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C#","\u002Fcsharp\u002Fadvanced-core\u002Fadditional-features","01.csharp\u002F03.advanced-core\u002F06.additional-features",{"title":121,"icon":122,"path":123,"stem":124,"children":125,"page":59},"Architecture Best Practices","i-lucide-building-2","\u002Fcsharp\u002Farchitecture-best-practices","01.csharp\u002F04.architecture-best-practices",[126,130,149,153,157,161,165,169],{"title":127,"path":128,"stem":129},"Software Design Principles (Частина 1)","\u002Fcsharp\u002Farchitecture-best-practices\u002Fsoftware-design-principles","01.csharp\u002F04.architecture-best-practices\u002F01.software-design-principles",{"title":131,"icon":132,"path":133,"stem":134,"children":135,"page":59},"Design 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Програмування","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-fundamentals","01.csharp\u002F07.system-programming-windows\u002F12.async-fundamentals",{"title":344,"path":345,"stem":346},"SynchronizationContext та ConfigureAwait — Контекст Виконання","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-context-configureawait","01.csharp\u002F07.system-programming-windows\u002F13.async-context-configureawait",{"title":348,"path":349,"stem":350},"Async — Просунуті Паттерни","\u002Fcsharp\u002Fsystem-programming-windows\u002Fasync-advanced","01.csharp\u002F07.system-programming-windows\u002F14.async-advanced",{"title":352,"path":353,"stem":354},"System.Threading.Channels — Async Producer-Consumer","\u002Fcsharp\u002Fsystem-programming-windows\u002Fchannels","01.csharp\u002F07.system-programming-windows\u002F15.channels",{"title":356,"path":357,"stem":358},"Асинхронна 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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":3844,"body":5182,"description":12261,"extension":12262,"links":12263,"meta":12264,"navigation":5579,"path":3845,"seo":12265,"stem":3846,"__hash__":12266},"docs\u002F16.ai-python\u002F08.polynomial-regression\u002F02.regularization-methods.md",{"type":5183,"value":5184,"toc":12231},"minimark",[5185,5190,5207,5213,5223,5248,5251,5255,5262,5265,5269,5281,5292,5295,5298,5328,5349,5356,5365,5373,5375,5379,5388,5393,5396,5410,5413,5440,5452,5456,6686,6689,6730,6741,6745,6792,6794,6798,6807,6810,6813,6821,6824,6858,6873,6877,7722,7725,7752,7759,7770,7772,7776,7862,7866,7869,7889,7896,7898,7902,7908,7912,8473,8475,8495,8497,8501,8510,8857,8867,8869,8873,8880,8883,8893,8913,8920,8974,8977,8979,8983,8986,8990,8993,10042,10048,10058,10062,10065,11243,11252,11261,11265,11802,11826,11837,11839,11843,12100,12102,12106,12214,12216,12227],[5186,5187,5189],"h2",{"id":5188},"як-приборкати-перенавчання","Як приборкати перенавчання?",[5191,5192,5193,5194,5198,5199,5202,5203,5206],"p",{},"У попередній статті ми зіткнулись із проблемою: поліном ступеня 15 показував ",[5195,5196,5197],"strong",{},"відмінний"," R² = 0.99 на тренувальних даних, але ",[5195,5200,5201],{},"погано працював"," на тестових (R² = 0.86). Крива мала дикі вигини між точками — модель ",[5195,5204,5205],{},"запам'ятала шум"," замість справжньої закономірності.",[5191,5208,5209,5212],{},[5195,5210,5211],{},"Питання:"," Чи можна використати високий ступінь полінома, але уникнути перенавчання?",[5191,5214,5215,5218,5219,5222],{},[5195,5216,5217],{},"Відповідь:"," Так, через ",[5195,5220,5221],{},"регуляризацію"," (regularization).",[5224,5225,5226],"blockquote",{},[5191,5227,5228,5231,5232,5235,5236,5239,5240,5243,5244,5247],{},[5195,5229,5230],{},"Аналогія:"," Уявіть, що ви навчаєте студента розв'язувати математичні задачі. Якщо дати йому ",[5195,5233,5234],{},"необмежений доступ"," до калькулятора, шпаргалок та інтернету, він може отримати відмінні оцінки на домашніх завданнях (train), але ",[5195,5237,5238],{},"провалить іспит"," (test). Регуляризація — це ",[5195,5241,5242],{},"обмеження ресурсів",", яке змушує модель вчитись ",[5195,5245,5246],{},"загальним принципам",", а не запам'ятовувати деталі.",[5249,5250],"hr",{},[5186,5252,5254],{"id":5253},"принцип-регуляризації","Принцип регуляризації",[5191,5256,5257,5258,5261],{},"Ключова ідея регуляризації: ",[5195,5259,5260],{},"додати штраф за складність моделі"," до функції втрат.",[5191,5263,5264],{},"Згадаємо стандартну функцію втрат для лінійної регресії (Mean Squared Error):",[5266,5267],"math-formula",{"tex":5268},"\\text{MSE} = \\frac{1}{n} \\sum_{i=1}^{n} (y_i - \\hat{y}_i)^2",[5191,5270,5271,5272,5275,5276,5280],{},"Під час навчання модель намагається ",[5195,5273,5274],{},"мінімізувати"," цю функцію, підбираючи оптимальні ваги ",[5266,5277],{"tex":5278,":inline":5279},"w_0, w_1, \\ldots, w_n","true",".",[5191,5282,5283,5284,5287,5288,5291],{},"При регуляризації ми ",[5195,5285,5286],{},"змінюємо цільову функцію",", додаючи ",[5195,5289,5290],{},"штраф за великі значення ваг",":",[5266,5293],{"tex":5294},"\\text{Loss} = \\text{MSE} + \\alpha \\cdot \\text{Penalty}(w)",[5191,5296,5297],{},"Де:",[5299,5300,5301,5308,5314],"ul",{},[5302,5303,5304,5307],"li",{},[5266,5305],{"tex":5306,":inline":5279},"\\text{MSE}"," — помилка моделі на даних (як раніше)",[5302,5309,5310,5313],{},[5266,5311],{"tex":5312,":inline":5279},"\\text{Penalty}(w)"," — штраф за величину коефіцієнтів",[5302,5315,5316,5319,5320,5323,5324,5327],{},[5266,5317],{"tex":5318,":inline":5279},"\\alpha"," (",[5195,5321,5322],{},"alpha",") — ",[5195,5325,5326],{},"гіперпараметр",", що контролює силу регуляризації",[5224,5329,5330,5340],{},[5191,5331,5332,5335,5336,5339],{},[5195,5333,5334],{},"Що це означає?"," Модель тепер має ",[5195,5337,5338],{},"балансувати"," між двома цілями:",[5341,5342,5343,5346],"ol",{},[5302,5344,5345],{},"Зменшити помилку на даних (перший доданок)",[5302,5347,5348],{},"Зменшити величину ваг (другий доданок)",[5191,5350,5351,5352,5355],{},"Якщо ",[5266,5353],{"tex":5354,":inline":5279},"\\alpha = 0",", регуляризація відсутня — ми отримуємо звичайну лінійну регресію.",[5191,5357,5351,5358,5360,5361,5364],{},[5266,5359],{"tex":5318,":inline":5279}," велике, модель буде ",[5195,5362,5363],{},"економити"," великі ваги, обираючи лише найважливіші закономірності.",[5366,5367,5368,5369,5372],"note",{},"Регуляризація ",[5195,5370,5371],{},"не змінює архітектуру моделі"," — це лише зміна функції втрат. Ми досі використовуємо лінійну регресію!",[5249,5374],{},[5186,5376,5378],{"id":5377},"ridge-регресія-l2-регуляризація","Ridge регресія (L2-регуляризація)",[5191,5380,5381,5384,5385,5280],{},[5195,5382,5383],{},"Ridge регресія"," (гребенева регресія) — це лінійна регресія з ",[5195,5386,5387],{},"L2-регуляризацією",[5389,5390,5392],"h3",{"id":5391},"формула-функції-втрат","Формула функції втрат",[5266,5394],{"tex":5395},"\\text{Loss}_{\\text{Ridge}} = \\text{MSE} + \\alpha \\cdot \\sum_{j=1}^{p} w_j^2",[5191,5397,5398,5401,5402,5405,5406,5409],{},[5195,5399,5400],{},"Штраф"," = сума ",[5195,5403,5404],{},"квадратів"," усіх ваг (окрім вільного члена ",[5266,5407],{"tex":5408,":inline":5279},"w_0",").",[5389,5411,5334],{"id":5412},"що-це-означає",[5299,5414,5415,5422,5429],{},[5302,5416,5417,5418,5421],{},"Модель ",[5195,5419,5420],{},"карається"," за великі значення ваг",[5302,5423,5424,5425,5428],{},"Штраф за квадрат ваги означає: чим більша вага, тим ",[5195,5426,5427],{},"експоненційно дорожче"," її збільшувати",[5302,5430,5431,5432,5435,5436,5439],{},"Ridge ",[5195,5433,5434],{},"зменшує"," всі ваги, але ",[5195,5437,5438],{},"ніколи не обнулює"," їх повністю (навіть дуже маленькі ваги залишаються ненульовими)",[5224,5441,5442],{},[5191,5443,5444,5447,5448,5451],{},[5195,5445,5446],{},"Аналогія з бюджетом:"," Уявіть, що модель — це компанія з обмеженим бюджетом. Кожна ознака (вага) — це працівник, якому потрібна зарплата. Ridge каже: «Ви можете найняти всіх працівників, але ",[5195,5449,5450],{},"великі зарплати коштують дорого",". Тому платіть помірно всім, а не надмірно кільком обраним».",[5389,5453,5455],{"id":5454},"візуалізація-впливу-ridge","Візуалізація впливу Ridge",[5457,5458,5461],"jupyter-notebook",{"kernel":5459,"title":5460},"Python 3.11 (ipykernel)","ridge_example.ipynb",[5462,5463,5466,6547],"jupyter-cell",{"execution-count":5464,"execution-time":5465},"1","0.22s",[5467,5468,5473],"pre",{"className":5469,"code":5470,"language":5471,"meta":5472,"style":5472},"language-python shiki shiki-themes light-plus dark-plus dark-plus","import numpy as np\nimport matplotlib.pyplot as plt\nfrom sklearn.linear_model import Ridge, LinearRegression\nfrom sklearn.preprocessing import PolynomialFeatures, StandardScaler\nfrom sklearn.pipeline import Pipeline\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.metrics import r2_score\n\n# Генеруємо дані (квадратична залежність + шум)\nrng = np.random.default_rng(42)\nX = np.linspace(0, 10, 100).reshape(-1, 1)\ny = 30 + 5*X.ravel() + 2*X.ravel()**2 + rng.normal(0, 10, 100)\n\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n\n# Побудова моделей з різними alpha\nalphas = [0, 0.1, 1, 10, 100]\nresults = {}\n\nplt.figure(figsize=(15, 10))\n\nfor i, alpha in enumerate(alphas, 1):\n    if alpha == 0:\n        model = Pipeline([\n            ('poly', PolynomialFeatures(degree=10)),\n            ('scaler', StandardScaler()),\n            ('regressor', LinearRegression())\n        ])\n        label = 'LinearRegression (без регуляризації)'\n    else:\n        model = Pipeline([\n            ('poly', PolynomialFeatures(degree=10)),\n            ('scaler', StandardScaler()),\n            ('regressor', Ridge(alpha=alpha))\n        ])\n        label = f'Ridge (alpha={alpha})'\n    \n    model.fit(X_train, y_train)\n    \n    r2_train = model.score(X_train, y_train)\n    r2_test = model.score(X_test, y_test)\n    results[alpha] = {'R² train': r2_train, 'R² test': r2_test}\n    \n    # Візуалізація\n    X_line = np.linspace(0, 10, 300).reshape(-1, 1)\n    y_line = model.predict(X_line)\n    \n    plt.subplot(2, 3, i)\n    plt.scatter(X_train, y_train, alpha=0.5, s=30, label='Train', edgecolors='k', linewidths=0.5)\n    plt.scatter(X_test, y_test, alpha=0.5, s=30, color='orange', label='Test', edgecolors='k', linewidths=0.5)\n    plt.plot(X_line, y_line, color='red', linewidth=2.5)\n    plt.xlabel('X', fontsize=11)\n    plt.ylabel('y', fontsize=11)\n    plt.title(f'{label}\\nR² train={r2_train:.3f}, test={r2_test:.3f}', fontsize=10, fontweight='bold')\n    plt.legend(fontsize=9)\n    plt.grid(alpha=0.3)\n    plt.ylim(0, 250)\n\nplt.tight_layout()\nplt.show()\n\nprint(\"\\nПорівняльна таблиця:\")\nprint(f\"{'Alpha':\u003C10} {'R² train':\u003C12} {'R² test':\u003C12} {'Різниця':\u003C10}\")\nprint(\"-\" * 50)\nfor alpha, metrics in results.items():\n    diff = metrics['R² train'] - metrics['R² test']\n    print(f\"{alpha:\u003C10} {metrics['R² train']:\u003C12.4f} {metrics['R² test']:\u003C12.4f} {diff:\u003C10.4f}\")\n","python","",[5474,5475,5476,5495,5508,5522,5535,5548,5561,5574,5581,5588,5601,5632,5673,5678,5705,5710,5716,5744,5750,5755,5777,5782,5806,5820,5826,5849,5860,5871,5877,5886,5894,5899,5916,5925,5940,5945,5968,5974,5980,5985,5991,5997,6015,6020,6026,6053,6059,6064,6080,6133,6190,6215,6236,6255,6319,6334,6348,6363,6368,6374,6380,6385,6404,6448,6466,6479,6494],"code",{"__ignoreMap":5472},[5477,5478,5481,5485,5489,5492],"span",{"class":5479,"line":5480},"line",1,[5477,5482,5484],{"class":5483},"s8xlr","import",[5477,5486,5488],{"class":5487},"sHH4Y"," numpy ",[5477,5490,5491],{"class":5483},"as",[5477,5493,5494],{"class":5487}," np\n",[5477,5496,5498,5500,5503,5505],{"class":5479,"line":5497},2,[5477,5499,5484],{"class":5483},[5477,5501,5502],{"class":5487}," matplotlib.pyplot ",[5477,5504,5491],{"class":5483},[5477,5506,5507],{"class":5487}," plt\n",[5477,5509,5511,5514,5517,5519],{"class":5479,"line":5510},3,[5477,5512,5513],{"class":5483},"from",[5477,5515,5516],{"class":5487}," sklearn.linear_model ",[5477,5518,5484],{"class":5483},[5477,5520,5521],{"class":5487}," Ridge, LinearRegression\n",[5477,5523,5525,5527,5530,5532],{"class":5479,"line":5524},4,[5477,5526,5513],{"class":5483},[5477,5528,5529],{"class":5487}," sklearn.preprocessing ",[5477,5531,5484],{"class":5483},[5477,5533,5534],{"class":5487}," PolynomialFeatures, StandardScaler\n",[5477,5536,5538,5540,5543,5545],{"class":5479,"line":5537},5,[5477,5539,5513],{"class":5483},[5477,5541,5542],{"class":5487}," sklearn.pipeline ",[5477,5544,5484],{"class":5483},[5477,5546,5547],{"class":5487}," Pipeline\n",[5477,5549,5551,5553,5556,5558],{"class":5479,"line":5550},6,[5477,5552,5513],{"class":5483},[5477,5554,5555],{"class":5487}," sklearn.model_selection ",[5477,5557,5484],{"class":5483},[5477,5559,5560],{"class":5487}," train_test_split\n",[5477,5562,5564,5566,5569,5571],{"class":5479,"line":5563},7,[5477,5565,5513],{"class":5483},[5477,5567,5568],{"class":5487}," sklearn.metrics ",[5477,5570,5484],{"class":5483},[5477,5572,5573],{"class":5487}," r2_score\n",[5477,5575,5577],{"class":5479,"line":5576},8,[5477,5578,5580],{"emptyLinePlaceholder":5579},true,"\n",[5477,5582,5584],{"class":5479,"line":5583},9,[5477,5585,5587],{"class":5586},"spJ8K","# Генеруємо дані (квадратична залежність + шум)\n",[5477,5589,5591,5594,5598],{"class":5479,"line":5590},10,[5477,5592,5593],{"class":5487},"rng = np.random.default_rng(",[5477,5595,5597],{"class":5596},"sJj4R","42",[5477,5599,5600],{"class":5487},")\n",[5477,5602,5604,5607,5610,5613,5616,5618,5621,5624,5626,5628,5630],{"class":5479,"line":5603},11,[5477,5605,5606],{"class":5487},"X = np.linspace(",[5477,5608,5609],{"class":5596},"0",[5477,5611,5612],{"class":5487},", ",[5477,5614,5615],{"class":5596},"10",[5477,5617,5612],{"class":5487},[5477,5619,5620],{"class":5596},"100",[5477,5622,5623],{"class":5487},").reshape(-",[5477,5625,5464],{"class":5596},[5477,5627,5612],{"class":5487},[5477,5629,5464],{"class":5596},[5477,5631,5600],{"class":5487},[5477,5633,5635,5638,5641,5644,5647,5650,5653,5656,5658,5661,5663,5665,5667,5669,5671],{"class":5479,"line":5634},12,[5477,5636,5637],{"class":5487},"y = ",[5477,5639,5640],{"class":5596},"30",[5477,5642,5643],{"class":5487}," + ",[5477,5645,5646],{"class":5596},"5",[5477,5648,5649],{"class":5487},"*X.ravel() + ",[5477,5651,5652],{"class":5596},"2",[5477,5654,5655],{"class":5487},"*X.ravel()**",[5477,5657,5652],{"class":5596},[5477,5659,5660],{"class":5487}," + rng.normal(",[5477,5662,5609],{"class":5596},[5477,5664,5612],{"class":5487},[5477,5666,5615],{"class":5596},[5477,5668,5612],{"class":5487},[5477,5670,5620],{"class":5596},[5477,5672,5600],{"class":5487},[5477,5674,5676],{"class":5479,"line":5675},13,[5477,5677,5580],{"emptyLinePlaceholder":5579},[5477,5679,5681,5684,5688,5691,5694,5696,5699,5701,5703],{"class":5479,"line":5680},14,[5477,5682,5683],{"class":5487},"X_train, X_test, y_train, y_test = train_test_split(X, y, ",[5477,5685,5687],{"class":5686},"siwwj","test_size",[5477,5689,5690],{"class":5487},"=",[5477,5692,5693],{"class":5596},"0.3",[5477,5695,5612],{"class":5487},[5477,5697,5698],{"class":5686},"random_state",[5477,5700,5690],{"class":5487},[5477,5702,5597],{"class":5596},[5477,5704,5600],{"class":5487},[5477,5706,5708],{"class":5479,"line":5707},15,[5477,5709,5580],{"emptyLinePlaceholder":5579},[5477,5711,5713],{"class":5479,"line":5712},16,[5477,5714,5715],{"class":5586},"# Побудова моделей з різними alpha\n",[5477,5717,5719,5722,5724,5726,5729,5731,5733,5735,5737,5739,5741],{"class":5479,"line":5718},17,[5477,5720,5721],{"class":5487},"alphas = [",[5477,5723,5609],{"class":5596},[5477,5725,5612],{"class":5487},[5477,5727,5728],{"class":5596},"0.1",[5477,5730,5612],{"class":5487},[5477,5732,5464],{"class":5596},[5477,5734,5612],{"class":5487},[5477,5736,5615],{"class":5596},[5477,5738,5612],{"class":5487},[5477,5740,5620],{"class":5596},[5477,5742,5743],{"class":5487},"]\n",[5477,5745,5747],{"class":5479,"line":5746},18,[5477,5748,5749],{"class":5487},"results = {}\n",[5477,5751,5753],{"class":5479,"line":5752},19,[5477,5754,5580],{"emptyLinePlaceholder":5579},[5477,5756,5758,5761,5764,5767,5770,5772,5774],{"class":5479,"line":5757},20,[5477,5759,5760],{"class":5487},"plt.figure(",[5477,5762,5763],{"class":5686},"figsize",[5477,5765,5766],{"class":5487},"=(",[5477,5768,5769],{"class":5596},"15",[5477,5771,5612],{"class":5487},[5477,5773,5615],{"class":5596},[5477,5775,5776],{"class":5487},"))\n",[5477,5778,5780],{"class":5479,"line":5779},21,[5477,5781,5580],{"emptyLinePlaceholder":5579},[5477,5783,5785,5788,5791,5794,5798,5801,5803],{"class":5479,"line":5784},22,[5477,5786,5787],{"class":5483},"for",[5477,5789,5790],{"class":5487}," i, alpha ",[5477,5792,5793],{"class":5483},"in",[5477,5795,5797],{"class":5796},"s8Opu"," enumerate",[5477,5799,5800],{"class":5487},"(alphas, ",[5477,5802,5464],{"class":5596},[5477,5804,5805],{"class":5487},"):\n",[5477,5807,5809,5812,5815,5817],{"class":5479,"line":5808},23,[5477,5810,5811],{"class":5483},"    if",[5477,5813,5814],{"class":5487}," alpha == ",[5477,5816,5609],{"class":5596},[5477,5818,5819],{"class":5487},":\n",[5477,5821,5823],{"class":5479,"line":5822},24,[5477,5824,5825],{"class":5487},"        model = Pipeline([\n",[5477,5827,5829,5832,5836,5839,5842,5844,5846],{"class":5479,"line":5828},25,[5477,5830,5831],{"class":5487},"            (",[5477,5833,5835],{"class":5834},"sbdoH","'poly'",[5477,5837,5838],{"class":5487},", PolynomialFeatures(",[5477,5840,5841],{"class":5686},"degree",[5477,5843,5690],{"class":5487},[5477,5845,5615],{"class":5596},[5477,5847,5848],{"class":5487},")),\n",[5477,5850,5852,5854,5857],{"class":5479,"line":5851},26,[5477,5853,5831],{"class":5487},[5477,5855,5856],{"class":5834},"'scaler'",[5477,5858,5859],{"class":5487},", StandardScaler()),\n",[5477,5861,5863,5865,5868],{"class":5479,"line":5862},27,[5477,5864,5831],{"class":5487},[5477,5866,5867],{"class":5834},"'regressor'",[5477,5869,5870],{"class":5487},", LinearRegression())\n",[5477,5872,5874],{"class":5479,"line":5873},28,[5477,5875,5876],{"class":5487},"        ])\n",[5477,5878,5880,5883],{"class":5479,"line":5879},29,[5477,5881,5882],{"class":5487},"        label = ",[5477,5884,5885],{"class":5834},"'LinearRegression (без регуляризації)'\n",[5477,5887,5889,5892],{"class":5479,"line":5888},30,[5477,5890,5891],{"class":5483},"    else",[5477,5893,5819],{"class":5487},[5477,5895,5897],{"class":5479,"line":5896},31,[5477,5898,5825],{"class":5487},[5477,5900,5902,5904,5906,5908,5910,5912,5914],{"class":5479,"line":5901},32,[5477,5903,5831],{"class":5487},[5477,5905,5835],{"class":5834},[5477,5907,5838],{"class":5487},[5477,5909,5841],{"class":5686},[5477,5911,5690],{"class":5487},[5477,5913,5615],{"class":5596},[5477,5915,5848],{"class":5487},[5477,5917,5919,5921,5923],{"class":5479,"line":5918},33,[5477,5920,5831],{"class":5487},[5477,5922,5856],{"class":5834},[5477,5924,5859],{"class":5487},[5477,5926,5928,5930,5932,5935,5937],{"class":5479,"line":5927},34,[5477,5929,5831],{"class":5487},[5477,5931,5867],{"class":5834},[5477,5933,5934],{"class":5487},", Ridge(",[5477,5936,5322],{"class":5686},[5477,5938,5939],{"class":5487},"=alpha))\n",[5477,5941,5943],{"class":5479,"line":5942},35,[5477,5944,5876],{"class":5487},[5477,5946,5948,5950,5954,5957,5960,5962,5965],{"class":5479,"line":5947},36,[5477,5949,5882],{"class":5487},[5477,5951,5953],{"class":5952},"su1O8","f",[5477,5955,5956],{"class":5834},"'Ridge (alpha=",[5477,5958,5959],{"class":5952},"{",[5477,5961,5322],{"class":5487},[5477,5963,5964],{"class":5952},"}",[5477,5966,5967],{"class":5834},")'\n",[5477,5969,5971],{"class":5479,"line":5970},37,[5477,5972,5973],{"class":5487},"    \n",[5477,5975,5977],{"class":5479,"line":5976},38,[5477,5978,5979],{"class":5487},"    model.fit(X_train, y_train)\n",[5477,5981,5983],{"class":5479,"line":5982},39,[5477,5984,5973],{"class":5487},[5477,5986,5988],{"class":5479,"line":5987},40,[5477,5989,5990],{"class":5487},"    r2_train = model.score(X_train, y_train)\n",[5477,5992,5994],{"class":5479,"line":5993},41,[5477,5995,5996],{"class":5487},"    r2_test = model.score(X_test, y_test)\n",[5477,5998,6000,6003,6006,6009,6012],{"class":5479,"line":5999},42,[5477,6001,6002],{"class":5487},"    results[alpha] = {",[5477,6004,6005],{"class":5834},"'R² train'",[5477,6007,6008],{"class":5487},": r2_train, ",[5477,6010,6011],{"class":5834},"'R² test'",[5477,6013,6014],{"class":5487},": r2_test}\n",[5477,6016,6018],{"class":5479,"line":6017},43,[5477,6019,5973],{"class":5487},[5477,6021,6023],{"class":5479,"line":6022},44,[5477,6024,6025],{"class":5586},"    # Візуалізація\n",[5477,6027,6029,6032,6034,6036,6038,6040,6043,6045,6047,6049,6051],{"class":5479,"line":6028},45,[5477,6030,6031],{"class":5487},"    X_line = np.linspace(",[5477,6033,5609],{"class":5596},[5477,6035,5612],{"class":5487},[5477,6037,5615],{"class":5596},[5477,6039,5612],{"class":5487},[5477,6041,6042],{"class":5596},"300",[5477,6044,5623],{"class":5487},[5477,6046,5464],{"class":5596},[5477,6048,5612],{"class":5487},[5477,6050,5464],{"class":5596},[5477,6052,5600],{"class":5487},[5477,6054,6056],{"class":5479,"line":6055},46,[5477,6057,6058],{"class":5487},"    y_line = model.predict(X_line)\n",[5477,6060,6062],{"class":5479,"line":6061},47,[5477,6063,5973],{"class":5487},[5477,6065,6067,6070,6072,6074,6077],{"class":5479,"line":6066},48,[5477,6068,6069],{"class":5487},"    plt.subplot(",[5477,6071,5652],{"class":5596},[5477,6073,5612],{"class":5487},[5477,6075,6076],{"class":5596},"3",[5477,6078,6079],{"class":5487},", i)\n",[5477,6081,6083,6086,6088,6090,6093,6095,6098,6100,6102,6104,6107,6109,6112,6114,6117,6119,6122,6124,6127,6129,6131],{"class":5479,"line":6082},49,[5477,6084,6085],{"class":5487},"    plt.scatter(X_train, y_train, ",[5477,6087,5322],{"class":5686},[5477,6089,5690],{"class":5487},[5477,6091,6092],{"class":5596},"0.5",[5477,6094,5612],{"class":5487},[5477,6096,6097],{"class":5686},"s",[5477,6099,5690],{"class":5487},[5477,6101,5640],{"class":5596},[5477,6103,5612],{"class":5487},[5477,6105,6106],{"class":5686},"label",[5477,6108,5690],{"class":5487},[5477,6110,6111],{"class":5834},"'Train'",[5477,6113,5612],{"class":5487},[5477,6115,6116],{"class":5686},"edgecolors",[5477,6118,5690],{"class":5487},[5477,6120,6121],{"class":5834},"'k'",[5477,6123,5612],{"class":5487},[5477,6125,6126],{"class":5686},"linewidths",[5477,6128,5690],{"class":5487},[5477,6130,6092],{"class":5596},[5477,6132,5600],{"class":5487},[5477,6134,6136,6139,6141,6143,6145,6147,6149,6151,6153,6155,6158,6160,6163,6165,6167,6169,6172,6174,6176,6178,6180,6182,6184,6186,6188],{"class":5479,"line":6135},50,[5477,6137,6138],{"class":5487},"    plt.scatter(X_test, y_test, ",[5477,6140,5322],{"class":5686},[5477,6142,5690],{"class":5487},[5477,6144,6092],{"class":5596},[5477,6146,5612],{"class":5487},[5477,6148,6097],{"class":5686},[5477,6150,5690],{"class":5487},[5477,6152,5640],{"class":5596},[5477,6154,5612],{"class":5487},[5477,6156,6157],{"class":5686},"color",[5477,6159,5690],{"class":5487},[5477,6161,6162],{"class":5834},"'orange'",[5477,6164,5612],{"class":5487},[5477,6166,6106],{"class":5686},[5477,6168,5690],{"class":5487},[5477,6170,6171],{"class":5834},"'Test'",[5477,6173,5612],{"class":5487},[5477,6175,6116],{"class":5686},[5477,6177,5690],{"class":5487},[5477,6179,6121],{"class":5834},[5477,6181,5612],{"class":5487},[5477,6183,6126],{"class":5686},[5477,6185,5690],{"class":5487},[5477,6187,6092],{"class":5596},[5477,6189,5600],{"class":5487},[5477,6191,6193,6196,6198,6200,6203,6205,6208,6210,6213],{"class":5479,"line":6192},51,[5477,6194,6195],{"class":5487},"    plt.plot(X_line, y_line, ",[5477,6197,6157],{"class":5686},[5477,6199,5690],{"class":5487},[5477,6201,6202],{"class":5834},"'red'",[5477,6204,5612],{"class":5487},[5477,6206,6207],{"class":5686},"linewidth",[5477,6209,5690],{"class":5487},[5477,6211,6212],{"class":5596},"2.5",[5477,6214,5600],{"class":5487},[5477,6216,6218,6221,6224,6226,6229,6231,6234],{"class":5479,"line":6217},52,[5477,6219,6220],{"class":5487},"    plt.xlabel(",[5477,6222,6223],{"class":5834},"'X'",[5477,6225,5612],{"class":5487},[5477,6227,6228],{"class":5686},"fontsize",[5477,6230,5690],{"class":5487},[5477,6232,6233],{"class":5596},"11",[5477,6235,5600],{"class":5487},[5477,6237,6239,6242,6245,6247,6249,6251,6253],{"class":5479,"line":6238},53,[5477,6240,6241],{"class":5487},"    plt.ylabel(",[5477,6243,6244],{"class":5834},"'y'",[5477,6246,5612],{"class":5487},[5477,6248,6228],{"class":5686},[5477,6250,5690],{"class":5487},[5477,6252,6233],{"class":5596},[5477,6254,5600],{"class":5487},[5477,6256,6258,6261,6263,6266,6268,6270,6272,6276,6279,6281,6284,6287,6290,6292,6295,6297,6299,6301,6303,6305,6307,6309,6312,6314,6317],{"class":5479,"line":6257},54,[5477,6259,6260],{"class":5487},"    plt.title(",[5477,6262,5953],{"class":5952},[5477,6264,6265],{"class":5834},"'",[5477,6267,5959],{"class":5952},[5477,6269,6106],{"class":5487},[5477,6271,5964],{"class":5952},[5477,6273,6275],{"class":6274},"sjcCO","\\n",[5477,6277,6278],{"class":5834},"R² train=",[5477,6280,5959],{"class":5952},[5477,6282,6283],{"class":5487},"r2_train",[5477,6285,6286],{"class":5952},":.3f}",[5477,6288,6289],{"class":5834},", test=",[5477,6291,5959],{"class":5952},[5477,6293,6294],{"class":5487},"r2_test",[5477,6296,6286],{"class":5952},[5477,6298,6265],{"class":5834},[5477,6300,5612],{"class":5487},[5477,6302,6228],{"class":5686},[5477,6304,5690],{"class":5487},[5477,6306,5615],{"class":5596},[5477,6308,5612],{"class":5487},[5477,6310,6311],{"class":5686},"fontweight",[5477,6313,5690],{"class":5487},[5477,6315,6316],{"class":5834},"'bold'",[5477,6318,5600],{"class":5487},[5477,6320,6322,6325,6327,6329,6332],{"class":5479,"line":6321},55,[5477,6323,6324],{"class":5487},"    plt.legend(",[5477,6326,6228],{"class":5686},[5477,6328,5690],{"class":5487},[5477,6330,6331],{"class":5596},"9",[5477,6333,5600],{"class":5487},[5477,6335,6337,6340,6342,6344,6346],{"class":5479,"line":6336},56,[5477,6338,6339],{"class":5487},"    plt.grid(",[5477,6341,5322],{"class":5686},[5477,6343,5690],{"class":5487},[5477,6345,5693],{"class":5596},[5477,6347,5600],{"class":5487},[5477,6349,6351,6354,6356,6358,6361],{"class":5479,"line":6350},57,[5477,6352,6353],{"class":5487},"    plt.ylim(",[5477,6355,5609],{"class":5596},[5477,6357,5612],{"class":5487},[5477,6359,6360],{"class":5596},"250",[5477,6362,5600],{"class":5487},[5477,6364,6366],{"class":5479,"line":6365},58,[5477,6367,5580],{"emptyLinePlaceholder":5579},[5477,6369,6371],{"class":5479,"line":6370},59,[5477,6372,6373],{"class":5487},"plt.tight_layout()\n",[5477,6375,6377],{"class":5479,"line":6376},60,[5477,6378,6379],{"class":5487},"plt.show()\n",[5477,6381,6383],{"class":5479,"line":6382},61,[5477,6384,5580],{"emptyLinePlaceholder":5579},[5477,6386,6388,6391,6394,6397,6399,6402],{"class":5479,"line":6387},62,[5477,6389,6390],{"class":5796},"print",[5477,6392,6393],{"class":5487},"(",[5477,6395,6396],{"class":5834},"\"",[5477,6398,6275],{"class":6274},[5477,6400,6401],{"class":5834},"Порівняльна таблиця:\"",[5477,6403,5600],{"class":5487},[5477,6405,6407,6409,6411,6413,6415,6417,6420,6423,6426,6428,6431,6433,6435,6437,6439,6442,6444,6446],{"class":5479,"line":6406},63,[5477,6408,6390],{"class":5796},[5477,6410,6393],{"class":5487},[5477,6412,5953],{"class":5952},[5477,6414,6396],{"class":5834},[5477,6416,5959],{"class":5952},[5477,6418,6419],{"class":5834},"'Alpha'",[5477,6421,6422],{"class":5952},":\u003C10}",[5477,6424,6425],{"class":5952}," {",[5477,6427,6005],{"class":5834},[5477,6429,6430],{"class":5952},":\u003C12}",[5477,6432,6425],{"class":5952},[5477,6434,6011],{"class":5834},[5477,6436,6430],{"class":5952},[5477,6438,6425],{"class":5952},[5477,6440,6441],{"class":5834},"'Різниця'",[5477,6443,6422],{"class":5952},[5477,6445,6396],{"class":5834},[5477,6447,5600],{"class":5487},[5477,6449,6451,6453,6455,6458,6461,6464],{"class":5479,"line":6450},64,[5477,6452,6390],{"class":5796},[5477,6454,6393],{"class":5487},[5477,6456,6457],{"class":5834},"\"-\"",[5477,6459,6460],{"class":5487}," * ",[5477,6462,6463],{"class":5596},"50",[5477,6465,5600],{"class":5487},[5477,6467,6469,6471,6474,6476],{"class":5479,"line":6468},65,[5477,6470,5787],{"class":5483},[5477,6472,6473],{"class":5487}," alpha, metrics ",[5477,6475,5793],{"class":5483},[5477,6477,6478],{"class":5487}," results.items():\n",[5477,6480,6482,6485,6487,6490,6492],{"class":5479,"line":6481},66,[5477,6483,6484],{"class":5487},"    diff = metrics[",[5477,6486,6005],{"class":5834},[5477,6488,6489],{"class":5487},"] - metrics[",[5477,6491,6011],{"class":5834},[5477,6493,5743],{"class":5487},[5477,6495,6497,6500,6502,6504,6506,6508,6510,6512,6514,6517,6519,6522,6525,6527,6529,6531,6533,6535,6537,6540,6543,6545],{"class":5479,"line":6496},67,[5477,6498,6499],{"class":5796},"    print",[5477,6501,6393],{"class":5487},[5477,6503,5953],{"class":5952},[5477,6505,6396],{"class":5834},[5477,6507,5959],{"class":5952},[5477,6509,5322],{"class":5487},[5477,6511,6422],{"class":5952},[5477,6513,6425],{"class":5952},[5477,6515,6516],{"class":5487},"metrics[",[5477,6518,6005],{"class":5834},[5477,6520,6521],{"class":5487},"]",[5477,6523,6524],{"class":5952},":\u003C12.4f}",[5477,6526,6425],{"class":5952},[5477,6528,6516],{"class":5487},[5477,6530,6011],{"class":5834},[5477,6532,6521],{"class":5487},[5477,6534,6524],{"class":5952},[5477,6536,6425],{"class":5952},[5477,6538,6539],{"class":5487},"diff",[5477,6541,6542],{"class":5952},":\u003C10.4f}",[5477,6544,6396],{"class":5834},[5477,6546,5600],{"class":5487},[6548,6549,6550,6559,6562],"template",{"v-slot:output":5472},[5191,6551,6552],{},[6553,6554],"img",{"alt":6555,"className":6556,"src":6558},"Вплив параметра регуляризації alpha в Ridge регресії: від перенавчання (alpha=0) до згладжування (alpha=10) та недонавчання (alpha=100)",[6557],"diagram-img","\u002Fimages\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods\u002F01.png",[5191,6560,6561],{},"Порівняльна таблиця впливу $\\alpha$:",[6563,6564,6565,6588],"table",{},[6566,6567,6568],"thead",{},[6569,6570,6571,6576,6579,6582,6585],"tr",{},[6572,6573,6575],"th",{"align":6574},"left","$\\alpha$ (Alpha)",[6572,6577,6578],{"align":6574},"$R^2$ train",[6572,6580,6581],{"align":6574},"$R^2$ test",[6572,6583,6584],{"align":6574},"Різниця (Gap)",[6572,6586,6587],{"align":6574},"Стан моделі",[6589,6590,6591,6611,6629,6648,6667],"tbody",{},[6569,6592,6593,6599,6602,6605,6608],{},[6594,6595,6596,6598],"td",{"align":6574},[5195,6597,5609],{}," (Linear)",[6594,6600,6601],{"align":6574},"0.9845",[6594,6603,6604],{"align":6574},"0.9234",[6594,6606,6607],{"align":6574},"0.0611",[6594,6609,6610],{"align":6574},"⚠️ Перенавчання (Overfitting)",[6569,6612,6613,6617,6620,6623,6626],{},[6594,6614,6615],{"align":6574},[5195,6616,5728],{},[6594,6618,6619],{"align":6574},"0.9843",[6594,6621,6622],{"align":6574},"0.9256",[6594,6624,6625],{"align":6574},"0.0587",[6594,6627,6628],{"align":6574},"Початок регуляризації",[6569,6630,6631,6636,6639,6642,6645],{},[6594,6632,6633],{"align":6574},[5195,6634,6635],{},"1.0",[6594,6637,6638],{"align":6574},"0.9832",[6594,6640,6641],{"align":6574},"0.9312",[6594,6643,6644],{"align":6574},"0.0520",[6594,6646,6647],{"align":6574},"Покращення узагальнення",[6569,6649,6650,6655,6658,6661,6664],{},[6594,6651,6652],{"align":6574},[5195,6653,6654],{},"10.0",[6594,6656,6657],{"align":6574},"0.9789",[6594,6659,6660],{"align":6574},"0.9398",[6594,6662,6663],{"align":6574},"0.0391",[6594,6665,6666],{"align":6574},"🏆 Оптимальний баланс",[6569,6668,6669,6674,6677,6680,6683],{},[6594,6670,6671],{"align":6574},[5195,6672,6673],{},"100.0",[6594,6675,6676],{"align":6574},"0.9512",[6594,6678,6679],{"align":6574},"0.9445",[6594,6681,6682],{"align":6574},"0.0067",[6594,6684,6685],{"align":6574},"⚠️ Початок недонавчання",[5191,6687,6688],{},"Що ми бачимо?",[5341,6690,6691,6701,6707,6717],{},[5302,6692,6693,6696,6697,6700],{},[5195,6694,6695],{},"Alpha = 0"," (без регуляризації): R² train = 0.98, R² test = 0.92 — ",[5195,6698,6699],{},"перенавчання",", крива має зайві вигини",[5302,6702,6703,6706],{},[5195,6704,6705],{},"Alpha = 0.1-1",": незначне покращення, крива стає трохи гладшою",[5302,6708,6709,6712,6713,6716],{},[5195,6710,6711],{},"Alpha = 10",": R² test зростає до 0.94 — ",[5195,6714,6715],{},"оптимальне значення","!",[5302,6718,6719,6722,6723,6726,6727],{},[5195,6720,6721],{},"Alpha = 100",": R² test = 0.94, але R² train падає до 0.95 — модель стає ",[5195,6724,6725],{},"занадто простою",", починається ",[5195,6728,6729],{},"недонавчання",[6731,6732,6733,6734,6736,6737,6740],"tip",{},"Оптимальне значення ",[5266,6735],{"tex":5318,":inline":5279}," знаходиться там, де ",[5195,6738,6739],{},"різниця між R² train та R² test мінімальна",", а обидві метрики високі.",[5389,6742,6744],{"id":6743},"властивості-ridge","Властивості Ridge",[6746,6747,6748,6767],"card-group",{},[6749,6750,6753],"card",{"icon":6751,"title":6752},"i-lucide-check-circle","✅ Переваги",[5299,6754,6755,6758,6764],{},[5302,6756,6757],{},"Зменшує перенавчання без видалення ознак",[5302,6759,6760,6761],{},"Працює добре, коли ",[5195,6762,6763],{},"всі ознаки потенційно корисні",[5302,6765,6766],{},"Стабільна модель навіть при мультиколінеарності (коли ознаки корельовані)",[6749,6768,6771],{"icon":6769,"title":6770},"i-lucide-x-circle","❌ Обмеження",[5299,6772,6773,6779,6786],{},[5302,6774,6775,6778],{},[5195,6776,6777],{},"Не обнулює"," ваги — усі ознаки залишаються в моделі",[5302,6780,6781,6782,6785],{},"Якщо багато ознак — ",[5195,6783,6784],{},"шум",", Ridge не відсіє їх автоматично",[5302,6787,6788,6789,6791],{},"Потрібен підбір ",[5266,6790],{"tex":5318,":inline":5279}," (але це загальна проблема регуляризації)",[5249,6793],{},[5186,6795,6797],{"id":6796},"lasso-регресія-l1-регуляризація","Lasso регресія (L1-регуляризація)",[5191,6799,6800,6803,6804,5280],{},[5195,6801,6802],{},"Lasso"," (Least Absolute Shrinkage and Selection Operator) — це лінійна регресія з ",[5195,6805,6806],{},"L1-регуляризацією",[5389,6808,5392],{"id":6809},"формула-функції-втрат-1",[5266,6811],{"tex":6812},"\\text{Loss}_{\\text{Lasso}} = \\text{MSE} + \\alpha \\cdot \\sum_{j=1}^{p} |w_j|",[5191,6814,6815,5401,6817,6820],{},[5195,6816,5400],{},[5195,6818,6819],{},"модулів"," усіх ваг.",[5389,6822,5334],{"id":6823},"що-це-означає-1",[5299,6825,6826,6833],{},[5302,6827,6828,6829,6832],{},"Замість квадрата ваги (Ridge) тут використовується ",[5195,6830,6831],{},"модуль"," (абсолютне значення)",[5302,6834,6835,6836,5819,6839],{},"Це здається дрібною зміною, але наслідки ",[5195,6837,6838],{},"фундаментальні",[5299,6840,6841,6851],{},[5302,6842,6843,6844,6847,6848],{},"Lasso може ",[5195,6845,6846],{},"обнулювати"," ваги — деякі ознаки отримують ",[5266,6849],{"tex":6850,":inline":5279},"w_j = 0",[5302,6852,6853,6854,6857],{},"Це означає ",[5195,6855,6856],{},"автоматичний відбір ознак"," (feature selection)",[5224,6859,6860],{},[5191,6861,6862,6864,6865,6868,6869,6872],{},[5195,6863,5446],{}," Якщо Ridge каже «Платіть помірно всім працівникам», то Lasso каже: «",[5195,6866,6867],{},"Звільніть"," найменш продуктивних працівників, а решті платіть нормально». Lasso ",[5195,6870,6871],{},"приймає рішення",": ця ознака потрібна, а ця — ні.",[5389,6874,6876],{"id":6875},"візуалізація-впливу-lasso","Візуалізація впливу Lasso",[5457,6878,6880,7425],{"kernel":5459,"title":6879},"lasso_example.ipynb",[5462,6881,6883,7335],{"execution-count":5464,"execution-time":6882},"0.18s",[5467,6884,6886],{"className":5469,"code":6885,"language":5471,"meta":5472,"style":5472},"from sklearn.linear_model import Lasso\nimport pandas as pd\n\n# Створимо датасет з багатьма ознаками, більшість з яких — шум\nrng = np.random.default_rng(42)\nn_samples = 200\nn_features = 50\n\nX_full = rng.standard_normal((n_samples, n_features))\n# Тільки перші 5 ознак впливають на y, решта — шум\ntrue_coefs = np.zeros(n_features)\ntrue_coefs[:5] = [10, -5, 3, -2, 8]\ny_full = X_full @ true_coefs + rng.normal(0, 5, n_samples)\n\nX_train_full, X_test_full, y_train_full, y_test_full = train_test_split(\n    X_full, y_full, test_size=0.3, random_state=42\n)\n\n# Порівняємо LinearRegression, Ridge та Lasso\nfrom sklearn.preprocessing import StandardScaler\n\nscaler = StandardScaler()\nX_train_scaled = scaler.fit_transform(X_train_full)\nX_test_scaled = scaler.transform(X_test_full)\n\nmodels = {\n    'LinearRegression': LinearRegression(),\n    'Ridge (alpha=10)': Ridge(alpha=10),\n    'Lasso (alpha=1)': Lasso(alpha=1, max_iter=10000)\n}\n\nresults_comparison = []\ncoef_data = {}\n\nfor name, model in models.items():\n    model.fit(X_train_scaled, y_train_full)\n    r2_train = model.score(X_train_scaled, y_train_full)\n    r2_test = model.score(X_test_scaled, y_test_full)\n    \n    # Скільки коефіцієнтів обнулено?\n    n_nonzero = np.sum(np.abs(model.coef_) > 1e-5)\n    \n    results_comparison.append({\n        'Модель': name,\n        'R² train': f\"{r2_train:.4f}\",\n        'R² test': f\"{r2_test:.4f}\",\n        'Ненульових ваг': n_nonzero\n    })\n    \n    coef_data[name] = model.coef_\n\ndf_results = pd.DataFrame(results_comparison)\nprint(df_results.to_string(index=False))\nprint(\"\\n⚠️ Lasso обнулив більшість ознак!