{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "WWg0ewYSzvLd" }, "source": [ "#**Регуляризация**" ] }, { "cell_type": "markdown", "metadata": { "id": "2TziCGe_P-0o" }, "source": [ "## Переобучение и недообучение" ] }, { "cell_type": "markdown", "source": [ "## **Bias (Смещение) и Variance (Дисперсия) в Машинном Обучении** \n", "\n", ">Представьте, что вы стрелок в тире: \n", "**Мишень** — это истинная закономерность в данных\n", "**Ваши выстрелы** — это предсказания вашей модели\n", "\n", "1. Что такое **Bias (Смещение)**? \n", "**Bias** — это систематическая ошибка, возникающая когда модель слишком упрощена и не может выучить сложные закономерности в данных.\n", "\n", ">Как выглядит: \n", ">* Модель постоянно \"промахивается\" мимо цели \n", ">* Недостаточно гибкая, чтобы описать истинную природу данных \n", ">* Примеры: линейная регрессия на нелинейных данных, постоянное предсказание среднего значения\n", ">\n", ">Характеристики высокого bias:\n", ">* Модель слишком простая \n", ">* Плохо работает на тренировочных данных \n", ">* Плохо работает на тестовых данных \n", ">* Недообучение (Underfitting) \n", "\n", "2. Что такое **Variance (Дисперсия)**? \n", "**Variance** — это чувствительность модели к небольшим колебаниям в тренировочных данных. Показывает, насколько сильно меняются предсказания модели при изменении тренировочного набора.\n", "\n", ">Как выглядит:\n", ">* Выстрелы разбросаны по всей мишени\n", ">* Модель слишком подстраивается под шум в данных\n", ">* Примеры: очень глубокие деревья решений, полиномы высокой степени\n", ">\n", ">Характеристики высокой variance:\n", ">* Модель слишком сложная\n", ">* Отлично работает на тренировочных данных\n", ">* Плохо работает на тестовых данных\n", ">* Переобучение (Overfitting)\n", "\n", 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)" ], "metadata": { "id": "5pluIYToAdhJ" } }, { "cell_type": "markdown", "source": [ "Ошибка предсказания можно разложить на три компоненты: \n", "\n", "$$ Total Error = Bias² + Variance + Irreducible Error $$ \n", "\n", "Где:\n", "\n", "* Bias² — квадрат смещения (насколько в среднем наши предсказания отличаются от истинных)\n", "\n", "* Variance — дисперсия (насколько наши предсказания \"разбросаны\")\n", "\n", "* Irreducible Error — неустранимая ошибка (шум в данных, который невозможно убрать)\n", "\n", "\n", "![Bias_and_variance_contributing_to_total_error.svg.png](data:image/png;base64,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)" ], "metadata": { "id": "ufdOnk77CTOu" } }, { "cell_type": "code", "metadata": { "id": "4Z3SLoEqzFhT" }, "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.pipeline import Pipeline\n", "from sklearn.preprocessing import PolynomialFeatures\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.model_selection import cross_val_score" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "`true_fun` — это наша \"истинная\", неизвестная модель, которую мы пытаемся восстановить. В данном случае это: $ cos(1.5πx) $\n", "\n", "Генерируются 30 случайных точек `X` и соответствующие значения `y`, которые представляют собой значения \"истинной\" функции с добавленным Гауссовым шумом (стандартное отклонение 0.1). Это имитирует реальные данные, которые всегда содержат некоторую погрешность измерений." ], "metadata": { "id": "gYH5FnYN8rH7" } }, { "cell_type": "code", "metadata": { "id": "Al8hsVAAzAqo" }, "source": [ "def true_fun(X):\n", " return np.cos(1.5 * np.pi * X)\n", "\n", "np.random.seed(0) # Для воспроизводимости результатов\n", "\n", "n_samples = 30\n", "degrees = [1, 4, 15]\n", "\n", "X = np.sort(np.random.rand(n_samples)) # 30 случайных точек на отрезке [0, 1]\n", "y = true_fun(X) + np.random.randn(n_samples) * 0.1 # Значения \"истинной\" функции + шум" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Основной цикл: обучение и визуализация для каждой степени полинома\n", "\n", "Для каждой степени полинома из списка [1, 4, 15] выполняется один и тот же процесс:\n", "1. **Создание пайплайна**: \n", "Pipeline — это мощный инструмент Scikit-learn, который объединяет два шага: \n", "`PolynomialFeatures`: Преобразует одну признаковую переменную X в полиномиальные признаки. Например, для degree=4 и одного признака x он создаст признаки [x, x², x³, x⁴]. \n", "`LinearRegression`: Обучает модель линейной регрессии на этих новых признаках. \n", " **Важно: модель все еще линейна относительно коэффициентов, но она может иметь нелинейные зависимости, потому что сами признаки нелинейны.