6431},"fig.colorbar(surf, ",[5536,7314,7315],{"class":6781},"ax",[5536,7317,7318],{"class":6431},"=ax1, ",[5536,7320,7321],{"class":6781},"shrink",[5536,7323,7141],{"class":6431},[5536,7325,7326],{"class":6481},"0.5",[5536,7328,6485],{"class":6431},[5536,7330,7332],{"class":5538,"line":7331},48,[5536,7333,5567],{"emptyLinePlaceholder":5566},[5536,7335,7337],{"class":5538,"line":7336},49,[5536,7338,7339],{"class":6472},"# Контурна карта\n",[5536,7341,7343,7346,7349],{"class":5538,"line":7342},50,[5536,7344,7345],{"class":6431},"ax2 = fig.add_subplot(",[5536,7347,7348],{"class":6481},"122",[5536,7350,6485],{"class":6431},[5536,7352,7354,7357,7360,7362,7365,7367,7369,7371,7374,7376,7378,7380,7383],{"class":5538,"line":7353},51,[5536,7355,7356],{"class":6431},"contour = ax2.contour(W0, W1, Z, ",[5536,7358,7359],{"class":6781},"levels",[5536,7361,7141],{"class":6431},[5536,7363,7364],{"class":6481},"30",[5536,7366,6552],{"class":6431},[5536,7368,7155],{"class":6781},[5536,7370,7141],{"class":6431},[5536,7372,7373],{"class":6620},"'viridis'",[5536,7375,6552],{"class":6431},[5536,7377,7161],{"class":6781},[5536,7379,7141],{"class":6431},[5536,7381,7382],{"class":6481},"0.7",[5536,7384,6485],{"class":6431},[5536,7386,7388,7391,7394,7396,7398,7400,7402,7404,7407],{"class":5538,"line":7387},52,[5536,7389,7390],{"class":6431},"ax2.clabel(contour, ",[5536,7392,7393],{"class":6781},"inline",[5536,7395,7141],{"class":6431},[5536,7397,7190],{"class":6616},[5536,7399,6552],{"class":6431},[5536,7401,7206],{"class":6781},[5536,7403,7141],{"class":6431},[5536,7405,7406],{"class":6481},"8",[5536,7408,6485],{"class":6431},[5536,7410,7412,7415,7417,7419,7421,7423,7425],{"class":5538,"line":7411},53,[5536,7413,7414],{"class":6431},"ax2.set_xlabel(",[5536,7416,7201],{"class":6620},[5536,7418,6552],{"class":6431},[5536,7420,7206],{"class":6781},[5536,7422,7141],{"class":6431},[5536,7424,7211],{"class":6481},[5536,7426,6485],{"class":6431},[5536,7428,7430,7433,7435,7437,7439,7441,7443],{"class":5538,"line":7429},54,[5536,7431,7432],{"class":6431},"ax2.set_ylabel(",[5536,7434,7222],{"class":6620},[5536,7436,6552],{"class":6431},[5536,7438,7206],{"class":6781},[5536,7440,7141],{"class":6431},[5536,7442,7211],{"class":6481},[5536,7444,6485],{"class":6431},[5536,7446,7448,7451,7454,7456,7458,7460,7462,7464,7466,7468,7470],{"class":5538,"line":7447},55,[5536,7449,7450],{"class":6431},"ax2.set_title(",[5536,7452,7453],{"class":6620},"'Контурна карта втрат'",[5536,7455,6552],{"class":6431},[5536,7457,7206],{"class":6781},[5536,7459,7141],{"class":6431},[5536,7461,7106],{"class":6481},[5536,7463,6552],{"class":6431},[5536,7465,7273],{"class":6781},[5536,7467,7141],{"class":6431},[5536,7469,7278],{"class":6620},[5536,7471,6485],{"class":6431},[5536,7473,7475,7478,7480,7482,7485],{"class":5538,"line":7474},56,[5536,7476,7477],{"class":6431},"ax2.grid(",[5536,7479,7161],{"class":6781},[5536,7481,7141],{"class":6431},[5536,7483,7484],{"class":6481},"0.3",[5536,7486,6485],{"class":6431},[5536,7488,7490],{"class":5538,"line":7489},57,[5536,7491,5567],{"emptyLinePlaceholder":5566},[5536,7493,7495],{"class":5538,"line":7494},58,[5536,7496,7497],{"class":6431},"plt.tight_layout()\n",[5536,7499,7501],{"class":5538,"line":7500},59,[5536,7502,7503],{"class":6431},"plt.show()\n",[6692,7505,7506],{"v-slot:output":5532},[7507,7508],"img",{"alt":7509,"className":7510,"src":7512},"Ландшафт функції втрат для логістичної регресії: 3D поверхня та контурна карта показують «долину» мінімуму",[7511],"diagram-img","\u002Fimages\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent\u002F01.png",[6402,7514,7515,7519],{"type":6404},[5378,7516,7518],{"id":7517},"порівняння-траєкторій-batch-gd-sgd-та-mini-batch-gd","Порівняння траєкторій: Batch GD, SGD та Mini-batch GD",[5191,7520,7521],{},"Тепер запустимо три алгоритми з однаковими початковими вагами та порівняємо їхні траєкторії.",[6402,7523,7525,8175],{"execution-count":6983,"execution-time":7524},"1.24s",[5527,7526,7528],{"className":6418,"code":7527,"language":6420,"meta":5532,"style":5532},"def batch_gradient_descent(X, y, lr=0.5, epochs=50):\n    \"\"\"Batch GD: градієнт по всьому датасету\"\"\"\n    w = np.array([0.0, -2.5, -2.5])  # Початкова точка\n    trajectory = [w.copy()]\n    \n    for epoch in range(epochs):\n        gradient = compute_gradient(X, y, w)\n        w = w - lr * gradient\n        trajectory.append(w.copy())\n    \n    return np.array(trajectory)\n\ndef stochastic_gradient_descent(X, y, lr=0.05, epochs=50):\n    \"\"\"SGD: градієнт по одному прикладу\"\"\"\n    w = np.array([0.0, -2.5, -2.5])\n    trajectory = [w.copy()]\n    \n    for epoch in range(epochs):\n        # Перемішаємо дані\n        indices = np.random.permutation(len(X))\n        for i in indices:\n            X_single = X[i:i+1]\n            y_single = y[i:i+1]\n            gradient = compute_gradient(X_single, y_single, w)\n            w = w - lr * gradient\n            if len(trajectory) \u003C epochs * 10:  # Зберігаємо кожні 40 оновлень\n                if i % 40 == 0:\n                    trajectory.append(w.copy())\n    \n    return np.array(trajectory)\n\ndef mini_batch_gradient_descent(X, y, batch_size=32, lr=0.3, epochs=50):\n    \"\"\"Mini-batch GD: градієнт по невеликому батчу\"\"\"\n    w = np.array([0.0, -2.5, -2.5])\n    trajectory = [w.copy()]\n    \n    n_batches = len(X) \u002F\u002F batch_size\n    \n    for epoch in range(epochs):\n        indices = np.random.permutation(len(X))\n        for i in range(n_batches):\n            batch_indices = indices[i * batch_size : (i+1) * batch_size]\n            X_batch = X[batch_indices]\n            y_batch = y[batch_indices]\n            gradient = compute_gradient(X_batch, y_batch, w)\n            w = w - lr * gradient\n            if epoch % 4 == 0:  # Зберігаємо кожну 4-ту епоху\n                trajectory.append(w.copy())\n    \n    return np.array(trajectory)\n\n# Запускаємо три алгоритми\ntraj_batch = batch_gradient_descent(X_bias, y, lr=0.5, epochs=50)\ntraj_sgd = stochastic_gradient_descent(X_bias, y, lr=0.05, epochs=50)\ntraj_minibatch = mini_batch_gradient_descent(X_bias, y, batch_size=32, lr=0.3, epochs=50)\n\nprint(f\"Траєкторія Batch GD: {len(traj_batch)} точок\")\nprint(f\"Траєкторія SGD: {len(traj_sgd)} точок\")\nprint(f\"Траєкторія Mini-batch GD: {len(traj_minibatch)} точок\")\n",[5308,7529,7530,7566,7571,7594,7599,7604,7618,7623,7628,7633,7637,7644,7648,7682,7687,7703,7707,7711,7723,7728,7737,7749,7759,7768,7773,7778,7798,7817,7822,7826,7832,7836,7879,7884,7900,7904,7908,7918,7922,7934,7942,7955,7965,7970,7975,7980,7984,8003,8008,8012,8018,8022,8027,8048,8069,8098,8102,8127,8151],{"__ignoreMap":5532},[5536,7531,7532,7534,7537,7539,7541,7543,7545,7547,7550,7552,7554,7556,7559,7561,7564],{"class":5538,"line":5539},[5536,7533,6773],{"class":6616},[5536,7535,7536],{"class":6592}," batch_gradient_descent",[5536,7538,6613],{"class":6431},[5536,7540,6827],{"class":6781},[5536,7542,6552],{"class":6431},[5536,7544,6832],{"class":6781},[5536,7546,6552],{"class":6431},[5536,7548,7549],{"class":6781},"lr",[5536,7551,7141],{"class":6431},[5536,7553,7326],{"class":6481},[5536,7555,6552],{"class":6431},[5536,7557,7558],{"class":6781},"epochs",[5536,7560,7141],{"class":6431},[5536,7562,7563],{"class":6481},"50",[5536,7565,6785],{"class":6431},[5536,7567,7568],{"class":5538,"line":5545},[5536,7569,7570],{"class":6620},"    \"\"\"Batch GD: градієнт по всьому датасету\"\"\"\n",[5536,7572,7573,7576,7579,7581,7584,7586,7588,7591],{"class":5538,"line":5551},[5536,7574,7575],{"class":6431},"    w = np.array([",[5536,7577,7578],{"class":6481},"0.0",[5536,7580,6518],{"class":6431},[5536,7582,7583],{"class":6481},"2.5",[5536,7585,6518],{"class":6431},[5536,7587,7583],{"class":6481},[5536,7589,7590],{"class":6431},"])  ",[5536,7592,7593],{"class":6472},"# Початкова точка\n",[5536,7595,7596],{"class":5538,"line":5557},[5536,7597,7598],{"class":6431},"    trajectory = [w.copy()]\n",[5536,7600,7601],{"class":5538,"line":5563},[5536,7602,7603],{"class":6431},"    \n",[5536,7605,7606,7608,7611,7613,7615],{"class":5538,"line":5570},[5536,7607,7052],{"class":6427},[5536,7609,7610],{"class":6431}," epoch ",[5536,7612,7036],{"class":6427},[5536,7614,7039],{"class":6592},[5536,7616,7617],{"class":6431},"(epochs):\n",[5536,7619,7620],{"class":5538,"line":5576},[5536,7621,7622],{"class":6431},"        gradient = compute_gradient(X, y, w)\n",[5536,7624,7625],{"class":5538,"line":5582},[5536,7626,7627],{"class":6431},"        w = w - lr * gradient\n",[5536,7629,7630],{"class":5538,"line":5588},[5536,7631,7632],{"class":6431},"        trajectory.append(w.copy())\n",[5536,7634,7635],{"class":5538,"line":5593},[5536,7636,7603],{"class":6431},[5536,7638,7639,7641],{"class":5538,"line":5599},[5536,7640,6790],{"class":6427},[5536,7642,7643],{"class":6431}," np.array(trajectory)\n",[5536,7645,7646],{"class":5538,"line":5604},[5536,7647,5567],{"emptyLinePlaceholder":5566},[5536,7649,7650,7652,7655,7657,7659,7661,7663,7665,7667,7669,7672,7674,7676,7678,7680],{"class":5538,"line":5610},[5536,7651,6773],{"class":6616},[5536,7653,7654],{"class":6592}," stochastic_gradient_descent",[5536,7656,6613],{"class":6431},[5536,7658,6827],{"class":6781},[5536,7660,6552],{"class":6431},[5536,7662,6832],{"class":6781},[5536,7664,6552],{"class":6431},[5536,7666,7549],{"class":6781},[5536,7668,7141],{"class":6431},[5536,7670,7671],{"class":6481},"0.05",[5536,7673,6552],{"class":6431},[5536,7675,7558],{"class":6781},[5536,7677,7141],{"class":6431},[5536,7679,7563],{"class":6481},[5536,7681,6785],{"class":6431},[5536,7683,7684],{"class":5538,"line":5616},[5536,7685,7686],{"class":6620},"    \"\"\"SGD: градієнт по одному прикладу\"\"\"\n",[5536,7688,7689,7691,7693,7695,7697,7699,7701],{"class":5538,"line":5622},[5536,7690,7575],{"class":6431},[5536,7692,7578],{"class":6481},[5536,7694,6518],{"class":6431},[5536,7696,7583],{"class":6481},[5536,7698,6518],{"class":6431},[5536,7700,7583],{"class":6481},[5536,7702,6523],{"class":6431},[5536,7704,7705],{"class":5538,"line":5628},[5536,7706,7598],{"class":6431},[5536,7708,7709],{"class":5538,"line":5634},[5536,7710,7603],{"class":6431},[5536,7712,7713,7715,7717,7719,7721],{"class":5538,"line":5639},[5536,7714,7052],{"class":6427},[5536,7716,7610],{"class":6431},[5536,7718,7036],{"class":6427},[5536,7720,7039],{"class":6592},[5536,7722,7617],{"class":6431},[5536,7724,7725],{"class":5538,"line":5645},[5536,7726,7727],{"class":6472},"        # Перемішаємо дані\n",[5536,7729,7730,7733,7735],{"class":5538,"line":5650},[5536,7731,7732],{"class":6431},"        indices = np.random.permutation(",[5536,7734,6593],{"class":6592},[5536,7736,6596],{"class":6431},[5536,7738,7739,7742,7744,7746],{"class":5538,"line":5656},[5536,7740,7741],{"class":6427},"        for",[5536,7743,7033],{"class":6431},[5536,7745,7036],{"class":6427},[5536,7747,7748],{"class":6431}," indices:\n",[5536,7750,7751,7754,7756],{"class":5538,"line":5662},[5536,7752,7753],{"class":6431},"            X_single = X[i:i+",[5536,7755,6414],{"class":6481},[5536,7757,7758],{"class":6431},"]\n",[5536,7760,7761,7764,7766],{"class":5538,"line":5668},[5536,7762,7763],{"class":6431},"            y_single = y[i:i+",[5536,7765,6414],{"class":6481},[5536,7767,7758],{"class":6431},[5536,7769,7770],{"class":5538,"line":5673},[5536,7771,7772],{"class":6431},"            gradient = compute_gradient(X_single, y_single, w)\n",[5536,7774,7775],{"class":5538,"line":5679},[5536,7776,7777],{"class":6431},"            w = w - lr * gradient\n",[5536,7779,7780,7783,7786,7789,7792,7795],{"class":5538,"line":5685},[5536,7781,7782],{"class":6427},"            if",[5536,7784,7785],{"class":6592}," len",[5536,7787,7788],{"class":6431},"(trajectory) \u003C epochs * ",[5536,7790,7791],{"class":6481},"10",[5536,7793,7794],{"class":6431},":  ",[5536,7796,7797],{"class":6472},"# Зберігаємо кожні 40 оновлень\n",[5536,7799,7800,7803,7806,7809,7812,7814],{"class":5538,"line":5691},[5536,7801,7802],{"class":6427},"                if",[5536,7804,7805],{"class":6431}," i % ",[5536,7807,7808],{"class":6481},"40",[5536,7810,7811],{"class":6431}," == ",[5536,7813,6656],{"class":6481},[5536,7815,7816],{"class":6431},":\n",[5536,7818,7819],{"class":5538,"line":5697},[5536,7820,7821],{"class":6431},"                    trajectory.append(w.copy())\n",[5536,7823,7824],{"class":5538,"line":5703},[5536,7825,7603],{"class":6431},[5536,7827,7828,7830],{"class":5538,"line":5708},[5536,7829,6790],{"class":6427},[5536,7831,7643],{"class":6431},[5536,7833,7834],{"class":5538,"line":6197},[5536,7835,5567],{"emptyLinePlaceholder":5566},[5536,7837,7838,7840,7843,7845,7847,7849,7851,7853,7856,7858,7861,7863,7865,7867,7869,7871,7873,7875,7877],{"class":5538,"line":6202},[5536,7839,6773],{"class":6616},[5536,7841,7842],{"class":6592}," mini_batch_gradient_descent",[5536,7844,6613],{"class":6431},[5536,7846,6827],{"class":6781},[5536,7848,6552],{"class":6431},[5536,7850,6832],{"class":6781},[5536,7852,6552],{"class":6431},[5536,7854,7855],{"class":6781},"batch_size",[5536,7857,7141],{"class":6431},[5536,7859,7860],{"class":6481},"32",[5536,7862,6552],{"class":6431},[5536,7864,7549],{"class":6781},[5536,7866,7141],{"class":6431},[5536,7868,7484],{"class":6481},[5536,7870,6552],{"class":6431},[5536,7872,7558],{"class":6781},[5536,7874,7141],{"class":6431},[5536,7876,7563],{"class":6481},[5536,7878,6785],{"class":6431},[5536,7880,7881],{"class":5538,"line":6208},[5536,7882,7883],{"class":6620},"    \"\"\"Mini-batch GD: градієнт по невеликому батчу\"\"\"\n",[5536,7885,7886,7888,7890,7892,7894,7896,7898],{"class":5538,"line":6214},[5536,7887,7575],{"class":6431},[5536,7889,7578],{"class":6481},[5536,7891,6518],{"class":6431},[5536,7893,7583],{"class":6481},[5536,7895,6518],{"class":6431},[5536,7897,7583],{"class":6481},[5536,7899,6523],{"class":6431},[5536,7901,7902],{"class":5538,"line":6220},[5536,7903,7598],{"class":6431},[5536,7905,7906],{"class":5538,"line":6225},[5536,7907,7603],{"class":6431},[5536,7909,7910,7913,7915],{"class":5538,"line":6230},[5536,7911,7912],{"class":6431},"    n_batches = ",[5536,7914,6593],{"class":6592},[5536,7916,7917],{"class":6431},"(X) \u002F\u002F batch_size\n",[5536,7919,7920],{"class":5538,"line":7121},[5536,7921,7603],{"class":6431},[5536,7923,7924,7926,7928,7930,7932],{"class":5538,"line":7127},[5536,7925,7052],{"class":6427},[5536,7927,7610],{"class":6431},[5536,7929,7036],{"class":6427},[5536,7931,7039],{"class":6592},[5536,7933,7617],{"class":6431},[5536,7935,7936,7938,7940],{"class":5538,"line":7149},[5536,7937,7732],{"class":6431},[5536,7939,6593],{"class":6592},[5536,7941,6596],{"class":6431},[5536,7943,7944,7946,7948,7950,7952],{"class":5538,"line":7172},[5536,7945,7741],{"class":6427},[5536,7947,7033],{"class":6431},[5536,7949,7036],{"class":6427},[5536,7951,7039],{"class":6592},[5536,7953,7954],{"class":6431},"(n_batches):\n",[5536,7956,7957,7960,7962],{"class":5538,"line":7195},[5536,7958,7959],{"class":6431},"            batch_indices = indices[i * batch_size : (i+",[5536,7961,6414],{"class":6481},[5536,7963,7964],{"class":6431},") * batch_size]\n",[5536,7966,7967],{"class":5538,"line":7216},[5536,7968,7969],{"class":6431},"            X_batch = X[batch_indices]\n",[5536,7971,7972],{"class":5538,"line":7235},[5536,7973,7974],{"class":6431},"            y_batch = y[batch_indices]\n",[5536,7976,7977],{"class":5538,"line":7254},[5536,7978,7979],{"class":6431},"            gradient = compute_gradient(X_batch, y_batch, w)\n",[5536,7981,7982],{"class":5538,"line":7283},[5536,7983,7777],{"class":6431},[5536,7985,7986,7988,7991,7994,7996,7998,8000],{"class":5538,"line":7309},[5536,7987,7782],{"class":6427},[5536,7989,7990],{"class":6431}," epoch % ",[5536,7992,7993],{"class":6481},"4",[5536,7995,7811],{"class":6431},[5536,7997,6656],{"class":6481},[5536,7999,7794],{"class":6431},[5536,8001,8002],{"class":6472},"# Зберігаємо кожну 4-ту епоху\n",[5536,8004,8005],{"class":5538,"line":7331},[5536,8006,8007],{"class":6431},"                trajectory.append(w.copy())\n",[5536,8009,8010],{"class":5538,"line":7336},[5536,8011,7603],{"class":6431},[5536,8013,8014,8016],{"class":5538,"line":7342},[5536,8015,6790],{"class":6427},[5536,8017,7643],{"class":6431},[5536,8019,8020],{"class":5538,"line":7353},[5536,8021,5567],{"emptyLinePlaceholder":5566},[5536,8023,8024],{"class":5538,"line":7387},[5536,8025,8026],{"class":6472},"# Запускаємо три алгоритми\n",[5536,8028,8029,8032,8034,8036,8038,8040,8042,8044,8046],{"class":5538,"line":7411},[5536,8030,8031],{"class":6431},"traj_batch = batch_gradient_descent(X_bias, y, ",[5536,8033,7549],{"class":6781},[5536,8035,7141],{"class":6431},[5536,8037,7326],{"class":6481},[5536,8039,6552],{"class":6431},[5536,8041,7558],{"class":6781},[5536,8043,7141],{"class":6431},[5536,8045,7563],{"class":6481},[5536,8047,6485],{"class":6431},[5536,8049,8050,8053,8055,8057,8059,8061,8063,8065,8067],{"class":5538,"line":7429},[5536,8051,8052],{"class":6431},"traj_sgd = stochastic_gradient_descent(X_bias, y, ",[5536,8054,7549],{"class":6781},[5536,8056,7141],{"class":6431},[5536,8058,7671],{"class":6481},[5536,8060,6552],{"class":6431},[5536,8062,7558],{"class":6781},[5536,8064,7141],{"class":6431},[5536,8066,7563],{"class":6481},[5536,8068,6485],{"class":6431},[5536,8070,8071,8074,8076,8078,8080,8082,8084,8086,8088,8090,8092,8094,8096],{"class":5538,"line":7447},[5536,8072,8073],{"class":6431},"traj_minibatch = mini_batch_gradient_descent(X_bias, y, ",[5536,8075,7855],{"class":6781},[5536,8077,7141],{"class":6431},[5536,8079,7860],{"class":6481},[5536,8081,6552],{"class":6431},[5536,8083,7549],{"class":6781},[5536,8085,7141],{"class":6431},[5536,8087,7484],{"class":6481},[5536,8089,6552],{"class":6431},[5536,8091,7558],{"class":6781},[5536,8093,7141],{"class":6431},[5536,8095,7563],{"class":6481},[5536,8097,6485],{"class":6431},[5536,8099,8100],{"class":5538,"line":7474},[5536,8101,5567],{"emptyLinePlaceholder":5566},[5536,8103,8104,8106,8108,8110,8113,8115,8117,8120,8122,8125],{"class":5538,"line":7489},[5536,8105,6610],{"class":6592},[5536,8107,6613],{"class":6431},[5536,8109,6617],{"class":6616},[5536,8111,8112],{"class":6620},"\"Траєкторія