{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Poniższe ćwiczenie obrazuje użycie metod bagging i boosting do trenowania modeli uczenia maszynowego. Obie rodziny metod znane są pod nazwą klasyfikacji grupowej (ang. *ensemble methods*)\n", "\n", " * **bagging**: polega na niezależnym wytrenowaniu zbioru słabych klasyfikatorów, których odpowiedzi są następnie uśredniane. Jeśli błędy popełniane przez klasyfikatory są od siebie niezależne, to użycie zbioru klasyfikatorów istotnie obniża prawdopodobieństwo popełnienia błędu przez większość\n", " * **boosting**: polega na sukcesywnym trenowaniu kolejnych klasyfikatorów, każdy kolejny klasyfikator otrzymuje na wejście listę błędów popełnionych przez poprzedni klasyfikator" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:02:50.243783Z", "start_time": "2020-06-10T20:02:49.712940Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:02:51.212165Z", "start_time": "2020-06-10T20:02:50.972655Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# generowanie sztucznych danych\n", "\n", "generate = lambda x: x / 2 + (x // 10) % 2 * 20 * x / 5 + np.random.random() * 10\n", "\n", "X = np.arange(0, 60).reshape(-1,1)\n", "y = [generate(x)[0] for x in X]\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.scatter(X, y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Boosting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pierwszym modelem jaki przetestujemy będzie najprostszy model liniowy" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:02:57.654396Z", "start_time": "2020-06-10T20:02:57.082346Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn import linear_model\n", "\n", "linear_regressor = linear_model.LinearRegression()\n", "linear_regressor.fit(X,y)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.title(\"Linear Regression\")\n", "plt.scatter(X, y)\n", "plt.plot(X, linear_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Żeby zbadać jakość modelu narysujmy wartości resztowe" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:02.617571Z", "start_time": "2020-06-10T20:03:02.457518Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title(\"Residuals of Linear Regression model\")\n", "plt.scatter(X, y - linear_regressor.predict(X), color='green')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Spróbujemy poprawić powyższy model korzystając z techniki *boosting*. Zaczniemy od najprostszego modelu składającego się z jednego drzewa decyzyjnego o głębokości 1" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:10.153861Z", "start_time": "2020-06-10T20:03:10.101821Z" } }, "outputs": [ { "data": { "text/plain": [ "GradientBoostingRegressor(alpha=0.9, ccp_alpha=0.0, criterion='mse', init=None,\n", " learning_rate=1, loss='ls', max_depth=1,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=1,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn import ensemble\n", "\n", "params = {\n", " 'n_estimators': 1,\n", " 'max_depth': 1,\n", " 'learning_rate': 1,\n", " 'criterion': 'mse'\n", "}\n", "\n", "gradient_boosting_regressor = ensemble.GradientBoostingRegressor(**params)\n", "gradient_boosting_regressor.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:12.405368Z", "start_time": "2020-06-10T20:03:12.246476Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title('Gradient Boosting model (1 estimator, depth 1)')\n", "plt.scatter(X, y)\n", "plt.plot(X, gradient_boosting_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jeszcze raz spróbujmy obejrzeć wartości resztowe" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:18.607566Z", "start_time": "2020-06-10T20:03:18.440232Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title(\"Residuals of Gradient Boosting model (1 estimator, depth 1)\")\n", "plt.scatter(X, y - gradient_boosting_regressor.predict(X), color='green')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-05-19T20:32:42.132440Z", "start_time": "2019-05-19T20:32:42.129394Z" } }, "source": [ "Jak widać, w przedziale [30,40] model popełnia bardzo duże błędy. Można im zapobiec dodając kolejny model do sekwencji." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:30.183454Z", "start_time": "2020-06-10T20:03:30.177112Z" } }, "outputs": [ { "data": { "text/plain": [ "GradientBoostingRegressor(alpha=0.9, ccp_alpha=0.0, criterion='mse', init=None,\n", " learning_rate=1, loss='ls', max_depth=1,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=2,\n", " n_iter_no_change=None, presort='deprecated',\n", " random_state=None, subsample=1.0, tol=0.0001,\n", " validation_fraction=0.1, verbose=0, warm_start=False)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params['n_estimators'] = 2\n", "\n", "gradient_boosting_regressor = ensemble.GradientBoostingRegressor(**params)\n", "gradient_boosting_regressor.