**\n", "\n", "2. **Обучение и оценка**: \n", "`pipeline.fit` обучает модель на всех сгенерированных данных. \n", "`cross_val_score` оценивает качество модели с помощью 10-кратной кросс-валидации, используя отрицательную среднеквадратичную ошибку (Negative MSE). \n", "Ошибка отрицательная, потому что в Scikit-learn соглашение такое, что большее значение оценки, тем лучше. Поэтому мы используем `-scores.mean()`\n", "\n", "3. **Визуализация**: \n", "Строится три графика: \n", "* Предсказание модели (синяя линия) — как модель аппроксимирует данные. \n", "* Истинная функция (оранжевая линия) — с чем мы сравниваем. \n", "* Исходные данные (точки) — зашумленные данные, на которых обучалась модель.\n", "\n" ], "metadata": { "id": "uelaCMPn9O-Z" } }, { "cell_type": "code", "metadata": { "id": "rnWOkX7Yy_Lo" }, "source": [ "plt.figure(figsize=(14, 5))\n", "for i in range(len(degrees)):\n", " ax = plt.subplot(1, len(degrees), i + 1)\n", " plt.setp(ax, xticks=(), yticks=())\n", "\n", " # Обучение\n", " polynomial_features = PolynomialFeatures(degree=degrees[i],\n", " include_bias=False)\n", " linear_regression = LinearRegression()\n", " pipeline = Pipeline([(\"polynomial_features\", polynomial_features),\n", " (\"linear_regression\", linear_regression)])\n", " pipeline.fit(X[:, np.newaxis], y)\n", "\n", " # Оценка\n", " scores = cross_val_score(pipeline, X[:, np.newaxis], y,\n", " scoring=\"neg_mean_squared_error\", cv=10)\n", "\n", " # Визуализация\n", " X_test = np.linspace(0, 1, 100)\n", " plt.plot(X_test, pipeline.predict(X_test[:, np.newaxis]), label=\"Model\")\n", " plt.plot(X_test, true_fun(X_test), label=\"True function\")\n", " plt.scatter(X, y, edgecolor='b', s=20, label=\"Samples\")\n", " plt.xlabel(\"x\")\n", " plt.ylabel(\"y\")\n", " plt.xlim((0, 1))\n", " plt.ylim((-2, 2))\n", " plt.legend(loc=\"best\")\n", " plt.title(\"Degree {}\\nMSE = {:.2e}(+/- {:.2e})\".format(\n", " degrees[i], -scores.mean(), scores.std()))\n", "plt.show()" ], "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "* **Degree = 1** (Недообучение / High Bias):\n", "\n", ">Модель слишком простая (прямая линия), чтобы уловить истинную природу данных (косинусоиду). \n", "Она не может хорошо описать ни тренировочные данные, ни общую закономерность. \n", "Высокое смещение, низкая дисперсия.\n", "\n", "* **Degree = 4** (Хорошая модель / \"Золотая середина\"):\n", "\n", ">Полиномиальная кривая хорошо следует за истинной функцией. \n", "Она улавливает основную закономерность, не обращая излишнего внимания на шум. \n", "MSE наименьшая среди трех моделей.\n", "\n", "* **Degree = 15** (Переобучение / High Variance):\n", "\n", ">Модель чересчур сложная. Она пытается пройти через каждую точку, включая шумовые выбросы. \n", "На тренировочных данных ошибка была бы очень низкой, но на новых, невиданных данных, она покажет плохой результат. \n", "Кривая сильно осциллирует. Это классический признак переобучения. \n", "Низкое смещение, высокая дисперсия." ], "metadata": { "id": "rsBheiNb-4j_" } }, { "cell_type": "markdown", "source": [ "Диагностика проблем модели\n", "* Высокий bias? → Усложните модель\n", "* Высокая variance? → Упростите модель или соберите больше данных\n", "\n", "Цель — создать модель, которая хорошо работает на новых данных, а не только на тех, на которых обучалась.\n", "\n", "Понимание bias-variance tradeoff помогает:\n", "\n", "* Не тратить время на сбор лишних данных (если проблема в bias)\n", "* Не усложнять модель без необходимости (если проблема в variance)" ], "metadata": { "id": "2Etj096ODfGm" } }, { "cell_type": "markdown", "metadata": { "id": "kuRcwRwHQBYh" }, "source": [ "## Регуляризация" ] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.datasets import load_diabetes\n", "\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import mean_squared_error, r2_score\n", "from sklearn.linear_model import Ridge, RidgeCV\n", "from sklearn.model_selection import train_test_split, KFold" ], "metadata": { "id": "1z6yJvHYFGw5" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Загружаем данные\n", "X, y = load_diabetes(return_X_y=True)" ], "metadata": { "id": "NEGRntJ7FIOx" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "X.shape" ], "metadata": { "id": "DUoepBbdFMJr" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "y.shape" ], "metadata": { "id": "9sAlc-NxFR02" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# 