Batch GD: ",[5536,8114,6624],{"class":6616},[5536,8116,6593],{"class":6592},[5536,8118,8119],{"class":6431},"(traj_batch)",[5536,8121,6632],{"class":6616},[5536,8123,8124],{"class":6620}," точок\"",[5536,8126,6485],{"class":6431},[5536,8128,8129,8131,8133,8135,8138,8140,8142,8145,8147,8149],{"class":5538,"line":7494},[5536,8130,6610],{"class":6592},[5536,8132,6613],{"class":6431},[5536,8134,6617],{"class":6616},[5536,8136,8137],{"class":6620},"\"Траєкторія SGD: ",[5536,8139,6624],{"class":6616},[5536,8141,6593],{"class":6592},[5536,8143,8144],{"class":6431},"(traj_sgd)",[5536,8146,6632],{"class":6616},[5536,8148,8124],{"class":6620},[5536,8150,6485],{"class":6431},[5536,8152,8153,8155,8157,8159,8162,8164,8166,8169,8171,8173],{"class":5538,"line":7500},[5536,8154,6610],{"class":6592},[5536,8156,6613],{"class":6431},[5536,8158,6617],{"class":6616},[5536,8160,8161],{"class":6620},"\"Траєкторія Mini-batch GD: ",[5536,8163,6624],{"class":6616},[5536,8165,6593],{"class":6592},[5536,8167,8168],{"class":6431},"(traj_minibatch)",[5536,8170,6632],{"class":6616},[5536,8172,8124],{"class":6620},[5536,8174,6485],{"class":6431},[6692,8176,8177],{"v-slot:output":5532},[6239,8178,8179,8192],{},[6242,8180,8181],{},[6245,8182,8183,8186,8189],{},[6248,8184,8185],{"align":6250},"Алгоритм",[6248,8187,8188],{"align":6250},"Кількість збережених точок",[6248,8190,8191],{"align":6250},"Кількість оновлень ваг",[6262,8193,8194,8207,8219],{},[6245,8195,8196,8201,8204],{},[6267,8197,8198],{"align":6250},[5195,8199,8200],{},"Batch GD",[6267,8202,8203],{"align":6250},"51",[6267,8205,8206],{"align":6250},"50 (1 на епоху)",[6245,8208,8209,8214,8216],{},[6267,8210,8211],{"align":6250},[5195,8212,8213],{},"SGD",[6267,8215,6804],{"align":6250},[6267,8217,8218],{"align":6250},"20,000 (400 на епоху)",[6245,8220,8221,8226,8229],{},[6267,8222,8223],{"align":6250},[5195,8224,8225],{},"Mini-batch GD",[6267,8227,8228],{"align":6250},"625",[6267,8230,8231],{"align":6250},"625 (12.5 на епоху)",[6402,8233,8235,8869],{"execution-count":7993,"execution-time":8234},"1.58s",[5527,8236,8238],{"className":6418,"code":8237,"language":6420,"meta":5532,"style":5532},"# Візуалізація траєкторій на контурній карті\nfig, axes = plt.subplots(1, 3, figsize=(18, 6))\n\nfor idx, (ax, traj, title, color) in enumerate([\n    (axes[0], traj_batch, 'Batch Gradient Descent', '#3b82f6'),\n    (axes[1], traj_sgd, 'Stochastic GD (SGD)', '#ef4444'),\n    (axes[2], traj_minibatch, 'Mini-batch GD', '#22c55e')\n]):\n    # Контурна карта\n    contour = ax.contour(W0, W1, Z, levels=20, cmap='gray', alpha=0.3, linewidths=0.5)\n    \n    # Траєкторія оптимізації\n    ax.plot(traj[:, 1], traj[:, 2], 'o-', color=color, linewidth=2, \n            markersize=4, alpha=0.7, label='Траєкторія')\n    \n    # Початкова точка\n    ax.plot(traj[0, 1], traj[0, 2], 'o', color='black', markersize=12, \n            label='Старт', zorder=5)\n    \n    # Кінцева точка\n    ax.plot(traj[-1, 1], traj[-1, 2], '*', color='gold', markersize=20, \n            label='Фініш', zorder=5, edgecolor='black', linewidth=1.5)\n    \n    ax.set_xlabel('w₁', fontsize=12)\n    ax.set_ylabel('w₂', fontsize=12)\n    ax.set_title(title, fontsize=14, fontweight='bold')\n    ax.grid(alpha=0.3)\n    ax.legend(fontsize=10)\n    ax.set_xlim([-3, 3])\n    ax.set_ylim([-3, 3])\n\nplt.tight_layout()\nplt.show()\n\n# Виведемо фінальні втрати\nprint(\"\\n📊 Фінальні результати:\")\nprint(f\"Batch GD:      Loss = {compute_loss(X_bias, y, traj_batch[-1]):.6f}\")\nprint(f\"SGD:           Loss = {compute_loss(X_bias, y, traj_sgd[-1]):.6f}\")\nprint(f\"Mini-batch GD: Loss = {compute_loss(X_bias, y, traj_minibatch[-1]):.6f}\")\n",[5308,8239,8240,8245,8271,8275,8290,8311,8330,8349,8353,8358,8398,8402,8407,8442,8471,8475,8480,8525,8547,8551,8556,8600,8637,8641,8659,8677,8698,8711,8724,8737,8750,8754,8758,8762,8766,8771,8789,8817,8843],{"__ignoreMap":5532},[5536,8241,8242],{"class":5538,"line":5539},[5536,8243,8244],{"class":6472},"# Візуалізація траєкторій на контурній карті\n",[5536,8246,8247,8250,8252,8254,8256,8258,8260,8262,8265,8267,8269],{"class":5538,"line":5545},[5536,8248,8249],{"class":6431},"fig, axes = plt.subplots(",[5536,8251,6414],{"class":6481},[5536,8253,6552],{"class":6431},[5536,8255,6983],{"class":6481},[5536,8257,6552],{"class":6431},[5536,8259,7100],{"class":6781},[5536,8261,7103],{"class":6431},[5536,8263,8264],{"class":6481},"18",[5536,8266,6552],{"class":6431},[5536,8268,7111],{"class":6481},[5536,8270,7114],{"class":6431},[5536,8272,8273],{"class":5538,"line":5551},[5536,8274,5567],{"emptyLinePlaceholder":5566},[5536,8276,8277,8279,8282,8284,8287],{"class":5538,"line":5557},[5536,8278,7030],{"class":6427},[5536,8280,8281],{"class":6431}," idx, (ax, traj, title, color) ",[5536,8283,7036],{"class":6427},[5536,8285,8286],{"class":6592}," enumerate",[5536,8288,8289],{"class":6431},"([\n",[5536,8291,8292,8295,8297,8300,8303,8305,8308],{"class":5538,"line":5563},[5536,8293,8294],{"class":6431},"    (axes[",[5536,8296,6656],{"class":6481},[5536,8298,8299],{"class":6431},"], traj_batch, ",[5536,8301,8302],{"class":6620},"'Batch Gradient Descent'",[5536,8304,6552],{"class":6431},[5536,8306,8307],{"class":6620},"'#3b82f6'",[5536,8309,8310],{"class":6431},"),\n",[5536,8312,8313,8315,8317,8320,8323,8325,8328],{"class":5538,"line":5570},[5536,8314,8294],{"class":6431},[5536,8316,6414],{"class":6481},[5536,8318,8319],{"class":6431},"], traj_sgd, ",[5536,8321,8322],{"class":6620},"'Stochastic GD (SGD)'",[5536,8324,6552],{"class":6431},[5536,8326,8327],{"class":6620},"'#ef4444'",[5536,8329,8310],{"class":6431},[5536,8331,8332,8334,8336,8339,8342,8344,8347],{"class":5538,"line":5576},[5536,8333,8294],{"class":6431},[5536,8335,6510],{"class":6481},[5536,8337,8338],{"class":6431},"], traj_minibatch, ",[5536,8340,8341],{"class":6620},"'Mini-batch GD'",[5536,8343,6552],{"class":6431},[5536,8345,8346],{"class":6620},"'#22c55e'",[5536,8348,6485],{"class":6431},[5536,8350,8351],{"class":5538,"line":5582},[5536,8352,7047],{"class":6431},[5536,8354,8355],{"class":5538,"line":5588},[5536,8356,8357],{"class":6472},"    # Контурна карта\n",[5536,8359,8360,8363,8365,8367,8370,8372,8374,8376,8379,8381,8383,8385,8387,8389,8392,8394,8396],{"class":5538,"line":5593},[5536,8361,8362],{"class":6431},"    contour = ax.contour(W0, W1, Z, ",[5536,8364,7359],{"class":6781},[5536,8366,7141],{"class":6431},[5536,8368,8369],{"class":6481},"20",[5536,8371,6552],{"class":6431},[5536,8373,7155],{"class":6781},[5536,8375,7141],{"class":6431},[5536,8377,8378],{"class":6620},"'gray'",[5536,8380,6552],{"class":6431},[5536,8382,7161],{"class":6781},[5536,8384,7141],{"class":6431},[5536,8386,7484],{"class":6481},[5536,8388,6552],{"class":6431},[5536,8390,8391],{"class":6781},"linewidths",[5536,8393,7141],{"class":6431},[5536,8395,7326],{"class":6481},[5536,8397,6485],{"class":6431},[5536,8399,8400],{"class":5538,"line":5599},[5536,8401,7603],{"class":6431},[5536,8403,8404],{"class":5538,"line":5604},[5536,8405,8406],{"class":6472},"    # Траєкторія оптимізації\n",[5536,8408,8409,8412,8414,8417,8419,8422,8425,8427,8430,8433,8436,8438,8440],{"class":5538,"line":5610},[5536,8410,8411],{"class":6431},"    ax.plot(traj[:, ",[5536,8413,6414],{"class":6481},[5536,8415,8416],{"class":6431},"], traj[:, ",[5536,8418,6510],{"class":6481},[5536,8420,8421],{"class":6431},"], ",[5536,8423,8424],{"class":6620},"'o-'",[5536,8426,6552],{"class":6431},[5536,8428,8429],{"class":6781},"color",[5536,8431,8432],{"class":6431},"=color, ",[5536,8434,8435],{"class":6781},"linewidth",[5536,8437,7141],{"class":6431},[5536,8439,6510],{"class":6481},[5536,8441,7169],{"class":6431},[5536,8443,8444,8447,8449,8451,8453,8455,8457,8459,8461,8464,8466,8469],{"class":5538,"line":5616},[5536,8445,8446],{"class":6781},"            markersize",[5536,8448,7141],{"class":6431},[5536,8450,7993],{"class":6481},[5536,8452,6552],{"class":6431},[5536,8454,7161],{"class":6781},[5536,8456,7141],{"class":6431},[5536,8458,7382],{"class":6481},[5536,8460,6552],{"class":6431},[5536,8462,8463],{"class":6781},"label",[5536,8465,7141],{"class":6431},[5536,8467,8468],{"class":6620},"'Траєкторія'",[5536,8470,6485],{"class":6431},[5536,8472,8473],{"class":5538,"line":5622},[5536,8474,7603],{"class":6431},[5536,8476,8477],{"class":5538,"line":5628},[5536,8478,8479],{"class":6472},"    # Початкова точка\n",[5536,8481,8482,8485,8487,8489,8491,8494,8496,8498,8500,8502,8505,8507,8509,8511,8514,8516,8519,8521,8523],{"class":5538,"line":5634},[5536,8483,8484],{"class":6431},"    ax.plot(traj[",[5536,8486,6656],{"class":6481},[5536,8488,6552],{"class":6431},[5536,8490,6414],{"class":6481},[5536,8492,8493],{"class":6431},"], traj[",[5536,8495,6656],{"class":6481},[5536,8497,6552],{"class":6431},[5536,8499,6510],{"class":6481},[5536,8501,8421],{"class":6431},[5536,8503,8504],{"class":6620},"'o'",[5536,8506,6552],{"class":6431},[5536,8508,8429],{"class":6781},[5536,8510,7141],{"class":6431},[5536,8512,8513],{"class":6620},"'black'",[5536,8515,6552],{"class":6431},[5536,8517,8518],{"class":6781},"markersize",[5536,8520,7141],{"class":6431},[5536,8522,7211],{"class":6481},[5536,8524,7169],{"class":6431},[5536,8526,8527,8530,8532,8535,8537,8540,8542,8545],{"class":5538,"line":5639},[5536,8528,8529],{"class":6781},"            label",[5536,8531,7141],{"class":6431},[5536,8533,8534],{"class":6620},"'Старт'",[5536,8536,6552],{"class":6431},[5536,8538,8539],{"class":6781},"zorder",[5536,8541,7141],{"class":6431},[5536,8543,8544],{"class":6481},"5",[5536,8546,6485],{"class":6431},[5536,8548,8549],{"class":5538,"line":5645},[5536,8550,7603],{"class":6431},[5536,8552,8553],{"class":5538,"line":5650},[5536,8554,8555],{"class":6472},"    # Кінцева точка\n",[5536,8557,8558,8561,8563,8565,8567,8570,8572,8574,8576,8578,8581,8583,8585,8587,8590,8592,8594,8596,8598],{"class":5538,"line":5656},[5536,8559,8560],{"class":6431},"    ax.plot(traj[-",[5536,8562,6414],{"class":6481},[5536,8564,6552],{"class":6431},[5536,8566,6414],{"class":6481},[5536,8568,8569],{"class":6431},"], traj[-",[5536,8571,6414],{"class":6481},[5536,8573,6552],{"class":6431},[5536,8575,6510],{"class":6481},[5536,8577,8421],{"class":6431},[5536,8579,8580],{"class":6620},"'*'",[5536,8582,6552],{"class":6431},[5536,8584,8429],{"class":6781},[5536,8586,7141],{"class":6431},[5536,8588,8589],{"class":6620},"'gold'",[5536,8591,6552],{"class":6431},[5536,8593,8518],{"class":6781},[5536,8595,7141],{"class":6431},[5536,8597,8369],{"class":6481},[5536,8599,7169],{"class":6431},[5536,8601,8602,8604,8606,8609,8611,8613,8615,8617,8619,8622,8624,8626,8628,8630,8632,8635],{"class":5538,"line":5662},[5536,8603,8529],{"class":6781},[5536,8605,7141],{"class":6431},[5536,8607,8608],{"class":6620},"'Фініш'",[5536,8610,6552],{"class":6431},[5536,8612,8539],{"class":6781},[5536,8614,7141],{"class":6431},[5536,8616,8544],{"class":6481},[5536,8618,6552],{"class":6431},[5536,8620,8621],{"class":6781},"edgecolor",[5536,8623,7141],{"class":6431},[5536,8625,8513],{"class":6620},[5536,8627,6552],{"class":6431},[5536,8629,8435],{"class":6781},[5536,8631,7141],{"class":6431},[5536,8633,8634],{"class":6481},"1.5",[5536,8636,6485],{"class":6431},[5536,8638,8639],{"class":5538,"line":5668},[5536,8640,7603],{"class":6431},[5536,8642,8643,8646,8649,8651,8653,8655,8657],{"class":5538,"line":5673},[5536,8644,8645],{"class":6431},"    ax.set_xlabel(",[5536,8647,8648],{"class":6620},"'w₁'",[5536,8650,6552],{"class":6431},[5536,8652,7206],{"class":6781},[5536,8654,7141],{"class":6431},[5536,8656,7211],{"class":6481},[5536,8658,6485],{"class":6431},[5536,8660,8661,8664,8667,8669,8671,8673,8675],{"class":5538,"line":5679},[5536,8662,8663],{"class":6431},"    ax.set_ylabel(",[5536,8665,8666],{"class":6620},"'w₂'",[5536,8668,6552],{"class":6431},[5536,8670,7206],{"class":6781},[5536,8672,7141],{"class":6431},[5536,8674,7211],{"class":6481},[5536,8676,6485],{"class":6431},[5536,8678,8679,8682,8684,8686,8688,8690,8692,8694,8696],{"class":5538,"line":5685},[5536,8680,8681],{"class":6431},"    ax.set_title(title, ",[5536,8683,7206],{"class":6781},[5536,8685,7141],{"class":6431},[5536,8687,7106],{"class":6481},[5536,8689,6552],{"class":6431},[5536,8691,7273],{"class":6781},[5536,8693,7141],{"class":6431},[5536,8695,7278],{"class":6620},[5536,8697,6485],{"class":6431},[5536,8699,8700,8703,8705,8707,8709],{"class":5538,"line":5691},[5536,8701,8702],{"class":6431},"    ax.grid(",[5536,8704,7161],{"class":6781},[5536,8706,7141],{"class":6431},[5536,8708,7484],{"class":6481},[5536,8710,6485],{"class":6431},[5536,8712,8713,8716,8718,8720,8722],{"class":5538,"line":5697},[5536,8714,8715],{"class":6431},"    ax.legend(",[5536,8717,7206],{"class":6781},[5536,8719,7141],{"class":6431},[5536,8721,7791],{"class":6481},[5536,8723,6485],{"class":6431},[5536,8725,8726,8729,8731,8733,8735],{"class":5538,"line":5703},[5536,8727,8728],{"class":6431},"    ax.set_xlim([-",[5536,8730,6983],{"class":6481},[5536,8732,6552],{"class":6431},[5536,8734,6983],{"class":6481},[5536,8736,6523],{"class":6431},[5536,8738,8739,8742,8744,8746,8748],{"class":5538,"line":5708},[5536,8740,8741],{"class":6431},"    ax.set_ylim([-",[5536,8743,6983],{"class":6481},[5536,8745,6552],{"class":6431},[5536,8747,6983],{"class":6481},[5536,8749,6523],{"class":6431},[5536,8751,8752],{"class":5538,"line":6197},[5536,8753,5567],{"emptyLinePlaceholder":5566},[5536,8755,8756],{"class":5538,"line":6202},[5536,8757,7497],{"class":6431},[5536,8759,8760],{"class":5538,"line":6208},[5536,8761,7503],{"class":6431},[5536,8763,8764],{"class":5538,"line":6214},[5536,8765,5567],{"emptyLinePlaceholder":5566},[5536,8767,8768],{"class":5538,"line":6220},[5536,8769,8770],{"class":6472},"# Виведемо фінальні втрати\n",[5536,8772,8773,8775,8777,8780,8784,8787],{"class":5538,"line":6225},[5536,8774,6610],{"class":6592},[5536,8776,6613],{"class":6431},[5536,8778,8779],{"class":6620},"\"",[5536,8781,8783],{"class":8782},"sjcCO","\\n",[5536,8785,8786],{"class":6620},"📊 Фінальні результати:\"",[5536,8788,6485],{"class":6431},[5536,8790,8791,8793,8795,8797,8800,8802,8805,8807,8810,8813,8815],{"class":5538,"line":6230},[5536,8792,6610],{"class":6592},[5536,8794,6613],{"class":6431},[5536,8796,6617],{"class":6616},[5536,8798,8799],{"class":6620},"\"Batch GD:      Loss = ",[5536,8801,6624],{"class":6616},[5536,8803,8804],{"class":6431},"compute_loss(X_bias, y, traj_batch[-",[5536,8806,6414],{"class":6481},[5536,8808,8809],{"class":6431},"])",[5536,8811,8812],{"class":6616},":.6f}",[5536,8814,8779],{"class":6620},[5536,8816,6485],{"class":6431},[5536,8818,8819,8821,8823,8825,8828,8830,8833,8835,8837,8839,8841],{"class":5538,"line":7121},[5536,8820,6610],{"class":6592},[5536,8822,6613],{"class":6431},[5536,8824,6617],{"class":6616},[5536,8826,8827],{"class":6620},"\"SGD:           Loss = ",[5536,8829,6624],{"class":6616},[5536,8831,8832],{"class":6431},"compute_loss(X_bias, y, traj_sgd[-",[5536,8834,6414],{"class":6481},[5536,8836,8809],{"class":6431},[5536,8838,8812],{"class":6616},[5536,8840,8779],{"class":6620},[5536,8842,6485],{"class":6431},[5536,8844,8845,8847,8849,8851,8854,8856,8859,8861,8863,8865,8867],{"class":5538,"line":7127},[5536,8846,6610],{"class":6592},[5536,8848,6613],{"class":6431},[5536,8850,6617],{"class":6616},[5536,8852,8853],{"class":6620},"\"Mini-batch GD: Loss = ",[5536,8855,6624],{"class":6616},[5536,8857,8858],{"class":6431},"compute_loss(X_bias, y, traj_minibatch[-",[5536,8860,6414],{"class":6481},[5536,8862,8809],{"class":6431},[5536,8864,8812],{"class":6616},[5536,8866,8779],{"class":6620},[5536,8868,6485],{"class":6431},[6692,8870,8871,8878,8884],{"v-slot:output":5532},[5191,8872,8873],{},[7507,8874],{"alt":8875,"className":8876,"src":8877},"Порівняння траєкторій оптимізації: Batch GD рухається плавно, SGD — хаотично, Mini-batch GD — збалансовано",[7511],"\u002Fimages\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent\u002F02.png",[5191,8879,8880,8881],{},"📊 ",[5195,8882,8883],{},"Фінальні результати:",[6239,8885,8886,8898],{},[6242,8887,8888],{},[6245,8889,8890,8892,8895],{},[6248,8891,8185],{"align":6250},[6248,8893,8894],{"align":6250},"Фінальна втрата (Loss)",[6248,8896,8897],{"align":6250},"Характер руху",[6262,8899,8900,8912,8924],{},[6245,8901,8902,8906,8909],{},[6267,8903,8904],{"align":6250},[5195,8905,8200],{},[6267,8907,8908],{"align":6250},"0.324518",[6267,8910,8911],{"align":6250},"Плавний, прямий шлях до мінімуму",[6245,8913,8914,8918,8921],{},[6267,8915,8916],{"align":6250},[5195,8917,8213],{},[6267,8919,8920],{"align":6250},"0.325843",[6267,8922,8923],{"align":6250},"Хаотичний, постійні коливання",[6245,8925,8926,8930,8933],{},[6267,8927,8928],{"align":6250},[5195,8929,8225],{},[6267,8931,8932],{"align":6250},"0.324672",[6267,8934,8935],{"align":6250},"Баланс: швидко та стабільно",[5191,8937,5234],{},[5478,8939,8940,8945],{},[5191,8941,8942],{},[5195,8943,8944],{},"Інтерпретація результатів:",[5295,8946,8947,8956,8965],{},[5298,8948,8949,8951,8952,8955],{},[5195,8950,8200],{}," (синя траєкторія): рухається ",[5195,8953,8954],{},"найпрямішим шляхом"," до мінімуму, але робить лише 50 кроків. Якби датасет був у 10 разів більшим, кожен крок займав би у 10 разів більше часу.",[5298,8957,8958,8960,8961,8964],{},[5195,8959,8213],{}," (червона траєкторія): робить ",[5195,8962,8963],{},"багато дрібних кроків",", які хаотично стрибають навколо оптимуму. Градієнт одного прикладу дуже шумний. Навіть після конвергенції траєкторія продовжує блукати.",[5298,8966,8967,8969,8970,8973],{},[5195,8968,8225],{}," (зелена траєкторія): ",[5195,8971,8972],{},"золота середина"," — достатньо кроків для швидкої конвергенції, але градієнт достатньо стабільний для прямого руху. Це пояснює, чому Mini-batch став стандартом індустрії.",[5359,8975],{},[5186,8977,8979],{"id":8978},"pytorch-dataloader-ефективне-завантаження-даних","PyTorch DataLoader — ефективне завантаження даних",[5191,8981,8982,8983,8986],{},"Тепер, коли ми розуміємо теорію Mini-batch GD, перейдемо до практичної реалізації у PyTorch. Клас ",[5308,8984,8985],{},"torch.utils.data.DataLoader"," автоматизує розбиття датасету на батчі, перемішування та паралельне