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:32.042611Z", "start_time": "2020-06-10T20:03:31.864138Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title('Gradient Boosting model (2 estimators)')\n", "plt.scatter(X, y)\n", "plt.plot(X, gradient_boosting_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jak widać, drugie drzewa działa dla X=30 i generuje tam nową wartość. Możemy zatem spróbować dopasować wiele estymatorów w sekwencji" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:46.660996Z", "start_time": "2020-06-10T20:03:46.185465Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(2, 2, figsize=(15, 10))\n", "\n", "for idx, n_estimators in enumerate([5, 10, 20, 50]):\n", " params['n_estimators'] = n_estimators\n", "\n", " gradient_boosting_regressor = ensemble.GradientBoostingRegressor(**params)\n", "\n", " gradient_boosting_regressor.fit(X, y)\n", " subplot = ax[idx // 2][idx % 2]\n", " subplot.set_title(f'Gradient Boosting model ({n_estimators} estimators)')\n", " subplot.scatter(X, y)\n", " subplot.plot(X, gradient_boosting_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zobaczmy, co się stanie, jeśli dla ustalonej liczby drzew pozwolimy indywidualnym drzewom znajdować więcej niż 1 punkt podziału" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:03:56.288904Z", "start_time": "2020-06-10T20:03:55.766048Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "params['n_estimators'] = 10\n", "\n", "f, ax = plt.subplots(2, 2, figsize=(15, 10))\n", "\n", "for idx, max_depth in enumerate([1, 2, 3, 5]):\n", " params['max_depth'] = max_depth\n", "\n", " gradient_boosting_regressor = ensemble.GradientBoostingRegressor(**params)\n", "\n", " gradient_boosting_regressor.fit(X, y)\n", " subplot = ax[idx // 2][idx % 2]\n", " subplot.set_title(f'Gradient Boosting model ({max_depth} depth)')\n", " subplot.scatter(X, y)\n", " subplot.plot(X, gradient_boosting_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bagging" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Jako przykład metody *bagging* użyjemy najprostszej wersji metody, która buduje pewną liczbę modeli tego samego typu, za każdym razem używając próbki typu *bootstrap*, w której ze zbioru *n* elementów losujemy n-krotnie element ze zwracaniem. W uzyskanej w ten sposób próbce około $(1-\\frac{1}{e})=63.2\\%$ elementów jest unikalnych." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:04:13.252558Z", "start_time": "2020-06-10T20:04:13.139659Z" } }, "outputs": [ { "data": { "text/plain": [ "BaggingRegressor(base_estimator=DecisionTreeRegressor(ccp_alpha=0.0,\n", " criterion='mse',\n", " max_depth=None,\n", " max_features=None,\n", " max_leaf_nodes=None,\n", " min_impurity_decrease=0.0,\n", " min_impurity_split=None,\n", " min_samples_leaf=1,\n", " min_samples_split=2,\n", " min_weight_fraction_leaf=0.0,\n", " presort='deprecated',\n", " random_state=None,\n", " splitter='best'),\n", " bootstrap=True, bootstrap_features=False, max_features=1.0,\n", " max_samples=1.0, n_estimators=100, n_jobs=None,\n", " oob_score=False, random_state=None, verbose=0,\n", " warm_start=False)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn import tree\n", "\n", "params = {\n", " 'base_estimator': tree.DecisionTreeRegressor(),\n", " 'n_estimators': 100\n", "}\n", "\n", "bagging_regressor = ensemble.BaggingRegressor(**params)\n", "bagging_regressor.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:07:32.223155Z", "start_time": "2020-06-10T20:07:32.042901Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title('Bagging Reggression model')\n", "plt.scatter(X, y)\n", "plt.plot(X, bagging_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:04:15.206355Z", "start_time": "2020-06-10T20:04:15.033870Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title(\"Residuals of Bagging Regression model\")\n", "plt.scatter(X, y - bagging_regressor.predict(X), color='green')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Alternatywą dla takiego podejścia jest dobrze już znana technika losowych lasów" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:04:22.235826Z", "start_time": "2020-06-10T20:04:22.122174Z" } }, "outputs": [ { "data": { "text/plain": [ "RandomForestRegressor(bootstrap=True, ccp_alpha=0.0, criterion='mse',\n", " max_depth=5, max_features='auto', max_leaf_nodes=None,\n", " max_samples=None, min_impurity_decrease=0.0,\n", " min_impurity_split=None, min_samples_leaf=1,\n", " min_samples_split=2, min_weight_fraction_leaf=0.0,\n", " n_estimators=100, n_jobs=None, oob_score=False,\n", " random_state=None, verbose=0, warm_start=False)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params = {\n", " 'max_depth': 5,\n", " 'n_estimators': 100,\n", " 'criterion': 'mse'\n", "}\n", "\n", "random_forest_regressor = ensemble.RandomForestRegressor(**params)\n", "random_forest_regressor.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:08:10.741415Z", "start_time": "2020-06-10T20:08:10.522874Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "plt.title('Random Forest Reggression model')\n", "plt.scatter(X, y)\n", "plt.plot(X, random_forest_regressor.predict(X), color='r')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2020-06-10T20:04:23.295851Z", "start_time": "2020-06-10T20:04:23.125113Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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