60% train / 20% validation / 20% test\n", "X_train, X_temp, y_train, y_temp = train_test_split(X, y, test_size=0.4, random_state=0)\n", "X_val, X_test, y_val, y_test = train_test_split(X_temp, y_temp, test_size=0.5, random_state=0)" ], "metadata": { "id": "zmFaCFIQFT3m" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "alphas = np.logspace(-5, 5, 30)\n", "alphas" ], "metadata": { "id": "9kdRtxCGFVIl" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "mse_train, mse_val = [], []\n", "\n", "# Обучаем Ridge-регрессию с разными alpha и считаем MSE\n", "for alpha in alphas:\n", " ridge = Ridge(alpha=alpha)\n", " ridge.fit(X_train, y_train)\n", " y_pred_train = ridge.predict(X_train)\n", " y_pred_val = ridge.predict(X_val)\n", " mse_train.append(mean_squared_error(y_train, y_pred_train))\n", " mse_val.append(mean_squared_error(y_val, y_pred_val))\n" ], "metadata": { "id": "M2MuGyLdGkq9" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Визуализируем MSE на train и validation\n", "plt.figure(figsize=(8, 5))\n", "plt.semilogx(alphas, mse_train, label=\"Ошибка на обучении\", linewidth=2)\n", "plt.semilogx(alphas, mse_val, label=\"Ошибка на валидации\", linewidth=2)\n", "plt.xlabel(\"Коэффициент регуляризации (alpha)\")\n", "plt.ylabel(\"Среднеквадратичная ошибка (MSE)\")\n", "plt.title(\"Зависимость ошибки от alpha (Train vs Validation)\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ], "metadata": { "id": "xcPp8Z8kGolC" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Определяем alpha с минимальной ошибкой на validation\n", "best_alpha_val = alphas[np.argmin(mse_val)]\n", "print(f\"🔍 Лучшее alpha по валидации: {best_alpha_val:.7f}\")" ], "metadata": { "id": "nLIn5xNUIJ8G" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Подбор alpha по кросс-валидации (5-Fold)\n", "cv = KFold(n_splits=5, shuffle=True, random_state=0)\n", "mean_cv_mse = []\n", "\n", "X_combined = np.concatenate([X_train, X_val], axis=0)\n", "y_combined = np.concatenate([y_train, y_val], axis=0)\n", "\n", "for alpha in alphas:\n", " ridge = Ridge(alpha=alpha)\n", " # cross_val_score возвращает отрицательные значения MSE (чем меньше, тем лучше)\n", " scores = -cross_val_score(ridge, X_combined, y_combined, cv=cv, scoring='neg_mean_squared_error')\n", " mean_cv_mse.append(np.mean(scores))\n", "\n", "# Определяем лучшее alpha\n", "best_alpha_cv = alphas[np.argmin(mean_cv_mse)]\n", "print(f\"Оптимальное alpha по кросс-валидации: {best_alpha_cv:.3f}\")\n", "\n", "# Визуализируем зависимость MSE от alpha по результатам кросс-валидации\n", "plt.figure(figsize=(8, 5))\n", "plt.semilogx(alphas, mean_cv_mse, marker='o', linewidth=2, label='Среднее MSE (5-Fold CV)')\n", "plt.axvline(best_alpha_cv, color='red', linestyle='--', label=f\"Лучшее alpha = {best_alpha_cv:.3f}\")\n", "plt.xlabel(\"Коэффициент регуляризации (alpha)\")\n", "plt.ylabel(\"Средняя ошибка (MSE, 5-Fold CV)\")\n", "plt.title(\"Подбор коэффициента регуляризации по кросс-валидации\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ], "metadata": { "id": "aKfrfAp1IeSg" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Проверяем качество модели без регуляризации\n", "ridge_best = Ridge(alpha=0.0)\n", "ridge_best.fit(X_combined, y_combined)\n", "y_pred_test = ridge_best.predict(X_test)" ], "metadata": { "id": "AQzC5gsmLtiy" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "mse_test = mean_squared_error(y_test, y_pred_test)\n", "print(f\"MSE на тестовых данных: {mse_test:.3f}\")" ], "metadata": { "id": "72-XatJfLvnl" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "r2_test = r2_score(y_test, y_pred_test)\n", "print(f\"R2 на тестовых данных: {r2_test:.3f}\")" ], "metadata": { "id": "HgQBFiTjLwCK" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "# Проверяем качество модели с лучшим alpha на тесте\n", "ridge_best = Ridge(alpha=best_alpha_val)\n", "ridge_best.fit(X_combined, y_combined)\n", "y_pred_test = ridge_best.predict(X_test)" ], "metadata": { "id": "4VuB8Zb0Kc2O" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "mse_test = mean_squared_error(y_test, y_pred_test)\n", "print(f\"MSE на тестовых данных: {mse_test:.3f}\")" ], "metadata": { "id": "lgZcbdbOKhnD" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "r2_test = r2_score(y_test, y_pred_test)\n", "print(f\"R2 на тестовых данных: {r2_test:.3f}\")" ], "metadata": { "id": "uHPS_limKjiT" }, "execution_count": null, "outputs": [] } ] }