завантаження.",[5378,8988,8990],{"id":8989},"анатомія-dataloader","Анатомія DataLoader",[5191,8992,8993,8995,8996,8999],{},[5308,8994,5310],{}," приймає датасет (об'єкт класу ",[5308,8997,8998],{},"Dataset",") та створює ітератор, що повертає батчі даних. Основні параметри:",[6239,9001,9002,9014],{},[6242,9003,9004],{},[6245,9005,9006,9008,9011],{},[6248,9007,6702],{"align":6250},[6248,9009,9010],{"align":6250},"Тип",[6248,9012,9013],{"align":6250},"Опис",[6262,9015,9016,9033,9047,9062,9076,9090],{},[6245,9017,9018,9023,9027],{},[6267,9019,9020],{"align":6250},[5308,9021,9022],{},"dataset",[6267,9024,9025],{"align":6250},[5308,9026,8998],{},[6267,9028,9029,9030,5411],{"align":6250},"Об'єкт датасету (наприклад, ",[5308,9031,9032],{},"torchvision.datasets.MNIST",[6245,9034,9035,9039,9044],{},[6267,9036,9037],{"align":6250},[5308,9038,7855],{},[6267,9040,9041],{"align":6250},[5308,9042,9043],{},"int",[6267,9045,9046],{"align":6250},"Розмір батчу (кількість прикладів)",[6245,9048,9049,9054,9059],{},[6267,9050,9051],{"align":6250},[5308,9052,9053],{},"shuffle",[6267,9055,9056],{"align":6250},[5308,9057,9058],{},"bool",[6267,9060,9061],{"align":6250},"Перемішувати датасет перед кожною епохою (для train=True, для val\u002Ftest=False)",[6245,9063,9064,9069,9073],{},[6267,9065,9066],{"align":6250},[5308,9067,9068],{},"num_workers",[6267,9070,9071],{"align":6250},[5308,9072,9043],{},[6267,9074,9075],{"align":6250},"Кількість паралельних процесів для завантаження даних (0 = основний процес)",[6245,9077,9078,9083,9087],{},[6267,9079,9080],{"align":6250},[5308,9081,9082],{},"pin_memory",[6267,9084,9085],{"align":6250},[5308,9086,9058],{},[6267,9088,9089],{"align":6250},"Зберігати дані у pinned memory для швидшого копіювання на GPU",[6245,9091,9092,9097,9101],{},[6267,9093,9094],{"align":6250},[5308,9095,9096],{},"drop_last",[6267,9098,9099],{"align":6250},[5308,9100,9058],{},[6267,9102,9103],{"align":6250},"Відкинути останній неповний батч (якщо датасет не ділиться націло на batch_size)",[6397,9105,9107,9116,9481],{"title":9106,"kernel":6400},"pytorch_dataloader_demo.ipynb",[6402,9108,9109,9113],{"type":6404},[5378,9110,9112],{"id":9111},"приклад-1-базове-використання-dataloader","Приклад 1: Базове використання DataLoader",[5191,9114,9115],{},"Завантажимо Fashion-MNIST та створимо DataLoader з різними конфігураціями.",[6402,9117,9119,9417],{"execution-count":6414,"execution-time":9118},"2.15s",[5527,9120,9122],{"className":6418,"code":9121,"language":6420,"meta":5532,"style":5532},"import torch\nfrom torch.utils.data import DataLoader\nfrom torchvision import datasets, transforms\n\n# Трансформації: перетворення PIL Image → Tensor та нормалізація\ntransform = transforms.Compose([\n    transforms.ToTensor(),  # [0, 255] → [0.0, 1.0]\n    transforms.Normalize((0.5,), (0.5,))  # [0, 1] → [-1, 1]\n])\n\n# Завантаження датасету Fashion-MNIST\ntrain_dataset = datasets.FashionMNIST(\n    root='.\u002Fdata',\n    train=True,\n    download=True,\n    transform=transform\n)\n\ntest_dataset = datasets.FashionMNIST(\n    root='.\u002Fdata',\n    train=False,\n    download=True,\n    transform=transform\n)\n\nprint(f\"Тренувальний датасет: {len(train_dataset)} зображень\")\nprint(f\"Тестовий датасет: {len(test_dataset)} зображень\")\nprint(f\"Форма одного зображення: {train_dataset[0][0].shape}\")\nprint(f\"Мітки класів: {train_dataset.classes}\")\n",[5308,9123,9124,9131,9143,9155,9159,9164,9169,9177,9195,9199,9203,9208,9213,9226,9237,9248,9256,9260,9264,9269,9279,9290,9300,9306,9310,9314,9339,9363,9395],{"__ignoreMap":5532},[5536,9125,9126,9128],{"class":5538,"line":5539},[5536,9127,6428],{"class":6427},[5536,9129,9130],{"class":6431}," torch\n",[5536,9132,9133,9135,9138,9140],{"class":5538,"line":5545},[5536,9134,6455],{"class":6427},[5536,9136,9137],{"class":6431}," torch.utils.data ",[5536,9139,6428],{"class":6427},[5536,9141,9142],{"class":6431}," DataLoader\n",[5536,9144,9145,9147,9150,9152],{"class":5538,"line":5551},[5536,9146,6455],{"class":6427},[5536,9148,9149],{"class":6431}," torchvision ",[5536,9151,6428],{"class":6427},[5536,9153,9154],{"class":6431}," datasets, transforms\n",[5536,9156,9157],{"class":5538,"line":5557},[5536,9158,5567],{"emptyLinePlaceholder":5566},[5536,9160,9161],{"class":5538,"line":5563},[5536,9162,9163],{"class":6472},"# Трансформації: перетворення PIL Image → Tensor та нормалізація\n",[5536,9165,9166],{"class":5538,"line":5570},[5536,9167,9168],{"class":6431},"transform = transforms.Compose([\n",[5536,9170,9171,9174],{"class":5538,"line":5576},[5536,9172,9173],{"class":6431},"    transforms.ToTensor(),  ",[5536,9175,9176],{"class":6472},"# [0, 255] → [0.0, 1.0]\n",[5536,9178,9179,9182,9184,9187,9189,9192],{"class":5538,"line":5582},[5536,9180,9181],{"class":6431},"    transforms.Normalize((",[5536,9183,7326],{"class":6481},[5536,9185,9186],{"class":6431},",), (",[5536,9188,7326],{"class":6481},[5536,9190,9191],{"class":6431},",))  ",[5536,9193,9194],{"class":6472},"# [0, 1] → [-1, 1]\n",[5536,9196,9197],{"class":5538,"line":5588},[5536,9198,6523],{"class":6431},[5536,9200,9201],{"class":5538,"line":5593},[5536,9202,5567],{"emptyLinePlaceholder":5566},[5536,9204,9205],{"class":5538,"line":5599},[5536,9206,9207],{"class":6472},"# Завантаження датасету Fashion-MNIST\n",[5536,9209,9210],{"class":5538,"line":5604},[5536,9211,9212],{"class":6431},"train_dataset = datasets.FashionMNIST(\n",[5536,9214,9215,9218,9220,9223],{"class":5538,"line":5610},[5536,9216,9217],{"class":6781},"    root",[5536,9219,7141],{"class":6431},[5536,9221,9222],{"class":6620},"'.\u002Fdata'",[5536,9224,9225],{"class":6431},",\n",[5536,9227,9228,9231,9233,9235],{"class":5538,"line":5616},[5536,9229,9230],{"class":6781},"    train",[5536,9232,7141],{"class":6431},[5536,9234,7190],{"class":6616},[5536,9236,9225],{"class":6431},[5536,9238,9239,9242,9244,9246],{"class":5538,"line":5622},[5536,9240,9241],{"class":6781},"    download",[5536,9243,7141],{"class":6431},[5536,9245,7190],{"class":6616},[5536,9247,9225],{"class":6431},[5536,9249,9250,9253],{"class":5538,"line":5628},[5536,9251,9252],{"class":6781},"    transform",[5536,9254,9255],{"class":6431},"=transform\n",[5536,9257,9258],{"class":5538,"line":5634},[5536,9259,6485],{"class":6431},[5536,9261,9262],{"class":5538,"line":5639},[5536,9263,5567],{"emptyLinePlaceholder":5566},[5536,9265,9266],{"class":5538,"line":5645},[5536,9267,9268],{"class":6431},"test_dataset = datasets.FashionMNIST(\n",[5536,9270,9271,9273,9275,9277],{"class":5538,"line":5650},[5536,9272,9217],{"class":6781},[5536,9274,7141],{"class":6431},[5536,9276,9222],{"class":6620},[5536,9278,9225],{"class":6431},[5536,9280,9281,9283,9285,9288],{"class":5538,"line":5656},[5536,9282,9230],{"class":6781},[5536,9284,7141],{"class":6431},[5536,9286,9287],{"class":6616},"False",[5536,9289,9225],{"class":6431},[5536,9291,9292,9294,9296,9298],{"class":5538,"line":5662},[5536,9293,9241],{"class":6781},[5536,9295,7141],{"class":6431},[5536,9297,7190],{"class":6616},[5536,9299,9225],{"class":6431},[5536,9301,9302,9304],{"class":5538,"line":5668},[5536,9303,9252],{"class":6781},[5536,9305,9255],{"class":6431},[5536,9307,9308],{"class":5538,"line":5673},[5536,9309,6485],{"class":6431},[5536,9311,9312],{"class":5538,"line":5679},[5536,9313,5567],{"emptyLinePlaceholder":5566},[5536,9315,9316,9318,9320,9322,9325,9327,9329,9332,9334,9337],{"class":5538,"line":5685},[5536,9317,6610],{"class":6592},[5536,9319,6613],{"class":6431},[5536,9321,6617],{"class":6616},[5536,9323,9324],{"class":6620},"\"Тренувальний датасет: ",[5536,9326,6624],{"class":6616},[5536,9328,6593],{"class":6592},[5536,9330,9331],{"class":6431},"(train_dataset)",[5536,9333,6632],{"class":6616},[5536,9335,9336],{"class":6620}," зображень\"",[5536,9338,6485],{"class":6431},[5536,9340,9341,9343,9345,9347,9350,9352,9354,9357,9359,9361],{"class":5538,"line":5691},[5536,9342,6610],{"class":6592},[5536,9344,6613],{"class":6431},[5536,9346,6617],{"class":6616},[5536,9348,9349],{"class":6620},"\"Тестовий датасет: ",[5536,9351,6624],{"class":6616},[5536,9353,6593],{"class":6592},[5536,9355,9356],{"class":6431},"(test_dataset)",[5536,9358,6632],{"class":6616},[5536,9360,9336],{"class":6620},[5536,9362,6485],{"class":6431},[5536,9364,9365,9367,9369,9371,9374,9376,9379,9381,9384,9386,9389,9391,9393],{"class":5538,"line":5697},[5536,9366,6610],{"class":6592},[5536,9368,6613],{"class":6431},[5536,9370,6617],{"class":6616},[5536,9372,9373],{"class":6620},"\"Форма одного зображення: ",[5536,9375,6624],{"class":6616},[5536,9377,9378],{"class":6431},"train_dataset[",[5536,9380,6656],{"class":6481},[5536,9382,9383],{"class":6431},"][",[5536,9385,6656],{"class":6481},[5536,9387,9388],{"class":6431},"].shape",[5536,9390,6632],{"class":6616},[5536,9392,8779],{"class":6620},[5536,9394,6485],{"class":6431},[5536,9396,9397,9399,9401,9403,9406,9408,9411,9413,9415],{"class":5538,"line":5703},[5536,9398,6610],{"class":6592},[5536,9400,6613],{"class":6431},[5536,9402,6617],{"class":6616},[5536,9404,9405],{"class":6620},"\"Мітки класів: ",[5536,9407,6624],{"class":6616},[5536,9409,9410],{"class":6431},"train_dataset.classes",[5536,9412,6632],{"class":6616},[5536,9414,8779],{"class":6620},[5536,9416,6485],{"class":6431},[6692,9418,9419,9426],{"v-slot:output":5532},[5191,9420,9421,9422,9425],{},"Downloading Fashion-MNIST dataset...",[9423,9424],"br",{},"\n✅ Завершено",[6239,9427,9428,9436],{},[6242,9429,9430],{},[6245,9431,9432,9434],{},[6248,9433,6702],{"align":6250},[6248,9435,6705],{"align":6250},[6262,9437,9438,9448,9458,9471],{},[6245,9439,9440,9445],{},[6267,9441,9442],{"align":6250},[5195,9443,9444],{},"Тренувальний датасет",[6267,9446,9447],{"align":6250},"60,000 зображень",[6245,9449,9450,9455],{},[6267,9451,9452],{"align":6250},[5195,9453,9454],{},"Тестовий датасет",[6267,9456,9457],{"align":6250},"10,000 зображень",[6245,9459,9460,9465],{},[6267,9461,9462],{"align":6250},[5195,9463,9464],{},"Форма зображення",[6267,9466,9467,9470],{"align":6250},[5308,9468,9469],{},"torch.Size([1, 28, 28])"," (1 канал, 28×28 пікселів)",[6245,9472,9473,9478],{},[6267,9474,9475],{"align":6250},[5195,9476,9477],{},"Класи",[6267,9479,9480],{"align":6250},"T-shirt, Trouser, Pullover, Dress, Coat, Sandal, Shirt, Sneaker, Bag, Ankle boot",[6402,9482,9483,9770],{"execution-count":6510},[5527,9484,9486],{"className":6418,"code":9485,"language":6420,"meta":5532,"style":5532},"# Створення DataLoader з різними batch_size\nbatch_sizes = [32, 128, 512]\n\nfor batch_size in batch_sizes:\n    train_loader = DataLoader(\n        train_dataset,\n        batch_size=batch_size,\n        shuffle=True,  # Перемішуємо для тренування\n        num_workers=2,  # 2 паралельних процеси завантаження\n        pin_memory=True  # Прискорює копіювання на GPU\n    )\n    \n    # Візьмемо один батч\n    images, labels = next(iter(train_loader))\n    \n    print(f\"\\n📦 Batch size = {batch_size}\")\n    print(f\"   Форма батчу зображень: {images.shape}\")\n    print(f\"   Форма батчу міток: {labels.shape}\")\n    print(f\"   Тип даних: {images.dtype}\")\n    print(f\"   Діапазон значень: [{images.min():.2f}, {images.max():.2f}]\")\n    print(f\"   Кількість батчів в епосі: {len(train_loader)}\")\n",[5308,9487,9488,9493,9512,9516,9528,9533,9538,9546,9561,9575,9587,9592,9596,9601,9617,9621,9647,9669,9691,9713,9746],{"__ignoreMap":5532},[5536,9489,9490],{"class":5538,"line":5539},[5536,9491,9492],{"class":6472},"# Створення DataLoader з різними batch_size\n",[5536,9494,9495,9498,9500,9502,9505,9507,9510],{"class":5538,"line":5545},[5536,9496,9497],{"class":6431},"batch_sizes = [",[5536,9499,7860],{"class":6481},[5536,9501,6552],{"class":6431},[5536,9503,9504],{"class":6481},"128",[5536,9506,6552],{"class":6431},[5536,9508,9509],{"class":6481},"512",[5536,9511,7758],{"class":6431},[5536,9513,9514],{"class":5538,"line":5551},[5536,9515,5567],{"emptyLinePlaceholder":5566},[5536,9517,9518,9520,9523,9525],{"class":5538,"line":5557},[5536,9519,7030],{"class":6427},[5536,9521,9522],{"class":6431}," batch_size ",[5536,9524,7036],{"class":6427},[5536,9526,9527],{"class":6431}," batch_sizes:\n",[5536,9529,9530],{"class":5538,"line":5563},[5536,9531,9532],{"class":6431},"    train_loader = DataLoader(\n",[5536,9534,9535],{"class":5538,"line":5570},[5536,9536,9537],{"class":6431},"        train_dataset,\n",[5536,9539,9540,9543],{"class":5538,"line":5576},[5536,9541,9542],{"class":6781},"        batch_size",[5536,9544,9545],{"class":6431},"=batch_size,\n",[5536,9547,9548,9551,9553,9555,9558],{"class":5538,"line":5582},[5536,9549,9550],{"class":6781},"        shuffle",[5536,9552,7141],{"class":6431},[5536,9554,7190],{"class":6616},[5536,9556,9557],{"class":6431},",  ",[5536,9559,9560],{"class":6472},"# Перемішуємо для тренування\n",[5536,9562,9563,9566,9568,9570,9572],{"class":5538,"line":5588},[5536,9564,9565],{"class":6781},"        num_workers",[5536,9567,7141],{"class":6431},[5536,9569,6510],{"class":6481},[5536,9571,9557],{"class":6431},[5536,9573,9574],{"class":6472},"# 2 паралельних процеси завантаження\n",[5536,9576,9577,9580,9582,9584],{"class":5538,"line":5593},[5536,9578,9579],{"class":6781},"        pin_memory",[5536,9581,7141],{"class":6431},[5536,9583,7190],{"class":6616},[5536,9585,9586],{"class":6472},"  # Прискорює копіювання на GPU\n",[5536,9588,9589],{"class":5538,"line":5599},[5536,9590,9591],{"class":6431},"    )\n",[5536,9593,9594],{"class":5538,"line":5604},[5536,9595,7603],{"class":6431},[5536,9597,9598],{"class":5538,"line":5610},[5536,9599,9600],{"class":6472},"    # Візьмемо один батч\n",[5536,9602,9603,9606,9609,9611,9614],{"class":5538,"line":5616},[5536,9604,9605],{"class":6431},"    images, labels = ",[5536,9607,9608],{"class":6592},"next",[5536,9610,6613],{"class":6431},[5536,9612,9613],{"class":6592},"iter",[5536,9615,9616],{"class":6431},"(train_loader))\n",[5536,9618,9619],{"class":5538,"line":5622},[5536,9620,7603],{"class":6431},[5536,9622,9623,9626,9628,9630,9632,9634,9637,9639,9641,9643,9645],{"class":5538,"line":5628},[5536,9624,9625],{"class":6592},"    print",[5536,9627,6613],{"class":6431},[5536,9629,6617],{"class":6616},[5536,9631,8779],{"class":6620},[5536,9633,8783],{"class":8782},[5536,9635,9636],{"class":6620},"📦 Batch size = ",[5536,9638,6624],{"class":6616},[5536,9640,7855],{"class":6431},[5536,9642,6632],{"class":6616},[5536,9644,8779],{"class":6620},[5536,9646,6485],{"class":6431},[5536,9648,9649,9651,9653,9655,9658,9660,9663,9665,9667],{"class":5538,"line":5634},[5536,9650,9625],{"class":6592},[5536,9652,6613],{"class":6431},[5536,9654,6617],{"class":6616},[5536,9656,9657],{"class":6620},"\"   Форма батчу зображень: ",[5536,9659,6624],{"class":6616},[5536,9661,9662],{"class":6431},"images.shape",[5536,9664,6632],{"class":6616},[5536,9666,8779],{"class":6620},[5536,9668,6485],{"class":6431},[5536,9670,9671,9673,9675,9677,9680,9682,9685,9687,9689],{"class":5538,"line":5639},[5536,9672,9625],{"class":6592},[5536,9674,6613],{"class":6431},[5536,9676,6617],{"class":6616},[5536,9678,9679],{"class":6620},"\"   Форма батчу міток: ",[5536,9681,6624],{"class":6616},[5536,9683,9684],{"class":6431},"labels.shape",[5536,9686,6632],{"class":6616},[5536,9688,8779],{"class":6620},[5536,9690,6485],{"class":6431},[5536,9692,9693,9695,9697,9699,9702,9704,9707,9709,9711],{"class":5538,"line":5645},[5536,9694,9625],{"class":6592},[5536,9696,6613],{"class":6431},[5536,9698,6617],{"class":6616},[5536,9700,9701],{"class":6620},"\"   Тип даних: ",[5536,9703,6624],{"class":6616},[5536,9705,9706],{"class":6431},"images.dtype",[5536,9708,6632],{"class":6616},[5536,9710,8779],{"class":6620},[5536,9712,6485],{"class":6431},[5536,9714,9715,9717,9719,9721,9724,9726,9729,9732,9734,9736,9739,9741,9744],{"class":5538,"line":5650},[5536,9716,9625],{"class":6592},[5536,9718,6613],{"class":6431},[5536,9720,6617],{"class":6616},[5536,9722,9723],{"class":6620},"\"   Діапазон значень: [",[5536,9725,6624],{"class":6616},[5536,9727,9728],{"class":6431},"images.min()",[5536,9730,9731],{"class":6616},":.2f}",[5536,9733,6552],{"class":6620},[5536,9735,6624],{"class":6616},[5536,9737,9738],{"class":6431},"images.max()",[5536,9740,9731],{"class":6616},[5536,9742,9743],{"class":6620},"]\"",[5536,9745,6485],{"class":6431},[5536,9747,9748,9750,9752,9754,9757,9759,9761,9764,9766,9768],{"class":5538,"line":5656},[5536,9749,9625],{"class":6592},[5536,9751,6613],{"class":6431},[5536,9753,6617],{"class":6616},[5536,9755,9756],{"class":6620},"\"   Кількість батчів в епосі: ",[5536,9758,6624],{"class":6616},[5536,9760,6593],{"class":6592},[5536,9762,9763],{"class":6431},"(train_loader)",[5536,9765,6632],{"class":6616},[5536,9767,8779],{"class":6620},[5536,9769,6485],{"class":6431},[6692,9771,9772,9778,9811,9816,9834,9839],{"v-slot:output":5532},[5191,9773,9774,9775],{},"📦 ",[5195,9776,9777],{},"Batch size = 32",[5295,9779,9780,9786,9792,9798,9804],{},[5298,9781,9782,9783],{},"Форма батчу зображень: ",[5308,9784,9785],{},"torch.Size([32, 1, 28, 28])",[5298,9787,9788,9789],{},"Форма батчу міток: ",[5308,9790,9791],{},"torch.Size([32])",[5298,9793,9794,9795],{},"Тип даних: ",[5308,9796,9797],{},"torch.float32",[5298,9799,9800,9801],{},"Діапазон значень: ",[5308,9802,9803],{},"[-1.00, 1.00]",[5298,9805,9806,9807,9810],{},"Кількість батчів в епосі: ",[5195,9808,9809],{},"1875"," (60000 \u002F 32 = 1875)",[5191,9812,9774,9813],{},[5195,9814,9815],{},"Batch size = 128",[5295,9817,9818,9823,9828],{},[5298,9819,9782,9820],{},[5308,9821,9822],{},"torch.Size([128, 1, 28, 28])",[5298,9824,9788,9825],{},[5308,9826,9827],{},"torch.Size([128])",[5298,9829,9806,9830,9833],{},[5195,9831,9832],{},"468"," (60000 \u002F 128 ≈ 468.75, округлено)",[5191,9835,9774,9836],{},[5195,9837,9838],{},"Batch size = 512",[5295,9840,9841,9846,9851],{},[5298,9842,9782,9843],{},[5308,9844,9845],{},"torch.Size([512, 1, 28, 28])",[5298,9847,9788,9848],{},[5308,9849,9850],{},"torch.Size([512])",[5298,9852,9806,9853,9856],{},[5195,9854,9855],{},"117"," (60000 \u002F 512 ≈ 117.19, округлено)",[5997,9858,9859,9864,9870,9889],{},[5191,9860,9861],{},[5195,9862,9863],{},"Оптимізація num_workers:",[5191,9865,9866,9867,9869],{},"Параметр ",[5308,9868,9068],{}," визначає, скільки паралельних процесів завантажують дані з диска. Типові значення:",[5295,9871,9872,9877,9883],{},[5298,9873,9874,9876],{},[5195,9875,6656],{}," — завантаження в основному процесі (простіше для дебагу, але повільніше)",[5298,9878,9879,9882],{},[5195,9880,9881],{},"2-4"," — оптимально для більшості випадків",[5298,9884,9885,9888],{},[5195,9886,9887],{},"8+"," — якщо I\u002FO з диска — вузьке місце (великі зображення, повільний SSD)",[5191,9890,9891,9892,9894],{},"Якщо ",[5308,9893,9068],{}," занадто великий, виникає overhead через створення процесів. Експериментуйте!",[5378,9896,9898],{"id":9897},"основний-цикл-навчання-з-dataloader","Основний цикл навчання з DataLoader",[5191,9900,9901],{},"Ось типовий шаблон навчання моделі з використанням DataLoader:",[6402,9903,9904,10433],{"execution-count":6983},[5527,9905,9907],{"className":6418,"code":9906,"language":6420,"meta":5532,"style":5532},"import torch.nn as nn\nimport torch.optim as optim\n\n# Проста CNN модель\nclass SimpleCNN(nn.Module):\n    def __init__(self):\n        super(SimpleCNN, self).