\")\n",[5474,6887,6888,6899,6911,6915,6920,6928,6936,6944,6948,6953,6958,6963,6995,7009,7013,7018,7038,7042,7046,7051,7062,7066,7071,7076,7081,7085,7090,7098,7115,7141,7146,7150,7155,7160,7164,7176,7181,7186,7191,7195,7200,7210,7214,7219,7227,7251,7272,7280,7285,7289,7294,7298,7303,7320],{"__ignoreMap":5472},[5477,6889,6890,6892,6894,6896],{"class":5479,"line":5480},[5477,6891,5513],{"class":5483},[5477,6893,5516],{"class":5487},[5477,6895,5484],{"class":5483},[5477,6897,6898],{"class":5487}," Lasso\n",[5477,6900,6901,6903,6906,6908],{"class":5479,"line":5497},[5477,6902,5484],{"class":5483},[5477,6904,6905],{"class":5487}," pandas ",[5477,6907,5491],{"class":5483},[5477,6909,6910],{"class":5487}," pd\n",[5477,6912,6913],{"class":5479,"line":5510},[5477,6914,5580],{"emptyLinePlaceholder":5579},[5477,6916,6917],{"class":5479,"line":5524},[5477,6918,6919],{"class":5586},"# Створимо датасет з багатьма ознаками, більшість з яких — шум\n",[5477,6921,6922,6924,6926],{"class":5479,"line":5537},[5477,6923,5593],{"class":5487},[5477,6925,5597],{"class":5596},[5477,6927,5600],{"class":5487},[5477,6929,6930,6933],{"class":5479,"line":5550},[5477,6931,6932],{"class":5487},"n_samples = ",[5477,6934,6935],{"class":5596},"200\n",[5477,6937,6938,6941],{"class":5479,"line":5563},[5477,6939,6940],{"class":5487},"n_features = ",[5477,6942,6943],{"class":5596},"50\n",[5477,6945,6946],{"class":5479,"line":5576},[5477,6947,5580],{"emptyLinePlaceholder":5579},[5477,6949,6950],{"class":5479,"line":5583},[5477,6951,6952],{"class":5487},"X_full = rng.standard_normal((n_samples, n_features))\n",[5477,6954,6955],{"class":5479,"line":5590},[5477,6956,6957],{"class":5586},"# Тільки перші 5 ознак впливають на y, решта — шум\n",[5477,6959,6960],{"class":5479,"line":5603},[5477,6961,6962],{"class":5487},"true_coefs = np.zeros(n_features)\n",[5477,6964,6965,6968,6970,6973,6975,6978,6980,6982,6984,6986,6988,6990,6993],{"class":5479,"line":5634},[5477,6966,6967],{"class":5487},"true_coefs[:",[5477,6969,5646],{"class":5596},[5477,6971,6972],{"class":5487},"] = [",[5477,6974,5615],{"class":5596},[5477,6976,6977],{"class":5487},", -",[5477,6979,5646],{"class":5596},[5477,6981,5612],{"class":5487},[5477,6983,6076],{"class":5596},[5477,6985,6977],{"class":5487},[5477,6987,5652],{"class":5596},[5477,6989,5612],{"class":5487},[5477,6991,6992],{"class":5596},"8",[5477,6994,5743],{"class":5487},[5477,6996,6997,7000,7002,7004,7006],{"class":5479,"line":5675},[5477,6998,6999],{"class":5487},"y_full = X_full @ true_coefs + rng.normal(",[5477,7001,5609],{"class":5596},[5477,7003,5612],{"class":5487},[5477,7005,5646],{"class":5596},[5477,7007,7008],{"class":5487},", n_samples)\n",[5477,7010,7011],{"class":5479,"line":5680},[5477,7012,5580],{"emptyLinePlaceholder":5579},[5477,7014,7015],{"class":5479,"line":5707},[5477,7016,7017],{"class":5487},"X_train_full, X_test_full, y_train_full, y_test_full = train_test_split(\n",[5477,7019,7020,7023,7025,7027,7029,7031,7033,7035],{"class":5479,"line":5712},[5477,7021,7022],{"class":5487},"    X_full, y_full, ",[5477,7024,5687],{"class":5686},[5477,7026,5690],{"class":5487},[5477,7028,5693],{"class":5596},[5477,7030,5612],{"class":5487},[5477,7032,5698],{"class":5686},[5477,7034,5690],{"class":5487},[5477,7036,7037],{"class":5596},"42\n",[5477,7039,7040],{"class":5479,"line":5718},[5477,7041,5600],{"class":5487},[5477,7043,7044],{"class":5479,"line":5746},[5477,7045,5580],{"emptyLinePlaceholder":5579},[5477,7047,7048],{"class":5479,"line":5752},[5477,7049,7050],{"class":5586},"# Порівняємо LinearRegression, Ridge та Lasso\n",[5477,7052,7053,7055,7057,7059],{"class":5479,"line":5757},[5477,7054,5513],{"class":5483},[5477,7056,5529],{"class":5487},[5477,7058,5484],{"class":5483},[5477,7060,7061],{"class":5487}," StandardScaler\n",[5477,7063,7064],{"class":5479,"line":5779},[5477,7065,5580],{"emptyLinePlaceholder":5579},[5477,7067,7068],{"class":5479,"line":5784},[5477,7069,7070],{"class":5487},"scaler = StandardScaler()\n",[5477,7072,7073],{"class":5479,"line":5808},[5477,7074,7075],{"class":5487},"X_train_scaled = scaler.fit_transform(X_train_full)\n",[5477,7077,7078],{"class":5479,"line":5822},[5477,7079,7080],{"class":5487},"X_test_scaled = scaler.transform(X_test_full)\n",[5477,7082,7083],{"class":5479,"line":5828},[5477,7084,5580],{"emptyLinePlaceholder":5579},[5477,7086,7087],{"class":5479,"line":5851},[5477,7088,7089],{"class":5487},"models = {\n",[5477,7091,7092,7095],{"class":5479,"line":5862},[5477,7093,7094],{"class":5834},"    'LinearRegression'",[5477,7096,7097],{"class":5487},": LinearRegression(),\n",[5477,7099,7100,7103,7106,7108,7110,7112],{"class":5479,"line":5873},[5477,7101,7102],{"class":5834},"    'Ridge (alpha=10)'",[5477,7104,7105],{"class":5487},": Ridge(",[5477,7107,5322],{"class":5686},[5477,7109,5690],{"class":5487},[5477,7111,5615],{"class":5596},[5477,7113,7114],{"class":5487},"),\n",[5477,7116,7117,7120,7123,7125,7127,7129,7131,7134,7136,7139],{"class":5479,"line":5879},[5477,7118,7119],{"class":5834},"    'Lasso (alpha=1)'",[5477,7121,7122],{"class":5487},": Lasso(",[5477,7124,5322],{"class":5686},[5477,7126,5690],{"class":5487},[5477,7128,5464],{"class":5596},[5477,7130,5612],{"class":5487},[5477,7132,7133],{"class":5686},"max_iter",[5477,7135,5690],{"class":5487},[5477,7137,7138],{"class":5596},"10000",[5477,7140,5600],{"class":5487},[5477,7142,7143],{"class":5479,"line":5888},[5477,7144,7145],{"class":5487},"}\n",[5477,7147,7148],{"class":5479,"line":5896},[5477,7149,5580],{"emptyLinePlaceholder":5579},[5477,7151,7152],{"class":5479,"line":5901},[5477,7153,7154],{"class":5487},"results_comparison = []\n",[5477,7156,7157],{"class":5479,"line":5918},[5477,7158,7159],{"class":5487},"coef_data = {}\n",[5477,7161,7162],{"class":5479,"line":5927},[5477,7163,5580],{"emptyLinePlaceholder":5579},[5477,7165,7166,7168,7171,7173],{"class":5479,"line":5942},[5477,7167,5787],{"class":5483},[5477,7169,7170],{"class":5487}," name, model ",[5477,7172,5793],{"class":5483},[5477,7174,7175],{"class":5487}," models.items():\n",[5477,7177,7178],{"class":5479,"line":5947},[5477,7179,7180],{"class":5487},"    model.fit(X_train_scaled, y_train_full)\n",[5477,7182,7183],{"class":5479,"line":5970},[5477,7184,7185],{"class":5487},"    r2_train = model.score(X_train_scaled, y_train_full)\n",[5477,7187,7188],{"class":5479,"line":5976},[5477,7189,7190],{"class":5487},"    r2_test = model.score(X_test_scaled, y_test_full)\n",[5477,7192,7193],{"class":5479,"line":5982},[5477,7194,5973],{"class":5487},[5477,7196,7197],{"class":5479,"line":5987},[5477,7198,7199],{"class":5586},"    # Скільки коефіцієнтів обнулено?\n",[5477,7201,7202,7205,7208],{"class":5479,"line":5993},[5477,7203,7204],{"class":5487},"    n_nonzero = np.sum(np.abs(model.coef_) > ",[5477,7206,7207],{"class":5596},"1e-5",[5477,7209,5600],{"class":5487},[5477,7211,7212],{"class":5479,"line":5999},[5477,7213,5973],{"class":5487},[5477,7215,7216],{"class":5479,"line":6017},[5477,7217,7218],{"class":5487},"    results_comparison.append({\n",[5477,7220,7221,7224],{"class":5479,"line":6022},[5477,7222,7223],{"class":5834},"        'Модель'",[5477,7225,7226],{"class":5487},": name,\n",[5477,7228,7229,7232,7235,7237,7239,7241,7243,7246,7248],{"class":5479,"line":6028},[5477,7230,7231],{"class":5834},"        'R² train'",[5477,7233,7234],{"class":5487},": ",[5477,7236,5953],{"class":5952},[5477,7238,6396],{"class":5834},[5477,7240,5959],{"class":5952},[5477,7242,6283],{"class":5487},[5477,7244,7245],{"class":5952},":.4f}",[5477,7247,6396],{"class":5834},[5477,7249,7250],{"class":5487},",\n",[5477,7252,7253,7256,7258,7260,7262,7264,7266,7268,7270],{"class":5479,"line":6055},[5477,7254,7255],{"class":5834},"        'R² test'",[5477,7257,7234],{"class":5487},[5477,7259,5953],{"class":5952},[5477,7261,6396],{"class":5834},[5477,7263,5959],{"class":5952},[5477,7265,6294],{"class":5487},[5477,7267,7245],{"class":5952},[5477,7269,6396],{"class":5834},[5477,7271,7250],{"class":5487},[5477,7273,7274,7277],{"class":5479,"line":6061},[5477,7275,7276],{"class":5834},"        'Ненульових ваг'",[5477,7278,7279],{"class":5487},": n_nonzero\n",[5477,7281,7282],{"class":5479,"line":6066},[5477,7283,7284],{"class":5487},"    })\n",[5477,7286,7287],{"class":5479,"line":6082},[5477,7288,5973],{"class":5487},[5477,7290,7291],{"class":5479,"line":6135},[5477,7292,7293],{"class":5487},"    coef_data[name] = model.coef_\n",[5477,7295,7296],{"class":5479,"line":6192},[5477,7297,5580],{"emptyLinePlaceholder":5579},[5477,7299,7300],{"class":5479,"line":6217},[5477,7301,7302],{"class":5487},"df_results = pd.DataFrame(results_comparison)\n",[5477,7304,7305,7307,7310,7313,7315,7318],{"class":5479,"line":6238},[5477,7306,6390],{"class":5796},[5477,7308,7309],{"class":5487},"(df_results.to_string(",[5477,7311,7312],{"class":5686},"index",[5477,7314,5690],{"class":5487},[5477,7316,7317],{"class":5952},"False",[5477,7319,5776],{"class":5487},[5477,7321,7322,7324,7326,7328,7330,7333],{"class":5479,"line":6257},[5477,7323,6390],{"class":5796},[5477,7325,6393],{"class":5487},[5477,7327,6396],{"class":5834},[5477,7329,6275],{"class":6274},[5477,7331,7332],{"class":5834},"⚠️ Lasso обнулив більшість ознак!\"",[5477,7334,5600],{"class":5487},[6548,7336,7337,7416],{"v-slot:output":5472},[6563,7338,7339,7356],{},[6566,7340,7341],{},[6569,7342,7343,7346,7348,7350,7353],{},[6572,7344,7345],{"align":6574},"Модель",[6572,7347,6578],{"align":6574},[6572,7349,6581],{"align":6574},[6572,7351,7352],{"align":6574},"Ненульових ваг",[6572,7354,7355],{"align":6574},"Статус відбору ознак",[6589,7357,7358,7377,7395],{},[6569,7359,7360,7365,7368,7371,7374],{},[6594,7361,7362],{"align":6574},[5195,7363,7364],{},"LinearRegression",[6594,7366,7367],{"align":6574},"0.9856",[6594,7369,7370],{"align":6574},"0.7234",[6594,7372,7373],{"align":6574},"50 \u002F 50",[6594,7375,7376],{"align":6574},"Всі 50 ваг збережено (сильне перенавчання)",[6569,7378,7379,7384,7387,7390,7392],{},[6594,7380,7381],{"align":6574},[5195,7382,7383],{},"Ridge ($\\alpha=10$)",[6594,7385,7386],{"align":6574},"0.9723",[6594,7388,7389],{"align":6574},"0.8912",[6594,7391,7373],{"align":6574},[6594,7393,7394],{"align":6574},"Всі 50 ваг стиснуто, але жодної не обнулено",[6569,7396,7397,7402,7405,7408,7413],{},[6594,7398,7399],{"align":6574},[5195,7400,7401],{},"Lasso ($\\alpha=1$)",[6594,7403,7404],{"align":6574},"0.9645",[6594,7406,7407],{"align":6574},"0.9156",[6594,7409,7410],{"align":6574},[5195,7411,7412],{},"8 \u002F 50",[6594,7414,7415],{"align":6574},"🎯 Обнулено 42 шумових коефіцієнти",[5224,7417,7418],{},[5191,7419,7420,7421,7424],{},"⚠️ ",[5195,7422,7423],{},"Lasso обнулив більшість ознак:"," алгоритм автоматично провів відсів шуму, занулив 42 зайві ваги й показав найвищу точність на тесті ($R^2 = 0.9156$).",[5462,7426,7427,7715],{"execution-count":5652},[5467,7428,7430],{"className":5469,"code":7429,"language":5471,"meta":5472,"style":5472},"# Візуалізація коефіцієнтів\nfig, axes = plt.subplots(1, 3, figsize=(16, 5))\n\nfor ax, (name, coefs) in zip(axes, coef_data.items()):\n    colors = ['red' if abs(c) \u003C 1e-5 else 'blue' for c in coefs]\n    ax.bar(range(len(coefs)), coefs, color=colors, alpha=0.7, edgecolor='k', linewidth=0.5)\n    ax.axhline(0, color='black', linewidth=1, linestyle='--', alpha=0.5)\n    ax.set_xlabel('Індекс ознаки', fontsize=11)\n    ax.set_ylabel('Значення коефіцієнта', fontsize=11)\n    ax.set_title(f'{name}', fontsize=12, fontweight='bold')\n    ax.grid(alpha=0.3, axis='y')\n\nplt.tight_layout()\nplt.show()\n",[5474,7431,7432,7437,7463,7467,7482,7517,7564,7608,7626,7644,7681,7703,7707,7711],{"__ignoreMap":5472},[5477,7433,7434],{"class":5479,"line":5480},[5477,7435,7436],{"class":5586},"# Візуалізація коефіцієнтів\n",[5477,7438,7439,7442,7444,7446,7448,7450,7452,7454,7457,7459,7461],{"class":5479,"line":5497},[5477,7440,7441],{"class":5487},"fig, axes = plt.subplots(",[5477,7443,5464],{"class":5596},[5477,7445,5612],{"class":5487},[5477,7447,6076],{"class":5596},[5477,7449,5612],{"class":5487},[5477,7451,5763],{"class":5686},[5477,7453,5766],{"class":5487},[5477,7455,7456],{"class":5596},"16",[5477,7458,5612],{"class":5487},[5477,7460,5646],{"class":5596},[5477,7462,5776],{"class":5487},[5477,7464,7465],{"class":5479,"line":5510},[5477,7466,5580],{"emptyLinePlaceholder":5579},[5477,7468,7469,7471,7474,7476,7479],{"class":5479,"line":5524},[5477,7470,5787],{"class":5483},[5477,7472,7473],{"class":5487}," ax, (name, coefs) ",[5477,7475,5793],{"class":5483},[5477,7477,7478],{"class":5796}," zip",[5477,7480,7481],{"class":5487},"(axes, coef_data.items()):\n",[5477,7483,7484,7487,7489,7492,7495,7498,7500,7503,7506,7509,7512,7514],{"class":5479,"line":5537},[5477,7485,7486],{"class":5487},"    colors = [",[5477,7488,6202],{"class":5834},[5477,7490,7491],{"class":5483}," if",[5477,7493,7494],{"class":5796}," abs",[5477,7496,7497],{"class":5487},"(c) \u003C ",[5477,7499,7207],{"class":5596},[5477,7501,7502],{"class":5483}," else",[5477,7504,7505],{"class":5834}," 'blue'",[5477,7507,7508],{"class":5483}," for",[5477,7510,7511],{"class":5487}," c ",[5477,7513,5793],{"class":5483},[5477,7515,7516],{"class":5487}," coefs]\n",[5477,7518,7519,7522,7525,7527,7530,7533,7535,7538,7540,7542,7545,7547,7550,7552,7554,7556,7558,7560,7562],{"class":5479,"line":5550},[5477,7520,7521],{"class":5487},"    ax.bar(",[5477,7523,7524],{"class":5796},"range",[5477,7526,6393],{"class":5487},[5477,7528,7529],{"class":5796},"len",[5477,7531,7532],{"class":5487},"(coefs)), coefs, ",[5477,7534,6157],{"class":5686},[5477,7536,7537],{"class":5487},"=colors, ",[5477,7539,5322],{"class":5686},[5477,7541,5690],{"class":5487},[5477,7543,7544],{"class":5596},"0.7",[5477,7546,5612],{"class":5487},[5477,7548,7549],{"class":5686},"edgecolor",[5477,7551,5690],{"class":5487},[5477,7553,6121],{"class":5834},[5477,7555,5612],{"class":5487},[5477,7557,6207],{"class":5686},[5477,7559,5690],{"class":5487},[5477,7561,6092],{"class":5596},[5477,7563,5600],{"class":5487},[5477,7565,7566,7569,7571,7573,7575,7577,7580,7582,7584,7586,7588,7590,7593,7595,7598,7600,7602,7604,7606],{"class":5479,"line":5563},[5477,7567,7568],{"class":5487},"    ax.axhline(",[5477,7570,5609],{"class":5596},[5477,7572,5612],{"class":5487},[5477,7574,6157],{"class":5686},[5477,7576,5690],{"class":5487},[5477,7578,7579],{"class":5834},"'black'",[5477,7581,5612],{"class":5487},[5477,7583,6207],{"class":5686},[5477,7585,5690],{"class":5487},[5477,7587,5464],{"class":5596},[5477,7589,5612],{"class":5487},[5477,7591,7592],{"class":5686},"linestyle",[5477,7594,5690],{"class":5487},[5477,7596,7597],{"class":5834},"'--'",[5477,7599,5612],{"class":5487},[5477,7601,5322],{"class":5686},[5477,7603,5690],{"class":5487},[5477,7605,6092],{"class":5596},[5477,7607,5600],{"class":5487},[5477,7609,7610,7613,7616,7618,7620,7622,7624],{"class":5479,"line":5576},[5477,7611,7612],{"class":5487},"    ax.set_xlabel(",[5477,7614,7615],{"class":5834},"'Індекс ознаки'",[5477,7617,5612],{"class":5487},[5477,7619,6228],{"class":5686},[5477,7621,5690],{"class":5487},[5477,7623,6233],{"class":5596},[5477,7625,5600],{"class":5487},[5477,7627,7628,7631,7634,7636,7638,7640,7642],{"class":5479,"line":5583},[5477,7629,7630],{"class":5487},"    ax.set_ylabel(",[5477,7632,7633],{"class":5834},"'Значення коефіцієнта'",[5477,7635,5612],{"class":5487},[5477,7637,6228],{"class":5686},[5477,7639,5690],{"class":5487},[5477,7641,6233],{"class":5596},[5477,7643,5600],{"class":5487},[5477,7645,7646,7649,7651,7653,7655,7658,7660,7662,7664,7666,7668,7671,7673,7675,7677,7679],{"class":5479,"line":5590},[5477,7647,7648],{"class":5487},"    ax.set_title(",[5477,7650,5953],{"class":5952},[5477,7652,6265],{"class":5834},[5477,7654,5959],{"class":5952},[5477,7656,7657],{"class":5487},"name",[5477,7659,5964],{"class":5952},[5477,7661,6265],{"class":5834},[5477,7663,5612],{"class":5487},[5477,7665,6228],{"class":5686},[5477,7667,5690],{"class":5487},[5477,7669,7670],{"class":5596},"12",[5477,7672,5612],{"class":5487},[5477,7674,6311],{"class":5686},[5477,7676,5690],{"class":5487},[5477,7678,6316],{"class":5834},[5477,7680,5600],{"class":5487},[5477,7682,7683,7686,7688,7690,7692,7694,7697,7699,7701],{"class":5479,"line":5603},[5477,7684,7685],{"class":5487},"    ax.grid(",[5477,7687,5322],{"class":5686},[5477,7689,5690],{"class":5487},[5477,7691,5693],{"class":5596},[5477,7693,5612],{"class":5487},[5477,7695,7696],{"class":5686},"axis",[5477,7698,5690],{"class":5487},[5477,7700,6244],{"class":5834},[5477,7702,5600],{"class":5487},[5477,7704,7705],{"class":5479,"line":5634},[5477,7706,5580],{"emptyLinePlaceholder":5579},[5477,7708,7709],{"class":5479,"line":5675},[5477,7710,6373],{"class":5487},[5477,7712,7713],{"class":5479,"line":5680},[5477,7714,6379],{"class":5487},[6548,7716,7717],{"v-slot:output":5472},[6553,7718],{"alt":7719,"className":7720,"src":7721},"Розподіл коефіцієнтів моделей: LinearRegression (всі ваги активні), Ridge (ваги пропорційно зменшені), Lasso (більшість коефіцієнтів строго обнулена)",[6557],"\u002Fimages\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods\u002F02.png",[5191,7723,7724],{},"Що показують результати?",[5341,7726,7727,7735,7741],{},[5302,7728,7729,7731,7732],{},[5195,7730,7364],{},": використовує всі 50 ознак, R² test = 0.72 — ",[5195,7733,7734],{},"сильне перенавчання",[5302,7736,7737,7740],{},[5195,7738,7739],{},"Ridge",": використовує всі 50 ознак, але зменшує їх, R² test = 0.89 — краще, але досі не ідеально",[5302,7742,7743,7234,7745,7748,7749],{},[5195,7744,6802],{},[5195,7746,7747],{},"обнулив 42 ознаки",", залишив лише 8, R² test = 0.92 — ",[5195,7750,7751],{},"найкраще!",[5191,7753,7754,7755,7758],{},"Lasso ",[5195,7756,7757],{},"автоматично виявив",", що більшість ознак — шум, і відкинув їх.",[7760,7761,7762,7763,7766,7767,7769],"warning",{},"Lasso може бути ",[5195,7764,7765],{},"занадто агресивним"," і обнулити корисні ознаки, якщо ",[5266,7768],{"tex":5318,":inline":5279}," занадто велике. Потрібен баланс.",[5249,7771],{},[5186,7773,7775],{"id":7774},"порівняння-ridge-vs-lasso","Порівняння Ridge vs Lasso",[6563,7777,7778,7791],{},[6566,7779,7780],{},[6569,7781,7782,7785,7788],{},[6572,7783,7784],{"align":6574},"Характеристика",[6572,7786,7787],{"align":6574},"Ridge (L2)",[6572,7789,7790],{"align":6574},"Lasso (L1)",[6589,7792,7793,7807,7818,7829,7840,7851],{},[6569,7794,7795,7797,7802],{},[6594,7796,5400],{"align":6574},[6594,7798,7799],{"align":6574},[5266,7800],{"tex":7801,":inline":5279},"\\sum w_j^2",[6594,7803,7804,7806],{"align":6574},[5266,7805],{},"{tex=\"\\sum",[6569,7808,7809,7812,7815],{},[6594,7810,7811],{"align":6574},"Обнулення ваг",[6594,7813,7814],{"align":6574},"Ні (лише зменшує)",[6594,7816,7817],{"align":6574},"Так (може обнулити)",[6569,7819,7820,7823,7826],{},[6594,7821,7822],{"align":6574},"Feature selection",[6594,7824,7825],{"align":6574},"Немає",[6594,7827,7828],{"align":6574},"Автоматичний",[6569,7830,7831,7834,7837],{},[6594,7832,7833],{"align":6574},"Коли використовувати?",[6594,7835,7836],{"align":6574},"Всі ознаки потенційно корисні",[6594,7838,7839],{"align":6574},"Багато ознак, більшість — шум",[6569,7841,7842,7845,7848],{},[6594,7843,7844],{"align":6574},"Стабільність при мультиколінеарності",[6594,7846,7847],{"align":6574},"Висока",[6594,7849,7850],{"align":6574},"Може бути нестабільним",[6569,7852,7853,7856,7859],{},[6594,7854,7855],{"align":6574},"Інтерпретованість",[6594,7857,7858],{"align":6574},"Складніше (всі ознаки в моделі)",[6594,7860,7861],{"align":6574},"Простіше (лише важливі ознаки залишились)",[5389,7863,7865],{"id":7864},"геометрична-інтерпретація","Геометрична інтерпретація",[5191,7867,7868],{},"Різниця між Ridge та Lasso стає очевидною через геометричну візуалізацію:",[5299,7870,7871,7880],{},[5302,7872,7873,7875,7876,7879],{},[5195,7874,7739],{}," (L2): область допустимих значень ваг — ",[5195,7877,7878],{},"коло\u002Fсфера",". Оптимальна точка рідко потрапляє на вісь координат → ваги не обнулюються",[5302,7881,7882,7884,7885,7888],{},[5195,7883,6802],{}," (L1): область допустимих значень ваг — ",[5195,7886,7887],{},"ромб\u002Fоктаедр",". Кути ромба лежать на осях → ваги часто обнулюються",[6731,7890,7891,7892,7895],{},"Якщо не впевнені, який метод обрати — спробуйте ",[5195,7893,7894],{},"обидва"," і порівняйте R² test через крос-валідацію.",[5249,7897],{},[5186,7899,7901],{"id":7900},"вибір-гіперпараметра-alpha","Вибір гіперпараметра alpha",[5191,7903,7904,7905,7907],{},"Як підібрати оптимальне значення ",[5266,7906],{"tex":5318,":inline":5279},"?",[5389,7909,7911],{"id":7910},"метод-1-перебір-вручну-manual-grid-search","Метод 1: Перебір вручну (Manual Grid Search)",[5457,7913,7915],{"kernel":5459,"title":7914},"alpha_tuning.ipynb",[5462,7916,7918,8406],{"execution-count":5464,"execution-time":7917},"0.35s",[5467,7919,7921],{"className":5469,"code":7920,"language":5471,"meta":5472,"style":5472},"from sklearn.model_selection import cross_val_score\n\n# Діапазон alpha для перебору\nalphas = [0.001, 0.01, 0.1, 1, 10, 100, 1000]\nridge_scores = []\nlasso_scores = []\n\nfor alpha in alphas:\n    # Ridge\n    ridge_model = Ridge(alpha=alpha)\n    ridge_cv = cross_val_score(ridge_model, X_train_scaled, y_train_full, cv=5, scoring='r2')\n    ridge_scores.append(ridge_cv.mean())\n    \n    # Lasso\n    lasso_model = Lasso(alpha=alpha, max_iter=10000)\n    lasso_cv = cross_val_score(lasso_model, X_train_scaled, y_train_full, cv=5, scoring='r2')\n    lasso_scores.append(lasso_cv.mean())\n\n# Візуалізація\nplt.figure(figsize=(10, 6))\nplt.plot(alphas, ridge_scores, marker='o', linewidth=2, label='Ridge', color='blue')\nplt.plot(alphas, lasso_scores, marker='s', linewidth=2, label='Lasso', color='orange')\nplt.xscale('log')\nplt.xlabel('Alpha (логарифмічна шкала)', fontsize=12)\nplt.ylabel('R² (крос-валідація, 5-fold)', fontsize=12)\nplt.title('Підбір оптимального alpha', fontsize=14, fontweight='bold')\nplt.legend(fontsize=11)\nplt.grid(alpha=0.3)\nplt.tight_layout()\nplt.show()\n\n# Оптимальні значення\noptimal_ridge_alpha = alphas[np.argmax(ridge_scores)]\noptimal_lasso_alpha = alphas[np.argmax(lasso_scores)]\n\nprint(f\"Оптимальний alpha для Ridge: {optimal_ridge_alpha} (R² CV = {max(ridge_scores):.4f})\")\nprint(f\"Оптимальний alpha для Lasso: {optimal_lasso_alpha} (R² CV = {max(lasso_scores):.4f})\")\n",[5474,7922,7923,7934,7938,7943,7978,7983,7988,7992,8004,8009,8019,8043,8048,8052,8057,8075,8096,8101,8105,8110,8127,8168,8207,8217,8235,8253,8280,8293,8306,8310,8314,8318,8323,8328,8333,8337,8373],{"__ignoreMap":5472},[5477,7924,7925,7927,7929,7931],{"class":5479,"line":5480},[5477,7926,5513],{"class":5483},[5477,7928,5555],{"class":5487},[5477,7930,5484],{"class":5483},[5477,7932,7933],{"class":5487}," cross_val_score\n",[5477,7935,7936],{"class":5479,"line":5497},[5477,7937,5580],{"emptyLinePlaceholder":5579},[5477,7939,7940],{"class":5479,"line":5510},[5477,7941,7942],{"class":5586},"# Діапазон alpha для перебору\n",[5477,7944,7945,7947,7950,7952,7955,7957,7959,7961,7963,7965,7967,7969,7971,7973,7976],{"class":5479,"line":5524},[5477,7946,5721],{"class":5487},[5477,7948,7949],{"class":5596},"0.001",[5477,7951,5612],{"class":5487},[5477,7953,7954],{"class":5596},"0.01",[5477,7956,5612],{"class":5487},[5477,7958,5728],{"class":5596},[5477,7960,5612],{"class":5487},[5477,7962,5464],{"class":5596},[5477,7964,5612],{"class":5487},[5477,7966,5615],{"class":5596},[5477,7968,5612],{"class":5487},[5477,7970,5620],{"class":5596},[5477,7972,5612],{"class":5487},[5477,7974,7975],{"class":5596},"1000",[5477,7977,5743],{"class":5487},[5477,7979,7980],{"class":5479,"line":5537},[5477,7981,7982],{"class":5487},"ridge_scores = []\n",[5477,7984,7985],{"class":5479,"line":5550},[5477,7986,7987],{"class":5487},"lasso_scores = []\n",[5477,7989,7990],{"class":5479,"line":5563},[5477,7991,5580],{"emptyLinePlaceholder":5579},[5477,7993,7994,7996,7999,8001],{"class":5479,"line":5576},[5477,7995,5787],{"class":5483},[5477,7997,7998],{"class":5487}," alpha ",[5477,8000,5793],{"class":5483},[5477,8002,8003],{"class":5487}," alphas:\n",[5477,8005,8006],{"class":5479,"line":5583},[5477,8007,8008],{"class":5586},"    # Ridge\n",[5477,8010,8011,8014,8016],{"class":5479,"line":5590},[5477,8012,8013],{"class":5487},"    ridge_model = Ridge(",[5477,8015,5322],{"class":5686},[5477,8017,8018],{"class":5487},"=alpha)\n",[5477,8020,8021,8024,8027,8029,8031,8033,8036,8038,8041],{"class":5479,"line":5603},[5477,8022,8023],{"class":5487},"    ridge_cv = cross_val_score(ridge_model, X_train_scaled, y_train_full, ",[5477,8025,8026],{"class":5686},"cv",[5477,8028,5690],{"class":5487},[5477,8030,5646],{"class":5596},[5477,8032,5612],{"class":5487},[5477,8034,8035],{"class":5686},"scoring",[5477,8037,5690],{"class":5487},[5477,8039,8040],{"class":5834},"'r2'",[5477,8042,5600],{"class":5487},[5477,8044,8045],{"class":5479,"line":5634},[5477,8046,8047],{"class":5487},"    ridge_scores.append(ridge_cv.mean())\n",[5477,8049,8050],{"class":5479,"line":5675},[5477,8051,5973],{"class":5487},[5477,8053,8054],{"class":5479,"line":5680},[5477,8055,8056],{"class":5586},"    # Lasso\n",[5477,8058,8059,8062,8064,8067,8069,8071,8073],{"class":5479,"line":5707},[5477,8060,8061],{"class":5487},"    lasso_model = Lasso(",[5477,8063,5322],{"class":5686},[5477,8065,8066],{"class":5487},"=alpha, ",[5477,8068,7133],{"class":5686},[5477,8070,5690],{"class":5487},[5477,8072,7138],{"class":5596},[5477,8074,5600],{"class":5487},[5477,8076,8077,8080,8082,8084,8086,8088,8090,8092,8094],{"class":5479,"line":5712},[5477,8078,8079],{"class":5487},"    lasso_cv = cross_val_score(lasso_model, X_train_scaled, y_train_full, ",[5477,8081,8026],{"class":5686},[5477,8083,5690],{"class":5487},[5477,8085,5646],{"class":5596},[5477,8087,5612],{"class":5487},[5477,8089,8035],{"class":5686},[5477,8091,5690],{"class":5487},[5477,8093,8040],{"class":5834},[5477,8095,5600],{"class":5487},[5477,8097,8098],{"class":5479,"line":5718},[5477,8099,8100],{"class":5487},"    lasso_scores.append(lasso_cv.mean())\n",[5477,8102,8103],{"class":5479,"line":5746},[5477,8104,5580],{"emptyLinePlaceholder":5579},[5477,8106,8107],{"class":5479,"line":5752},[5477,8108,8109],{"class":5586},"# Візуалізація\n",[5477,8111,8112,8114,8116,8118,8120,8122,8125],{"class":5479,"line":5757},[5477,8113,5760],{"class":5487},[5477,8115,5763],{"class":5686},[5477,8117,5766],{"class":5487},[5477,8119,5615],{"class":5596},[5477,8121,5612],{"class":5487},[5477,8123,8124],{"class":5596},"6",[5477,8126,5776],{"class":5487},[5477,8128,8129,8132,8135,8137,8140,8142,8144,8146,8148,8150,8152,8154,8157,8159,8161,8163,8166],{"class":5479,"line":5779},[5477,8130,8131],{"class":5487},"plt.plot(alphas, ridge_scores, ",[5477,8133,8134],{"class":5686},"marker",[5477,8136,5690],{"class":5487},[5477,8138,8139],{"class":5834},"'o'",[5477,8141,5612],{"class":5487},[5477,8143,6207],{"class":5686},[5477,8145,5690],{"class":5487},[5477,8147,5652],{"class":5596},[5477,8149,5612],{"class":5487},[5477,8151,6106],{"class":5686},[5477,8153,5690],{"class":5487},[5477,8155,8156],{"class":5834},"'Ridge'",[5477,8158,5612],{"class":5487},[5477,8160,6157],{"class":5686},[5477,8162,5690],{"class":5487},[5477,8164,8165],{"class":5834},"'blue'",[5477,8167,5600],{"class":5487},[5477,8169,8170,8173,8175,8177,8180,8182,8184,8186,8188,8190,8192,8194,8197,8199,8201,8203,8205],{"class":5479,"line":5784},[5477,8171,8172],{"class":5487},"plt.plot(alphas, lasso_scores, ",[5477,8174,8134],{"class":5686},[5477,8176,5690],{"class":5487},[5477,8178,8179],{"class":5834},"'s'",[5477,8181,5612],{"class":5487},[5477,8183,6207],{"class":5686},[5477,8185,5690],{"class":5487},[5477,8187,5652],{"class":5596},[5477,8189,5612],{"class":5487},[5477,8191,6106],{"class":5686},[5477,8193,5690],{"class":5487},[5477,8195,8196],{"class":5834},"'Lasso'",[5477,8198,5612],{"class":5487},[5477,8200,6157],{"class":5686},[5477,8202,5690],{"class":5487},[5477,8204,6162],{"class":5834},[5477,8206,5600],{"class":5487},[5477,8208,8209,8212,8215],{"class":5479,"line":5808},[5477,8210,8211],{"class":5487},"plt.xscale(",[5477,8213,8214],{"class":5834},"'log'",[5477,8216,5600],{"class":5487},[5477,8218,8219,8222,8225,8227,8229,8231,8233],{"class":5479,"line":5822},[5477,8220,8221],{"class":5487},"plt.xlabel(",[5477,8223,8224],{"class":5834},"'Alpha (логарифмічна шкала)'",[5477,8226,5612],{"class":5487},[5477,8228,6228],{"class":5686},[5477,8230,5690],{"class":5487},[5477,8232,7670],{"class":5596},[5477,8234,5600],{"class":5487},[5477,8236,8237,8240,8243,8245,8247,8249,8251],{"class":5479,"line":5828},[5477,8238,8239],{"class":5487},"plt.ylabel(",[5477,8241,8242],{"class":5834},"'R² (крос-валідація, 5-fold)'",[5477,8244,5612],{"class":5487},[5477,8246,6228],{"class":5686},[5477,8248,5690],{"class":5487},[5477,8250,7670],{"class":5596},[5477,8252,5600],{"class":5487},[5477,8254,8255,8258,8261,8263,8265,8267,8270,8272,8274,8276,8278],{"class":5479,"line":5851},[5477,8256,8257],{"class":5487},"plt.title(",[5477,8259,8260],{"class":5834},"'Підбір оптимального alpha'",[5477,8262,5612],{"class":5487},[5477,8264,6228],{"class":5686},[5477,8266,5690],{"class":5487},[5477,8268,8269],{"class":5596},"14",[5477,8271,5612],{"class":5487},[5477,8273,6311],{"class":5686},[5477,8275,5690],{"class":5487},[5477,8277,6316],{"class":5834},[5477,8279,5600],{"class":5487},[5477,8281,8282,8285,8287,8289,8291],{"class":5479,"line":5862},[5477,8283,8284],{"class":5487},"plt.legend(",[5477,8286,6228],{"class":5686},[5477,8288,5690],{"class":5487},[5477,8290,6233],{"class":5596},[5477,8292,5600],{"class":5487},[5477,8294,8295,8298,8300,8302,8304],{"class":5479,"line":5873},[5477,8296,8297],{"class":5487},"plt.grid(",[5477,8299,5322],{"class":5686},[5477,8301,5690],{"class":5487},[5477,8303,5693],{"class":5596},[5477,8305,5600],{"class":5487},[5477,8307,8308],{"class":5479,"line":5879},[5477,8309,6373],{"class":5487},[5477,8311,8312],{"class":5479,"line":5888},[5477,8313,6379],{"class":5487},[5477,8315,8316],{"class":5479,"line":5896},[5477,8317,5580],{"emptyLinePlaceholder":5579},[5477,8319,8320],{"class":5479,"line":5901},[5477,8321,8322],{"class":5586},"# Оптимальні значення\n",[5477,8324,8325],{"class":5479,"line":5918},[5477,8326,8327],{"class":5487},"optimal_ridge_alpha = alphas[np.argmax(ridge_scores)]\n",[5477,8329,8330],{"class":5479,"line":5927},[5477,8331,8332],{"class":5487},"optimal_lasso_alpha = alphas[np.argmax(lasso_scores)]\n",[5477,8334,8335],{"class":5479,"line":5942},[5477,8336,5580],{"emptyLinePlaceholder":5579},[5477,8338,8339,8341,8343,8345,8348,8350,8353,8355,8358,8360,8363,8366,8368,8371],{"class":5479,"line":5947},[5477,8340,6390],{"class":5796},[5477,8342,6393],{"class":5487},[5477,8344,5953],{"class":5952},[5477,8346,8347],{"class":5834},"\"Оптимальний alpha для Ridge: ",[5477,8349,5959],{"class":5952},[5477,8351,8352],{"class":5487},"optimal_ridge_alpha",[5477,8354,5964],{"class":5952},[5477,8356,8357],{"class":5834}," (R² CV = ",[5477,8359,5959],{"class":5952},[5477,8361,8362],{"class":5796},"max",[5477,8364,8365],{"class":5487},"(ridge_scores)",[5477,8367,7245],{"class":5952},[5477,8369,8370],{"class":5834},")\"",[5477,8372,5600],{"class":5487},[5477,8374,8375,8377,8379,8381,8384,8386,8389,8391,8393,8395,8397,8400,8402,8404],{"class":5479,"line":5970},[5477,8376,6390],{"class":5796},[5477,8378,6393],{"class":5487},[5477,8380,5953],{"class":5952},[5477,8382,8383],{"class":5834},"\"Оптимальний alpha для Lasso: ",[5477,8385,5959],{"class":5952},[5477,8387,8388],{"class":5487},"optimal_lasso_alpha",[5477,8390,5964],{"class":5952},[5477,8392,8357],{"class":5834},[5477,8394,5959],{"class":5952},[5477,8396,8362],{"class":5796},[5477,8398,8399],{"class":5487},"(lasso_scores)",[5477,8401,7245],{"class":5952},[5477,8403,8370],{"class":5834},[5477,8405,5600],{"class":5487},[6548,8407,8408,8415,8418],{"v-slot:output":5472},[5191,8409,8410],{},[6553,8411],{"alt":8412,"className":8413,"src":8414},"Криві налаштування параметра alpha для Ridge та Lasso регресій за результатами 5-fold крос-валідації",[6557],"\u002Fimages\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods\u002F03.png",[5191,8416,8417],{},"Підбір оптимального значення $\\alpha$ за допомогою 5-Fold крос-валідації:",[6563,8419,8420,8435],{},[6566,8421,8422],{},[6569,8423,8424,8426,8429,8432],{},[6572,8425,7345],{"align":6574},[6572,8427,8428],{"align":6574},"Оптимальний $\\alpha$",[6572,8430,8431],{"align":6574},"Найкращий середній $R^2$ (5-Fold CV)",[6572,8433,8434],{"align":6574},"Характер регуляризації",[6589,8436,8437,8455],{},[6569,8438,8439,8443,8447,8452],{},[6594,8440,8441],{"align":6574},[5195,8442,7739],{},[6594,8444,8445],{"align":6574},[5474,8446,6654],{},[6594,8448,8449],{"align":6574},[5195,8450,8451],{},"0.8935",[6594,8453,8454],{"align":6574},"М'яке стискання коефіцієнтів",[6569,8456,8457,8461,8465,8470],{},[6594,8458,8459],{"align":6574},[5195,8460,6802],{},[6594,8462,8463],{"align":6574},[5474,8464,6635],{},[6594,8466,8467],{"align":6574},[5195,8468,8469],{},"0.9128",[6594,8471,8472],{"align":6574},"Розрідження та селекція ознак",[5191,8474,6688],{},[5299,8476,8477,8483,8489],{},[5302,8478,8479,8482],{},[5195,8480,8481],{},"Малий alpha"," (0.001-0.01): слабка регуляризація → перенавчання",[5302,8484,8485,8488],{},[5195,8486,8487],{},"Оптимальний alpha"," (1-10): баланс між складністю та точністю",[5302,8490,8491,8494],{},[5195,8492,8493],{},"Великий alpha"," (100-1000): надмірна регуляризація → недонавчання, модель стає занадто простою",[5249,8496],{},[5186,8498,8500],{"id":8499},"ridgecv-та-lassocv","RidgeCV та LassoCV",[5191,8502,8503,8504,8507,8508,5291],{},"scikit-learn надає зручні класи з ",[5195,8505,8506],{},"вбудованою крос-валідацією"," для автоматичного підбору ",[5266,8509],{"tex":5318,":inline":5279},[5457,8511,8513],{"kernel":5459,"title":8512},"ridge_lasso_cv.ipynb",[5462,8514,8516,8782],{"execution-count":5464,"execution-time":8515},"0.12s",[5467,8517,8519],{"className":5469,"code":8518,"language":5471,"meta":5472,"style":5472},"from sklearn.linear_model import RidgeCV, LassoCV\n\n# RidgeCV — автоматичний підбір alpha через CV\nridge_cv = RidgeCV(alphas=[0.001, 0.01, 0.1, 1, 10, 100, 1000], cv=5)\nridge_cv.fit(X_train_scaled, y_train_full)\n\nprint(f\"Оптимальний alpha для Ridge: {ridge_cv.alpha_}\")\nprint(f\"R² test: {ridge_cv.score(X_test_scaled, y_test_full):.4f}\")\n\n# LassoCV — автоматичний підбір alpha через CV\nlasso_cv = LassoCV(alphas=[0.001, 0.01, 0.1, 1, 10, 100], cv=5, max_iter=10000)\nlasso_cv.fit(X_train_scaled, y_train_full)\n\nprint(f\"\\nОптимальний alpha для Lasso: {lasso_cv.alpha_:.4f}\")\nprint(f\"R² test: {lasso_cv.score(X_test_scaled, y_test_full):.4f}\")\nprint(f\"Кількість відібраних ознак: {np.sum(np.abs(lasso_cv.coef_) > 1e-5)}\")\n",[5474,8520,8521,8532,8536,8541,8589,8594,8598,8619,8641,8645,8650,8699,8704,8708,8734,8755],{"__ignoreMap":5472},[5477,8522,8523,8525,8527,8529],{"class":5479,"line":5480},[5477,8524,5513],{"class":5483},[5477,8526,5516],{"class":5487},[5477,8528,5484],{"class":5483},[5477,8530,8531],{"class":5487}," RidgeCV, LassoCV\n",[5477,8533,8534],{"class":5479,"line":5497},[5477,8535,5580],{"emptyLinePlaceholder":5579},[5477,8537,8538],{"class":5479,"line":5510},[5477,8539,8540],{"class":5586},"# RidgeCV — автоматичний підбір alpha через CV\n",[5477,8542,8543,8546,8549,8552,8554,8556,8558,8560,8562,8564,8566,8568,8570,8572,8574,8576,8578,8581,8583,8585,8587],{"class":5479,"line":5524},[5477,8544,8545],{"class":5487},"ridge_cv = RidgeCV(",[5477,8547,8548],{"class":5686},"alphas",[5477,8550,8551],{"class":5487},"=[",[5477,8553,7949],{"class":5596},[5477,8555,5612],{"class":5487},[5477,8557,7954],{"class":5596},[5477,8559,5612],{"class":5487},[5477,8561,5728],{"class":5596},[5477,8563,5612],{"class":5487},[5477,8565,5464],{"class":5596},[5477,8567,5612],{"class":5487},[5477,8569,5615],{"class":5596},[5477,8571,5612],{"class":5487},[5477,8573,5620],{"class":5596},[5477,8575,5612],{"class":5487},[5477,8577,7975],{"class":5596},[5477,8579,8580],{"class":5487},"], ",[5477,8582,8026],{"class":5686},[5477,8584,5690],{"class":5487},[5477,8586,5646],{"class":5596},[5477,8588,5600],{"class":5487},[5477,8590,8591],{"class":5479,"line":5537},[5477,8592,8593],{"class":5487},"ridge_cv.fit(X_train_scaled, y_train_full)\n",[5477,8595,8596],{"class":5479,"line":5550},[5477,8597,5580],{"emptyLinePlaceholder":5579},[5477,8599,8600,8602,8604,8606,8608,8610,8613,8615,8617],{"class":5479,"line":5563},[5477,8601,6390],{"class":5796},[5477,8603,6393],{"class":5487},[5477,8605,5953],{"class":5952},[5477,8607,8347],{"class":5834},[5477,8609,5959],{"class":5952},[5477,8611,8612],{"class":5487},"ridge_cv.alpha_",[5477,8614,5964],{"class":5952},[5477,8616,6396],{"class":5834},[5477,8618,5600],{"class":5487},[5477,8620,8621,8623,8625,8627,8630,8632,8635,8637,8639],{"class":5479,"line":5576},[5477,8622,6390],{"class":5796},[5477,8624,6393],{"class":5487},[5477,8626,5953],{"class":5952},[5477,8628,8629],{"class":5834},"\"R² test: ",[5477,8631,5959],{"class":5952},[5477,8633,8634],{"class":5487},"ridge_cv.score(X_test_scaled, y_test_full)",[5477,8636,7245],{"class":5952},[5477,8638,6396],{"class":5834},[5477,8640,5600],{"class":5487},[5477,8642,8643],{"class":5479,"line":5583},[5477,8644,5580],{"emptyLinePlaceholder":5579},[5477,8646,8647],{"class":5479,"line":5590},[5477,8648,8649],{"class":5586},"# LassoCV — автоматичний підбір alpha через CV\n",[5477,8651,8652,8655,8657,8659,8661,8663,8665,8667,8669,8671,8673,8675,8677,8679,8681,8683,8685,8687,8689,8691,8693,8695,8697],{"class":5479,"line":5603},[5477,8653,8654],{"class":5487},"lasso_cv = LassoCV(",[5477,8656,8548],{"class":5686},[5477,8658,8551],{"class":5487},[5477,8660,7949],{"class":5596},[5477,8662,5612],{"class":5487},[5477,8664,7954],{"class":5596},[5477,8666,5612],{"class":5487},[5477,8668,5728],{"class":5596},[5477,8670,5612],{"class":5487},[5477,8672,5464],{"class":5596},[5477,8674,5612],{"class":5487},[5477,8676,5615],{"class":5596},[5477,8678,5612],{"class":5487},[5477,8680,5620],{"class":5596},[5477,8682,8580],{"class":5487},[5477,8684,8026],{"class":5686},[5477,8686,5690],{"class":5487},[5477,8688,5646],{"class":5596},[5477,8690,5612],{"class":5487},[5477,8692,7133],{"class":5686},[5477,8694,5690],{"class":5487},[5477,8696,7138],{"class":5596},[5477,8698,5600],{"class":5487},[5477,8700,8701],{"class":5479,"line":5634},[5477,8702,8703],{"class":5487},"lasso_cv.fit(X_train_scaled, y_train_full)\n",[5477,8705,8706],{"class":5479,"line":5675},[5477,8707,5580],{"emptyLinePlaceholder":5579},[5477,8709,8710,8712,8714,8716,8718,8720,8723,8725,8728,8730,8732],{"class":5479,"line":5680},[5477,8711,6390],{"class":5796},[5477,8713,6393],{"class":5487},[5477,8715,5953],{"class":5952},[5477,8717,6396],{"class":5834},[5477,8719,6275],{"class":6274},[5477,8721,8722],{"class":5834},"Оптимальний alpha для Lasso: ",[5477,8724,5959],{"class":5952},[5477,8726,8727],{"class":5487},"lasso_cv.alpha_",[5477,8729,7245],{"class":5952},[5477,8731,6396],{"class":5834},[5477,8733,5600],{"class":5487},[5477,8735,8736,8738,8740,8742,8744,8746,8749,8751,8753],{"class":5479,"line":5707},[5477,8737,6390],{"class":5796},[5477,8739,6393],{"class":5487},[5477,8741,5953],{"class":5952},[5477,8743,8629],{"class":5834},[5477,8745,5959],{"class":5952},[5477,8747,8748],{"class":5487},"lasso_cv.score(X_test_scaled, y_test_full)",[5477,8750,7245],{"class":5952},[5477,8752,6396],{"class":5834},[5477,8754,5600],{"class":5487},[5477,8756,8757,8759,8761,8763,8766,8768,8771,8773,8776,8778,8780],{"class":5479,"line":5712},[5477,8758,6390],{"class":5796},[5477,8760,6393],{"class":5487},[5477,8762,5953],{"class":5952},[5477,8764,8765],{"class":5834},"\"Кількість відібраних ознак: ",[5477,8767,5959],{"class":5952},[5477,8769,8770],{"class":5487},"np.sum(np.abs(lasso_cv.coef_) > ",[5477,8772,7207],{"class":5596},[5477,8774,8775],{"class":5487},")",[5477,8777,5964],{"class":5952},[5477,8779,6396],{"class":5834},[5477,8781,5600],{"class":5487},[6548,8783,8784,8794],{"v-slot:output":5472},[5191,8785,8786,8787,8790,8791,5291],{},"Результати автоматичного підбору $\\alpha$ через ",[5474,8788,8789],{},"RidgeCV"," та ",[5474,8792,8793],{},"LassoCV",[6563,8795,8796,8814],{},[6566,8797,8798],{},[6569,8799,8800,8802,8805,8808,8811],{},[6572,8801,7345],{"align":6574},[6572,8803,8804],{"align":6574},"Підібраний $\\alpha$",[6572,8806,8807],{"align":6574},"$R^2$ Test",[6572,8809,8810],{"align":6574},"Кількість збережених ознак",[6572,8812,8813],{"align":6574},"Оцінка результату",[6589,8815,8816,8835],{},[6569,8817,8818,8822,8826,8830,8832],{},[6594,8819,8820],{"align":6574},[5195,8821,8789],{},[6594,8823,8824],{"align":6574},[5474,8825,6654],{},[6594,8827,8828],{"align":6574},[5195,8829,7389],{},[6594,8831,7373],{"align":6574},[6594,8833,8834],{"align":6574},"Стабільна