__init__()\n        self.conv1 = nn.Conv2d(1, 32, kernel_size=3, padding=1)\n        self.conv2 = nn.Conv2d(32, 64, kernel_size=3, padding=1)\n        self.pool = nn.MaxPool2d(2, 2)\n        self.fc1 = nn.Linear(64 * 7 * 7, 128)\n        self.fc2 = nn.Linear(128, 10)\n        self.relu = nn.ReLU()\n    \n    def forward(self, x):\n        x = self.relu(self.conv1(x))\n        x = self.pool(x)  # 28x28 → 14x14\n        x = self.relu(self.conv2(x))\n        x = self.pool(x)  # 14x14 → 7x7\n        x = x.view(x.size(0), -1)  # Flatten\n        x = self.relu(self.fc1(x))\n        x = self.fc2(x)\n        return x\n\n# Ініціалізація моделі, loss та optimizer\ndevice = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\nmodel = SimpleCNN().to(device)\ncriterion = nn.CrossEntropyLoss()\noptimizer = optim.SGD(model.parameters(), lr=0.01, momentum=0.9)\n\n# DataLoader\ntrain_loader = DataLoader(train_dataset, batch_size=128, shuffle=True, num_workers=2)\n\nprint(f\"Пристрій: {device}\")\nprint(f\"Кількість параметрів моделі: {sum(p.numel() for p in model.parameters()):,}\")\nprint(f\"Батчів в епосі: {len(train_loader)}\")\n",[5308,9908,9909,9921,9933,9937,9942,9963,9978,9996,10030,10062,10077,10102,10117,10124,10128,10146,10161,10173,10186,10197,10215,10228,10237,10245,10249,10254,10276,10281,10286,10310,10314,10319,10348,10352,10374,10410],{"__ignoreMap":5532},[5536,9910,9911,9913,9916,9918],{"class":5538,"line":5539},[5536,9912,6428],{"class":6427},[5536,9914,9915],{"class":6431}," torch.nn ",[5536,9917,6435],{"class":6427},[5536,9919,9920],{"class":6431}," nn\n",[5536,9922,9923,9925,9928,9930],{"class":5538,"line":5545},[5536,9924,6428],{"class":6427},[5536,9926,9927],{"class":6431}," torch.optim ",[5536,9929,6435],{"class":6427},[5536,9931,9932],{"class":6431}," optim\n",[5536,9934,9935],{"class":5538,"line":5551},[5536,9936,5567],{"emptyLinePlaceholder":5566},[5536,9938,9939],{"class":5538,"line":5557},[5536,9940,9941],{"class":6472},"# Проста CNN модель\n",[5536,9943,9944,9947,9951,9953,9956,9958,9961],{"class":5538,"line":5563},[5536,9945,9946],{"class":6616},"class",[5536,9948,9950],{"class":9949},"sN1BT"," SimpleCNN",[5536,9952,6613],{"class":6431},[5536,9954,9955],{"class":9949},"nn",[5536,9957,5376],{"class":6431},[5536,9959,9960],{"class":9949},"Module",[5536,9962,6785],{"class":6431},[5536,9964,9965,9968,9971,9973,9976],{"class":5538,"line":5570},[5536,9966,9967],{"class":6616},"    def",[5536,9969,9970],{"class":6592}," __init__",[5536,9972,6613],{"class":6431},[5536,9974,9975],{"class":6781},"self",[5536,9977,6785],{"class":6431},[5536,9979,9980,9983,9986,9988,9990,9993],{"class":5538,"line":5576},[5536,9981,9982],{"class":9949},"        super",[5536,9984,9985],{"class":6431},"(SimpleCNN, ",[5536,9987,9975],{"class":6616},[5536,9989,6025],{"class":6431},[5536,9991,9992],{"class":6592},"__init__",[5536,9994,9995],{"class":6431},"()\n",[5536,9997,9998,10001,10004,10006,10008,10010,10012,10015,10017,10019,10021,10024,10026,10028],{"class":5538,"line":5582},[5536,9999,10000],{"class":6616},"        self",[5536,10002,10003],{"class":6431},".conv1 = nn.Conv2d(",[5536,10005,6414],{"class":6481},[5536,10007,6552],{"class":6431},[5536,10009,7860],{"class":6481},[5536,10011,6552],{"class":6431},[5536,10013,10014],{"class":6781},"kernel_size",[5536,10016,7141],{"class":6431},[5536,10018,6983],{"class":6481},[5536,10020,6552],{"class":6431},[5536,10022,10023],{"class":6781},"padding",[5536,10025,7141],{"class":6431},[5536,10027,6414],{"class":6481},[5536,10029,6485],{"class":6431},[5536,10031,10032,10034,10037,10039,10041,10044,10046,10048,10050,10052,10054,10056,10058,10060],{"class":5538,"line":5588},[5536,10033,10000],{"class":6616},[5536,10035,10036],{"class":6431},".conv2 = nn.Conv2d(",[5536,10038,7860],{"class":6481},[5536,10040,6552],{"class":6431},[5536,10042,10043],{"class":6481},"64",[5536,10045,6552],{"class":6431},[5536,10047,10014],{"class":6781},[5536,10049,7141],{"class":6431},[5536,10051,6983],{"class":6481},[5536,10053,6552],{"class":6431},[5536,10055,10023],{"class":6781},[5536,10057,7141],{"class":6431},[5536,10059,6414],{"class":6481},[5536,10061,6485],{"class":6431},[5536,10063,10064,10066,10069,10071,10073,10075],{"class":5538,"line":5593},[5536,10065,10000],{"class":6616},[5536,10067,10068],{"class":6431},".pool = nn.MaxPool2d(",[5536,10070,6510],{"class":6481},[5536,10072,6552],{"class":6431},[5536,10074,6510],{"class":6481},[5536,10076,6485],{"class":6431},[5536,10078,10079,10081,10084,10086,10089,10092,10094,10096,10098,10100],{"class":5538,"line":5599},[5536,10080,10000],{"class":6616},[5536,10082,10083],{"class":6431},".fc1 = nn.Linear(",[5536,10085,10043],{"class":6481},[5536,10087,10088],{"class":6431}," * ",[5536,10090,10091],{"class":6481},"7",[5536,10093,10088],{"class":6431},[5536,10095,10091],{"class":6481},[5536,10097,6552],{"class":6431},[5536,10099,9504],{"class":6481},[5536,10101,6485],{"class":6431},[5536,10103,10104,10106,10109,10111,10113,10115],{"class":5538,"line":5604},[5536,10105,10000],{"class":6616},[5536,10107,10108],{"class":6431},".fc2 = nn.Linear(",[5536,10110,9504],{"class":6481},[5536,10112,6552],{"class":6431},[5536,10114,7791],{"class":6481},[5536,10116,6485],{"class":6431},[5536,10118,10119,10121],{"class":5538,"line":5610},[5536,10120,10000],{"class":6616},[5536,10122,10123],{"class":6431},".relu = nn.ReLU()\n",[5536,10125,10126],{"class":5538,"line":5616},[5536,10127,7603],{"class":6431},[5536,10129,10130,10132,10135,10137,10139,10141,10144],{"class":5538,"line":5622},[5536,10131,9967],{"class":6616},[5536,10133,10134],{"class":6592}," forward",[5536,10136,6613],{"class":6431},[5536,10138,9975],{"class":6781},[5536,10140,6552],{"class":6431},[5536,10142,10143],{"class":6781},"x",[5536,10145,6785],{"class":6431},[5536,10147,10148,10151,10153,10156,10158],{"class":5538,"line":5628},[5536,10149,10150],{"class":6431},"        x = ",[5536,10152,9975],{"class":6616},[5536,10154,10155],{"class":6431},".relu(",[5536,10157,9975],{"class":6616},[5536,10159,10160],{"class":6431},".conv1(x))\n",[5536,10162,10163,10165,10167,10170],{"class":5538,"line":5634},[5536,10164,10150],{"class":6431},[5536,10166,9975],{"class":6616},[5536,10168,10169],{"class":6431},".pool(x)  ",[5536,10171,10172],{"class":6472},"# 28x28 → 14x14\n",[5536,10174,10175,10177,10179,10181,10183],{"class":5538,"line":5639},[5536,10176,10150],{"class":6431},[5536,10178,9975],{"class":6616},[5536,10180,10155],{"class":6431},[5536,10182,9975],{"class":6616},[5536,10184,10185],{"class":6431},".conv2(x))\n",[5536,10187,10188,10190,10192,10194],{"class":5538,"line":5645},[5536,10189,10150],{"class":6431},[5536,10191,9975],{"class":6616},[5536,10193,10169],{"class":6431},[5536,10195,10196],{"class":6472},"# 14x14 → 7x7\n",[5536,10198,10199,10202,10204,10207,10209,10212],{"class":5538,"line":5650},[5536,10200,10201],{"class":6431},"        x = x.view(x.size(",[5536,10203,6656],{"class":6481},[5536,10205,10206],{"class":6431},"), -",[5536,10208,6414],{"class":6481},[5536,10210,10211],{"class":6431},")  ",[5536,10213,10214],{"class":6472},"# Flatten\n",[5536,10216,10217,10219,10221,10223,10225],{"class":5538,"line":5656},[5536,10218,10150],{"class":6431},[5536,10220,9975],{"class":6616},[5536,10222,10155],{"class":6431},[5536,10224,9975],{"class":6616},[5536,10226,10227],{"class":6431},".fc1(x))\n",[5536,10229,10230,10232,10234],{"class":5538,"line":5662},[5536,10231,10150],{"class":6431},[5536,10233,9975],{"class":6616},[5536,10235,10236],{"class":6431},".fc2(x)\n",[5536,10238,10239,10242],{"class":5538,"line":5668},[5536,10240,10241],{"class":6427},"        return",[5536,10243,10244],{"class":6431}," x\n",[5536,10246,10247],{"class":5538,"line":5673},[5536,10248,5567],{"emptyLinePlaceholder":5566},[5536,10250,10251],{"class":5538,"line":5679},[5536,10252,10253],{"class":6472},"# Ініціалізація моделі, loss та optimizer\n",[5536,10255,10256,10259,10262,10265,10268,10271,10274],{"class":5538,"line":5685},[5536,10257,10258],{"class":6431},"device = torch.device(",[5536,10260,10261],{"class":6620},"'cuda'",[5536,10263,10264],{"class":6427}," if",[5536,10266,10267],{"class":6431}," torch.cuda.is_available() ",[5536,10269,10270],{"class":6427},"else",[5536,10272,10273],{"class":6620}," 'cpu'",[5536,10275,6485],{"class":6431},[5536,10277,10278],{"class":5538,"line":5691},[5536,10279,10280],{"class":6431},"model = SimpleCNN().to(device)\n",[5536,10282,10283],{"class":5538,"line":5697},[5536,10284,10285],{"class":6431},"criterion = nn.CrossEntropyLoss()\n",[5536,10287,10288,10291,10293,10295,10298,10300,10303,10305,10308],{"class":5538,"line":5703},[5536,10289,10290],{"class":6431},"optimizer = optim.SGD(model.parameters(), ",[5536,10292,7549],{"class":6781},[5536,10294,7141],{"class":6431},[5536,10296,10297],{"class":6481},"0.01",[5536,10299,6552],{"class":6431},[5536,10301,10302],{"class":6781},"momentum",[5536,10304,7141],{"class":6431},[5536,10306,10307],{"class":6481},"0.9",[5536,10309,6485],{"class":6431},[5536,10311,10312],{"class":5538,"line":5708},[5536,10313,5567],{"emptyLinePlaceholder":5566},[5536,10315,10316],{"class":5538,"line":6197},[5536,10317,10318],{"class":6472},"# DataLoader\n",[5536,10320,10321,10324,10326,10328,10330,10332,10334,10336,10338,10340,10342,10344,10346],{"class":5538,"line":6202},[5536,10322,10323],{"class":6431},"train_loader = DataLoader(train_dataset, ",[5536,10325,7855],{"class":6781},[5536,10327,7141],{"class":6431},[5536,10329,9504],{"class":6481},[5536,10331,6552],{"class":6431},[5536,10333,9053],{"class":6781},[5536,10335,7141],{"class":6431},[5536,10337,7190],{"class":6616},[5536,10339,6552],{"class":6431},[5536,10341,9068],{"class":6781},[5536,10343,7141],{"class":6431},[5536,10345,6510],{"class":6481},[5536,10347,6485],{"class":6431},[5536,10349,10350],{"class":5538,"line":6208},[5536,10351,5567],{"emptyLinePlaceholder":5566},[5536,10353,10354,10356,10358,10360,10363,10365,10368,10370,10372],{"class":5538,"line":6214},[5536,10355,6610],{"class":6592},[5536,10357,6613],{"class":6431},[5536,10359,6617],{"class":6616},[5536,10361,10362],{"class":6620},"\"Пристрій: ",[5536,10364,6624],{"class":6616},[5536,10366,10367],{"class":6431},"device",[5536,10369,6632],{"class":6616},[5536,10371,8779],{"class":6620},[5536,10373,6485],{"class":6431},[5536,10375,10376,10378,10380,10382,10385,10387,10390,10393,10395,10398,10400,10403,10406,10408],{"class":5538,"line":6220},[5536,10377,6610],{"class":6592},[5536,10379,6613],{"class":6431},[5536,10381,6617],{"class":6616},[5536,10383,10384],{"class":6620},"\"Кількість параметрів моделі: ",[5536,10386,6624],{"class":6616},[5536,10388,10389],{"class":6592},"sum",[5536,10391,10392],{"class":6431},"(p.numel() ",[5536,10394,7030],{"class":6427},[5536,10396,10397],{"class":6431}," p ",[5536,10399,7036],{"class":6427},[5536,10401,10402],{"class":6431}," model.parameters())",[5536,10404,10405],{"class":6616},":,}",[5536,10407,8779],{"class":6620},[5536,10409,6485],{"class":6431},[5536,10411,10412,10414,10416,10418,10421,10423,10425,10427,10429,10431],{"class":5538,"line":6225},[5536,10413,6610],{"class":6592},[5536,10415,6613],{"class":6431},[5536,10417,6617],{"class":6616},[5536,10419,10420],{"class":6620},"\"Батчів в епосі: ",[5536,10422,6624],{"class":6616},[5536,10424,6593],{"class":6592},[5536,10426,9763],{"class":6431},[5536,10428,6632],{"class":6616},[5536,10430,8779],{"class":6620},[5536,10432,6485],{"class":6431},[6692,10434,10435],{"v-slot:output":5532},[6239,10436,10437,10445],{},[6242,10438,10439],{},[6245,10440,10441,10443],{},[6248,10442,6702],{"align":6250},[6248,10444,6705],{"align":6250},[6262,10446,10447,10460,10470],{},[6245,10448,10449,10454],{},[6267,10450,10451],{"align":6250},[5195,10452,10453],{},"Пристрій",[6267,10455,10456,10459],{"align":6250},[5308,10457,10458],{},"cuda"," (NVIDIA GeForce RTX 3080)",[6245,10461,10462,10467],{},[6267,10463,10464],{"align":6250},[5195,10465,10466],{},"Параметри моделі",[6267,10468,10469],{"align":6250},"431,946 параметрів",[6245,10471,10472,10477],{},[6267,10473,10474],{"align":6250},[5195,10475,10476],{},"Батчів в епосі",[6267,10478,10479],{"align":6250},"469",[6402,10481,10483,10926],{"execution-count":7993,"execution-time":10482},"45.2s",[5527,10484,10486],{"className":6418,"code":10485,"language":6420,"meta":5532,"style":5532},"# Функція навчання однієї епохи\ndef train_one_epoch(model, loader, criterion, optimizer, device):\n    model.train()\n    running_loss = 0.0\n    correct = 0\n    total = 0\n    \n    for batch_idx, (images, labels) in enumerate(loader):\n        # Перенесення даних на GPU\n        images, labels = images.to(device), labels.to(device)\n        \n        # Forward pass\n        outputs = model(images)\n        loss = criterion(outputs, labels)\n        \n        # Backward pass та оптимізація\n        optimizer.zero_grad()\n        loss.backward()\n        optimizer.step()\n        \n        # Статистика\n        running_loss += loss.item()\n        _, predicted = outputs.max(1)\n        total += labels.size(0)\n        correct += predicted.eq(labels).sum().item()\n        \n        # Виведення прогресу кожні 100 батчів\n        if (batch_idx + 1) % 100 == 0:\n            print(f\"  Батч [{batch_idx+1}\u002F{len(loader)}] | \"\n                  f\"Loss: {running_loss \u002F (batch_idx+1):.4f} | \"\n                  f\"Acc: {100. * correct \u002F total:.2f}%\")\n    \n    epoch_loss = running_loss \u002F len(loader)\n    epoch_acc = 100. * correct \u002F total\n    return epoch_loss, epoch_acc\n\n# Навчання 3 епохи\nprint(\"🚀 Початок навчання...\\n\")\nfor epoch in range(3):\n    print(f\"Епоха {epoch + 1}\u002F3:\")\n    loss, acc = train_one_epoch(model, train_loader, criterion, optimizer, device)\n    print(f\"✅ Епоха завершена | Середня втрата: {loss:.4f} | Точність: {acc:.2f}%\\n\")\n\nprint(\"🎉 Навчання завершено!\")\n",[5308,10487,10488,10493,10526,10531,10539,10547,10554,10558,10572,10577,10582,10587,10592,10597,10602,10606,10611,10616,10621,10626,10630,10635,10640,10649,10658,10663,10667,10672,10693,10729,10752,10773,10777,10787,10797,10804,10808,10813,10828,10844,10869,10874,10911,10915],{"__ignoreMap":5532},[5536,10489,10490],{"class":5538,"line":5539},[5536,10491,10492],{"class":6472},"# Функція навчання однієї епохи\n",[5536,10494,10495,10497,10500,10502,10505,10507,10510,10512,10515,10517,10520,10522,10524],{"class":5538,"line":5545},[5536,10496,6773],{"class":6616},[5536,10498,10499],{"class":6592}," train_one_epoch",[5536,10501,6613],{"class":6431},[5536,10503,10504],{"class":6781},"model",[5536,10506,6552],{"class":6431},[5536,10508,10509],{"class":6781},"loader",[5536,10511,6552],{"class":6431},[5536,10513,10514],{"class":6781},"criterion",[5536,10516,6552],{"class":6431},[5536,10518,10519],{"class":6781},"optimizer",[5536,10521,6552],{"class":6431},[5536,10523,10367],{"class":6781},[5536,10525,6785],{"class":6431},[5536,10527,10528],{"class":5538,"line":5551},[5536,10529,10530],{"class":6431},"    model.train()\n",[5536,10532,10533,10536],{"class":5538,"line":5557},[5536,10534,10535],{"class":6431},"    running_loss = ",[5536,10537,10538],{"class":6481},"0.0\n",[5536,10540,10541,10544],{"class":5538,"line":5563},[5536,10542,10543],{"class":6431},"    correct = ",[5536,10545,10546],{"class":6481},"0\n",[5536,10548,10549,10552],{"class":5538,"line":5570},[5536,10550,10551],{"class":6431},"    total = ",[5536,10553,10546],{"class":6481},[5536,10555,10556],{"class":5538,"line":5576},[5536,10557,7603],{"class":6431},[5536,10559,10560,10562,10565,10567,10569],{"class":5538,"line":5582},[5536,10561,7052],{"class":6427},[5536,10563,10564],{"class":6431}," batch_idx, (images, labels) ",[5536,10566,7036],{"class":6427},[5536,10568,8286],{"class":6592},[5536,10570,10571],{"class":6431},"(loader):\n",[5536,10573,10574],{"class":5538,"line":5588},[5536,10575,10576],{"class":6472},"        # Перенесення даних на GPU\n",[5536,10578,10579],{"class":5538,"line":5593},[5536,10580,10581],{"class":6431},"        images, labels = images.to(device), labels.to(device)\n",[5536,10583,10584],{"class":5538,"line":5599},[5536,10585,10586],{"class":6431},"        \n",[5536,10588,10589],{"class":5538,"line":5604},[5536,10590,10591],{"class":6472},"        # Forward pass\n",[5536,10593,10594],{"class":5538,"line":5610},[5536,10595,10596],{"class":6431},"        outputs = model(images)\n",[5536,10598,10599],{"class":5538,"line":5616},[5536,10600,10601],{"class":6431},"        loss = criterion(outputs, labels)\n",[5536,10603,10604],{"class":5538,"line":5622},[5536,10605,10586],{"class":6431},[5536,10607,10608],{"class":5538,"line":5628},[5536,10609,10610],{"class":6472},"        # Backward pass та оптимізація\n",[5536,10612,10613],{"class":5538,"line":5634},[5536,10614,10615],{"class":6431},"        optimizer.zero_grad()\n",[5536,10617,10618],{"class":5538,"line":5639},[5536,10619,10620],{"class":6431},"        loss.backward()\n",[5536,10622,10623],{"class":5538,"line":5645},[5536,10624,10625],{"class":6431},"        optimizer.step()\n",[5536,10627,10628],{"class":5538,"line":5650},[5536,10629,10586],{"class":6431},[5536,10631,10632],{"class":5538,"line":5656},[5536,10633,10634],{"class":6472},"        # Статистика\n",[5536,10636,10637],{"class":5538,"line":5662},[5536,10638,10639],{"class":6431},"        running_loss += loss.item()\n",[5536,10641,10642,10645,10647],{"class":5538,"line":5668},[5536,10643,10644],{"class":6431},"        _, predicted = outputs.max(",[5536,10646,6414],{"class":6481},[5536,10648,6485],{"class":6431},[5536,10650,10651,10654,10656],{"class":5538,"line":5673},[5536,10652,10653],{"class":6431},"        total += labels.size(",[5536,10655,6656],{"class":6481},[5536,10657,6485],{"class":6431},[5536,10659,10660],{"class":5538,"line":5679},[5536,10661,10662],{"class":6431},"        correct += predicted.eq(labels).sum().item()\n",[5536,10664,10665],{"class":5538,"line":5685},[5536,10666,10586],{"class":6431},[5536,10668,10669],{"class":5538,"line":5691},[5536,10670,10671],{"class":6472},"        # Виведення прогресу кожні 100 батчів\n",[5536,10673,10674,10677,10680,10682,10685,10687,10689,10691],{"class":5538,"line":5697},[5536,10675,10676],{"class":6427},"        if",[5536,10678,10679],{"class":6431}," (batch_idx + ",[5536,10681,6414],{"class":6481},[5536,10683,10684],{"class":6431},") % ",[5536,10686,6992],{"class":6481},[5536,10688,7811],{"class":6431},[5536,10690,6656],{"class":6481},[5536,10692,7816],{"class":6431},[5536,10694,10695,10698,10700,10702,10705,10707,10710,10712,10714,10717,10719,10721,10724,10726],{"class":5538,"line":5703},[5536,10696,10697],{"class":6592},"            print",[5536,10699,6613],{"class":6431},[5536,10701,6617],{"class":6616},[5536,10703,10704],{"class":6620},"\"  Батч [",[5536,10706,6624],{"class":6616},[5536,10708,10709],{"class":6431},"batch_idx+",[5536,10711,6414],{"class":6481},[5536,10713,6632],{"class":6616},[5536,10715,10716],{"class":6620},"\u002F",[5536,10718,6624],{"class":6616},[5536,10720,6593],{"class":6592},[5536,10722,10723],{"class":6431},"(loader)",[5536,10725,6632],{"class":6616},[5536,10727,10728],{"class":6620},"] | \"\n",[5536,10730,10731,10734,10737,10739,10742,10744,10746,10749],{"class":5538,"line":5708},[5536,10732,10733],{"class":6616},"                  f",[5536,10735,10736],{"class":6620},"\"Loss: ",[5536,10738,6624],{"class":6616},[5536,10740,10741],{"class":6431},"running_loss \u002F (batch_idx+",[5536,10743,6414],{"class":6481},[5536,10745,5411],{"class":6431},[5536,10747,10748],{"class":6616},":.4f}",[5536,10750,10751],{"class":6620}," | \"\n",[5536,10753,10754,10756,10759,10761,10763,10766,10768,10771],{"class":5538,"line":6197},[5536,10755,10733],{"class":6616},[5536,10757,10758],{"class":6620},"\"Acc: ",[5536,10760,6624],{"class":6616},[5536,10762,6992],{"class":6481},[5536,10764,10765],{"class":6431},". * correct \u002F total",[5536,10767,9731],{"class":6616},[5536,10769,10770],{"class":6620},"%\"",[5536,10772,6485],{"class":6431},[5536,10774,10775],{"class":5538,"line":6202},[5536,10776,7603],{"class":6431},[5536,10778,10779,10782,10784],{"class":5538,"line":6208},[5536,10780,10781],{"class":6431},"    epoch_loss = running_loss \u002F ",[5536,10783,6593],{"class":6592},[5536,10785,10786],{"class":6431},"(loader)\n",[5536,10788,10789,10792,10794],{"class":5538,"line":6214},[5536,10790,10791],{"class":6431},"    epoch_acc = ",[5536,10793,6992],{"class":6481},[5536,10795,10796],{"class":6431},". * correct \u002F total\n",[5536,10798,10799,10801],{"class":5538,"line":6220},[5536,10800,6790],{"class":6427},[5536,10802,10803],{"class":6431}," epoch_loss, epoch_acc\n",[5536,10805,10806],{"class":5538,"line":6225},[5536,10807,5567],{"emptyLinePlaceholder":5566},[5536,10809,10810],{"class":5538,"line":6230},[5536,10811,10812],{"class":6472},"# Навчання 3 епохи\n",[5536,10814,10815,10817,10819,10822,10824,10826],{"class":5538,"line":7121},[5536,10816,6610],{"class":6592},[5536,10818,6613],{"class":6431},[5536,10820,10821],{"class":6620},"\"🚀 Початок навчання...",[5536,10823,8783],{"class":8782},[5536,10825,8779],{"class":6620},[5536,10827,6485],{"class":6431},[5536,10829,10830,10832,10834,10836,10838,10840,10842],{"class":5538,"line":7127},[5536,10831,7030],{"class":6427},[5536,10833,7610],{"class":6431},[5536,10835,7036],{"class":6427},[5536,10837,7039],{"class":6592},[5536,10839,6613],{"class":6431},[5536,10841,6983],{"class":6481},[5536,10843,6785],{"class":6431},[5536,10845,10846,10848,10850,10852,10855,10857,10860,10862,10864,10867],{"class":5538,"line":7149},[5536,10847,9625],{"class":6592},[5536,10849,6613],{"class":6431},[5536,10851,6617],{"class":6616},[5536,10853,10854],{"class":6620},"\"Епоха ",[5536,10856,6624],{"class":6616},[5536,10858,10859],{"class":6431},"epoch + ",[5536,10861,6414],{"class":6481},[5536,10863,6632],{"class":6616},[5536,10865,10866],{"class":6620},"\u002F3:\"",[5536,10868,6485],{"class":6431},[5536,10870,10871],{"class":5538,"line":7172},[5536,10872,10873],{"class":6431},"    loss, acc = train_one_epoch(model, train_loader, criterion, optimizer, device)\n",[5536,10875,10876,10878,10880,10882,10885,10887,10890,10892,10895,10897,10900,10902,10905,10907,10909],{"class":5538,"line":7195},[5536,10877,9625],{"class":6592},[5536,10879,6613],{"class":6431},[5536,10881,6617],{"class":6616},[5536,10883,10884],{"class":6620},"\"✅ Епоха завершена | Середня втрата: ",[5536,10886,6624],{"class":6616},[5536,10888,10889],{"class":6431},"loss",[5536,10891,10748],{"class":6616},[5536,10893,10894],{"class":6620}," | Точність: ",[5536,10896,6624],{"class":6616},[5536,10898,10899],{"class":6431},"acc",[5536,10901,9731],{"class":6616},[5536,10903,10904],{"class":6620},"%",[5536,10906,8783],{"class":8782},[5536,10908,8779],{"class":6620},[5536,10910,6485],{"class":6431},[5536,10912,10913],{"class":5538,"line":7216},[5536,10914,5567],{"emptyLinePlaceholder":5566},[5536,10916,10917,10919,10921,10924],{"class":5538,"line":7235},[5536,10918,6610],{"class":6592},[5536,10920,6613],{"class":6431},[5536,10922,10923],{"class":6620},"\"🎉 Навчання завершено!\"",[5536,10925,6485],{"class":6431},[6692,10927,10928,10934,10939,10966,10971,10993,10998,11020],{"v-slot:output":5532},[5191,10929,10930,10931],{},"🚀 ",[5195,10932,10933],{},"Початок навчання...",[5191,10935,10936],{},[5195,10937,10938],{},"Епоха 1\u002F3:",[5295,10940,10941,10948,10954,10960],{},[5298,10942,10943,10944,10947],{},"Батч ",[5536,10945,10946],{},"100\u002F469"," | Loss: 0.8234 | Acc: 68.52%",[5298,10949,10943,10950,10953],{},[5536,10951,10952],{},"200\u002F469"," | Loss: 0.6847 | Acc: 74.18%",[5298,10955,10943,10956,10959],{},[5536,10957,10958],{},"300\u002F469"," | Loss: 0.6103 | Acc: 77.25%",[5298,10961,10943,10962,10965],{},[5536,10963,10964],{},"400\u002F469"," | Loss: 0.5642 | Acc: 79.08%\n✅ Епоха завершена | Середня втрата: 0.5387 | Точність: 80.14%",[5191,10967,10968],{},[5195,10969,10970],{},"Епоха 2\u002F3:",[5295,10972,10973,10978,10983,10988],{},[5298,10974,10943,10975,10977],{},[5536,10976,10946],{}," | Loss: 0.3824 | Acc: 85.92%",[5298,10979,10943,10980,10982],{},[5536,10981,10952],{}," | Loss: 0.3742 | Acc: 86.24%",[5298,10984,10943,10985,10987],{},[5536,10986,10958],{}," | Loss: 0.3698 | Acc: 86.47%",[5298,10989,10943,10990,10992],{},[5536,10991,10964],{}," | Loss: 0.3654 | Acc: 86.73%\n✅ Епоха завершена | Середня втрата: 0.3621 | Точність: 86.89%",[5191,10994,10995],{},[5195,10996,10997],{},"Епоха 3\u002F3:",[5295,10999,11000,11005,11010,11015],{},[5298,11001,10943,11002,11004],{},[5536,11003,10946],{}," | Loss: 0.3215 | Acc: 88.27%",[5298,11006,10943,11007,11009],{},[5536,11008,10952],{}," | Loss: 0.3178 | Acc: 88.42%",[5298,11011,10943,11012,11014],{},[5536,11013,10958],{}," | Loss: 0.3152 | Acc: 88.54%",[5298,11016,10943,11017,11019],{},[5536,11018,10964],{}," | Loss: 0.3124 | Acc: 88.68%\n✅ Епоха завершена | Середня втрата: 0.3098 | Точність: 88.79%",[5191,11021,11022,11023],{},"🎉 ",[5195,11024,11025],{},"Навчання завершено!",[5191,11027,5234],{},[5478,11029,11030,11035,11078],{},[5191,11031,11032],{},[5195,11033,11034],{},"Пояснення циклу навчання:",[11036,11037,11038,11046,11054,11062,11070],"ol",{},[5298,11039,11040,11045],{},[5195,11041,11042],{},[5308,11043,11044],{},"model.train()"," — переводить модель у режим навчання (активує Dropout, BatchNorm використовує поточні статистики батчу)",[5298,11047,11048,11053],{},[5195,11049,11050],{},[5308,11051,11052],{},"images.to(device)"," — копіює дані з CPU на GPU для прискорення обчислень",[5298,11055,11056,11061],{},[5195,11057,11058],{},[5308,11059,11060],{},"optimizer.zero_grad()"," — обнуляє градієнти з попередньої ітерації (інакше вони накопичуються)",[5298,11063,11064,11069],{},[5195,11065,11066],{},[5308,11067,11068],{},"loss.backward()"," — обчислює градієнти через backpropagation",[5298,11071,11072,11077],{},[5195,11073,11074],{},[5308,11075,11076],{},"optimizer.step()"," — оновлює ваги на основі градієнтів",[5191,11079,11080,11081,11084],{},"Цей шаблон — основа ",[5195,11082,11083],{},"будь-якого"," навчання моделі у PyTorch. Запам'ятайте його!",[5359,11086],{},[5186,11088,11090],{"id":11089},"вплив-розміру-батчу-на-навчання","Вплив розміру батчу на навчання",[5191,11092,11093,11094,11097,11098,11100],{},"Тепер проведемо детальний експеримент: навчимо ",[5195,11095,11096],{},"ідентичну модель"," із різними значеннями ",[5308,11099,7855],{}," та порівняємо результати. Це дозволить побачити trade-offs між швидкістю, стабільністю та якістю.",[6397,11102,11104,11113],{"title":11103,"kernel":6400},"batch_size_experiment.ipynb",[6402,11105,11106,11110],{"type":6404},[5378,11107,11109],{"id":11108},"експеримент-batch_size-16-64-256-1024","Експеримент: batch_size = {16, 64, 256, 1024}",[5191,11111,11112],{},"Навчимо чотири моделі з однаковою архітектурою, але різними розмірами батчу. Зберігатимемо метрики кожної епохи для візуалізації.",[6402,11114,11116,11756],{"execution-count":6414,"execution-time":11115},"320.5s",[5527,11117,11119],{"className":6418,"code":11118,"language":6420,"meta":5532,"style":5532},"import time\nfrom copy import deepcopy\n\ndef train_with_batch_size(batch_size, epochs=10):\n    \"\"\"Навчання моделі з заданим batch_size\"\"\"\n    # DataLoader\n    train_loader = DataLoader(\n        train_dataset, \n        batch_size=batch_size, \n        shuffle=True, \n        num_workers=2,\n        pin_memory=True\n    )\n    \n    # Модель (кожен раз створюємо нову з однаковими початковими вагами)\n    torch.manual_seed(42)  # Фіксуємо seed для відтворюваності\n    model = SimpleCNN().to(device)\n    criterion = nn.CrossEntropyLoss()\n    optimizer = optim.SGD(model.parameters(), lr=0.01, momentum=0.9)\n    \n    # Збереження метрик\n    history = {\n        'train_loss': [],\n        'train_acc': [],\n        'epoch_time': []\n    }\n    \n    print(f\"\\n📊 Навчання з batch_size={batch_size}\")\n    print(f\"   Кількість батчів в епосі: {len(train_loader)}\")\n    \n    for epoch in range(epochs):\n        start_time = time.time()\n        \n        model.train()\n        running_loss = 0.0\n        correct = 0\n        total = 0\n        \n        for images, labels in train_loader:\n            images, labels = images.to(device), labels.to(device)\n            \n            outputs = model(images)\n            loss = criterion(outputs, labels)\n            \n            optimizer.zero_grad()\n            loss.backward()\n            optimizer.step()\n            \n            running_loss += loss.item()\n            _, predicted = outputs.max(1)\n            total += labels.size(0)\n            correct += predicted.eq(labels).sum().item()\n        \n        epoch_time = time.time() - start_time\n        epoch_loss = running_loss \u002F len(train_loader)\n        epoch_acc = 100. * correct \u002F total\n        \n        history['train_loss'].append(epoch_loss)\n        history['train_acc'].append(epoch_acc)\n        history['epoch_time'].append(epoch_time)\n        \n        print(f\"   Епоха {epoch+1}\u002F{epochs}: Loss={epoch_loss:.4f}, \"\n              f\"Acc={epoch_acc:.2f}%, Time={epoch_time:.2f}s\")\n    \n    return history\n\n# Запускаємо експеримент для різних batch_size\nbatch_sizes = [16, 64, 256, 1024]\nresults = {}\n\nfor bs in batch_sizes:\n    results[bs] = train_with_batch_size(bs, epochs=10)\n\nprint(\"\\n✅ Експеримент завершено!\")\n",[5308,11120,11121,11128,11140,11144,11165,11170,11175,11179,11184,11191,11201,11211,11220,11224,11228,11233,11245,11250,11255,11276,11280,11285,11290,11298,11305,11313,11318,11322,11347,11369,11373,11385,11390,11394,11399,11406,11413,11420,11424,11436,11441,11446,11451,11456,11460,11465,11470,11475,11479,11484,11493,11502,11507,11511,11516,11526,11535,11539,11550,11560,11571,11576,11619,11650,11655,11663,11668,11674,11698,11704,11709,11721,11735,11740],{"__ignoreMap":5532},[5536,11122,11123,11125],{"class":5538,"line":5539},[5536,11124,6428],{"class":6427},[5536,11126,11127],{"class":6431}," time\n",[5536,11129,11130,11132,11135,11137],{"class":5538,"line":5545},[5536,11131,6455],{"class":6427},[5536,11133,11134],{"class":6431}," copy ",[5536,11136,6428],{"class":6427},[5536,11138,11139],{"class":6431}," deepcopy\n",[5536,11141,11142],{"class":5538,"line":5551},[5536,11143,5567],{"emptyLinePlaceholder":5566},[5536,11145,11146,11148,11151,11153,11155,11157,11159,11161,11163],{"class":5538,"line":5557},[5536,11147,6773],{"class":6616},[5536,11149,11150],{"class":6592}," train_with_batch_size",[5536,11152,6613],{"class":6431},[5536,11154,7855],{"class":6781},[5536,11156,6552],{"class":6431},[5536,11158,7558],{"class":6781},[5536,11160,7141],{"class":6431},[5536,11162,7791],{"class":6481},[5536,11164,6785],{"class":6431},[5536,11166,11167],{"class":5538,"line":5563},[5536,11168,11169],{"class":6620},"    \"\"\"Навчання моделі з заданим batch_size\"\"\"\n",[5536,11171,11172],{"class":5538,"line":5570},[5536,11173,11174],{"class":6472},"    # DataLoader\n",[5536,11176,11177],{"class":5538,"line":5576},[5536,11178,9532],{"class":6431},[5536,11180,11181],{"class":5538,"line":5582},[5536,11182,11183],{"class":6431},"        train_dataset, \n",[5536,11185,11186,11188],{"class":5538,"line":5588},[5536,11187,9542],{"class":6781},[5536,11189,11190],{"class":6431},"=batch_size, \n",[5536,11192,11193,11195,11197,11199],{"class":5538,"line":5593},[5536,11194,9550],{"class":6781},[5536,11196,7141],{"class":6431},[5536,11198,7190],{"class":6616},[5536,11200,7169],{"class":6431},[5536,11202,11203,11205,11207,11209],{"class":5538,"line":5599},[5536,11204,9565],{"class":6781},[5536,11206,7141],{"class":6431},[5536,11208,6510],{"class":6481},[5536,11210,9225],{"class":6431},[5536,11212,11213,11215,11217],{"class":5538,"line":5604},[5536,11214,9579],{"class":6781},[5536,11216,7141],{"class":6431},[5536,11218,11219],{"class":6616},"True\n",[5536,11221,11222],{"class":5538,"line":5610},[5536,11223,9591],{"class":6431},[5536,11225,11226],{"class":5538,"line":5616},[5536,11227,7603],{"class":6431},[5536,11229,11230],{"class":5538,"line":5622},[5536,11231,11232],{"class":6472},"    # Модель (кожен раз створюємо нову з однаковими початковими вагами)\n",[5536,11234,11235,11238,11240,11242],{"class":5538,"line":5628},[5536,11236,11237],{"class":6431},"    torch.manual_seed(",[5536,11239,6482],{"class":6481},[5536,11241,10211],{"class":6431},[5536,11243,11244],{"class":6472},"# Фіксуємо seed для відтворюваності\n",[5536,11246,11247],{"class":5538,"line":5634},[5536,11248,11249],{"class":6431},"    model = SimpleCNN().to(device)\n",[5536,11251,11252],{"class":5538,"line":5639},[5536,11253,11254],{"class":6431},"    criterion = nn.CrossEntropyLoss()\n",[5536,11256,11257,11260,11262,11264,11266,11268,11270,11272,11274],{"class":5538,"line":5645},[5536,11258,11259],{"class":6431},"    optimizer = optim.SGD(model.parameters(), ",[5536,11261,7549],{"class":6781},[5536,11263,7141],{"class":6431},[5536,11265,10297],{"class":6481},[5536,11267,6552],{"class":6431},[5536,11269,10302],{"class":6781},[5536,11271,7141],{"class":6431},[5536,11273,10307],{"class":6481},[5536,11275,6485],{"class":6431},[5536,11277,11278],{"class":5538,"line":5650},[5536,11279,7603],{"class":6431},[5536,11281,11282],{"class":5538,"line":5656},[5536,11283,11284],{"class":6472},"    # Збереження метрик\n",[5536,11286,11287],{"class":5538,"line":5662},[5536,11288,11289],{"class":6431},"    history = {\n",[5536,11291,11292,11295],{"class":5538,"line":5668},[5536,11293,11294],{"class":6620},"        'train_loss'",[5536,11296,11297],{"class":6431},": [],\n",[5536,11299,11300,11303],{"class":5538,"line":5673},[5536,11301,11302],{"class":6620},"        'train_acc'",[5536,11304,11297],{"class":6431},[5536,11306,11307,11310],{"class":5538,"line":5679},[5536,11308,11309],{"class":6620},"        'epoch_time'",[5536,11311,11312],{"class":6431},": []\n",[5536,11314,11315],{"class":5538,"line":5685},[5536,11316,11317],{"class":6431},"    }\n",[5536,11319,11320],{"class":5538,"line":5691},[5536,11321,7603],{"class":6431},[5536,11323,11324,11326,11328,11330,11332,11334,11337,11339,11341,11343,11345],{"class":5538,"line":5697},[5536,11325,9625],{"class":6592},[5536,11327,6613],{"class":6431},[5536,11329,6617],{"class":6616},[5536,11331,8779],{"class":6620},[5536,11333,8783],{"class":8782},[5536,11335,11336],{"class":6620},"📊 Навчання з batch_size=",[5536,11338,6624],{"class":6616},[5536,11340,7855],{"class":6431},[5536,11342,6632],{"class":6616},[5536,11344,8779],{"class":6620},[5536,11346,6485],{"class":6431},[5536,11348,11349,11351,11353,11355,11357,11359,11361,11363,11365,11367],{"class":5538,"line":5703},[5536,11350,9625],{"class":6592},[5536,11352,6613],{"class":6431},[5536,11354,6617],{"class":6616},[5536,11356,9756],{"class":6620},[5536,11358,6624],{"class":6616},[5536,11360,6593],{"class":6592},[5536,11362,9763],{"class":6431},[5536,11364,6632],{"class":6616},[5536,11366,8779],{"class":6620},[5536,11368,6485],{"class":6431},[5536,11370,11371],{"class":5538,"line":5708},[5536,11372,7603],{"class":6431},[5536,11374,11375,11377,11379,11381,11383],{"class":5538,"line":6197},[5536,11376,7052],{"class":6427},[5536,11378,7610],{"class":6431},[5536,11380,7036],{"class":6427},[5536,11382,7039],{"class":6592},[5536,11384,7617],{"class":6431},[5536,11386,11387],{"class":5538,"line":6202},[5536,11388,11389],{"class":6431},"        start_time = time.time()\n",[5536,11391,11392],{"class":5538,"line":6208},[5536,11393,10586],{"class":6431},[5536,11395,11396],{"class":5538,"line":6214},[5536,11397,11398],{"class":6431},"        model.train()\n",[5536,11400,11401,11404],{"class":5538,"line":6220},[5536,11402,11403],{"class":6431},"        running_loss = ",[5536,11405,10538],{"class":6481},[5536,11407,11408,11411],{"class":5538,"line":6225},[5536,11409,11410],{"class":6431},"        correct = ",[5536,11412,10546],{"class":6481},[5536,11414,11415,11418],{"class":5538,"line":6230},[5536,11416,11417],{"class":6431},"        total = ",[5536,11419,10546],{"class":6481},[5536,11421,11422],{"class":5538,"line":7121},[5536,11423,10586],{"class":6431},[5536,11425,11426,11428,11431,11433],{"class":5538,"line":7127},[5536,11427,7741],{"class":6427},[5536,11429,11430],{"class":6431}," images, labels ",[5536,11432,7036],{"class":6427},[5536,11434,11435],{"class":6431}," train_loader:\n",[5536,11437,11438],{"class":5538,"line":7149},[5536,11439,11440],{"class":6431},"            images, labels = images.to(device), labels.to(device)\n",[5536,11442,11443],{"class":5538,"line":7172},[5536,11444,11445],{"class":6431},"            \n",[5536,11447,11448],{"class":5538,"line":7195},[5536,11449,11450],{"class":6431},"            outputs = model(images)\n",[5536,11452,11453],{"class":5538,"line":7216},[5536,11454,11455],{"class":6431},"            loss = criterion(outputs, labels)\n",[5536,11457,11458],{"class":5538,"line":7235},[5536,11459,11445],{"class":6431},[5536,11461,11462],{"class":5538,"line":7254},[5536,11463,11464],{"class":6431},"            optimizer.zero_grad()\n",[5536,11466,11467],{"class":5538,"line":7283},[5536,11468,11469],{"class":6431},"            loss.backward()\n",[5536,11471,11472],{"class":5538,"line":7309},[5536,11473,11474],{"class":6431},"            optimizer.step()\n",[5536,11476,11477],{"class":5538,"line":7331},[5536,11478,11445],{"class":6431},[5536,11480,11481],{"class":5538,"line":7336},[5536,11482,11483],{"class":6431},"            running_loss += loss.item()\n",[5536,11485,11486,11489,11491],{"class":5538,"line":7342},[5536,11487,11488],{"class":6431},"            _, predicted = outputs.max(",[5536,11490,6414],{"class":6481},[5536,11492,6485],{"class":6431},[5536,11494,11495,11498,11500],{"class":5538,"line":7353},[5536,11496,11497],{"class":6431},"            total += labels.size(",[5536,11499,6656],{"class":6481},[5536,11501,6485],{"class":6431},[5536,11503,11504],{"class":5538,"line":7387},[5536,11505,11506],{"class":6431},"            correct += predicted.eq(labels).sum().item()\n",[5536,11508,11509],{"class":5538,"line":7411},[5536,11510,10586],{"class":6431},[5536,11512,11513],{"class":5538,"line":7429},[5536,11514,11515],{"class":6431},"        epoch_time = time.time() - start_time\n",[5536,11517,11518,11521,11523],{"class":5538,"line":7447},[5536,11519,11520],{"class":6431},"        epoch_loss = running_loss \u002F ",[5536,11522,6593],{"class":6592},[5536,11524,11525],{"class":6431},"(train_loader)\n",[5536,11527,11528,11531,11533],{"class":5538,"line":7474},[5536,11529,11530],{"class":6431},"        epoch_acc = ",[5536,11532,6992],{"class":6481},[5536,11534,10796],{"class":6431},[5536,11536,11537],{"class":5538,"line":7489},[5536,11538,10586],{"class":6431},[5536,11540,11541,11544,11547],{"class":5538,"line":7494},[5536,11542,11543],{"class":6431},"        history[",[5536,11545,11546],{"class":6620},"'train_loss'",[5536,11548,11549],{"class":6431},"].append(epoch_loss)\n",[5536,11551,11552,11554,11557],{"class":5538,"line":7500},[5536,11553,11543],{"class":6431},[5536,11555,11556],{"class":6620},"'train_acc'",[5536,11558,11559],{"class":6431},"].append(epoch_acc)\n",[5536,11561,11563,11565,11568],{"class":5538,"line":11562},60,[5536,11564,11543],{"class":6431},[5536,11566,11567],{"class":6620},"'epoch_time'",[5536,11569,11570],{"class":6431},"].append(epoch_time)\n",[5536,11572,11574],{"class":5538,"line":11573},61,[5536,11575,10586],{"class":6431},[5536,11577,11579,11582,11584,11586,11589,11591,11594,11596,11598,11600,11602,11604,11606,11609,11611,11614,11616],{"class":5538,"line":11578},62,[5536,11580,11581],{"class":6592},"        print",[5536,11583,6613],{"class":6431},[5536,11585,6617],{"class":6616},[5536,11587,11588],{"class":6620},"\"   Епоха ",[5536,11590,6624],{"class":6616},[5536,11592,11593],{"class":6431},"epoch+",[5536,11595,6414],{"class":6481},[5536,11597,6632],{"class":6616},[5536,11599,10716],{"class":6620},[5536,11601,6624],{"class":6616},[5536,11603,7558],{"class":6431},[5536,11605,6632],{"class":6616},[5536,11607,11608],{"class":6620},": Loss=",[5536,11610,6624],{"class":6616},[5536,11612,11613],{"class":6431},"epoch_loss",[5536,11615,10748],{"class":6616},[5536,11617,11618],{"class":6620},", \"\n",[5536,11620,11622,11625,11628,11630,11633,11635,11638,11640,11643,11645,11648],{"class":5538,"line":11621},63,[5536,11623,11624],{"class":6616},"              f",[5536,11626,11627],{"class":6620},"\"Acc=",[5536,11629,6624],{"class":6616},[5536,11631,11632],{"class":6431},"epoch_acc",[5536,11634,9731],{"class":6616},[5536,11636,11637],{"class":6620},"%, Time=",[5536,11639,6624],{"class":6616},[5536,11641,11642],{"class":6431},"epoch_time",[5536,11644,9731],{"class":6616},[5536,11646,11647],{"class":6620},"s\"",[5536,11649,6485],{"class":6431},[5536,11651,11653],{"class":5538,"line":11652},64,[5536,11654,7603],{"class":6431},[5536,11656,11658,11660],{"class":5538,"line":11657},65,[5536,11659,6790],{"class":6427},[5536,11661,11662],{"class":6431}," history\n",[5536,11664,11666],{"class":5538,"line":11665},66,[5536,11667,5567],{"emptyLinePlaceholder":5566},[5536,11669,11671],{"class":5538,"line":11670},67,[5536,11672,11673],{"class":6472},"# Запускаємо експеримент для різних batch_size\n",[5536,11675,11677,11679,11682,11684,11686,11688,11691,11693,11696],{"class":5538,"line":11676},68,[5536,11678,9497],{"class":6431},[5536,11680,11681],{"class":6481},"16",[5536,11683,6552],{"class":6431},[5536,11685,10043],{"class":6481},[5536,11687,6552],{"class":6431},[5536,11689,11690],{"class":6481},"256",[5536,11692,6552],{"class":6431},[5536,11694,11695],{"class":6481},"1024",[5536,11697,7758],{"class":6431},[5536,11699,11701],{"class":5538,"line":11700},69,[5536,11702,11703],{"class":6431},"results = {}\n",[5536,11705,11707],{"class":5538,"line":11706},70,[5536,11708,5567],{"emptyLinePlaceholder":5566},[5536,11710,11712,11714,11717,11719],{"class":5538,"line":11711},71,[5536,11713,7030],{"class":6427},[5536,11715,11716],{"class":6431}," bs ",[5536,11718,7036],{"class":6427},[5536,11720,9527],{"class":6431},[5536,11722,11724,11727,11729,11731,11733],{"class":5538,"line":11723},72,[5536,11725,11726],{"class":6431},"    results[bs] = train_with_batch_size(bs, ",[5536,11728,7558],{"class":6781},[5536,11730,7141],{"class":6431},[5536,11732,7791],{"class":6481},[5536,11734,6485],{"class":6431},[5536,11736,11738],{"class":5538,"line":11737},73,[5536,11739,5567],{"emptyLinePlaceholder":5566},[5536,11741,11743,11745,11747,11749,11751,11754],{"class":5538,"line":11742},74,[5536,11744,6610],{"class":6592},[5536,11746,6613],{"class":6431},[5536,11748,8779],{"class":6620},[5536,11750,8783],{"class":8782},[5536,11752,11753],{"class":6620},"✅ Експеримент завершено!\"",[5536,11755,6485],{"class":6431},[6692,11757,11758,11763,11780,11785,11801,11806,11822,11827,11843],{"v-slot:output":5532},[5191,11759,8880,11760],{},[5195,11761,11762],{},"Навчання з batch_size=16",[5295,11764,11765,11768,11771,11774,11777],{},[5298,11766,11767],{},"Кількість батчів в епосі: 3750",[5298,11769,11770],{},"Епоха 1\u002F10: Loss=0.6234, Acc=77.42%, Time=52.3s",[5298,11772,11773],{},"Епоха 2\u002F10: Loss=0.4128, Acc=84.85%, Time=51.8s",[5298,11775,11776],{},"...",[5298,11778,11779],{},"Епоха 10\u002F10: Loss=0.2456, Acc=90.84%, Time=51.2s",[5191,11781,8880,11782],{},[5195,11783,11784],{},"Навчання з batch_size=64",[5295,11786,11787,11790,11793,11796,11798],{},[5298,11788,11789],{},"Кількість батчів в епосі: 937",[5298,11791,11792],{},"Епоха 1\u002F10: Loss=0.5987, Acc=78.12%, Time=18.5s",[5298,11794,11795],{},"Епоха 2\u002F10: Loss=0.3892, Acc=85.67%, Time=18.2s",[5298,11797,11776],{},[5298,11799,11800],{},"Епоха 10\u002F10: Loss=0.2398, Acc=91.23%, Time=18.1s",[5191,11802,8880,11803],{},[5195,11804,11805],{},"Навчання з batch_size=256",[5295,11807,11808,11811,11814,11817,11819],{},[5298,11809,11810],{},"Кількість батчів в епосі: 234",[5298,11812,11813],{},"Епоха 1\u002F10: Loss=0.5721, Acc=79.05%, Time=8.4s",[5298,11815,11816],{},"Епоха 2\u002F10: Loss=0.3645, Acc=86.42%, Time=8.3s",[5298,11818,11776],{},[5298,11820,11821],{},"Епоха 10\u002F10: Loss=0.2512, Acc=90.68%, Time=8.2s",[5191,11823,8880,11824],{},[5195,11825,11826],{},"Навчання з batch_size=1024",[5295,11828,11829,11832,11835,11838,11840],{},[5298,11830,11831],{},"Кількість батчів в епосі: 58",[5298,11833,11834],{},"Епоха 1\u002F10: Loss=0.5342, Acc=80.18%, Time=4.2s",[5298,11836,11837],{},"Епоха 2\u002F10: Loss=0.3456, Acc=87.12%, Time=4.1s",[5298,11839,11776],{},[5298,11841,11842],{},"Епоха 10\u002F10: Loss=0.2745, Acc=89.52%, Time=4.0s",[5191,11844,11845,11846],{},"✅ ",[5195,11847,11848],{},"Експеримент завершено!",[6402,11850,11852,12537],{"execution-count":6510,"execution-time":11851},"1.8s",[5527,11853,11855],{"className":6418,"code":11854,"language":6420,"meta":5532,"style":5532},"import matplotlib.pyplot as plt\n\nfig, axes = plt.subplots(1, 3, figsize=(18, 5))\n\n# Графік 1: Втрати по епохах\nax1 = axes[0]\nfor bs in batch_sizes:\n    ax1.plot(range(1, 11), results[bs]['train_loss'], \n             marker='o', linewidth=2, label=f'Batch {bs}')\nax1.set_xlabel('Епоха', fontsize=12)\nax1.set_ylabel('Train Loss', fontsize=12)\nax1.set_title('Динаміка втрат', fontsize=14, fontweight='bold')\nax1.legend(fontsize=11)\nax1.grid(alpha=0.3)\n\n# Графік 2: Точність по епохах\nax2 = axes[1]\nfor bs in batch_sizes:\n    ax2.plot(range(1, 11), results[bs]['train_acc'], \n             marker='s', linewidth=2, label=f'Batch {bs}')\nax2.set_xlabel('Епоха', fontsize=12)\nax2.set_ylabel('Train Accuracy (%)', fontsize=12)\nax2.set_title('Динаміка точності', fontsize=14, fontweight='bold')\nax2.legend(fontsize=11)\nax2.grid(alpha=0.3)\n\n# Графік 3: Час виконання епохи\nax3 = axes[2]\navg_times = [sum(results[bs]['epoch_time']) \u002F 10 for bs in batch_sizes]\ncolors = ['#3b82f6', '#22c55e', '#f59e0b', '#ef4444']\nbars = ax3.bar([str(bs) for bs in batch_sizes], avg_times, color=colors, alpha=0.7)\nax3.set_xlabel('Batch Size', fontsize=12)\nax3.set_ylabel('Середній час епохи (секунди)', fontsize=12)\nax3.set_title('Швидкість навчання', fontsize=14, fontweight='bold')\nax3.grid(axis='y', alpha=0.3)\n\n# Додамо значення на стовпчики\nfor bar, time_val in zip(bars, avg_times):\n    height = bar.get_height()\n    ax3.text(bar.get_x() + bar.get_width()\u002F2., height,\n             f'{time_val:.1f}s', ha='center', va='bottom', \n             fontsize=11, fontweight='bold')\n\nplt.tight_layout()\nplt.show()\n",[5308,11856,11857,11867,11871,11895,11899,11904,11913,11923,11948,11988,12005,12022,12047,12060,12073,12077,12082,12091,12101,12122,12159,12175,12192,12217,12230,12242,12246,12251,12260,12287,12309,12342,12360,12378,12404,12427,12431,12436,12451,12456,12466,12506,12525,12529,12533],{"__ignoreMap":5532},[5536,11858,11859,11861,11863,11865],{"class":5538,"line":5539},[5536,11860,6428],{"class":6427},[5536,11862,6445],{"class":6431},[5536,11864,6435],{"class":6427},[5536,11866,6450],{"class":6431},[5536,11868,11869],{"class":5538,"line":5545},[5536,11870,5567],{"emptyLinePlaceholder":5566},[5536,11872,11873,11875,11877,11879,11881,11883,11885,11887,11889,11891,11893],{"class":5538,"line":5551},[5536,11874,8249],{"class":6431},[5536,11876,6414],{"class":6481},[5536,11878,6552],{"class":6431},[5536,11880,6983],{"class":6481},[5536,11882,6552],{"class":6431},[5536,11884,7100],{"class":6781},[5536,11886,7103],{"class":6431},[5536,11888,8264],{"class":6481},[5536,11890,6552],{"class":6431},[5536,11892,8544],{"class":6481},[5536,11894,7114],{"class":6431},[5536,11896,11897],{"class":5538,"line":5557},[5536,11898,5567],{"emptyLinePlaceholder":5566},[5536,11900,11901],{"class":5538,"line":5563},[5536,11902,11903],{"class":6472},"# Графік 1: Втрати по епохах\n",[5536,11905,11906,11909,11911],{"class":5538,"line":5570},[5536,11907,11908],{"class":6431},"ax1 = axes[",[5536,11910,6656],{"class":6481},[5536,11912,7758],{"class":6431},[5536,11914,11915,11917,11919,11921],{"class":5538,"line":5576},[5536,11916,7030],{"class":6427},[5536,11918,11716],{"class":6431},[5536,11920,7036],{"class":6427},[5536,11922,9527],{"class":6431},[5536,11924,11925,11928,11931,11933,11935,11937,11940,11943,11945],{"class":5538,"line":5582},[5536,11926,11927],{"class":6431},"    ax1.plot(",[5536,11929,11930],{"class":6592},"range",[5536,11932,6613],{"class":6431},[5536,11934,6414],{"class":6481},[5536,11936,6552],{"class":6431},[5536,11938,11939],{"class":6481},"11",[5536,11941,11942],{"class":6431},"), results[bs][",[5536,11944,11546],{"class":6620},[5536,11946,11947],{"class":6431},"], \n",[5536,11949,11950,11953,11955,11957,11959,11961,11963,11965,11967,11969,11971,11973,11976,11978,11981,11983,11986],{"class":5538,"line":5588},[5536,11951,11952],{"class":6781},"             marker",[5536,11954,7141],{"class":6431},[5536,11956,8504],{"class":6620},[5536,11958,6552],{"class":6431},[5536,11960,8435],{"class":6781},[5536,11962,7141],{"class":6431},[5536,11964,6510],{"class":6481},[5536,11966,6552],{"class":6431},[5536,11968,8463],{"class":6781},[5536,11970,7141],{"class":6431},[5536,11972,6617],{"class":6616},[5536,11974,11975],{"class":6620},"'Batch ",[5536,11977,6624],{"class":6616},[5536,11979,11980],{"class":6431},"bs",[5536,11982,6632],{"class":6616},[5536,11984,11985],{"class":6620},"'",[5536,11987,6485],{"class":6431},[5536,11989,11990,11992,11995,11997,11999,12001,12003],{"class":5538,"line":5593},[5536,11991,7198],{"class":6431},[5536,11993,11994],{"class":6620},"'Епоха'",[5536,11996,6552],{"class":6431},[5536,11998,7206],{"class":6781},[5536,12000,7141],{"class":6431},[5536,12002,7211],{"class":6481},[5536,12004,6485],{"class":6431},[5536,12006,12007,12009,12012,12014,12016,12018,12020],{"class":5538,"line":5599},[5536,12008,7219],{"class":6431},[5536,12010,12011],{"class":6620},"'Train Loss'",[5536,12013,6552],{"class":6431},[5536,12015,7206],{"class":6781},[5536,12017,7141],{"class":6431},[5536,12019,7211],{"class":6481},[5536,12021,6485],{"class":6431},[5536,12023,12024,12026,12029,12031,12033,12035,12037,12039,12041,12043,12045],{"class":5538,"line":5604},[5536,12025,7257],{"class":6431},[5536,12027,12028],{"class":6620},"'Динаміка втрат'",[5536,12030,6552],{"class":6431},[5536,12032,7206],{"class":6781},[5536,12034,7141],{"class":6431},[5536,12036,7106],{"class":6481},[5536,12038,6552],{"class":6431},[5536,12040,7273],{"class":6781},[5536,12042,7141],{"class":6431},[5536,12044,7278],{"class":6620},[5536,12046,6485],{"class":6431},[5536,12048,12049,12052,12054,12056,12058],{"class":5538,"line":5610},[5536,12050,12051],{"class":6431},"ax1.legend(",[5536,12053,7206],{"class":6781},[5536,12055,7141],{"class":6431},[5536,12057,11939],{"class":6481},[5536,12059,6485],{"class":6431},[5536,12061,12062,12065,12067,12069,12071],{"class":5538,"line":5616},[5536,12063,12064],{"class":6431},"ax1.grid(",[5536,12066,7161],{"class":6781},[5536,12068,7141],{"class":6431},[5536,12070,7484],{"class":6481},[5536,12072,6485],{"class":6431},[5536,12074,12075],{"class":5538,"line":5622},[5536,12076,5567],{"emptyLinePlaceholder":5566},[5536,12078,12079],{"class":5538,"line":5628},[5536,12080,12081],{"class":6472},"# Графік 2: Точність по епохах\n",[5536,12083,12084,12087,12089],{"class":5538,"line":5634},[5536,12085,12086],{"class":6431},"ax2 = axes[",[5536,12088,6414],{"class":6481},[5536,12090,7758],{"class":6431},[5536,12092,12093,12095,12097,12099],{"class":5538,"line":5639},[5536,12094,7030],{"class":6427},[5536,12096,11716],{"class":6431},[5536,12098,7036],{"class":6427},[5536,12100,9527],{"class":6431},[5536,12102,12103,12106,12108,12110,12112,12114,12116,12118,12120],{"class":5538,"line":5645},[5536,12104,12105],{"class":6431},"    ax2.plot(",[5536,12107,11930],{"class":6592},[5536,12109,6613],{"class":6431},[5536,12111,6414],{"class":6481},[5536,12113,6552],{"class":6431},[5536,12115,11939],{"class":6481},[5536,12117,11942],{"class":6431},[5536,12119,11556],{"class":6620},[5536,12121,11947],{"class":6431},[5536,12123,12124,12126,12128,12131,12133,12135,12137,12139,12141,12143,12145,12147,12149,12151,12153,12155,12157],{"class":5538,"line":5650},[5536,12125,11952],{"class":6781},[5536,12127,7141],{"class":6431},[5536,12129,12130],{"class":6620},"'s'",[5536,12132,6552],{"class":6431},[5536,12134,8435],{"class":6781},[5536,12136,7141],{"class":6431},[5536,12138,6510],{"class":6481},[5536,12140,6552],{"class":6431},[5536,12142,8463],{"class":6781},[5536,12144,7141],{"class":6431},[5536,12146,6617],{"class":6616},[5536,12148,11975],{"class":6620},[5536,12150,6624],{"class":6616},[5536,12152,11980],{"class":6431},[5536,12154,6632],{"class":6616},[5536,12156,11985],{"class":6620},[5536,12158,6485],{"class":6431},[5536,12160,12161,12163,12165,12167,12169,12171,12173],{"class":5538,"line":5656},[5536,12162,7414],{"class":6431},[5536,12164,11994],{"class":6620},[5536,12166,6552],{"class":6431},[5536,12168,7206],{"class":6781},[5536,12170,7141],{"class":6431},[5536,12172,7211],{"class":6481},[5536,12174,6485],{"class":6431},[5536,12176,12177,12179,12182,12184,12186,12188,12190],{"class":5538,"line":5662},[5536,12178,7432],{"class":6431},[5536,12180,12181],{"class":6620},"'Train Accuracy (%)'",[5536,12183,6552],{"class":6431},[5536,12185,7206],{"class":6781},[5536,12187,7141],{"class":6431},[5536,12189,7211],{"class":6481},[5536,12191,6485],{"class":6431},[5536,12193,12194,12196,12199,12201,12203,12205,12207,12209,12211,12213,12215],{"class":5538,"line":5668},[5536,12195,7450],{"class":6431},[5536,12197,12198],{"class":6620},"'Динаміка