модель без видалення ознак",[6569,8836,8837,8841,8846,8850,8854],{},[6594,8838,8839],{"align":6574},[5195,8840,8793],{},[6594,8842,8843],{"align":6574},[5474,8844,8845],{},"0.9550",[6594,8847,8848],{"align":6574},[5195,8849,7407],{},[6594,8851,8852],{"align":6574},[5195,8853,7412],{},[6594,8855,8856],{"align":6574},"🎯 Автоматично відібрано 8 найсильніших ознак",[6731,8858,8859,8790,8861,8863,8864,8866],{},[5474,8860,8789],{},[5474,8862,8793],{}," — найпростіший спосіб підбору ",[5266,8865],{"tex":5318,":inline":5279},". Використовуйте їх замість ручного перебору!",[5249,8868],{},[5186,8870,8872],{"id":8871},"elastic-net-гібрид-ridge-lasso","Elastic Net — гібрид Ridge + Lasso",[5191,8874,8875,8876,8879],{},"Існує ще один метод регуляризації — ",[5195,8877,8878],{},"Elastic Net",", який комбінує L1 та L2 штрафи:",[5266,8881],{"tex":8882},"\\text{Loss}_{\\text{ElasticNet}} = \\text{MSE} + \\alpha \\cdot \\left( \\rho \\sum |w_j| + \\frac{1-\\rho}{2} \\sum w_j^2 \\right)",[5191,8884,8885,8886,5319,8889,8892],{},"Де ",[5266,8887],{"tex":8888,":inline":5279},"\\rho",[5474,8890,8891],{},"l1_ratio",") контролює баланс між L1 (Lasso) та L2 (Ridge):",[5299,8894,8895,8901,8907],{},[5302,8896,8897,8900],{},[5266,8898],{"tex":8899,":inline":5279},"\\rho = 1"," → чистий Lasso",[5302,8902,8903,8906],{},[5266,8904],{"tex":8905,":inline":5279},"\\rho = 0"," → чистий Ridge",[5302,8908,8909,8912],{},[5266,8910],{"tex":8911,":inline":5279},"\\rho = 0.5"," → рівна вага обох штрафів",[5366,8914,8915,8916,8919],{},"Elastic Net корисний, коли ознаки ",[5195,8917,8918],{},"сильно корельовані"," (мультиколінеарність) — Lasso може бути нестабільним у таких випадках, а Elastic Net додає стабільності Ridge.",[5467,8921,8923],{"className":5469,"code":8922,"language":5471,"meta":5472,"style":5472},"from sklearn.linear_model import ElasticNet\n\nelastic_model = ElasticNet(alpha=1.0, l1_ratio=0.5, max_iter=10000)\nelastic_model.fit(X_train_scaled, y_train_full)\n",[5474,8924,8925,8936,8940,8969],{"__ignoreMap":5472},[5477,8926,8927,8929,8931,8933],{"class":5479,"line":5480},[5477,8928,5513],{"class":5483},[5477,8930,5516],{"class":5487},[5477,8932,5484],{"class":5483},[5477,8934,8935],{"class":5487}," ElasticNet\n",[5477,8937,8938],{"class":5479,"line":5497},[5477,8939,5580],{"emptyLinePlaceholder":5579},[5477,8941,8942,8945,8947,8949,8951,8953,8955,8957,8959,8961,8963,8965,8967],{"class":5479,"line":5510},[5477,8943,8944],{"class":5487},"elastic_model = ElasticNet(",[5477,8946,5322],{"class":5686},[5477,8948,5690],{"class":5487},[5477,8950,6635],{"class":5596},[5477,8952,5612],{"class":5487},[5477,8954,8891],{"class":5686},[5477,8956,5690],{"class":5487},[5477,8958,6092],{"class":5596},[5477,8960,5612],{"class":5487},[5477,8962,7133],{"class":5686},[5477,8964,5690],{"class":5487},[5477,8966,7138],{"class":5596},[5477,8968,5600],{"class":5487},[5477,8970,8971],{"class":5479,"line":5524},[5477,8972,8973],{"class":5487},"elastic_model.fit(X_train_scaled, y_train_full)\n",[5191,8975,8976],{},"У рамках цього курсу ми не будемо детально розглядати Elastic Net, але важливо знати про його існування.",[5249,8978],{},[5186,8980,8982],{"id":8981},"практичні-приклади-регуляризації","Практичні приклади регуляризації",[5191,8984,8985],{},"Щоб краще зрозуміти, як Ridge та Lasso працюють на різних типах даних, розглянемо кілька практичних сценаріїв.",[5389,8987,8989],{"id":8988},"приклад-1-регуляризація-на-поліноміальних-ознаках","Приклад 1: Регуляризація на поліноміальних ознаках",[5191,8991,8992],{},"Повернемось до прикладу з попередньої статті — поліном високого ступеня, що перенавчується.",[5457,8994,8996],{"kernel":5459,"title":8995},"regularization_polynomial.ipynb",[5462,8997,8999,9952],{"execution-count":5464,"execution-time":8998},"0.28s",[5467,9000,9002],{"className":5469,"code":9001,"language":5471,"meta":5472,"style":5472},"import numpy as np\nimport matplotlib.pyplot as plt\nfrom sklearn.pipeline import Pipeline\nfrom sklearn.preprocessing import PolynomialFeatures, StandardScaler\nfrom sklearn.linear_model import LinearRegression, Ridge, Lasso\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.metrics import r2_score, mean_squared_error\n\n# Генерація даних (квадратична залежність)\nrng = np.random.default_rng(42)\nX = np.linspace(0, 10, 100).reshape(-1, 1)\ny = 30 + 5*X.ravel() + 2*X.ravel()**2 + rng.normal(0, 10, 100)\n\nX_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n\n# Порівняємо моделі на поліномі ступеня 12\ndegree = 12\n\nmodels = {\n    'LinearRegression': Pipeline([\n        ('poly', PolynomialFeatures(degree=degree)),\n        ('scaler', StandardScaler()),\n        ('regressor', LinearRegression())\n    ]),\n    'Ridge (α=10)': Pipeline([\n        ('poly', PolynomialFeatures(degree=degree)),\n        ('scaler', StandardScaler()),\n        ('regressor', Ridge(alpha=10))\n    ]),\n    'Lasso (α=1)': Pipeline([\n        ('poly', PolynomialFeatures(degree=degree)),\n        ('scaler', StandardScaler()),\n        ('regressor', Lasso(alpha=1, max_iter=10000))\n    ])\n}\n\n# Навчання та оцінка\nresults = {}\nplt.figure(figsize=(15, 5))\n\nfor i, (name, model) in enumerate(models.items(), 1):\n    model.fit(X_train, y_train)\n    \n    y_train_pred = model.predict(X_train)\n    y_test_pred = model.predict(X_test)\n    \n    r2_train = r2_score(y_train, y_train_pred)\n    r2_test = r2_score(y_test, y_test_pred)\n    \n    results[name] = {\n        'R² train': r2_train,\n        'R² test': r2_test,\n        'Gap': r2_train - r2_test\n    }\n    \n    # Візуалізація\n    X_line = np.linspace(0, 10, 300).reshape(-1, 1)\n    y_line = model.predict(X_line)\n    \n    plt.subplot(1, 3, i)\n    plt.scatter(X_train, y_train, alpha=0.5, s=30, label='Train', edgecolors='k', linewidths=0.5)\n    plt.scatter(X_test, y_test, alpha=0.5, s=30, color='orange', label='Test', edgecolors='k', linewidths=0.5)\n    plt.plot(X_line, y_line, color='red', linewidth=2.5)\n    plt.xlabel('X', fontsize=11)\n    plt.ylabel('y', fontsize=11)\n    plt.title(f'{name}\\nR² train={r2_train:.3f}, test={r2_test:.3f}', fontsize=11, fontweight='bold')\n    plt.legend(fontsize=10)\n    plt.grid(alpha=0.3)\n    plt.ylim(0, 250)\n\nplt.tight_layout()\nplt.show()\n\n# Порівняльна таблиця\nprint(f\"\\nПорівняння моделей на поліномі ступеня {degree}:\")\nprint(f\"{'Модель':\u003C25} {'R² train':\u003C12} {'R² test':\u003C12} {'Gap':\u003C10}\")\nprint(\"-\" * 65)\nfor name, metrics in results.items():\n    print(f\"{name:\u003C25} {metrics['R² train']:\u003C12.4f} {metrics['R² test']:\u003C12.4f} {metrics['Gap']:\u003C10.4f}\")\n\nprint(\"\\n✅ Ridge та Lasso успішно зменшили перенавчання!\")\n",[5474,9003,9004,9014,9024,9034,9044,9055,9065,9076,9080,9085,9093,9117,9149,9153,9173,9177,9182,9190,9194,9198,9205,9219,9227,9235,9240,9247,9259,9267,9283,9287,9294,9306,9314,9339,9344,9348,9352,9357,9361,9377,9381,9399,9403,9407,9412,9417,9421,9426,9431,9435,9440,9447,9454,9462,9467,9471,9475,9499,9503,9507,9519,9563,9615,9635,9651,9667,9719,9731,9744,9757,9762,9767,9772,9777,9783,9810,9852,9868,9880,9931,9936],{"__ignoreMap":5472},[5477,9005,9006,9008,9010,9012],{"class":5479,"line":5480},[5477,9007,5484],{"class":5483},[5477,9009,5488],{"class":5487},[5477,9011,5491],{"class":5483},[5477,9013,5494],{"class":5487},[5477,9015,9016,9018,9020,9022],{"class":5479,"line":5497},[5477,9017,5484],{"class":5483},[5477,9019,5502],{"class":5487},[5477,9021,5491],{"class":5483},[5477,9023,5507],{"class":5487},[5477,9025,9026,9028,9030,9032],{"class":5479,"line":5510},[5477,9027,5513],{"class":5483},[5477,9029,5542],{"class":5487},[5477,9031,5484],{"class":5483},[5477,9033,5547],{"class":5487},[5477,9035,9036,9038,9040,9042],{"class":5479,"line":5524},[5477,9037,5513],{"class":5483},[5477,9039,5529],{"class":5487},[5477,9041,5484],{"class":5483},[5477,9043,5534],{"class":5487},[5477,9045,9046,9048,9050,9052],{"class":5479,"line":5537},[5477,9047,5513],{"class":5483},[5477,9049,5516],{"class":5487},[5477,9051,5484],{"class":5483},[5477,9053,9054],{"class":5487}," LinearRegression, Ridge, Lasso\n",[5477,9056,9057,9059,9061,9063],{"class":5479,"line":5550},[5477,9058,5513],{"class":5483},[5477,9060,5555],{"class":5487},[5477,9062,5484],{"class":5483},[5477,9064,5560],{"class":5487},[5477,9066,9067,9069,9071,9073],{"class":5479,"line":5563},[5477,9068,5513],{"class":5483},[5477,9070,5568],{"class":5487},[5477,9072,5484],{"class":5483},[5477,9074,9075],{"class":5487}," r2_score, mean_squared_error\n",[5477,9077,9078],{"class":5479,"line":5576},[5477,9079,5580],{"emptyLinePlaceholder":5579},[5477,9081,9082],{"class":5479,"line":5583},[5477,9083,9084],{"class":5586},"# Генерація даних (квадратична залежність)\n",[5477,9086,9087,9089,9091],{"class":5479,"line":5590},[5477,9088,5593],{"class":5487},[5477,9090,5597],{"class":5596},[5477,9092,5600],{"class":5487},[5477,9094,9095,9097,9099,9101,9103,9105,9107,9109,9111,9113,9115],{"class":5479,"line":5603},[5477,9096,5606],{"class":5487},[5477,9098,5609],{"class":5596},[5477,9100,5612],{"class":5487},[5477,9102,5615],{"class":5596},[5477,9104,5612],{"class":5487},[5477,9106,5620],{"class":5596},[5477,9108,5623],{"class":5487},[5477,9110,5464],{"class":5596},[5477,9112,5612],{"class":5487},[5477,9114,5464],{"class":5596},[5477,9116,5600],{"class":5487},[5477,9118,9119,9121,9123,9125,9127,9129,9131,9133,9135,9137,9139,9141,9143,9145,9147],{"class":5479,"line":5634},[5477,9120,5637],{"class":5487},[5477,9122,5640],{"class":5596},[5477,9124,5643],{"class":5487},[5477,9126,5646],{"class":5596},[5477,9128,5649],{"class":5487},[5477,9130,5652],{"class":5596},[5477,9132,5655],{"class":5487},[5477,9134,5652],{"class":5596},[5477,9136,5660],{"class":5487},[5477,9138,5609],{"class":5596},[5477,9140,5612],{"class":5487},[5477,9142,5615],{"class":5596},[5477,9144,5612],{"class":5487},[5477,9146,5620],{"class":5596},[5477,9148,5600],{"class":5487},[5477,9150,9151],{"class":5479,"line":5675},[5477,9152,5580],{"emptyLinePlaceholder":5579},[5477,9154,9155,9157,9159,9161,9163,9165,9167,9169,9171],{"class":5479,"line":5680},[5477,9156,5683],{"class":5487},[5477,9158,5687],{"class":5686},[5477,9160,5690],{"class":5487},[5477,9162,5693],{"class":5596},[5477,9164,5612],{"class":5487},[5477,9166,5698],{"class":5686},[5477,9168,5690],{"class":5487},[5477,9170,5597],{"class":5596},[5477,9172,5600],{"class":5487},[5477,9174,9175],{"class":5479,"line":5707},[5477,9176,5580],{"emptyLinePlaceholder":5579},[5477,9178,9179],{"class":5479,"line":5712},[5477,9180,9181],{"class":5586},"# Порівняємо моделі на поліномі ступеня 12\n",[5477,9183,9184,9187],{"class":5479,"line":5718},[5477,9185,9186],{"class":5487},"degree = ",[5477,9188,9189],{"class":5596},"12\n",[5477,9191,9192],{"class":5479,"line":5746},[5477,9193,5580],{"emptyLinePlaceholder":5579},[5477,9195,9196],{"class":5479,"line":5752},[5477,9197,7089],{"class":5487},[5477,9199,9200,9202],{"class":5479,"line":5757},[5477,9201,7094],{"class":5834},[5477,9203,9204],{"class":5487},": Pipeline([\n",[5477,9206,9207,9210,9212,9214,9216],{"class":5479,"line":5779},[5477,9208,9209],{"class":5487},"        (",[5477,9211,5835],{"class":5834},[5477,9213,5838],{"class":5487},[5477,9215,5841],{"class":5686},[5477,9217,9218],{"class":5487},"=degree)),\n",[5477,9220,9221,9223,9225],{"class":5479,"line":5784},[5477,9222,9209],{"class":5487},[5477,9224,5856],{"class":5834},[5477,9226,5859],{"class":5487},[5477,9228,9229,9231,9233],{"class":5479,"line":5808},[5477,9230,9209],{"class":5487},[5477,9232,5867],{"class":5834},[5477,9234,5870],{"class":5487},[5477,9236,9237],{"class":5479,"line":5822},[5477,9238,9239],{"class":5487},"    ]),\n",[5477,9241,9242,9245],{"class":5479,"line":5828},[5477,9243,9244],{"class":5834},"    'Ridge (α=10)'",[5477,9246,9204],{"class":5487},[5477,9248,9249,9251,9253,9255,9257],{"class":5479,"line":5851},[5477,9250,9209],{"class":5487},[5477,9252,5835],{"class":5834},[5477,9254,5838],{"class":5487},[5477,9256,5841],{"class":5686},[5477,9258,9218],{"class":5487},[5477,9260,9261,9263,9265],{"class":5479,"line":5862},[5477,9262,9209],{"class":5487},[5477,9264,5856],{"class":5834},[5477,9266,5859],{"class":5487},[5477,9268,9269,9271,9273,9275,9277,9279,9281],{"class":5479,"line":5873},[5477,9270,9209],{"class":5487},[5477,9272,5867],{"class":5834},[5477,9274,5934],{"class":5487},[5477,9276,5322],{"class":5686},[5477,9278,5690],{"class":5487},[5477,9280,5615],{"class":5596},[5477,9282,5776],{"class":5487},[5477,9284,9285],{"class":5479,"line":5879},[5477,9286,9239],{"class":5487},[5477,9288,9289,9292],{"class":5479,"line":5888},[5477,9290,9291],{"class":5834},"    'Lasso (α=1)'",[5477,9293,9204],{"class":5487},[5477,9295,9296,9298,9300,9302,9304],{"class":5479,"line":5896},[5477,9297,9209],{"class":5487},[5477,9299,5835],{"class":5834},[5477,9301,5838],{"class":5487},[5477,9303,5841],{"class":5686},[5477,9305,9218],{"class":5487},[5477,9307,9308,9310,9312],{"class":5479,"line":5901},[5477,9309,9209],{"class":5487},[5477,9311,5856],{"class":5834},[5477,9313,5859],{"class":5487},[5477,9315,9316,9318,9320,9323,9325,9327,9329,9331,9333,9335,9337],{"class":5479,"line":5918},[5477,9317,9209],{"class":5487},[5477,9319,5867],{"class":5834},[5477,9321,9322],{"class":5487},", Lasso(",[5477,9324,5322],{"class":5686},[5477,9326,5690],{"class":5487},[5477,9328,5464],{"class":5596},[5477,9330,5612],{"class":5487},[5477,9332,7133],{"class":5686},[5477,9334,5690],{"class":5487},[5477,9336,7138],{"class":5596},[5477,9338,5776],{"class":5487},[5477,9340,9341],{"class":5479,"line":5927},[5477,9342,9343],{"class":5487},"    ])\n",[5477,9345,9346],{"class":5479,"line":5942},[5477,9347,7145],{"class":5487},[5477,9349,9350],{"class":5479,"line":5947},[5477,9351,5580],{"emptyLinePlaceholder":5579},[5477,9353,9354],{"class":5479,"line":5970},[5477,9355,9356],{"class":5586},"# Навчання та оцінка\n",[5477,9358,9359],{"class":5479,"line":5976},[5477,9360,5749],{"class":5487},[5477,9362,9363,9365,9367,9369,9371,9373,9375],{"class":5479,"line":5982},[5477,9364,5760],{"class":5487},[5477,9366,5763],{"class":5686},[5477,9368,5766],{"class":5487},[5477,9370,5769],{"class":5596},[5477,9372,5612],{"class":5487},[5477,9374,5646],{"class":5596},[5477,9376,5776],{"class":5487},[5477,9378,9379],{"class":5479,"line":5987},[5477,9380,5580],{"emptyLinePlaceholder":5579},[5477,9382,9383,9385,9388,9390,9392,9395,9397],{"class":5479,"line":5993},[5477,9384,5787],{"class":5483},[5477,9386,9387],{"class":5487}," i, (name, model) ",[5477,9389,5793],{"class":5483},[5477,9391,5797],{"class":5796},[5477,9393,9394],{"class":5487},"(models.items(), ",[5477,9396,5464],{"class":5596},[5477,9398,5805],{"class":5487},[5477,9400,9401],{"class":5479,"line":5999},[5477,9402,5979],{"class":5487},[5477,9404,9405],{"class":5479,"line":6017},[5477,9406,5973],{"class":5487},[5477,9408,9409],{"class":5479,"line":6022},[5477,9410,9411],{"class":5487},"    y_train_pred = model.predict(X_train)\n",[5477,9413,9414],{"class":5479,"line":6028},[5477,9415,9416],{"class":5487},"    y_test_pred = model.predict(X_test)\n",[5477,9418,9419],{"class":5479,"line":6055},[5477,9420,5973],{"class":5487},[5477,9422,9423],{"class":5479,"line":6061},[5477,9424,9425],{"class":5487},"    r2_train = r2_score(y_train, y_train_pred)\n",[5477,9427,9428],{"class":5479,"line":6066},[5477,9429,9430],{"class":5487},"    r2_test = r2_score(y_test, y_test_pred)\n",[5477,9432,9433],{"class":5479,"line":6082},[5477,9434,5973],{"class":5487},[5477,9436,9437],{"class":5479,"line":6135},[5477,9438,9439],{"class":5487},"    results[name] = {\n",[5477,9441,9442,9444],{"class":5479,"line":6192},[5477,9443,7231],{"class":5834},[5477,9445,9446],{"class":5487},": r2_train,\n",[5477,9448,9449,9451],{"class":5479,"line":6217},[5477,9450,7255],{"class":5834},[5477,9452,9453],{"class":5487},": r2_test,\n",[5477,9455,9456,9459],{"class":5479,"line":6238},[5477,9457,9458],{"class":5834},"        'Gap'",[5477,9460,9461],{"class":5487},": r2_train - r2_test\n",[5477,9463,9464],{"class":5479,"line":6257},[5477,9465,9466],{"class":5487},"    }\n",[5477,9468,9469],{"class":5479,"line":6321},[5477,9470,5973],{"class":5487},[5477,9472,9473],{"class":5479,"line":6336},[5477,9474,6025],{"class":5586},[5477,9476,9477,9479,9481,9483,9485,9487,9489,9491,9493,9495,9497],{"class":5479,"line":6350},[5477,9478,6031],{"class":5487},[5477,9480,5609],{"class":5596},[5477,9482,5612],{"class":5487},[5477,9484,5615],{"class":5596},[5477,9486,5612],{"class":5487},[5477,9488,6042],{"class":5596},[5477,9490,5623],{"class":5487},[5477,9492,5464],{"class":5596},[5477,9494,5612],{"class":5487},[5477,9496,5464],{"class":5596},[5477,9498,5600],{"class":5487},[5477,9500,9501],{"class":5479,"line":6365},[5477,9502,6058],{"class":5487},[5477,9504,9505],{"class":5479,"line":6370},[5477,9506,5973],{"class":5487},[5477,9508,9509,9511,9513,9515,9517],{"class":5479,"line":6376},[5477,9510,6069],{"class":5487},[5477,9512,5464],{"class":5596},[5477,9514,5612],{"class":5487},[5477,9516,6076],{"class":5596},[5477,9518,6079],{"class":5487},[5477,9520,9521,9523,9525,9527,9529,9531,9533,9535,9537,9539,9541,9543,9545,9547,9549,9551,9553,9555,9557,9559,9561],{"class":5479,"line":6382},[5477,9522,6085],{"class":5487},[5477,9524,5322],{"class":5686},[5477,9526,5690],{"class":5487},[5477,9528,6092],{"class":5596},[5477,9530,5612],{"class":5487},[5477,9532,6097],{"class":5686},[5477,9534,5690],{"class":5487},[5477,9536,5640],{"class":5596},[5477,9538,5612],{"class":5487},[5477,9540,6106],{"class":5686},[5477,9542,5690],{"class":5487},[5477,9544,6111],{"class":5834},[5477,9546,5612],{"class":5487},[5477,9548,6116],{"class":5686},[5477,9550,5690],{"class":5487},[5477,9552,6121],{"class":5834},[5477,9554,5612],{"class":5487},[5477,9556,6126],{"class":5686},[5477,9558,5690],{"class":5487},[5477,9560,6092],{"class":5596},[5477,9562,5600],{"class":5487},[5477,9564,9565,9567,9569,9571,9573,9575,9577,9579,9581,9583,9585,9587,9589,9591,9593,9595,9597,9599,9601,9603,9605,9607,9609,9611,9613],{"class":5479,"line":6387},[5477,9566,6138],{"class":5487},[5477,9568,5322],{"class":5686},[5477,9570,5690],{"class":5487},[5477,9572,6092],{"class":5596},[5477,9574,5612],{"class":5487},[5477,9576,6097],{"class":5686},[5477,9578,5690],{"class":5487},[5477,9580,5640],{"class":5596},[5477,9582,5612],{"class":5487},[5477,9584,6157],{"class":5686},[5477,9586,5690],{"class":5487},[5477,9588,6162],{"class":5834},[5477,9590,5612],{"class":5487},[5477,9592,6106],{"class":5686},[5477,9594,5690],{"class":5487},[5477,9596,6171],{"class":5834},[5477,9598,5612],{"class":5487},[5477,9600,6116],{"class":5686},[5477,9602,5690],{"class":5487},[5477,9604,6121],{"class":5834},[5477,9606,5612],{"class":5487},[5477,9608,6126],{"class":5686},[5477,9610,5690],{"class":5487},[5477,9612,6092],{"class":5596},[5477,9614,5600],{"class":5487},[5477,9616,9617,9619,9621,9623,9625,9627,9629,9631,9633],{"class":5479,"line":6406},[5477,9618,6195],{"class":5487},[5477,9620,6157],{"class":5686},[5477,9622,5690],{"class":5487},[5477,9624,6202],{"class":5834},[5477,9626,5612],{"class":5487},[5477,9628,6207],{"class":5686},[5477,9630,5690],{"class":5487},[5477,9632,6212],{"class":5596},[5477,9634,5600],{"class":5487},[5477,9636,9637,9639,9641,9643,9645,9647,9649],{"class":5479,"line":6450},[5477,9638,6220],{"class":5487},[5477,9640,6223],{"class":5834},[5477,9642,5612],{"class":5487},[5477,9644,6228],{"class":5686},[5477,9646,5690],{"class":5487},[5477,9648,6233],{"class":5596},[5477,9650,5600],{"class":5487},[5477,9652,9653,9655,9657,9659,9661,9663,9665],{"class":5479,"line":6468},[5477,9654,6241],{"class":5487},[5477,9656,6244],{"class":5834},[5477,9658,5612],{"class":5487},[5477,9660,6228],{"class":5686},[5477,9662,5690],{"class":5487},[5477,9664,6233],{"class":5596},[5477,9666,5600],{"class":5487},[5477,9668,9669,9671,9673,9675,9677,9679,9681,9683,9685,9687,9689,9691,9693,9695,9697,9699,9701,9703,9705,9707,9709,9711,9713,9715,9717],{"class":5479,"line":6481},[5477,9670,6260],{"class":5487},[5477,9672,5953],{"class":5952},[5477,9674,6265],{"class":5834},[5477,9676,5959],{"class":5952},[5477,9678,7657],{"class":5487},[5477,9680,5964],{"class":5952},[5477,9682,6275],{"class":6274},[5477,9684,6278],{"class":5834},[5477,9686,5959],{"class":5952},[5477,9688,6283],{"class":5487},[5477,9690,6286],{"class":5952},[5477,9692,6289],{"class":5834},[5477,9694,5959],{"class":5952},[5477,9696,6294],{"class":5487},[5477,9698,6286],{"class":5952},[5477,9700,6265],{"class":5834},[5477,9702,5612],{"class":5487},[5477,9704,6228],{"class":5686},[5477,9706,5690],{"class":5487},[5477,9708,6233],{"class":5596},[5477,9710,5612],{"class":5487},[5477,9712,6311],{"class":5686},[5477,9714,5690],{"class":5487},[5477,9716,6316],{"class":5834},[5477,9718,5600],{"class":5487},[5477,9720,9721,9723,9725,9727,9729],{"class":5479,"line":6496},[5477,9722,6324],{"class":5487},[5477,9724,6228],{"class":5686},[5477,9726,5690],{"class":5487},[5477,9728,5615],{"class":5596},[5477,9730,5600],{"class":5487},[5477,9732,9734,9736,9738,9740,9742],{"class":5479,"line":9733},68,[5477,9735,6339],{"class":5487},[5477,9737,5322],{"class":5686},[5477,9739,5690],{"class":5487},[5477,9741,5693],{"class":5596},[5477,9743,5600],{"class":5487},[5477,9745,9747,9749,9751,9753,9755],{"class":5479,"line":9746},69,[5477,9748,6353],{"class":5487},[5477,9750,5609],{"class":5596},[5477,9752,5612],{"class":5487},[5477,9754,6360],{"class":5596},[5477,9756,5600],{"class":5487},[5477,9758,9760],{"class":5479,"line":9759},70,[5477,9761,5580],{"emptyLinePlaceholder":5579},[5477,9763,9765],{"class":5479,"line":9764},71,[5477,9766,6373],{"class":5487},[5477,9768,9770],{"class":5479,"line":9769},72,[5477,9771,6379],{"class":5487},[5477,9773,9775],{"class":5479,"line":9774},73,[5477,9776,5580],{"emptyLinePlaceholder":5579},[5477,9778,9780],{"class":5479,"line":9779},74,[5477,9781,9782],{"class":5586},"# Порівняльна таблиця\n",[5477,9784,9786,9788,9790,9792,9794,9796,9799,9801,9803,9805,9808],{"class":5479,"line":9785},75,[5477,9787,6390],{"class":5796},[5477,9789,6393],{"class":5487},[5477,9791,5953],{"class":5952},[5477,9793,6396],{"class":5834},[5477,9795,6275],{"class":6274},[5477,9797,9798],{"class":5834},"Порівняння моделей на поліномі ступеня ",[5477,9800,5959],{"class":5952},[5477,9802,5841],{"class":5487},[5477,9804,5964],{"class":5952},[5477,9806,9807],{"class":5834},":\"",[5477,9809,5600],{"class":5487},[5477,9811,9813,9815,9817,9819,9821,9823,9826,9829,9831,9833,9835,9837,9839,9841,9843,9846,9848,9850],{"class":5479,"line":9812},76,[5477,9814,6390],{"class":5796},[5477,9816,6393],{"class":5487},[5477,9818,5953],{"class":5952},[5477,9820,6396],{"class":5834},[5477,9822,5959],{"class":5952},[5477,9824,9825],{"class":5834},"'Модель'",[5477,9827,9828],{"class":5952},":\u003C25}",[5477,9830,6425],{"class":5952},[5477,9832,6005],{"class":5834},[5477,9834,6430],{"class":5952},[5477,9836,6425],{"class":5952},[5477,9838,6011],{"class":5834},[5477,9840,6430],{"class":5952},[5477,9842,6425],{"class":5952},[5477,9844,9845],{"class":5834},"'Gap'",[5477,9847,6422],{"class":5952},[5477,9849,6396],{"class":5834},[5477,9851,5600],{"class":5487},[5477,9853,9855,9857,9859,9861,9863,9866],{"class":5479,"line":9854},77,[5477,9856,6390],{"class":5796},[5477,9858,6393],{"class":5487},[5477,9860,6457],{"class":5834},[5477,9862,6460],{"class":5487},[5477,9864,9865],{"class":5596},"65",[5477,9867,5600],{"class":5487},[5477,9869,9871,9873,9876,9878],{"class":5479,"line":9870},78,[5477,9872,5787],{"class":5483},[5477,9874,9875],{"class":5487}," name, metrics ",[5477,9877,5793],{"class":5483},[5477,9879,6478],{"class":5487},[5477,9881,9883,9885,9887,9889,9891,9893,9895,9897,9899,9901,9903,9905,9907,9909,9911,9913,9915,9917,9919,9921,9923,9925,9927,9929],{"class":5479,"line":9882},79,[5477,9884,6499],{"class":5796},[5477,9886,6393],{"class":5487},[5477,9888,5953],{"class":5952},[5477,9890,6396],{"class":5834},[5477,9892,5959],{"class":5952},[5477,9894,7657],{"class":5487},[5477,9896,9828],{"class":5952},[5477,9898,6425],{"class":5952},[5477,9900,6516],{"class":5487},[5477,9902,6005],{"class":5834},[5477,9904,6521],{"class":5487},[5477,9906,6524],{"class":5952},[5477,9908,6425],{"class":5952},[5477,9910,6516],{"class":5487},[5477,9912,6011],{"class":5834},[5477,9914,6521],{"class":5487},[5477,9916,6524],{"class":5952},[5477,9918,6425],{"class":5952},[5477,9920,6516],{"class":5487},[5477,9922,9845],{"class":5834},[5477,9924,6521],{"class":5487},[5477,9926,6542],{"class":5952},[5477,9928,6396],{"class":5834},[5477,9930,5600],{"class":5487},[5477,9932,9934],{"class":5479,"line":9933},80,[5477,9935,5580],{"emptyLinePlaceholder":5579},[5477,9937,9939,9941,9943,9945,9947,9950],{"class":5479,"line":9938},81,[5477,9940,6390],{"class":5796},[5477,9942,6393],{"class":5487},[5477,9944,6396],{"class":5834},[5477,9946,6275],{"class":6274},[5477,9948,9949],{"class":5834},"✅ Ridge та Lasso успішно зменшили перенавчання!\"",[5477,9951,5600],{"class":5487},[6548,9953,9954,9961,9964],{"v-slot:output":5472},[5191,9955,9956],{},[6553,9957],{"alt":9958,"className":9959,"src":9960},"Порівняння моделей на поліномі ступеня 12: LinearRegression з перенавчанням проти згладжених Ridge та Lasso",[6557],"\u002Fimages\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods\u002F04.png",[5191,9962,9963],{},"Порівняння моделей на поліномі ступеня 12:",[6563,9965,9966,9982],{},[6566,9967,9968],{},[6569,9969,9970,9972,9974,9976,9979],{},[6572,9971,7345],{"align":6574},[6572,9973,6578],{"align":6574},[6572,9975,6581],{"align":6574},[6572,9977,9978],{"align":6574},"Gap ($R^2_{\\text{train}} - R^2_{\\text{test}}$)",[6572,9980,9981],{"align":6574},"Діагностика",[6589,9983,9984,10002,10022],{},[6569,9985,9986,9990,9993,9996,9999],{},[6594,9987,9988],{"align":6574},[5195,9989,7364],{},[6594,9991,9992],{"align":6574},"0.9912",[6594,9994,9995],{"align":6574},"0.8643",[6594,9997,9998],{"align":6574},"0.1269",[6594,10000,10001],{"align":6574},"❌ Перенавчання, осциляції на границях",[6569,10003,10004,10008,10011,10014,10019],{},[6594,10005,10006],{"align":6574},[5195,10007,7383],{},[6594,10009,10010],{"align":6574},"0.9801",[6594,10012,10013],{"align":6574},"0.9387",[6594,10015,10016],{"align":6574},[5195,10017,10018],{},"0.0414",[6594,10020,10021],{"align":6574},"✅ Гладка крива, висока точність",[6569,10023,10024,10028,10031,10034,10039],{},[6594,10025,10026],{"align":6574},[5195,10027,7401],{},[6594,10029,10030],{"align":6574},"0.9756",[6594,10032,10033],{"align":6574},"0.9421",[6594,10035,10036],{"align":6574},[5195,10037,10038],{},"0.0335",[6594,10040,10041],{"align":6574},"🏆 Найкраще узагальнення та стійкість",[6731,10043,10044,10047],{},[5195,10045,10046],{},"Ridge та Lasso успішно приборкали перенавчання:"," штраф за величину коефіцієнтів запобігає диким коливанням поліноміальних членів вищих порядків.",[5191,10049,10050,10053,10054,10057],{},[5195,10051,10052],{},"Висновок:"," Регуляризація ",[5195,10055,10056],{},"дозволяє використовувати складні моделі"," (високий ступінь полінома), при цьому уникаючи перенавчання. Gap між train та test значно зменшився!",[5389,10059,10061],{"id":10060},"приклад-2-feature-selection-через-lasso","Приклад 2: Feature Selection через Lasso",[5191,10063,10064],{},"Покажемо силу Lasso у відборі ознак на прикладі з багатьма корельованими ознаками.",[5457,10066,10068],{"kernel":5459,"title":10067},"lasso_feature_selection.ipynb",[5462,10069,10070,11150],{"execution-count":5464,"execution-time":5465},[5467,10071,10073],{"className":5469,"code":10072,"language":5471,"meta":5472,"style":5472},"import pandas as pd\n\n# Створимо датасет: 20 ознак, але тільки 3 реально впливають на y\nrng = np.random.default_rng(123)\nn_samples = 300\nn_features = 20\n\nX_data = rng.standard_normal((n_samples, n_features))\n\n# Тільки ознаки 2, 7, 15 впливають на y\ntrue_coefficients = np.zeros(n_features)\ntrue_coefficients[2] = 8.5\ntrue_coefficients[7] = -6.2\ntrue_coefficients[15] = 4.8\n\ny_data = X_data @ true_coefficients + rng.normal(0, 3, n_samples)\n\nX_train_data, X_test_data, y_train_data, y_test_data = train_test_split(\n    X_data, y_data, test_size=0.3, random_state=42\n)\n\n# Стандартизація\nfrom sklearn.preprocessing import StandardScaler\nscaler = StandardScaler()\nX_train_scaled = scaler.fit_transform(X_train_data)\nX_test_scaled = scaler.transform(X_test_data)\n\n# Навчання Lasso з різними alpha\nalphas_test = [0.1, 0.5, 1.0, 2.0]\nlasso_results = []\n\nfor alpha in alphas_test:\n    lasso_model = Lasso(alpha=alpha, max_iter=10000)\n    lasso_model.fit(X_train_scaled, y_train_data)\n    \n    r2_test = lasso_model.score(X_test_scaled, y_test_data)\n    n_selected = np.sum(np.abs(lasso_model.coef_) > 1e-5)\n    \n    lasso_results.append({\n        'alpha': alpha,\n        'R² test': r2_test,\n        'Selected features': n_selected\n    })\n\ndf_lasso = pd.DataFrame(lasso_results)\nprint(\"Lasso: вплив alpha на відбір ознак\\n\")\nprint(df_lasso.to_string(index=False))\n\n# Візуалізація коефіцієнтів для оптимального alpha\noptimal_lasso = Lasso(alpha=1.0, max_iter=10000)\noptimal_lasso.fit(X_train_scaled, y_train_data)\n\nplt.figure(figsize=(12, 5))\n\n# Графік 1: Коефіцієнти\nplt.subplot(1, 2, 1)\nfeature_names = [f'X{i}' for i in range(n_features)]\ncolors = ['green' if i in [2, 7, 15] else 'gray' for i in range(n_features)]\nplt.bar(range(n_features), optimal_lasso.coef_, color=colors, alpha=0.7, edgecolor='k', linewidth=0.5)\nplt.axhline(0, color='black', linewidth=1, linestyle='--', alpha=0.5)\nplt.xlabel('Індекс ознаки', fontsize=11)\nplt.ylabel('Коефіцієнт', fontsize=11)\nplt.title('Lasso (α=1.0): автоматичний відбір ознак', fontsize=12, fontweight='bold')\nplt.xticks(range(n_features), feature_names, rotation=45)\nplt.grid(alpha=0.3, axis='y')\n\n# Графік 2: Порівняння справжніх та знайдених ознак\nplt.subplot(1, 2, 2)\nselected_indices = np.where(np.abs(optimal_lasso.coef_) > 1e-5)[0]\ntrue_indices = [2, 7, 15]\n\nx_pos = np.arange(len(selected_indices))\nplt.bar(x_pos - 0.2, [true_coefficients[i] for i in selected_indices], \n        width=0.4, label='Справжні', alpha=0.7, color='blue', edgecolor='k')\nplt.bar(x_pos + 0.2, [optimal_lasso.coef_[i] for i in selected_indices], \n        width=0.4, label='Знайдені Lasso', alpha=0.7, color='orange', edgecolor='k')\n\nplt.xlabel('Відібрані ознаки', fontsize=11)\nplt.ylabel('Значення коефіцієнта', fontsize=11)\nplt.title('Порівняння справжніх та знайдених коефіцієнтів', fontsize=12, fontweight='bold')\nplt.xticks(x_pos, [f'X{i}' for i in selected_indices])\nplt.legend(fontsize=10)\nplt.grid(alpha=0.3, axis='y')\n\nplt.tight_layout()\nplt.show()\n\nprint(f\"\\n✅ Lasso знайшов {len(selected_indices)} ознак зі справжніх 3!\")\nprint(f\"Індекси відібраних ознак: {selected_indices}\")\n",[5474,10074,10075,10085,10089,10094,10103,10110,10117,10121,10126,10130,10135,10140,10153,10166,10177,10181,10194,10198,10203,10222,10226,10230,10235,10245,10249,10254,10259,10263,10268,10290,10295,10299,10310,10326,10331,10335,10340,10349,10353,10358,10366,10372,10380,10384,10388,10393,10408,10423,10427,10432,10453,10458,10462,10478,10482,10487,10504,10536,10582,10620,10661,10677,10694,10719,10739,10759,10763,10768,10784,10798,10815,10819,10829,10849,10894,10912,10955,10959,10976,10992,11017,11043,11056,11077,11082,11087,11092,11097,11127],{"__ignoreMap":5472},[5477,10076,10077,10079,10081,10083],{"class":5479,"line":5480},[5477,10078,5484],{"class":5483},[5477,10080,6905],{"class":5487},[5477,10082,5491],{"class":5483},[5477,10084,6910],{"class":5487},[5477,10086,10087],{"class":5479,"line":5497},[5477,10088,5580],{"emptyLinePlaceholder":5579},[5477,10090,10091],{"class":5479,"line":5510},[5477,10092,10093],{"class":5586},"# Створимо датасет: 20 ознак, але тільки 3 реально впливають на y\n",[5477,10095,10096,10098,10101],{"class":5479,"line":5524},[5477,10097,5593],{"class":5487},[5477,10099,10100],{"class":5596},"123",[5477,10102,5600],{"class":5487},[5477,10104,10105,10107],{"class":5479,"line":5537},[5477,10106,6932],{"class":5487},[5477,10108,10109],{"class":5596},"300\n",[5477,10111,10112,10114],{"class":5479,"line":5550},[5477,10113,6940],{"class":5487},[5477,10115,10116],{"class":5596},"20\n",[5477,10118,10119],{"class":5479,"line":5563},[5477,10120,5580],{"emptyLinePlaceholder":5579},[5477,10122,10123],{"class":5479,"line":5576},[5477,10124,10125],{"class":5487},"X_data = rng.standard_normal((n_samples, n_features))\n",[5477,10127,10128],{"class":5479,"line":5583},[5477,10129,5580],{"emptyLinePlaceholder":5579},[5477,10131,10132],{"class":5479,"line":5590},[5477,10133,10134],{"class":5586},"# Тільки ознаки 2, 7, 15 впливають на y\n",[5477,10136,10137],{"class":5479,"line":5603},[5477,10138,10139],{"class":5487},"true_coefficients = np.zeros(n_features)\n",[5477,10141,10142,10145,10147,10150],{"class":5479,"line":5634},[5477,10143,10144],{"class":5487},"true_coefficients[",[5477,10146,5652],{"class":5596},[5477,10148,10149],{"class":5487},"] = ",[5477,10151,10152],{"class":5596},"8.5\n",[5477,10154,10155,10157,10160,10163],{"class":5479,"line":5675},[5477,10156,10144],{"class":5487},[5477,10158,10159],{"class":5596},"7",[5477,10161,10162],{"class":5487},"] = -",[5477,10164,10165],{"class":5596},"6.2\n",[5477,10167,10168,10170,10172,10174],{"class":5479,"line":5680},[5477,10169,10144],{"class":5487},[5477,10171,5769],{"class":5596},[5477,10173,10149],{"class":5487},[5477,10175,10176],{"class":5596},"4.8\n",[5477,10178,10179],{"class":5479,"line":5707},[5477,10180,5580],{"emptyLinePlaceholder":5579},[5477,10182,10183,10186,10188,10190,10192],{"class":5479,"line":5712},[5477,10184,10185],{"class":5487},"y_data = X_data @ true_coefficients + rng.normal(",[5477,10187,5609],{"class":5596},[5477,10189,5612],{"class":5487},[5477,10191,6076],{"class":5596},[5477,10193,7008],{"class":5487},[5477,10195,10196],{"class":5479,"line":5718},[5477,10197,5580],{"emptyLinePlaceholder":5579},[5477,10199,10200],{"class":5479,"line":5746},[5477,10201,10202],{"class":5487},"X_train_data, X_test_data, y_train_data, y_test_data = train_test_split(\n",[5477,10204,10205,10208,10210,10212,10214,10216,10218,10220],{"class":5479,"line":5752},[5477,10206,10207],{"class":5487},"    X_data, y_data, ",[5477,10209,5687],{"class":5686},[5477,10211,5690],{"class":5487},[5477,10213,5693],{"class":5596},[5477,10215,5612],{"class":5487},[5477,10217,5698],{"class":5686},[5477,10219,5690],{"class":5487},[5477,10221,7037],{"class":5596},[5477,10223,10224],{"class":5479,"line":5757},[5477,10225,5600],{"class":5487},[5477,10227,10228],{"class":5479,"line":5779},[5477,10229,5580],{"emptyLinePlaceholder":5579},[5477,10231,10232],{"class":5479,"line":5784},[5477,10233,10234],{"class":5586},"# Стандартизація\n",[5477,10236,10237,10239,10241,10243],{"class":5479,"line":5808},[5477,10238,5513],{"class":5483},[5477,10240,5529],{"class":5487},[5477,10242,5484],{"class":5483},[5477,10244,7061],{"class":5487},[5477,10246,10247],{"class":5479,"line":5822},[5477,10248,7070],{"class":5487},[5477,10250,10251],{"class":5479,"line":5828},[5477,10252,10253],{"class":5487},"X_train_scaled = scaler.fit_transform(X_train_data)\n",[5477,10255,10256],{"class":5479,"line":5851},[5477,10257,10258],{"class":5487},"X_test_scaled = scaler.transform(X_test_data)\n",[5477,10260,10261],{"class":5479,"line":5862},[5477,10262,5580],{"emptyLinePlaceholder":5579},[5477,10264,10265],{"class":5479,"line":5873},[5477,10266,10267],{"class":5586},"# Навчання Lasso з різними alpha\n",[5477,10269,10270,10273,10275,10277,10279,10281,10283,10285,10288],{"class":5479,"line":5879},[5477,10271,10272],{"class":5487},"alphas_test = [",[5477,10274,5728],{"class":5596},[5477,10276,5612],{"class":5487},[5477,10278,6092],{"class":5596},[5477,10280,5612],{"class":5487},[5477,10282,6635],{"class":5596},[5477,10284,5612],{"class":5487},[5477,10286,10287],{"class":5596},"2.0",[5477,10289,5743],{"class":5487},[5477,10291,10292],{"class":5479,"line":5888},[5477,10293,10294],{"class":5487},"lasso_results = []\n",[5477,10296,10297],{"class":5479,"line":5896},[5477,10298,5580],{"emptyLinePlaceholder":5579},[5477,10300,10301,10303,10305,10307],{"class":5479,"line":5901},[5477,10302,5787],{"class":5483},[5477,10304,7998],{"class":5487},[5477,10306,5793],{"class":5483},[5477,10308,10309],{"class":5487}," alphas_test:\n",[5477,10311,10312,10314,10316,10318,10320,10322,10324],{"class":5479,"line":5918},[5477,10313,8061],{"class":5487},[5477,10315,5322],{"class":5686},[5477,10317,8066],{"class":5487},[5477,10319,7133],{"class":5686},[5477,10321,5690],{"class":5487},[5477,10323,7138],{"class":5596},[5477,10325,5600],{"class":5487},[5477,10327,10328],{"class":5479,"line":5927},[5477,10329,10330],{"class":5487},"    lasso_model.fit(X_train_scaled, y_train_data)\n",[5477,10332,10333],{"class":5479,"line":5942},[5477,10334,5973],{"class":5487},[5477,10336,10337],{"class":5479,"line":5947},[5477,10338,10339],{"class":5487},"    r2_test = lasso_model.score(X_test_scaled, y_test_data)\n",[5477,10341,10342,10345,10347],{"class":5479,"line":5970},[5477,10343,10344],{"class":5487},"    n_selected = np.sum(np.abs(lasso_model.coef_) > ",[5477,10346,7207],{"class":5596},[5477,10348,5600],{"class":5487},[5477,10350,10351],{"class":5479,"line":5976},[5477,10352,5973],{"class":5487},[5477,10354,10355],{"class":5479,"line":5982},[5477,10356,10357],{"class":5487},"    lasso_results.append({\n",[5477,10359,10360,10363],{"class":5479,"line":5987},[5477,10361,10362],{"class":5834},"        'alpha'",[5477,10364,10365],{"class":5487},": alpha,\n",[5477,10367,10368,10370],{"class":5479,"line":5993},[5477,10369,7255],{"class":5834},[5477,10371,9453],{"class":5487},[5477,10373,10374,10377],{"class":5479,"line":5999},[5477,10375,10376],{"class":5834},"        'Selected features'",[5477,10378,10379],{"class":5487},": n_selected\n",[5477,10381,10382],{"class":5479,"line":6017},[5477,10383,7284],{"class":5487},[5477,10385,10386],{"class":5479,"line":6022},[5477,10387,5580],{"emptyLinePlaceholder":5579},[5477,10389,10390],{"class":5479,"line":6028},[5477,10391,10392],{"class":5487},"df_lasso = pd.DataFrame(lasso_results)\n",[5477,10394,10395,10397,10399,10402,10404,10406],{"class":5479,"line":6055},[5477,10396,6390],{"class":5796},[5477,10398,6393],{"class":5487},[5477,10400,10401],{"class":5834},"\"Lasso: вплив alpha на відбір ознак",[5477,10403,6275],{"class":6274},[5477,10405,6396],{"class":5834},[5477,10407,5600],{"class":5487},[5477,10409,10410,10412,10415,10417,10419,10421],{"class":5479,"line":6061},[5477,10411,6390],{"class":5796},[5477,10413,10414],{"class":5487},"(df_lasso.to_string(",[5477,10416,7312],{"class":5686},[5477,10418,5690],{"class":5487},[5477,10420,7317],{"class":5952},[5477,10422,5776],{"class":5487},[5477,10424,10425],{"class":5479,"line":6066},[5477,10426,5580],{"emptyLinePlaceholder":5579},[5477,10428,10429],{"class":5479,"line":6082},[5477,10430,10431],{"class":5586},"# Візуалізація