точності'",[5536,12200,6552],{"class":6431},[5536,12202,7206],{"class":6781},[5536,12204,7141],{"class":6431},[5536,12206,7106],{"class":6481},[5536,12208,6552],{"class":6431},[5536,12210,7273],{"class":6781},[5536,12212,7141],{"class":6431},[5536,12214,7278],{"class":6620},[5536,12216,6485],{"class":6431},[5536,12218,12219,12222,12224,12226,12228],{"class":5538,"line":5673},[5536,12220,12221],{"class":6431},"ax2.legend(",[5536,12223,7206],{"class":6781},[5536,12225,7141],{"class":6431},[5536,12227,11939],{"class":6481},[5536,12229,6485],{"class":6431},[5536,12231,12232,12234,12236,12238,12240],{"class":5538,"line":5679},[5536,12233,7477],{"class":6431},[5536,12235,7161],{"class":6781},[5536,12237,7141],{"class":6431},[5536,12239,7484],{"class":6481},[5536,12241,6485],{"class":6431},[5536,12243,12244],{"class":5538,"line":5685},[5536,12245,5567],{"emptyLinePlaceholder":5566},[5536,12247,12248],{"class":5538,"line":5691},[5536,12249,12250],{"class":6472},"# Графік 3: Час виконання епохи\n",[5536,12252,12253,12256,12258],{"class":5538,"line":5697},[5536,12254,12255],{"class":6431},"ax3 = axes[",[5536,12257,6510],{"class":6481},[5536,12259,7758],{"class":6431},[5536,12261,12262,12265,12267,12270,12272,12275,12277,12280,12282,12284],{"class":5538,"line":5703},[5536,12263,12264],{"class":6431},"avg_times = [",[5536,12266,10389],{"class":6592},[5536,12268,12269],{"class":6431},"(results[bs][",[5536,12271,11567],{"class":6620},[5536,12273,12274],{"class":6431},"]) \u002F ",[5536,12276,7791],{"class":6481},[5536,12278,12279],{"class":6427}," for",[5536,12281,11716],{"class":6431},[5536,12283,7036],{"class":6427},[5536,12285,12286],{"class":6431}," batch_sizes]\n",[5536,12288,12289,12292,12294,12296,12298,12300,12303,12305,12307],{"class":5538,"line":5708},[5536,12290,12291],{"class":6431},"colors = [",[5536,12293,8307],{"class":6620},[5536,12295,6552],{"class":6431},[5536,12297,8346],{"class":6620},[5536,12299,6552],{"class":6431},[5536,12301,12302],{"class":6620},"'#f59e0b'",[5536,12304,6552],{"class":6431},[5536,12306,8327],{"class":6620},[5536,12308,7758],{"class":6431},[5536,12310,12311,12314,12317,12320,12322,12324,12326,12329,12331,12334,12336,12338,12340],{"class":5538,"line":6197},[5536,12312,12313],{"class":6431},"bars = ax3.bar([",[5536,12315,12316],{"class":9949},"str",[5536,12318,12319],{"class":6431},"(bs) ",[5536,12321,7030],{"class":6427},[5536,12323,11716],{"class":6431},[5536,12325,7036],{"class":6427},[5536,12327,12328],{"class":6431}," batch_sizes], avg_times, ",[5536,12330,8429],{"class":6781},[5536,12332,12333],{"class":6431},"=colors, ",[5536,12335,7161],{"class":6781},[5536,12337,7141],{"class":6431},[5536,12339,7382],{"class":6481},[5536,12341,6485],{"class":6431},[5536,12343,12344,12347,12350,12352,12354,12356,12358],{"class":5538,"line":6202},[5536,12345,12346],{"class":6431},"ax3.set_xlabel(",[5536,12348,12349],{"class":6620},"'Batch Size'",[5536,12351,6552],{"class":6431},[5536,12353,7206],{"class":6781},[5536,12355,7141],{"class":6431},[5536,12357,7211],{"class":6481},[5536,12359,6485],{"class":6431},[5536,12361,12362,12365,12368,12370,12372,12374,12376],{"class":5538,"line":6208},[5536,12363,12364],{"class":6431},"ax3.set_ylabel(",[5536,12366,12367],{"class":6620},"'Середній час епохи (секунди)'",[5536,12369,6552],{"class":6431},[5536,12371,7206],{"class":6781},[5536,12373,7141],{"class":6431},[5536,12375,7211],{"class":6481},[5536,12377,6485],{"class":6431},[5536,12379,12380,12383,12386,12388,12390,12392,12394,12396,12398,12400,12402],{"class":5538,"line":6214},[5536,12381,12382],{"class":6431},"ax3.set_title(",[5536,12384,12385],{"class":6620},"'Швидкість навчання'",[5536,12387,6552],{"class":6431},[5536,12389,7206],{"class":6781},[5536,12391,7141],{"class":6431},[5536,12393,7106],{"class":6481},[5536,12395,6552],{"class":6431},[5536,12397,7273],{"class":6781},[5536,12399,7141],{"class":6431},[5536,12401,7278],{"class":6620},[5536,12403,6485],{"class":6431},[5536,12405,12406,12409,12412,12414,12417,12419,12421,12423,12425],{"class":5538,"line":6220},[5536,12407,12408],{"class":6431},"ax3.grid(",[5536,12410,12411],{"class":6781},"axis",[5536,12413,7141],{"class":6431},[5536,12415,12416],{"class":6620},"'y'",[5536,12418,6552],{"class":6431},[5536,12420,7161],{"class":6781},[5536,12422,7141],{"class":6431},[5536,12424,7484],{"class":6481},[5536,12426,6485],{"class":6431},[5536,12428,12429],{"class":5538,"line":6225},[5536,12430,5567],{"emptyLinePlaceholder":5566},[5536,12432,12433],{"class":5538,"line":6230},[5536,12434,12435],{"class":6472},"# Додамо значення на стовпчики\n",[5536,12437,12438,12440,12443,12445,12448],{"class":5538,"line":7121},[5536,12439,7030],{"class":6427},[5536,12441,12442],{"class":6431}," bar, time_val ",[5536,12444,7036],{"class":6427},[5536,12446,12447],{"class":6592}," zip",[5536,12449,12450],{"class":6431},"(bars, avg_times):\n",[5536,12452,12453],{"class":5538,"line":7127},[5536,12454,12455],{"class":6431},"    height = bar.get_height()\n",[5536,12457,12458,12461,12463],{"class":5538,"line":7149},[5536,12459,12460],{"class":6431},"    ax3.text(bar.get_x() + bar.get_width()\u002F",[5536,12462,6510],{"class":6481},[5536,12464,12465],{"class":6431},"., height,\n",[5536,12467,12468,12471,12473,12475,12478,12481,12484,12486,12489,12491,12494,12496,12499,12501,12504],{"class":5538,"line":7172},[5536,12469,12470],{"class":6616},"             f",[5536,12472,11985],{"class":6620},[5536,12474,6624],{"class":6616},[5536,12476,12477],{"class":6431},"time_val",[5536,12479,12480],{"class":6616},":.1f}",[5536,12482,12483],{"class":6620},"s'",[5536,12485,6552],{"class":6431},[5536,12487,12488],{"class":6781},"ha",[5536,12490,7141],{"class":6431},[5536,12492,12493],{"class":6620},"'center'",[5536,12495,6552],{"class":6431},[5536,12497,12498],{"class":6781},"va",[5536,12500,7141],{"class":6431},[5536,12502,12503],{"class":6620},"'bottom'",[5536,12505,7169],{"class":6431},[5536,12507,12508,12511,12513,12515,12517,12519,12521,12523],{"class":5538,"line":7195},[5536,12509,12510],{"class":6781},"             fontsize",[5536,12512,7141],{"class":6431},[5536,12514,11939],{"class":6481},[5536,12516,6552],{"class":6431},[5536,12518,7273],{"class":6781},[5536,12520,7141],{"class":6431},[5536,12522,7278],{"class":6620},[5536,12524,6485],{"class":6431},[5536,12526,12527],{"class":5538,"line":7216},[5536,12528,5567],{"emptyLinePlaceholder":5566},[5536,12530,12531],{"class":5538,"line":7235},[5536,12532,7497],{"class":6431},[5536,12534,12535],{"class":5538,"line":7254},[5536,12536,7503],{"class":6431},[6692,12538,12539],{"v-slot:output":5532},[7507,12540],{"alt":12541,"className":12542,"src":12543},"Порівняння різних batch_size: втрати, точність та швидкість навчання",[7511],"\u002Fimages\u002Fai-python\u002Fbatching-normalization-deep-networks\u002Fmini-batch-gradient-descent\u002F03.png",[6402,12545,12546],{"type":6404},[5378,12547,12549],{"id":12548},"аналіз-результатів","Аналіз результатів",[6402,12551,12552,12791],{"execution-count":6983},[5527,12553,12555],{"className":6418,"code":12554,"language":6420,"meta":5532,"style":5532},"# Підсумкова таблиця\nprint(\"📊 Порівняльна таблиця результатів:\\n\")\nprint(f\"{'Batch Size':\u003C12} | {'Фінал Loss':\u003C12} | {'Фінал Acc':\u003C12} | {'Час\u002FЕпоха':\u003C12} | {'Загал Час':\u003C12}\")\nprint(\"-\" * 72)\n\nfor bs in batch_sizes:\n    final_loss = results[bs]['train_loss'][-1]\n    final_acc = results[bs]['train_acc'][-1]\n    avg_time = sum(results[bs]['epoch_time']) \u002F 10\n    total_time = sum(results[bs]['epoch_time'])\n    \n    print(f\"{bs:\u003C12} | {final_loss:\u003C12.4f} | {final_acc:\u003C12.2f} | \"\n          f\"{avg_time:\u003C12.2f} | {total_time:\u003C12.1f}\")\n",[5308,12556,12557,12562,12577,12635,12651,12655,12665,12679,12692,12708,12721,12725,12763],{"__ignoreMap":5532},[5536,12558,12559],{"class":5538,"line":5539},[5536,12560,12561],{"class":6472},"# Підсумкова таблиця\n",[5536,12563,12564,12566,12568,12571,12573,12575],{"class":5538,"line":5545},[5536,12565,6610],{"class":6592},[5536,12567,6613],{"class":6431},[5536,12569,12570],{"class":6620},"\"📊 Порівняльна таблиця результатів:",[5536,12572,8783],{"class":8782},[5536,12574,8779],{"class":6620},[5536,12576,6485],{"class":6431},[5536,12578,12579,12581,12583,12585,12587,12589,12591,12594,12597,12599,12602,12604,12606,12608,12611,12613,12615,12617,12620,12622,12624,12626,12629,12631,12633],{"class":5538,"line":5551},[5536,12580,6610],{"class":6592},[5536,12582,6613],{"class":6431},[5536,12584,6617],{"class":6616},[5536,12586,8779],{"class":6620},[5536,12588,6624],{"class":6616},[5536,12590,12349],{"class":6620},[5536,12592,12593],{"class":6616},":\u003C12}",[5536,12595,12596],{"class":6620}," | ",[5536,12598,6624],{"class":6616},[5536,12600,12601],{"class":6620},"'Фінал Loss'",[5536,12603,12593],{"class":6616},[5536,12605,12596],{"class":6620},[5536,12607,6624],{"class":6616},[5536,12609,12610],{"class":6620},"'Фінал Acc'",[5536,12612,12593],{"class":6616},[5536,12614,12596],{"class":6620},[5536,12616,6624],{"class":6616},[5536,12618,12619],{"class":6620},"'Час\u002FЕпоха'",[5536,12621,12593],{"class":6616},[5536,12623,12596],{"class":6620},[5536,12625,6624],{"class":6616},[5536,12627,12628],{"class":6620},"'Загал Час'",[5536,12630,12593],{"class":6616},[5536,12632,8779],{"class":6620},[5536,12634,6485],{"class":6431},[5536,12636,12637,12639,12641,12644,12646,12649],{"class":5538,"line":5557},[5536,12638,6610],{"class":6592},[5536,12640,6613],{"class":6431},[5536,12642,12643],{"class":6620},"\"-\"",[5536,12645,10088],{"class":6431},[5536,12647,12648],{"class":6481},"72",[5536,12650,6485],{"class":6431},[5536,12652,12653],{"class":5538,"line":5563},[5536,12654,5567],{"emptyLinePlaceholder":5566},[5536,12656,12657,12659,12661,12663],{"class":5538,"line":5570},[5536,12658,7030],{"class":6427},[5536,12660,11716],{"class":6431},[5536,12662,7036],{"class":6427},[5536,12664,9527],{"class":6431},[5536,12666,12667,12670,12672,12675,12677],{"class":5538,"line":5576},[5536,12668,12669],{"class":6431},"    final_loss = results[bs][",[5536,12671,11546],{"class":6620},[5536,12673,12674],{"class":6431},"][-",[5536,12676,6414],{"class":6481},[5536,12678,7758],{"class":6431},[5536,12680,12681,12684,12686,12688,12690],{"class":5538,"line":5582},[5536,12682,12683],{"class":6431},"    final_acc = results[bs][",[5536,12685,11556],{"class":6620},[5536,12687,12674],{"class":6431},[5536,12689,6414],{"class":6481},[5536,12691,7758],{"class":6431},[5536,12693,12694,12697,12699,12701,12703,12705],{"class":5538,"line":5588},[5536,12695,12696],{"class":6431},"    avg_time = ",[5536,12698,10389],{"class":6592},[5536,12700,12269],{"class":6431},[5536,12702,11567],{"class":6620},[5536,12704,12274],{"class":6431},[5536,12706,12707],{"class":6481},"10\n",[5536,12709,12710,12713,12715,12717,12719],{"class":5538,"line":5593},[5536,12711,12712],{"class":6431},"    total_time = ",[5536,12714,10389],{"class":6592},[5536,12716,12269],{"class":6431},[5536,12718,11567],{"class":6620},[5536,12720,6523],{"class":6431},[5536,12722,12723],{"class":5538,"line":5599},[5536,12724,7603],{"class":6431},[5536,12726,12727,12729,12731,12733,12735,12737,12739,12741,12743,12745,12748,12751,12753,12755,12758,12761],{"class":5538,"line":5604},[5536,12728,9625],{"class":6592},[5536,12730,6613],{"class":6431},[5536,12732,6617],{"class":6616},[5536,12734,8779],{"class":6620},[5536,12736,6624],{"class":6616},[5536,12738,11980],{"class":6431},[5536,12740,12593],{"class":6616},[5536,12742,12596],{"class":6620},[5536,12744,6624],{"class":6616},[5536,12746,12747],{"class":6431},"final_loss",[5536,12749,12750],{"class":6616},":\u003C12.4f}",[5536,12752,12596],{"class":6620},[5536,12754,6624],{"class":6616},[5536,12756,12757],{"class":6431},"final_acc",[5536,12759,12760],{"class":6616},":\u003C12.2f}",[5536,12762,10751],{"class":6620},[5536,12764,12765,12768,12770,12772,12775,12777,12779,12781,12784,12787,12789],{"class":5538,"line":5610},[5536,12766,12767],{"class":6616},"          f",[5536,12769,8779],{"class":6620},[5536,12771,6624],{"class":6616},[5536,12773,12774],{"class":6431},"avg_time",[5536,12776,12760],{"class":6616},[5536,12778,12596],{"class":6620},[5536,12780,6624],{"class":6616},[5536,12782,12783],{"class":6431},"total_time",[5536,12785,12786],{"class":6616},":\u003C12.1f}",[5536,12788,8779],{"class":6620},[5536,12790,6485],{"class":6431},[6692,12792,12793,12798],{"v-slot:output":5532},[5191,12794,8880,12795],{},[5195,12796,12797],{},"Порівняльна таблиця результатів:",[6239,12799,12800,12819],{},[6242,12801,12802],{},[6245,12803,12804,12807,12810,12813,12816],{},[6248,12805,12806],{"align":6250},"Batch Size",[6248,12808,12809],{"align":6250},"Фінал Loss",[6248,12811,12812],{"align":6250},"Фінал Acc (%)",[6248,12814,12815],{"align":6250},"Час\u002FЕпоха (с)",[6248,12817,12818],{"align":6250},"Загал Час (с)",[6262,12820,12821,12841,12861,12879],{},[6245,12822,12823,12827,12830,12835,12838],{},[6267,12824,12825],{"align":6250},[5195,12826,11681],{},[6267,12828,12829],{"align":6250},"0.2456",[6267,12831,12832],{"align":6250},[5195,12833,12834],{},"90.84",[6267,12836,12837],{"align":6250},"51.5",[6267,12839,12840],{"align":6250},"515.0",[6245,12842,12843,12847,12850,12855,12858],{},[6267,12844,12845],{"align":6250},[5195,12846,10043],{},[6267,12848,12849],{"align":6250},"0.2398",[6267,12851,12852],{"align":6250},[5195,12853,12854],{},"91.23",[6267,12856,12857],{"align":6250},"18.2",[6267,12859,12860],{"align":6250},"182.0",[6245,12862,12863,12867,12870,12873,12876],{},[6267,12864,12865],{"align":6250},[5195,12866,11690],{},[6267,12868,12869],{"align":6250},"0.2512",[6267,12871,12872],{"align":6250},"90.68",[6267,12874,12875],{"align":6250},"8.3",[6267,12877,12878],{"align":6250},"83.0",[6245,12880,12881,12885,12888,12891,12894],{},[6267,12882,12883],{"align":6250},[5195,12884,11695],{},[6267,12886,12887],{"align":6250},"0.2745",[6267,12889,12890],{"align":6250},"89.52",[6267,12892,12893],{"align":6250},"4.1",[6267,12895,12896],{"align":6250},"41.0",[5191,12898,5234],{},[5203,12900,12901,12909,12916],{},[5206,12902,12905,12908],{"icon":12903,"title":12904},"i-lucide-trophy","🏆 Переможець за точністю: batch_size=64",[5195,12906,12907],{},"91.23% accuracy"," — найкращий баланс між стабільністю градієнта та регуляризаційним ефектом шуму.",[5206,12910,12912,12915],{"icon":92,"title":12911},"⚡ Переможець за швидкістю: batch_size=1024",[5195,12913,12914],{},"4.1 секунди на епоху"," — у 12.5 разів швидше за batch_size=16, але жертвуючи 1.7% точності.",[5206,12917,12920],{"icon":12918,"title":12919},"i-lucide-scale","⚖️ Золота середина: batch_size=64-256","Оптимальний діапазон для більшості задач: швидко, стабільно, точно.",[5359,12922],{},[5186,12924,12926],{"id":12925},"термінологія-epoch-iteration-batch","Термінологія: Epoch, Iteration, Batch",[5191,12928,12929,12930,12933],{},"Тепер, коли ми розуміємо практичну роботу Mini-batch GD, формалізуймо ключову термінологію. Ці терміни ",[5195,12931,12932],{},"постійно"," вживаються у літературі та коді, тому їх розуміння критичне.",[5203,12935,12936,12954],{},[5206,12937,12939,12945],{"icon":4409,"title":12938},"📦 Batch (Батч)",[5191,12940,12941,12944],{},[5195,12942,12943],{},"Невелика група прикладів",", що обробляється за одну ітерацію. Типовий розмір: 32-256 прикладів.",[5191,12946,12947,12950,12951,5376],{},[5195,12948,12949],{},"Приклад:"," batch із 128 зображень = 128 рядків у тензорі ",[5308,12952,12953],{},"[128, 1, 28, 28]",[5206,12955,12958,12964,12969],{"icon":12956,"title":12957},"i-lucide-repeat","🔄 Iteration (Ітерація)",[5191,12959,12960,12963],{},[5195,12961,12962],{},"Одне оновлення ваг"," після обробки одного батчу.",[5191,12965,12966],{},[5195,12967,12968],{},"Формула:",[5222,12970],{"tex":12971},"\\text{Iterations per epoch} = \\left\\lceil \\frac{N}{\\text{batch\\_size}} \\right\\rceil",[5191,12973,12974,12976,12977,12980],{},[5195,12975,12949],{}," датасет 60 000 прикладів, batch_size=128 → ",[5195,12978,12979],{},"469 ітерацій"," на епоху.",[5191,12982,5234],{},[5206,12984,12987,12993],{"icon":12985,"title":12986},"i-lucide-calendar","📅 Epoch (Епоха)",[5191,12988,12989,12992],{},[5195,12990,12991],{},"Один повний прохід"," через весь тренувальний датасет. Після епохи кожен приклад було побачено рівно один раз.",[5191,12994,12995,12997],{},[5195,12996,12949],{}," якщо навчаємо 10 епох, кожен приклад буде використаний для оновлення ваг 10 разів.",[5191,12999,5234],{},[5378,13001,13003],{"id":13002},"обчислення-метрик","Обчислення метрик",[5191,13005,13006],{},"Розглянемо конкретний приклад обчислень:",[6397,13008,13010],{"title":13009},"epoch_iteration_calculations.ipynb",[6402,13011,13012,13293],{"execution-count":6414},[5527,13013,13015],{"className":6418,"code":13014,"language":6420,"meta":5532,"style":5532},"# Дано\ndataset_size = 50000  # CIFAR-10 train set\nbatch_size = 128\nnum_epochs = 20\n\n# Обчислення\niterations_per_epoch = dataset_size \u002F\u002F batch_size\nif dataset_size % batch_size != 0:\n    iterations_per_epoch += 1  # Додамо неповний батч\n\ntotal_iterations = iterations_per_epoch * num_epochs\n\nprint(\"🔢 Обчислення метрик навчання:\")\nprint(f\"\\n📦 Розмір датасету: {dataset_size:,} прикладів\")\nprint(f\"📦 Розмір батчу: {batch_size}\")\nprint(f\"📅 Кількість епох: {num_epochs}\")\nprint(f\"\\n{'='*50}\")\nprint(f\"🔄 Ітерацій на епоху: {iterations_per_epoch}\")\nprint(f\"🔄 Загальна кількість ітерацій: {total_iterations:,}\")\nprint(f\"📊 Оновлень ваг за все навчання: {total_iterations:,}\")\nprint(f\"🎯 Кожен приклад побачено {num_epochs} разів\")\n",[5308,13016,13017,13022,13033,13041,13049,13053,13058,13063,13075,13085,13089,13094,13098,13109,13135,13156,13178,13206,13228,13250,13271],{"__ignoreMap":5532},[5536,13018,13019],{"class":5538,"line":5539},[5536,13020,13021],{"class":6472},"# Дано\n",[5536,13023,13024,13027,13030],{"class":5538,"line":5545},[5536,13025,13026],{"class":6431},"dataset_size = ",[5536,13028,13029],{"class":6481},"50000",[5536,13031,13032],{"class":6472},"  # CIFAR-10 train set\n",[5536,13034,13035,13038],{"class":5538,"line":5551},[5536,13036,13037],{"class":6431},"batch_size = ",[5536,13039,13040],{"class":6481},"128\n",[5536,13042,13043,13046],{"class":5538,"line":5557},[5536,13044,13045],{"class":6431},"num_epochs = ",[5536,13047,13048],{"class":6481},"20\n",[5536,13050,13051],{"class":5538,"line":5563},[5536,13052,5567],{"emptyLinePlaceholder":5566},[5536,13054,13055],{"class":5538,"line":5570},[5536,13056,13057],{"class":6472},"# Обчислення\n",[5536,13059,13060],{"class":5538,"line":5576},[5536,13061,13062],{"class":6431},"iterations_per_epoch = dataset_size \u002F\u002F batch_size\n",[5536,13064,13065,13068,13071,13073],{"class":5538,"line":5582},[5536,13066,13067],{"class":6427},"if",[5536,13069,13070],{"class":6431}," dataset_size % batch_size != ",[5536,13072,6656],{"class":6481},[5536,13074,7816],{"class":6431},[5536,13076,13077,13080,13082],{"class":5538,"line":5588},[5536,13078,13079],{"class":6431},"    iterations_per_epoch += ",[5536,13081,6414],{"class":6481},[5536,13083,13084],{"class":6472},"  # Додамо неповний батч\n",[5536,13086,13087],{"class":5538,"line":5593},[5536,13088,5567],{"emptyLinePlaceholder":5566},[5536,13090,13091],{"class":5538,"line":5599},[5536,13092,13093],{"class":6431},"total_iterations = iterations_per_epoch * num_epochs\n",[5536,13095,13096],{"class":5538,"line":5604},[5536,13097,5567],{"emptyLinePlaceholder":5566},[5536,13099,13100,13102,13104,13107],{"class":5538,"line":5610},[5536,13101,6610],{"class":6592},[5536,13103,6613],{"class":6431},[5536,13105,13106],{"class":6620},"\"🔢 Обчислення метрик навчання:\"",[5536,13108,6485],{"class":6431},[5536,13110,13111,13113,13115,13117,13119,13121,13124,13126,13129,13131,13133],{"class":5538,"line":5616},[5536,13112,6610],{"class":6592},[5536,13114,6613],{"class":6431},[5536,13116,6617],{"class":6616},[5536,13118,8779],{"class":6620},[5536,13120,8783],{"class":8782},[5536,13122,13123],{"class":6620},"📦 Розмір датасету: ",[5536,13125,6624],{"class":6616},[5536,13127,13128],{"class":6431},"dataset_size",[5536,13130,10405],{"class":6616},[5536,13132,6663],{"class":6620},[5536,13134,6485],{"class":6431},[5536,13136,13137,13139,13141,13143,13146,13148,13150,13152,13154],{"class":5538,"line":5622},[5536,13138,6610],{"class":6592},[5536,13140,6613],{"class":6431},[5536,13142,6617],{"class":6616},[5536,13144,13145],{"class":6620},"\"📦 Розмір батчу: ",[5536,13147,6624],{"class":6616},[5536,13149,7855],{"class":6431},[5536,13151,6632],{"class":6616},[5536,13153,8779],{"class":6620},[5536,13155,6485],{"class":6431},[5536,13157,13158,13160,13162,13164,13167,13169,13172,13174,13176],{"class":5538,"line":5628},[5536,13159,6610],{"class":6592},[5536,13161,6613],{"class":6431},[5536,13163,6617],{"class":6616},[5536,13165,13166],{"class":6620},"\"📅 Кількість епох: ",[5536,13168,6624],{"class":6616},[5536,13170,13171],{"class":6431},"num_epochs",[5536,13173,6632],{"class":6616},[5536,13175,8779],{"class":6620},[5536,13177,6485],{"class":6431},[5536,13179,13180,13182,13184,13186,13188,13190,13192,13195,13198,13200,13202,13204],{"class":5538,"line":5634},[5536,13181,6610],{"class":6592},[5536,13183,6613],{"class":6431},[5536,13185,6617],{"class":6616},[5536,13187,8779],{"class":6620},[5536,13189,8783],{"class":8782},[5536,13191,6624],{"class":6616},[5536,13193,13194],{"class":6620},"'='",[5536,13196,13197],{"class":6431},"*",[5536,13199,7563],{"class":6481},[5536,13201,6632],{"class":6616},[5536,13203,8779],{"class":6620},[5536,13205,6485],{"class":6431},[5536,13207,13208,13210,13212,13214,13217,13219,13222,13224,13226],{"class":5538,"line":5639},[5536,13209,6610],{"class":6592},[5536,13211,6613],{"class":6431},[5536,13213,6617],{"class":6616},[5536,13215,13216],{"class":6620},"\"🔄 Ітерацій на епоху: ",[5536,13218,6624],{"class":6616},[5536,13220,13221],{"class":6431},"iterations_per_epoch",[5536,13223,6632],{"class":6616},[5536,13225,8779],{"class":6620},[5536,13227,6485],{"class":6431},[5536,13229,13230,13232,13234,13236,13239,13241,13244,13246,13248],{"class":5538,"line":5645},[5536,13231,6610],{"class":6592},[5536,13233,6613],{"class":6431},[5536,13235,6617],{"class":6616},[5536,13237,13238],{"class":6620},"\"🔄 Загальна кількість ітерацій: ",[5536,13240,6624],{"class":6616},[5536,13242,13243],{"class":6431},"total_iterations",[5536,13245,10405],{"class":6616},[5536,13247,8779],{"class":6620},[5536,13249,6485],{"class":6431},[5536,13251,13252,13254,13256,13258,13261,13263,13265,13267,13269],{"class":5538,"line":5650},[5536,13253,6610],{"class":6592},[5536,13255,6613],{"class":6431},[5536,13257,6617],{"class":6616},[5536,13259,13260],{"class":6620},"\"📊 Оновлень ваг за все навчання: ",[5536,13262,6624],{"class":6616},[5536,13264,13243],{"class":6431},[5536,13266,10405],{"class":6616},[5536,13268,8779],{"class":6620},[5536,13270,6485],{"class":6431},[5536,13272,13273,13275,13277,13279,13282,13284,13286,13288,13291],{"class":5538,"line":5656},[5536,13274,6610],{"class":6592},[5536,13276,6613],{"class":6431},[5536,13278,6617],{"class":6616},[5536,13280,13281],{"class":6620},"\"🎯 Кожен приклад побачено ",[5536,13283,6624],{"class":6616},[5536,13285,13171],{"class":6431},[5536,13287,6632],{"class":6616},[5536,13289,13290],{"class":6620}," разів\"",[5536,13292,6485],{"class":6431},[6692,13294,13295,13301],{"v-slot:output":5532},[5191,13296,13297,13298],{},"🔢 ",[5195,13299,13300],{},"Обчислення метрик навчання:",[6239,13302,13303,13311],{},[6242,13304,13305],{},[6245,13306,13307,13309],{},[6248,13308,6702],{"align":6250},[6248,13310,6705],{"align":6250},[6262,13312,13313,13321,13328,13335,13347,13357,13367,13376],{},[6245,13314,13315,13318],{},[6267,13316,13317],{"align":6250},"📦 Розмір датасету",[6267,13319,13320],{"align":6250},"50,000 прикладів",[6245,13322,13323,13326],{},[6267,13324,13325],{"align":6250},"📦 Розмір батчу",[6267,13327,9504],{"align":6250},[6245,13329,13330,13333],{},[6267,13331,13332],{"align":6250},"📅 Кількість епох",[6267,13334,8369],{"align":6250},[6245,13336,13337,13342],{},[6267,13338,13339],{"align":6250},[5195,13340,13341],{},"───────────────",[6267,13343,13344],{"align":6250},[5195,13345,13346],{},"─────────────",[6245,13348,13349,13352],{},[6267,13350,13351],{"align":6250},"🔄 Ітерацій на епоху",[6267,13353,13354],{"align":6250},[5195,13355,13356],{},"391",[6245,13358,13359,13362],{},[6267,13360,13361],{"align":6250},"🔄 Загальна кількість ітерацій",[6267,13363,13364],{"align":6250},[5195,13365,13366],{},"7,820",[6245,13368,13369,13372],{},[6267,13370,13371],{"align":6250},"📊 Оновлень ваг",[6267,13373,13374],{"align":6250},[5195,13375,13366],{},[6245,13377,13378,13381],{},[6267,13379,13380],{"align":6250},"🎯 Використань кожного прикладу",[6267,13382,13383],{"align":6250},[5195,13384,13385],{},"20 разів",[5829,13387,13388,13393,13404,13418,13421],{},[5191,13389,13390],{},[5195,13391,13392],{},"Поширена помилка:",[5191,13394,13395,13396,13399,13400,13403],{},"Деякі студенти плутають ",[5195,13397,13398],{},"епоху"," та ",[5195,13401,13402],{},"ітерацію",". Запам'ятайте:",[5295,13405,13406,13412],{},[5298,13407,13408,13411],{},[5195,13409,13410],{},"Епоха"," = весь датасет",[5298,13413,13414,13417],{},[5195,13415,13416],{},"Ітерація"," = один батч",[5191,13419,13420],{},"Для датасету 60 000 і batch_size=100:",[5295,13422,13423,13429],{},[5298,13424,11845,13425,13428],{},[5195,13426,13427],{},"Правильно:"," 600 ітерацій = 1 епоха",[5298,13430,13431,13432,13435],{},"❌ ",[5195,13433,13434],{},"Неправильно:"," 1 ітерація = 1 епоха",[5359,13437],{},[5186,13439,13441],{"id":13440},"висновки-та-практичні-рекомендації","Висновки та практичні рекомендації",[5191,13443,13444],{},"Ми детально розібрали три підходи до градієнтного спуску та навчилися ефективно використовувати PyTorch DataLoader. Підіб'ємо підсумки:",[13446,13447,13448,13515,13558,13658],"accordion",{},[13449,13450,13453,13458,13478,13483],"accordion-item",{"icon":13451,"label":13452},"i-lucide-help-circle","❓ Який batch_size вибрати для нової задачі?",[5191,13454,13455],{},[5195,13456,13457],{},"Загальне правило:",[11036,13459,13460,13466,13472],{},[5298,13461,13462,13465],{},[5195,13463,13464],{},"Починайте з 32-128"," — працює для 90% задач",[5298,13467,13468,13471],{},[5195,13469,13470],{},"Експериментуйте:"," збільшуйте batch_size, поки модель поміщається в GPU пам'ять",[5298,13473,13474,13477],{},[5195,13475,13476],{},"Моніторьте validation loss:"," якщо модель перенавчається, зменшіть batch_size (більший шум = краща регуляризація)",[5191,13479,13480],{},[5195,13481,13482],{},"Специфічні рекомендації:",[5295,13484,13485,13491,13497,13503,13509],{},[5298,13486,13487,13490],{},[5195,13488,13489],{},"Малі зображення (28×28, 32×32):"," 128-512",[5298,13492,13493,13496],{},[5195,13494,13495],{},"Середні зображення (224×224):"," 32-128",[5298,13498,13499,13502],{},[5195,13500,13501],{},"Великі зображення (>512×512):"," 8-32",[5298,13504,13505,13508],{},[5195,13506,13507],{},"NLP (довгі послідовності):"," 16-64",[5298,13510,13511,13514],{},[5195,13512,13513],{},"Tabular data (XGBoost competitor):"," 256-1024",[13449,13516,13518,13532,13545],{"icon":13451,"label":13517},"❓ Чому великий batch_size може погіршити генералізацію?",[5191,13519,13520,13521,13524,13525,5282,13528,13531],{},"Дослідження показали (Keskar et al., 2017), що ",[5195,13522,13523],{},"надто великі батчі"," призводять до конвергенції у ",[5195,13526,13527],{},"вузькі мінімуми",[5284,13529,13530],{},"sharp minima","), які погано генералізуються на нові дані.",[5191,13533,13534,13537,13538,5282,13541,13544],{},[5195,13535,13536],{},"Інтуїція:"," великий batch_size → дуже точний градієнт → модель «впевнено» йде у найближчий мінімум, навіть якщо він вузький. Малий batch_size → шумний градієнт → модель «блукає» та знаходить ",[5195,13539,13540],{},"широкі мінімуми",[5284,13542,13543],{},"flat minima","), які стійкі до збурень.",[5191,13546,13547,13550,13551,13399,13554,13557],{},[5195,13548,13549],{},"Рішення:"," використовувати техніку ",[5195,13552,13553],{},"learning rate warm-up",[5195,13555,13556],{},"збільшення LR пропорційно batch_size"," (правило Гойала: LR × sqrt(batch_size_ratio)).",[13449,13559,13561,13566,13651],{"icon":13451,"label":13560},"❓ Що робити, якщо датасет не поміщається в RAM?",[5191,13562,13563],{},[5195,13564,13565],{},"Три стратегії:",[11036,13567,13568,13639,13645],{},[5298,13569,13570,13573],{},[5195,13571,13572],{},"Кастомний Dataset із ледачим завантаженням:",[5527,13574,13576],{"className":6418,"code":13575,"language":6420,"meta":5532,"style":5532},"class LazyImageDataset(Dataset):\n    def __getitem__(self, idx):\n        # Зчитуємо зображення з диска лише при запиті\n        img = Image.open(self.image_paths[idx])\n        return self.transform(img), self.labels[idx]\n",[5308,13577,13578,13591,13609,13614,13624],{"__ignoreMap":5532},[5536,13579,13580,13582,13585,13587,13589],{"class":5538,"line":5539},[5536,13581,9946],{"class":6616},[5536,13583,13584],{"class":9949}," LazyImageDataset",[5536,13586,6613],{"class":6431},[5536,13588,8998],{"class":9949},[5536,13590,6785],{"class":6431},[5536,13592,13593,13595,13598,13600,13602,13604,13607],{"class":5538,"line":5545},[5536,13594,9967],{"class":6616},[5536,13596,13597],{"class":6592}," __getitem__",[5536,13599,6613],{"class":6431},[5536,13601,9975],{"class":6781},[5536,13603,6552],{"class":6431},[5536,13605,13606],{"class":6781},"idx",[5536,13608,6785],{"class":6431},[5536,13610,13611],{"class":5538,"line":5551},[5536,13612,13613],{"class":6472},"        # Зчитуємо зображення з диска лише при запиті\n",[5536,13615,13616,13619,13621],{"class":5538,"line":5557},[5536,13617,13618],{"class":6431},"        img = Image.open(",[5536,13620,9975],{"class":6616},[5536,13622,13623],{"class":6431},".image_paths[idx])\n",[5536,13625,13626,13628,13631,13634,13636],{"class":5538,"line":5563},[5536,13627,10241],{"class":6427},[5536,13629,13630],{"class":6616}," self",[5536,13632,13633],{"class":6431},".transform(img), ",[5536,13635,9975],{"class":6616},[5536,13637,13638],{"class":6431},".labels[idx]\n",[5298,13640,13641,13644],{},[5195,13642,13643],{},"Використання HDF5\u002FZarr:"," зберігати дані у форматі, оптимізованому для швидкого доступу по індексах",[5298,13646,13647,13650],{},[5195,13648,13649],{},"Стримінг з хмари:"," AWS S3, Google Cloud Storage + streaming DataLoader",[5191,13652,13653],{},[5195,13654,13655,13656,5476],{},"PyTorch підтримує всі ці підходи через абстракцію ",[5308,13657,8998],{},[13449,13659,13661,13666,13703],{"icon":13451,"label":13660},"❓ Як прискорити завантаження даних?",[5191,13662,13663],{},[5195,13664,13665],{},"Оптимізації:",[11036,13667,13668,13676,13685,13691,13697],{},[5298,13669,13670,13675],{},[5195,13671,13672,13673],{},"Збільшити ",[5308,13674,9068],{}," (2-8 оптимально)",[5298,13677,13678,13684],{},[5195,13679,13680,13681],{},"Використати ",[5308,13682,13683],{},"pin_memory=True"," (прискорює копіювання CPU → GPU)",[5298,13686,13687,13690],{},[5195,13688,13689],{},"Кешувати трансформації"," (якщо augmentation повільна)",[5298,13692,13693,13696],{},[5195,13694,13695],{},"Зберігати дані на SSD",", а не HDD (10x різниця швидкості)",[5298,13698,13699,13702],{},[5195,13700,13701],{},"Попередньо обробити дані:"," конвертувати всі зображення у .npy масиви замість .jpg (уникнути декодування)",[5191,13704,13705,13708,13709,13712],{},[5195,13706,13707],{},"Профілювання:"," використайте ",[5308,13710,13711],{},"torch.utils.bottleneck"," для визначення вузьких місць.",[5997,13714,13715,13720],{},[5191,13716,13717],{},[5195,13718,13719],{},"Золоте правило batch_size:",[5191,13721,13722,13723,13726],{},"Якщо GPU utilization \u003C 70% (перевіряйте через ",[5308,13724,13725],{},"nvidia-smi","), збільшуйте batch_size. Якщо GPU memory overflow — зменшуйте. Збалансований batch_size завантажує GPU на 80-95%.",[5359,13728],{},[5191,13730,13731,13732,13735],{},"У наступній статті ми розглянемо ",[5195,13733,13734],{},"ініціалізацію ваг"," — чому правильний початок навчання критичний для конвергенції глибоких мереж.",[13737,13738,13739],"style",{},"html .light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html.light .shiki span {color: var(--shiki-light);background: var(--shiki-light-bg);font-style: var(--shiki-light-font-style);font-weight: var(--shiki-light-font-weight);text-decoration: var(--shiki-light-text-decoration);}html .default .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .shiki span {color: var(--shiki-default);background: var(--shiki-default-bg);font-style: var(--shiki-default-font-style);font-weight: var(--shiki-default-font-weight);text-decoration: var(--shiki-default-text-decoration);}html .dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html.dark .shiki span {color: var(--shiki-dark);background: var(--shiki-dark-bg);font-style: var(--shiki-dark-font-style);font-weight: var(--shiki-dark-font-weight);text-decoration: var(--shiki-dark-text-decoration);}html pre.shiki code .s8xlr, html code.shiki .s8xlr{--shiki-light:#AF00DB;--shiki-default:#C586C0;--shiki-dark:#C586C0}html pre.shiki code .sHH4Y, html code.shiki .sHH4Y{--shiki-light:#000000;--shiki-default:#D4D4D4;--shiki-dark:#D4D4D4}html pre.shiki code .spJ8K, html code.shiki .spJ8K{--shiki-light:#008000;--shiki-default:#6A9955;--shiki-dark:#6A9955}html pre.shiki code .sJj4R, html code.shiki .sJj4R{--shiki-light:#098658;--shiki-default:#B5CEA8;--shiki-dark:#B5CEA8}html pre.shiki code .s8Opu, html code.shiki .s8Opu{--shiki-light:#795E26;--shiki-default:#DCDCAA;--shiki-dark:#DCDCAA}html pre.shiki code .su1O8, html code.shiki .su1O8{--shiki-light:#0000FF;--shiki-default:#569CD6;--shiki-dark:#569CD6}html pre.shiki code .sbdoH, html code.shiki .sbdoH{--shiki-light:#A31515;--shiki-default:#CE9178;--shiki-dark:#CE9178}html pre.shiki code .siwwj, html code.shiki .siwwj{--shiki-light:#001080;--shiki-default:#9CDCFE;--shiki-dark:#9CDCFE}html pre.shiki code .sjcCO, html code.shiki .sjcCO{--shiki-light:#EE0000;--shiki-default:#D7BA7D;--shiki-dark:#D7BA7D}html pre.shiki code .sN1BT, html code.shiki .sN1BT{--shiki-light:#267F99;--shiki-default:#4EC9B0;--shiki-dark:#4EC9B0}",{"title":5532,"searchDepth":5545,"depth":5545,"links":13741},[13742,13743,13747,13765,13768,13772,13775,13778],{"id":5188,"depth":5545,"text":5189},{"id":5363,"depth":5545,"text":5364,"children":13744},[13745,13746],{"id":5380,"depth":5551,"text":5381},{"id":5420,"depth":5551,"text":5421},{"id":5503,"depth":5545,"text":5504,"children":13748},[13749,13750,13751,13752,13753,13754,13755,13756,13757,13758,13759,13760,13761,13762,13763,13764],{"id":5510,"depth":5551,"text":5511},{"id":5722,"depth":5551,"text":5723},{"id":5735,"depth":5551,"text":5736},{"id":5745,"depth":5551,"text":5746},{"id":5752,"depth":5551,"text":5753},{"id":5759,"depth":5551,"text":5760},{"id":5766,"depth":5551,"text":5767},{"id":5847,"depth":5551,"text":5848},{"id":5884,"depth":5551,"text":5885},{"id":5891,"depth":5551,"text":5892},{"id":5901,"depth":5551,"text":5902},{"id":5907,"depth":5551,"text":5908},{"id":5914,"depth":5551,"text":5915},{"id":5921,"depth":5551,"text":5922},{"id":5928,"depth":5551,"text":5929},{"id":6011,"depth":5551,"text":6012},{"id":6391,"depth":5545,"text":6392,"children":13766},[13767],{"id":7517,"depth":5551,"text":7518},{"id":8978,"depth":5545,"text":8979,"children":13769},[13770,13771],{"id":8989,"depth":5551,"text":8990},{"id":9897,"depth":5551,"text":9898},{"id":11089,"depth":5545,"text":11090,"children":13773},[13774],{"id":12548,"depth":5551,"text":12549},{"id":12925,"depth":5545,"text":12926,"children":13776},[13777],{"id":13002,"depth":5551,"text":13003},{"id":13440,"depth":5545,"text":13441},"Від теоретичного градієнтного спуску до практичної роботи з великими датасетами. Розуміння batch, mini-batch та stochastic підходів, оптимізація через DataLoader та вплив розміру батчу на навчання.","md",null,{},{"title":3956,"description":13779},"RelACWeCdYrCRH8Mr8Xcr6_GXqA7nuBniGYjD7ESZNY",[13786,13788],{"title":3947,"path":3948,"stem":3949,"description":13787,"children":-1},"Використання pre-trained моделей для прискорення навчання. Feature Extraction vs Fine-Tuning. Візуалізація Feature Maps, фільтрів та важливих областей зображень через Grad-CAM.",{"title":3960,"path":3961,"stem":3962,"description":13789,"children":-1},"Чому нульова ініціалізація не працює, математика Xavier та He ініціалізації, практичне застосування у PyTorch та експериментальне порівняння методів на глибоких мережах.",1791986835783]