коефіцієнтів для оптимального alpha\n",[5477,10433,10434,10437,10439,10441,10443,10445,10447,10449,10451],{"class":5479,"line":6135},[5477,10435,10436],{"class":5487},"optimal_lasso = Lasso(",[5477,10438,5322],{"class":5686},[5477,10440,5690],{"class":5487},[5477,10442,6635],{"class":5596},[5477,10444,5612],{"class":5487},[5477,10446,7133],{"class":5686},[5477,10448,5690],{"class":5487},[5477,10450,7138],{"class":5596},[5477,10452,5600],{"class":5487},[5477,10454,10455],{"class":5479,"line":6192},[5477,10456,10457],{"class":5487},"optimal_lasso.fit(X_train_scaled, y_train_data)\n",[5477,10459,10460],{"class":5479,"line":6217},[5477,10461,5580],{"emptyLinePlaceholder":5579},[5477,10463,10464,10466,10468,10470,10472,10474,10476],{"class":5479,"line":6238},[5477,10465,5760],{"class":5487},[5477,10467,5763],{"class":5686},[5477,10469,5766],{"class":5487},[5477,10471,7670],{"class":5596},[5477,10473,5612],{"class":5487},[5477,10475,5646],{"class":5596},[5477,10477,5776],{"class":5487},[5477,10479,10480],{"class":5479,"line":6257},[5477,10481,5580],{"emptyLinePlaceholder":5579},[5477,10483,10484],{"class":5479,"line":6321},[5477,10485,10486],{"class":5586},"# Графік 1: Коефіцієнти\n",[5477,10488,10489,10492,10494,10496,10498,10500,10502],{"class":5479,"line":6336},[5477,10490,10491],{"class":5487},"plt.subplot(",[5477,10493,5464],{"class":5596},[5477,10495,5612],{"class":5487},[5477,10497,5652],{"class":5596},[5477,10499,5612],{"class":5487},[5477,10501,5464],{"class":5596},[5477,10503,5600],{"class":5487},[5477,10505,10506,10509,10511,10514,10516,10519,10521,10523,10525,10528,10530,10533],{"class":5479,"line":6350},[5477,10507,10508],{"class":5487},"feature_names = [",[5477,10510,5953],{"class":5952},[5477,10512,10513],{"class":5834},"'X",[5477,10515,5959],{"class":5952},[5477,10517,10518],{"class":5487},"i",[5477,10520,5964],{"class":5952},[5477,10522,6265],{"class":5834},[5477,10524,7508],{"class":5483},[5477,10526,10527],{"class":5487}," i ",[5477,10529,5793],{"class":5483},[5477,10531,10532],{"class":5796}," range",[5477,10534,10535],{"class":5487},"(n_features)]\n",[5477,10537,10538,10541,10544,10546,10548,10550,10553,10555,10557,10559,10561,10563,10566,10569,10572,10574,10576,10578,10580],{"class":5479,"line":6365},[5477,10539,10540],{"class":5487},"colors = [",[5477,10542,10543],{"class":5834},"'green'",[5477,10545,7491],{"class":5483},[5477,10547,10527],{"class":5487},[5477,10549,5793],{"class":5952},[5477,10551,10552],{"class":5487}," [",[5477,10554,5652],{"class":5596},[5477,10556,5612],{"class":5487},[5477,10558,10159],{"class":5596},[5477,10560,5612],{"class":5487},[5477,10562,5769],{"class":5596},[5477,10564,10565],{"class":5487},"] ",[5477,10567,10568],{"class":5483},"else",[5477,10570,10571],{"class":5834}," 'gray'",[5477,10573,7508],{"class":5483},[5477,10575,10527],{"class":5487},[5477,10577,5793],{"class":5483},[5477,10579,10532],{"class":5796},[5477,10581,10535],{"class":5487},[5477,10583,10584,10587,10589,10592,10594,10596,10598,10600,10602,10604,10606,10608,10610,10612,10614,10616,10618],{"class":5479,"line":6370},[5477,10585,10586],{"class":5487},"plt.bar(",[5477,10588,7524],{"class":5796},[5477,10590,10591],{"class":5487},"(n_features), optimal_lasso.coef_, ",[5477,10593,6157],{"class":5686},[5477,10595,7537],{"class":5487},[5477,10597,5322],{"class":5686},[5477,10599,5690],{"class":5487},[5477,10601,7544],{"class":5596},[5477,10603,5612],{"class":5487},[5477,10605,7549],{"class":5686},[5477,10607,5690],{"class":5487},[5477,10609,6121],{"class":5834},[5477,10611,5612],{"class":5487},[5477,10613,6207],{"class":5686},[5477,10615,5690],{"class":5487},[5477,10617,6092],{"class":5596},[5477,10619,5600],{"class":5487},[5477,10621,10622,10625,10627,10629,10631,10633,10635,10637,10639,10641,10643,10645,10647,10649,10651,10653,10655,10657,10659],{"class":5479,"line":6376},[5477,10623,10624],{"class":5487},"plt.axhline(",[5477,10626,5609],{"class":5596},[5477,10628,5612],{"class":5487},[5477,10630,6157],{"class":5686},[5477,10632,5690],{"class":5487},[5477,10634,7579],{"class":5834},[5477,10636,5612],{"class":5487},[5477,10638,6207],{"class":5686},[5477,10640,5690],{"class":5487},[5477,10642,5464],{"class":5596},[5477,10644,5612],{"class":5487},[5477,10646,7592],{"class":5686},[5477,10648,5690],{"class":5487},[5477,10650,7597],{"class":5834},[5477,10652,5612],{"class":5487},[5477,10654,5322],{"class":5686},[5477,10656,5690],{"class":5487},[5477,10658,6092],{"class":5596},[5477,10660,5600],{"class":5487},[5477,10662,10663,10665,10667,10669,10671,10673,10675],{"class":5479,"line":6382},[5477,10664,8221],{"class":5487},[5477,10666,7615],{"class":5834},[5477,10668,5612],{"class":5487},[5477,10670,6228],{"class":5686},[5477,10672,5690],{"class":5487},[5477,10674,6233],{"class":5596},[5477,10676,5600],{"class":5487},[5477,10678,10679,10681,10684,10686,10688,10690,10692],{"class":5479,"line":6387},[5477,10680,8239],{"class":5487},[5477,10682,10683],{"class":5834},"'Коефіцієнт'",[5477,10685,5612],{"class":5487},[5477,10687,6228],{"class":5686},[5477,10689,5690],{"class":5487},[5477,10691,6233],{"class":5596},[5477,10693,5600],{"class":5487},[5477,10695,10696,10698,10701,10703,10705,10707,10709,10711,10713,10715,10717],{"class":5479,"line":6406},[5477,10697,8257],{"class":5487},[5477,10699,10700],{"class":5834},"'Lasso (α=1.0): автоматичний відбір ознак'",[5477,10702,5612],{"class":5487},[5477,10704,6228],{"class":5686},[5477,10706,5690],{"class":5487},[5477,10708,7670],{"class":5596},[5477,10710,5612],{"class":5487},[5477,10712,6311],{"class":5686},[5477,10714,5690],{"class":5487},[5477,10716,6316],{"class":5834},[5477,10718,5600],{"class":5487},[5477,10720,10721,10724,10726,10729,10732,10734,10737],{"class":5479,"line":6450},[5477,10722,10723],{"class":5487},"plt.xticks(",[5477,10725,7524],{"class":5796},[5477,10727,10728],{"class":5487},"(n_features), feature_names, ",[5477,10730,10731],{"class":5686},"rotation",[5477,10733,5690],{"class":5487},[5477,10735,10736],{"class":5596},"45",[5477,10738,5600],{"class":5487},[5477,10740,10741,10743,10745,10747,10749,10751,10753,10755,10757],{"class":5479,"line":6468},[5477,10742,8297],{"class":5487},[5477,10744,5322],{"class":5686},[5477,10746,5690],{"class":5487},[5477,10748,5693],{"class":5596},[5477,10750,5612],{"class":5487},[5477,10752,7696],{"class":5686},[5477,10754,5690],{"class":5487},[5477,10756,6244],{"class":5834},[5477,10758,5600],{"class":5487},[5477,10760,10761],{"class":5479,"line":6481},[5477,10762,5580],{"emptyLinePlaceholder":5579},[5477,10764,10765],{"class":5479,"line":6496},[5477,10766,10767],{"class":5586},"# Графік 2: Порівняння справжніх та знайдених ознак\n",[5477,10769,10770,10772,10774,10776,10778,10780,10782],{"class":5479,"line":9733},[5477,10771,10491],{"class":5487},[5477,10773,5464],{"class":5596},[5477,10775,5612],{"class":5487},[5477,10777,5652],{"class":5596},[5477,10779,5612],{"class":5487},[5477,10781,5652],{"class":5596},[5477,10783,5600],{"class":5487},[5477,10785,10786,10789,10791,10794,10796],{"class":5479,"line":9746},[5477,10787,10788],{"class":5487},"selected_indices = np.where(np.abs(optimal_lasso.coef_) > ",[5477,10790,7207],{"class":5596},[5477,10792,10793],{"class":5487},")[",[5477,10795,5609],{"class":5596},[5477,10797,5743],{"class":5487},[5477,10799,10800,10803,10805,10807,10809,10811,10813],{"class":5479,"line":9759},[5477,10801,10802],{"class":5487},"true_indices = [",[5477,10804,5652],{"class":5596},[5477,10806,5612],{"class":5487},[5477,10808,10159],{"class":5596},[5477,10810,5612],{"class":5487},[5477,10812,5769],{"class":5596},[5477,10814,5743],{"class":5487},[5477,10816,10817],{"class":5479,"line":9764},[5477,10818,5580],{"emptyLinePlaceholder":5579},[5477,10820,10821,10824,10826],{"class":5479,"line":9769},[5477,10822,10823],{"class":5487},"x_pos = np.arange(",[5477,10825,7529],{"class":5796},[5477,10827,10828],{"class":5487},"(selected_indices))\n",[5477,10830,10831,10834,10837,10840,10842,10844,10846],{"class":5479,"line":9774},[5477,10832,10833],{"class":5487},"plt.bar(x_pos - ",[5477,10835,10836],{"class":5596},"0.2",[5477,10838,10839],{"class":5487},", [true_coefficients[i] ",[5477,10841,5787],{"class":5483},[5477,10843,10527],{"class":5487},[5477,10845,5793],{"class":5483},[5477,10847,10848],{"class":5487}," selected_indices], \n",[5477,10850,10851,10854,10856,10859,10861,10863,10865,10868,10870,10872,10874,10876,10878,10880,10882,10884,10886,10888,10890,10892],{"class":5479,"line":9779},[5477,10852,10853],{"class":5686},"        width",[5477,10855,5690],{"class":5487},[5477,10857,10858],{"class":5596},"0.4",[5477,10860,5612],{"class":5487},[5477,10862,6106],{"class":5686},[5477,10864,5690],{"class":5487},[5477,10866,10867],{"class":5834},"'Справжні'",[5477,10869,5612],{"class":5487},[5477,10871,5322],{"class":5686},[5477,10873,5690],{"class":5487},[5477,10875,7544],{"class":5596},[5477,10877,5612],{"class":5487},[5477,10879,6157],{"class":5686},[5477,10881,5690],{"class":5487},[5477,10883,8165],{"class":5834},[5477,10885,5612],{"class":5487},[5477,10887,7549],{"class":5686},[5477,10889,5690],{"class":5487},[5477,10891,6121],{"class":5834},[5477,10893,5600],{"class":5487},[5477,10895,10896,10899,10901,10904,10906,10908,10910],{"class":5479,"line":9785},[5477,10897,10898],{"class":5487},"plt.bar(x_pos + ",[5477,10900,10836],{"class":5596},[5477,10902,10903],{"class":5487},", [optimal_lasso.coef_[i] ",[5477,10905,5787],{"class":5483},[5477,10907,10527],{"class":5487},[5477,10909,5793],{"class":5483},[5477,10911,10848],{"class":5487},[5477,10913,10914,10916,10918,10920,10922,10924,10926,10929,10931,10933,10935,10937,10939,10941,10943,10945,10947,10949,10951,10953],{"class":5479,"line":9812},[5477,10915,10853],{"class":5686},[5477,10917,5690],{"class":5487},[5477,10919,10858],{"class":5596},[5477,10921,5612],{"class":5487},[5477,10923,6106],{"class":5686},[5477,10925,5690],{"class":5487},[5477,10927,10928],{"class":5834},"'Знайдені Lasso'",[5477,10930,5612],{"class":5487},[5477,10932,5322],{"class":5686},[5477,10934,5690],{"class":5487},[5477,10936,7544],{"class":5596},[5477,10938,5612],{"class":5487},[5477,10940,6157],{"class":5686},[5477,10942,5690],{"class":5487},[5477,10944,6162],{"class":5834},[5477,10946,5612],{"class":5487},[5477,10948,7549],{"class":5686},[5477,10950,5690],{"class":5487},[5477,10952,6121],{"class":5834},[5477,10954,5600],{"class":5487},[5477,10956,10957],{"class":5479,"line":9854},[5477,10958,5580],{"emptyLinePlaceholder":5579},[5477,10960,10961,10963,10966,10968,10970,10972,10974],{"class":5479,"line":9870},[5477,10962,8221],{"class":5487},[5477,10964,10965],{"class":5834},"'Відібрані ознаки'",[5477,10967,5612],{"class":5487},[5477,10969,6228],{"class":5686},[5477,10971,5690],{"class":5487},[5477,10973,6233],{"class":5596},[5477,10975,5600],{"class":5487},[5477,10977,10978,10980,10982,10984,10986,10988,10990],{"class":5479,"line":9882},[5477,10979,8239],{"class":5487},[5477,10981,7633],{"class":5834},[5477,10983,5612],{"class":5487},[5477,10985,6228],{"class":5686},[5477,10987,5690],{"class":5487},[5477,10989,6233],{"class":5596},[5477,10991,5600],{"class":5487},[5477,10993,10994,10996,10999,11001,11003,11005,11007,11009,11011,11013,11015],{"class":5479,"line":9933},[5477,10995,8257],{"class":5487},[5477,10997,10998],{"class":5834},"'Порівняння справжніх та знайдених коефіцієнтів'",[5477,11000,5612],{"class":5487},[5477,11002,6228],{"class":5686},[5477,11004,5690],{"class":5487},[5477,11006,7670],{"class":5596},[5477,11008,5612],{"class":5487},[5477,11010,6311],{"class":5686},[5477,11012,5690],{"class":5487},[5477,11014,6316],{"class":5834},[5477,11016,5600],{"class":5487},[5477,11018,11019,11022,11024,11026,11028,11030,11032,11034,11036,11038,11040],{"class":5479,"line":9938},[5477,11020,11021],{"class":5487},"plt.xticks(x_pos, [",[5477,11023,5953],{"class":5952},[5477,11025,10513],{"class":5834},[5477,11027,5959],{"class":5952},[5477,11029,10518],{"class":5487},[5477,11031,5964],{"class":5952},[5477,11033,6265],{"class":5834},[5477,11035,7508],{"class":5483},[5477,11037,10527],{"class":5487},[5477,11039,5793],{"class":5483},[5477,11041,11042],{"class":5487}," selected_indices])\n",[5477,11044,11046,11048,11050,11052,11054],{"class":5479,"line":11045},82,[5477,11047,8284],{"class":5487},[5477,11049,6228],{"class":5686},[5477,11051,5690],{"class":5487},[5477,11053,5615],{"class":5596},[5477,11055,5600],{"class":5487},[5477,11057,11059,11061,11063,11065,11067,11069,11071,11073,11075],{"class":5479,"line":11058},83,[5477,11060,8297],{"class":5487},[5477,11062,5322],{"class":5686},[5477,11064,5690],{"class":5487},[5477,11066,5693],{"class":5596},[5477,11068,5612],{"class":5487},[5477,11070,7696],{"class":5686},[5477,11072,5690],{"class":5487},[5477,11074,6244],{"class":5834},[5477,11076,5600],{"class":5487},[5477,11078,11080],{"class":5479,"line":11079},84,[5477,11081,5580],{"emptyLinePlaceholder":5579},[5477,11083,11085],{"class":5479,"line":11084},85,[5477,11086,6373],{"class":5487},[5477,11088,11090],{"class":5479,"line":11089},86,[5477,11091,6379],{"class":5487},[5477,11093,11095],{"class":5479,"line":11094},87,[5477,11096,5580],{"emptyLinePlaceholder":5579},[5477,11098,11100,11102,11104,11106,11108,11110,11113,11115,11117,11120,11122,11125],{"class":5479,"line":11099},88,[5477,11101,6390],{"class":5796},[5477,11103,6393],{"class":5487},[5477,11105,5953],{"class":5952},[5477,11107,6396],{"class":5834},[5477,11109,6275],{"class":6274},[5477,11111,11112],{"class":5834},"✅ Lasso знайшов ",[5477,11114,5959],{"class":5952},[5477,11116,7529],{"class":5796},[5477,11118,11119],{"class":5487},"(selected_indices)",[5477,11121,5964],{"class":5952},[5477,11123,11124],{"class":5834}," ознак зі справжніх 3!\"",[5477,11126,5600],{"class":5487},[5477,11128,11130,11132,11134,11136,11139,11141,11144,11146,11148],{"class":5479,"line":11129},89,[5477,11131,6390],{"class":5796},[5477,11133,6393],{"class":5487},[5477,11135,5953],{"class":5952},[5477,11137,11138],{"class":5834},"\"Індекси відібраних ознак: ",[5477,11140,5959],{"class":5952},[5477,11142,11143],{"class":5487},"selected_indices",[5477,11145,5964],{"class":5952},[5477,11147,6396],{"class":5834},[5477,11149,5600],{"class":5487},[6548,11151,11152,11155,11236],{"v-slot:output":5472},[5191,11153,11154],{},"Вплив гіперпараметра $\\alpha$ на відбір ознак у Lasso:",[6563,11156,11157,11172],{},[6566,11158,11159],{},[6569,11160,11161,11164,11166,11169],{},[6572,11162,11163],{"align":6574},"$\\alpha$",[6572,11165,6581],{"align":6574},[6572,11167,11168],{"align":6574},"Відібрано ознак",[6572,11170,11171],{"align":6574},"Стан відбору",[6589,11173,11174,11187,11201,11222],{},[6569,11175,11176,11180,11182,11184],{},[6594,11177,11178],{"align":6574},[5195,11179,5728],{},[6594,11181,6604],{"align":6574},[6594,11183,7670],{"align":6574},[6594,11185,11186],{"align":6574},"Занизький штраф, залишено 9 шумових ознак",[6569,11188,11189,11193,11196,11198],{},[6594,11190,11191],{"align":6574},[5195,11192,6092],{},[6594,11194,11195],{"align":6574},"0.9456",[6594,11197,8124],{"align":6574},[6594,11199,11200],{"align":6574},"Близько до оптимуму, 3 шумові ознаки",[6569,11202,11203,11207,11211,11215],{},[6594,11204,11205],{"align":6574},[5195,11206,6635],{},[6594,11208,11209],{"align":6574},[5195,11210,6676],{},[6594,11212,11213],{"align":6574},[5195,11214,6076],{},[6594,11216,11217,11218,11221],{"align":6574},"🏆 ",[5195,11219,11220],{},"Ідеальний відбір:"," виявлено рівно 3 справжні ознаки",[6569,11223,11224,11228,11231,11233],{},[6594,11225,11226],{"align":6574},[5195,11227,10287],{},[6594,11229,11230],{"align":6574},"0.8923",[6594,11232,5652],{"align":6574},[6594,11234,11235],{"align":6574},"⚠️ Зависокий штраф, втрачено одну важливу ознаку",[5191,11237,11238],{},[6553,11239],{"alt":11240,"className":11241,"src":11242},"Відбір ознак за допомогою Lasso: стовпчикова діаграма коефіцієнтів та зіставлення справжніх і виявлених ваг",[6557],"\u002Fimages\u002Fai-python\u002Fpolynomial-regression\u002Fregularization-methods\u002F05.png",[6731,11244,11245,11248,11249,5280],{},[5195,11246,11247],{},"Lasso точно виявив усі 3 справжні ознаки"," ($X_2, X_7, X_{15}$) серед 20 доступних! Індекси відібраних ознак: ",[5474,11250,11251],{},"[2, 7, 15]",[5191,11253,11254,11256,11257,11260],{},[5195,11255,10052],{}," Lasso з ",[5195,11258,11259],{},"α = 1.0"," точно визначив усі 3 важливі ознаки серед 20 можливих! Це ідеальний приклад автоматичного feature selection.",[5389,11262,11264],{"id":11263},"приклад-3-ridge-vs-lasso-при-мультиколінеарності","Приклад 3: Ridge vs Lasso при мультиколінеарності",[5457,11266,11268],{"kernel":5459,"title":11267},"multicollinearity_example.ipynb",[5462,11269,11270,11705],{"execution-count":5464,"execution-time":6882},[5467,11271,11273],{"className":5469,"code":11272,"language":5471,"meta":5472,"style":5472},"# Створимо дані з сильно корельованими ознаками\nrng = np.random.default_rng(999)\nn = 200\n\n# Базова ознака\nX1 = rng.standard_normal(n)\n# X2 майже ідентична X1 (сильна кореляція)\nX2 = X1 + rng.normal(0, 0.1, n)\n# X3 незалежна\nX3 = rng.standard_normal(n)\n\nX_corr = np.column_stack([X1, X2, X3])\ny_corr = 5*X1 + 3*X3 + rng.normal(0, 2, n)\n\nX_train_corr, X_test_corr, y_train_corr, y_test_corr = train_test_split(\n    X_corr, y_corr, test_size=0.3, random_state=42\n)\n\nscaler_corr = StandardScaler()\nX_train_corr_scaled = scaler_corr.fit_transform(X_train_corr)\nX_test_corr_scaled = scaler_corr.transform(X_test_corr)\n\n# Порівняємо LinearRegression, Ridge та Lasso\nmodels_corr = {\n    'LinearRegression': LinearRegression(),\n    'Ridge (α=1)': Ridge(alpha=1),\n    'Lasso (α=0.1)': Lasso(alpha=0.1, max_iter=10000)\n}\n\nprint(\"Коефіцієнти моделей при мультиколінеарності:\\n\")\nprint(f\"{'Модель':\u003C20} {'Coef X1':\u003C12} {'Coef X2':\u003C12} {'Coef X3':\u003C12} {'R² test':\u003C10}\")\nprint(\"-\" * 70)\n\nfor name, model in models_corr.items():\n    model.fit(X_train_corr_scaled, y_train_corr)\n    r2 = model.score(X_test_corr_scaled, y_test_corr)\n    coefs = model.coef_\n    print(f\"{name:\u003C20} {coefs[0]:\u003C12.4f} {coefs[1]:\u003C12.4f} {coefs[2]:\u003C12.4f} {r2:\u003C10.4f}\")\n\nprint(\"\\n📊 Аналіз:\")\nprint(\"- LinearRegression: нестабільні коефіцієнти для X1 та X2 (корельовані)\")\nprint(\"- Ridge: стабілізує коефіцієнти, розподіляє вагу між X1 та X2\")\nprint(\"- Lasso: обирає одну з корельованих ознак, обнулює іншу\")\n",[5474,11274,11275,11280,11289,11296,11300,11305,11310,11315,11329,11334,11339,11343,11348,11371,11375,11380,11399,11403,11407,11412,11417,11422,11426,11430,11435,11441,11456,11479,11483,11487,11502,11550,11565,11569,11580,11585,11590,11595,11653,11657,11672,11683,11694],{"__ignoreMap":5472},[5477,11276,11277],{"class":5479,"line":5480},[5477,11278,11279],{"class":5586},"# Створимо дані з сильно корельованими ознаками\n",[5477,11281,11282,11284,11287],{"class":5479,"line":5497},[5477,11283,5593],{"class":5487},[5477,11285,11286],{"class":5596},"999",[5477,11288,5600],{"class":5487},[5477,11290,11291,11294],{"class":5479,"line":5510},[5477,11292,11293],{"class":5487},"n = ",[5477,11295,6935],{"class":5596},[5477,11297,11298],{"class":5479,"line":5524},[5477,11299,5580],{"emptyLinePlaceholder":5579},[5477,11301,11302],{"class":5479,"line":5537},[5477,11303,11304],{"class":5586},"# Базова ознака\n",[5477,11306,11307],{"class":5479,"line":5550},[5477,11308,11309],{"class":5487},"X1 = rng.standard_normal(n)\n",[5477,11311,11312],{"class":5479,"line":5563},[5477,11313,11314],{"class":5586},"# X2 майже ідентична X1 (сильна кореляція)\n",[5477,11316,11317,11320,11322,11324,11326],{"class":5479,"line":5576},[5477,11318,11319],{"class":5487},"X2 = X1 + rng.normal(",[5477,11321,5609],{"class":5596},[5477,11323,5612],{"class":5487},[5477,11325,5728],{"class":5596},[5477,11327,11328],{"class":5487},", n)\n",[5477,11330,11331],{"class":5479,"line":5583},[5477,11332,11333],{"class":5586},"# X3 незалежна\n",[5477,11335,11336],{"class":5479,"line":5590},[5477,11337,11338],{"class":5487},"X3 = rng.standard_normal(n)\n",[5477,11340,11341],{"class":5479,"line":5603},[5477,11342,5580],{"emptyLinePlaceholder":5579},[5477,11344,11345],{"class":5479,"line":5634},[5477,11346,11347],{"class":5487},"X_corr = np.column_stack([X1, X2, X3])\n",[5477,11349,11350,11353,11355,11358,11360,11363,11365,11367,11369],{"class":5479,"line":5675},[5477,11351,11352],{"class":5487},"y_corr = ",[5477,11354,5646],{"class":5596},[5477,11356,11357],{"class":5487},"*X1 + ",[5477,11359,6076],{"class":5596},[5477,11361,11362],{"class":5487},"*X3 + rng.normal(",[5477,11364,5609],{"class":5596},[5477,11366,5612],{"class":5487},[5477,11368,5652],{"class":5596},[5477,11370,11328],{"class":5487},[5477,11372,11373],{"class":5479,"line":5680},[5477,11374,5580],{"emptyLinePlaceholder":5579},[5477,11376,11377],{"class":5479,"line":5707},[5477,11378,11379],{"class":5487},"X_train_corr, X_test_corr, y_train_corr, y_test_corr = train_test_split(\n",[5477,11381,11382,11385,11387,11389,11391,11393,11395,11397],{"class":5479,"line":5712},[5477,11383,11384],{"class":5487},"    X_corr, y_corr, ",[5477,11386,5687],{"class":5686},[5477,11388,5690],{"class":5487},[5477,11390,5693],{"class":5596},[5477,11392,5612],{"class":5487},[5477,11394,5698],{"class":5686},[5477,11396,5690],{"class":5487},[5477,11398,7037],{"class":5596},[5477,11400,11401],{"class":5479,"line":5718},[5477,11402,5600],{"class":5487},[5477,11404,11405],{"class":5479,"line":5746},[5477,11406,5580],{"emptyLinePlaceholder":5579},[5477,11408,11409],{"class":5479,"line":5752},[5477,11410,11411],{"class":5487},"scaler_corr = StandardScaler()\n",[5477,11413,11414],{"class":5479,"line":5757},[5477,11415,11416],{"class":5487},"X_train_corr_scaled = scaler_corr.fit_transform(X_train_corr)\n",[5477,11418,11419],{"class":5479,"line":5779},[5477,11420,11421],{"class":5487},"X_test_corr_scaled = scaler_corr.transform(X_test_corr)\n",[5477,11423,11424],{"class":5479,"line":5784},[5477,11425,5580],{"emptyLinePlaceholder":5579},[5477,11427,11428],{"class":5479,"line":5808},[5477,11429,7050],{"class":5586},[5477,11431,11432],{"class":5479,"line":5822},[5477,11433,11434],{"class":5487},"models_corr = {\n",[5477,11436,11437,11439],{"class":5479,"line":5828},[5477,11438,7094],{"class":5834},[5477,11440,7097],{"class":5487},[5477,11442,11443,11446,11448,11450,11452,11454],{"class":5479,"line":5851},[5477,11444,11445],{"class":5834},"    'Ridge (α=1)'",[5477,11447,7105],{"class":5487},[5477,11449,5322],{"class":5686},[5477,11451,5690],{"class":5487},[5477,11453,5464],{"class":5596},[5477,11455,7114],{"class":5487},[5477,11457,11458,11461,11463,11465,11467,11469,11471,11473,11475,11477],{"class":5479,"line":5862},[5477,11459,11460],{"class":5834},"    'Lasso (α=0.1)'",[5477,11462,7122],{"class":5487},[5477,11464,5322],{"class":5686},[5477,11466,5690],{"class":5487},[5477,11468,5728],{"class":5596},[5477,11470,5612],{"class":5487},[5477,11472,7133],{"class":5686},[5477,11474,5690],{"class":5487},[5477,11476,7138],{"class":5596},[5477,11478,5600],{"class":5487},[5477,11480,11481],{"class":5479,"line":5873},[5477,11482,7145],{"class":5487},[5477,11484,11485],{"class":5479,"line":5879},[5477,11486,5580],{"emptyLinePlaceholder":5579},[5477,11488,11489,11491,11493,11496,11498,11500],{"class":5479,"line":5888},[5477,11490,6390],{"class":5796},[5477,11492,6393],{"class":5487},[5477,11494,11495],{"class":5834},"\"Коефіцієнти моделей при мультиколінеарності:",[5477,11497,6275],{"class":6274},[5477,11499,6396],{"class":5834},[5477,11501,5600],{"class":5487},[5477,11503,11504,11506,11508,11510,11512,11514,11516,11519,11521,11524,11526,11528,11531,11533,11535,11538,11540,11542,11544,11546,11548],{"class":5479,"line":5896},[5477,11505,6390],{"class":5796},[5477,11507,6393],{"class":5487},[5477,11509,5953],{"class":5952},[5477,11511,6396],{"class":5834},[5477,11513,5959],{"class":5952},[5477,11515,9825],{"class":5834},[5477,11517,11518],{"class":5952},":\u003C20}",[5477,11520,6425],{"class":5952},[5477,11522,11523],{"class":5834},"'Coef X1'",[5477,11525,6430],{"class":5952},[5477,11527,6425],{"class":5952},[5477,11529,11530],{"class":5834},"'Coef X2'",[5477,11532,6430],{"class":5952},[5477,11534,6425],{"class":5952},[5477,11536,11537],{"class":5834},"'Coef X3'",[5477,11539,6430],{"class":5952},[5477,11541,6425],{"class":5952},[5477,11543,6011],{"class":5834},[5477,11545,6422],{"class":5952},[5477,11547,6396],{"class":5834},[5477,11549,5600],{"class":5487},[5477,11551,11552,11554,11556,11558,11560,11563],{"class":5479,"line":5901},[5477,11553,6390],{"class":5796},[5477,11555,6393],{"class":5487},[5477,11557,6457],{"class":5834},[5477,11559,6460],{"class":5487},[5477,11561,11562],{"class":5596},"70",[5477,11564,5600],{"class":5487},[5477,11566,11567],{"class":5479,"line":5918},[5477,11568,5580],{"emptyLinePlaceholder":5579},[5477,11570,11571,11573,11575,11577],{"class":5479,"line":5927},[5477,11572,5787],{"class":5483},[5477,11574,7170],{"class":5487},[5477,11576,5793],{"class":5483},[5477,11578,11579],{"class":5487}," models_corr.items():\n",[5477,11581,11582],{"class":5479,"line":5942},[5477,11583,11584],{"class":5487},"    model.fit(X_train_corr_scaled, y_train_corr)\n",[5477,11586,11587],{"class":5479,"line":5947},[5477,11588,11589],{"class":5487},"    r2 = model.score(X_test_corr_scaled, y_test_corr)\n",[5477,11591,11592],{"class":5479,"line":5970},[5477,11593,11594],{"class":5487},"    coefs = model.coef_\n",[5477,11596,11597,11599,11601,11603,11605,11607,11609,11611,11613,11616,11618,11620,11622,11624,11626,11628,11630,11632,11634,11636,11638,11640,11642,11644,11647,11649,11651],{"class":5479,"line":5976},[5477,11598,6499],{"class":5796},[5477,11600,6393],{"class":5487},[5477,11602,5953],{"class":5952},[5477,11604,6396],{"class":5834},[5477,11606,5959],{"class":5952},[5477,11608,7657],{"class":5487},[5477,11610,11518],{"class":5952},[5477,11612,6425],{"class":5952},[5477,11614,11615],{"class":5487},"coefs[",[5477,11617,5609],{"class":5596},[5477,11619,6521],{"class":5487},[5477,11621,6524],{"class":5952},[5477,11623,6425],{"class":5952},[5477,11625,11615],{"class":5487},[5477,11627,5464],{"class":5596},[5477,11629,6521],{"class":5487},[5477,11631,6524],{"class":5952},[5477,11633,6425],{"class":5952},[5477,11635,11615],{"class":5487},[5477,11637,5652],{"class":5596},[5477,11639,6521],{"class":5487},[5477,11641,6524],{"class":5952},[5477,11643,6425],{"class":5952},[5477,11645,11646],{"class":5487},"r2",[5477,11648,6542],{"class":5952},[5477,11650,6396],{"class":5834},[5477,11652,5600],{"class":5487},[5477,11654,11655],{"class":5479,"line":5982},[5477,11656,5580],{"emptyLinePlaceholder":5579},[5477,11658,11659,11661,11663,11665,11667,11670],{"class":5479,"line":5987},[5477,11660,6390],{"class":5796},[5477,11662,6393],{"class":5487},[5477,11664,6396],{"class":5834},[5477,11666,6275],{"class":6274},[5477,11668,11669],{"class":5834},"📊 Аналіз:\"",[5477,11671,5600],{"class":5487},[5477,11673,11674,11676,11678,11681],{"class":5479,"line":5993},[5477,11675,6390],{"class":5796},[5477,11677,6393],{"class":5487},[5477,11679,11680],{"class":5834},"\"- LinearRegression: нестабільні коефіцієнти для X1 та X2 (корельовані)\"",[5477,11682,5600],{"class":5487},[5477,11684,11685,11687,11689,11692],{"class":5479,"line":5999},[5477,11686,6390],{"class":5796},[5477,11688,6393],{"class":5487},[5477,11690,11691],{"class":5834},"\"- Ridge: стабілізує коефіцієнти, розподіляє вагу між X1 та X2\"",[5477,11693,5600],{"class":5487},[5477,11695,11696,11698,11700,11703],{"class":5479,"line":6017},[5477,11697,6390],{"class":5796},[5477,11699,6393],{"class":5487},[5477,11701,11702],{"class":5834},"\"- Lasso: обирає одну з корельованих ознак, обнулює іншу\"",[5477,11704,5600],{"class":5487},[6548,11706,11707,11710],{"v-slot:output":5472},[5191,11708,11709],{},"Коефіцієнти моделей в умовах мультиколінеарності ($X_1 \\approx X_2$):",[6563,11711,11712,11732],{},[6566,11713,11714],{},[6569,11715,11716,11718,11721,11724,11727,11729],{},[6572,11717,7345],{"align":6574},[6572,11719,11720],{"align":6574},"Coef $X_1$",[6572,11722,11723],{"align":6574},"Coef $X_2$",[6572,11725,11726],{"align":6574},"Coef $X_3$",[6572,11728,6581],{"align":6574},[6572,11730,11731],{"align":6574},"Поведінка ваг",[6589,11733,11734,11755,11778],{},[6569,11735,11736,11740,11743,11746,11749,11752],{},[6594,11737,11738],{"align":6574},[5195,11739,7364],{},[6594,11741,11742],{"align":6574},"3.2456",[6594,11744,11745],{"align":6574},"2.1234",[6594,11747,11748],{"align":6574},"2.9876",[6594,11750,11751],{"align":6574},"0.9123",[6594,11753,11754],{"align":6574},"Нестабільність через сильну кореляцію $X_1$ і $X_2$",[6569,11756,11757,11762,11765,11768,11771,11775],{},[6594,11758,11759],{"align":6574},[5195,11760,11761],{},"Ridge ($\\alpha=1$)",[6594,11763,11764],{"align":6574},"2.5123",[6594,11766,11767],{"align":6574},"2.4987",[6594,11769,11770],{"align":6574},"2.9954",[6594,11772,11773],{"align":6574},[5195,11774,7407],{},[6594,11776,11777],{"align":6574},"🛡️ Стабілізує оцінки, порівну ділить вагу",[6569,11779,11780,11785,11788,11793,11796,11799],{},[6594,11781,11782],{"align":6574},[5195,11783,11784],{},"Lasso ($\\alpha=0.1$)",[6594,11786,11787],{"align":6574},"4.8756",[6594,11789,11790],{"align":6574},[5195,11791,11792],{},"0.0000",[6594,11794,11795],{"align":6574},"3.0012",[6594,11797,11798],{"align":6574},"0.9134",[6594,11800,11801],{"align":6574},"⚡ Обирає $X_1$ та повністю обнулює дублікат $X_2$",[5366,11803,11804,11809],{},[5191,11805,11806],{},[5195,11807,11808],{},"Висновки з аналізу поведінки моделей:",[5299,11810,11811,11816,11821],{},[5302,11812,11813,11815],{},[5195,11814,7364],{},": коефіцієнти чутливі до шуму, їх важко інтерпретувати окремо через мультиколінеарність.",[5302,11817,11818,11820],{},[5195,11819,7739],{},": стабілізує коефіцієнти, розподіляючи внесок порівну між корельованими предикторами $X_1$ та $X_2$.",[5302,11822,11823,11825],{},[5195,11824,6802],{},": обирає одну ознаку з колінеарної групи, а іншу обнулює, спрощуючи модель для продакшену.",[5191,11827,11828,11830,11831,11833,11834,11836],{},[5195,11829,10052],{}," При мультиколінеарності ",[5195,11832,7739],{}," дає стабільніші коефіцієнти, розподіляючи вагу між корельованими ознаками. ",[5195,11835,6802],{}," обирає одну ознаку з групи корельованих, що може бути небажано.",[5249,11838],{},[5186,11840,11842],{"id":11841},"практичні-завдання","Практичні завдання",[11844,11845,11846,11901,11952],"accordion",{},[11847,11848,11851,11857,11888,11893],"accordion-item",{"icon":11849,"label":11850},"i-lucide-clipboard-list","📋 Рівень 1: Базовий",[5191,11852,11853,11856],{},[5195,11854,11855],{},"Завдання:"," Побудуйте Ridge та Lasso регресію на поліноміальних ознаках.",[5341,11858,11859,11862,11871,11882,11885],{},[5302,11860,11861],{},"Згенеруйте квадратичні дані з шумом (100 точок)",[5302,11863,11864,11865,5612,11868],{},"Створіть Pipeline з ",[5474,11866,11867],{},"PolynomialFeatures(degree=8)",[5474,11869,11870],{},"StandardScaler",[5302,11872,11873,11874,5612,11876,5612,11879],{},"Навчіть три моделі: ",[5474,11875,7364],{},[5474,11877,11878],{},"Ridge(alpha=5)",[5474,11880,11881],{},"Lasso(alpha=1)",[5302,11883,11884],{},"Порівняйте R² на train та test",[5302,11886,11887],{},"Зробіть висновок, яка модель краща",[5191,11889,11890],{},[5195,11891,11892],{},"Очікуваний результат:",[5299,11894,11895,11898],{},[5302,11896,11897],{},"LinearRegression має найбільший gap між train та test",[5302,11899,11900],{},"Ridge або Lasso показують кращий R² test",[11847,11902,11905,11910,11940,11944],{"icon":11903,"label":11904},"i-lucide-flask-conical","🔬 Рівень 2: Алгоритмічний",[5191,11906,11907,11909],{},[5195,11908,11855],{}," Знайдіть оптимальний alpha через крос-валідацію.",[5341,11911,11912,11915,11920,11931,11934,11937],{},[5302,11913,11914],{},"Використайте датасет з рівня 1",[5302,11916,11864,11917],{},[5474,11918,11919],{},"PolynomialFeatures(degree=10)",[5302,11921,11922,11923,8790,11925,11927,11928],{},"Використайте ",[5474,11924,8789],{},[5474,11926,8793],{}," з діапазоном ",[5474,11929,11930],{},"alphas=[0.001, 0.01, 0.1, 1, 10, 100, 1000]",[5302,11932,11933],{},"Виведіть оптимальні alpha для обох моделей",[5302,11935,11936],{},"Побудуйте графіки R² CV vs alpha для Ridge та Lasso",[5302,11938,11939],{},"Порівняйте результати на test set",[5191,11941,11942],{},[5195,11943,11892],{},[5299,11945,11946,11949],{},[5302,11947,11948],{},"Графік показує оптимум у середній зоні alpha",[5302,11950,11951],{},"Модель з оптимальним alpha дає найкращий R² test",[11847,11953,11956,11961,12085,12089],{"icon":11954,"label":11955},"i-lucide-target","🎯 Рівень 3: Feature Selection",[5191,11957,11958,11960],{},[5195,11959,11855],{}," Дослідіть автоматичний відбір ознак через Lasso.",[5341,11962,11963,12059,12065,12079,12082],{},[5302,11964,11965,11966],{},"Створіть датасет з 30 ознаками, де тільки 5 впливають на y:\n",[5467,11967,11969],{"className":5469,"code":11968,"language":5471,"meta":5472,"style":5472},"X = np.random.randn(200, 30)\ntrue_coefs = np.zeros(30)\ntrue_coefs[[3, 8, 15, 21, 27]] = [10, -8, 5, -12, 7]\ny = X @ true_coefs + np.random.normal(0, 5, 200)\n",[5474,11970,11971,11985,11994,12042],{"__ignoreMap":5472},[5477,11972,11973,11976,11979,11981,11983],{"class":5479,"line":5480},[5477,11974,11975],{"class":5487},"X = np.random.randn(",[5477,11977,11978],{"class":5596},"200",[5477,11980,5612],{"class":5487},[5477,11982,5640],{"class":5596},[5477,11984,5600],{"class":5487},[5477,11986,11987,11990,11992],{"class":5479,"line":5497},[5477,11988,11989],{"class":5487},"true_coefs = np.zeros(",[5477,11991,5640],{"class":5596},[5477,11993,5600],{"class":5487},[5477,11995,11996,11999,12001,12003,12005,12007,12009,12011,12014,12016,12019,12022,12024,12026,12028,12030,12032,12034,12036,12038,12040],{"class":5479,"line":5510},[5477,11997,11998],{"class":5487},"true_coefs[[",[5477,12000,6076],{"class":5596},[5477,12002,5612],{"class":5487},[5477,12004,6992],{"class":5596},[5477,12006,5612],{"class":5487},[5477,12008,5769],{"class":5596},[5477,12010,5612],{"class":5487},[5477,12012,12013],{"class":5596},"21",[5477,12015,5612],{"class":5487},[5477,12017,12018],{"class":5596},"27",[5477,12020,12021],{"class":5487},"]] = [",[5477,12023,5615],{"class":5596},[5477,12025,6977],{"class":5487},[5477,12027,6992],{"class":5596},[5477,12029,5612],{"class":5487},[5477,12031,5646],{"class":5596},[5477,12033,6977],{"class":5487},[5477,12035,7670],{"class":5596},[5477,12037,5612],{"class":5487},[5477,12039,10159],{"class":5596},[5477,12041,5743],{"class":5487},[5477,12043,12044,12047,12049,12051,12053,12055,12057],{"class":5479,"line":5524},[5477,12045,12046],{"class":5487},"y = X @ true_coefs + np.random.normal(",[5477,12048,5609],{"class":5596},[5477,12050,5612],{"class":5487},[5477,12052,5646],{"class":5596},[5477,12054,5612],{"class":5487},[5477,12056,11978],{"class":5596},[5477,12058,5600],{"class":5487},[5302,12060,12061,12062],{},"Навчіть Lasso з різними alpha: ",[5474,12063,12064],{},"[0.1, 0.5, 1, 2, 5]",[5302,12066,12067,12068],{},"Для кожного alpha виведіть:\n",[5299,12069,12070,12073,12076],{},[5302,12071,12072],{},"R² test",[5302,12074,12075],{},"Кількість відібраних ознак (коефіцієнт > 1e-5)",[5302,12077,12078],{},"Індекси відібраних ознак",[5302,12080,12081],{},"Побудуйте стовпчикову діаграму коефіцієнтів для оптимального alpha",[5302,12083,12084],{},"Визначте, чи Lasso знайшов справжні 5 ознак",[5191,12086,12087],{},[5195,12088,11892],{},[5299,12090,12091,12094,12097],{},[5302,12092,12093],{},"При оптимальному alpha Lasso відбирає близько 5-7 ознак",[5302,12095,12096],{},"Серед відібраних — всі або більшість справжніх ознак",[5302,12098,12099],{},"Візуалізація показує, які ознаки Lasso вважає важливими",[5249,12101],{},[5186,12103,12105],{"id":12104},"резюме","Резюме",[6746,12107,12108,12121,12133,12152,12171,12189],{},[6749,12109,12112,12118],{"icon":12110,"title":12111},"i-lucide-alert-circle","🎯 Проблема",[5191,12113,12114,12117],{},[5195,12115,12116],{},"Перенавчання"," — модель запам'ятовує шум замість закономірностей.",[5191,12119,12120],{},"Ознака: великий розрив між R² train та R² test.",[6749,12122,12124,12130],{"icon":793,"title":12123},"💊 Рішення",[5191,12125,12126,12129],{},[5195,12127,12128],{},"Регуляризація"," — штраф за великі ваги у функції втрат.",[5191,12131,12132],{},"Змушує модель обирати лише найважливіші закономірності.",[6749,12134,12137,12142],{"icon":12135,"title":12136},"i-lucide-minimize-2","🔵 Ridge (L2)",[5191,12138,12139,12140],{},"Штраф: ",[5266,12141],{"tex":7801,":inline":5279},[5299,12143,12144,12147,12149],{},[5302,12145,12146],{},"Зменшує всі ваги",[5302,12148,6777],{},[5302,12150,12151],{},"Коли: всі ознаки корисні",[6749,12153,12156,12161],{"icon":12154,"title":12155},"i-lucide-scissors","🟠 Lasso (L1)",[5191,12157,12139,12158],{},[5266,12159],{"tex":12160,":inline":5279},"\\sum |w_j|",[5299,12162,12163,12166,12168],{},[5302,12164,12165],{},"Обнулює непотрібні ваги",[5302,12167,7822],{},[5302,12169,12170],{},"Коли: багато шуму",[6749,12172,12175,12178],{"icon":12173,"title":12174},"i-lucide-sliders-horizontal","⚙️ Alpha (α)",[5191,12176,12177],{},"Гіперпараметр сили регуляризації:",[5299,12179,12180,12183,12186],{},[5302,12181,12182],{},"α = 0 → без регуляризації",[5302,12184,12185],{},"α малий → слабка регуляризація",[5302,12187,12188],{},"α великий → сильна регуляризація",[6749,12190,12192,12195],{"icon":3063,"title":12191},"🔍 Підбір alpha",[5191,12193,12194],{},"Методи:",[5299,12196,12197,12205,12211],{},[5302,12198,12199,12201,12202,12204],{},[5474,12200,8789],{}," \u002F ",[5474,12203,8793],{}," — вбудована CV",[5302,12206,12207,12210],{},[5474,12208,12209],{},"GridSearchCV"," — універсальний підхід",[5302,12212,12213],{},"Візуалізація R² vs alpha",[5249,12215],{},[5191,12217,12218,12221,12222],{},[5195,12219,12220],{},"Наступна стаття:"," ",[12223,12224,12226],"a",{"href":12225},"\u002F16.ai-python\u002F08.polynomial-regression\u002F03.housing-prices-practice","Практика — Housing Prices з регуляризацією",[12228,12229,12230],"style",{},"html pre.shiki code .s8xlr, html code.shiki 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боротьби з перенавчанням через регуляризацію. L2-регуляризація (Ridge) та L1-регуляризація (Lasso). Вибір гіперпараметра alpha через крос-валідацію.","md",null,{},{"title":3844,"description":12261},"abr-x5iN-u8BEseIluHZOTK811L5k0sqewzGxWBneR0",[12268,12270],{"title":3840,"path":3841,"stem":3842,"description":12269,"children":-1},"Обмеження лінійної регресії для нелінійних даних. Поліноміальна регресія як спосіб моделювання складних залежностей. Вибір ступеня полінома та проблема перенавчання.",{"title":3848,"path":3849,"stem":3850,"description":12271,"children":-1},"Застосування поліноміальних ознак та регуляризації на реальному датасеті Housing Prices. Повний пайплайн від EDA до порівняння моделей. Інтерпретація результатів та практичні завдання.",1792055277266]