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@y-uti
Created March 14, 2019 12:00
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社内勉強会で過学習と正則化について説明したスライドに対応する Notebook ファイルです。
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 過学習と正則化"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"動作確認環境"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Python: 3.7.2 (default, Jan 2 2019, 17:07:39) [MSC v.1915 64 bit (AMD64)]\n",
"matplotlib: 3.0.2\n",
"numpy: 1.15.4\n",
"sklearn: 0.20.2\n",
"seaborn: 0.9.0\n"
]
}
],
"source": [
"# import sys\n",
"# import matplotlib, numpy, sklearn, seaborn\n",
"\n",
"# print('Python: {}'.format(sys.version))\n",
"# for module in [matplotlib, numpy, sklearn, seaborn]:\n",
"# print('{}: {}'.format(module.__name__, module.__version__))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"実行中の警告メッセージで絶対パス等の情報が露出するため Gist へのアップロード時には警告を抑制する"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# import warnings\n",
"\n",
"# warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 準備"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notebook 上でグラフを描画するための設定"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"必要なモジュールをインポートする"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"再現性のために乱数の seed を設定する"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(12345)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"sklearn.datasets.make_circles 関数を利用して人工的なデータを生成する"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.datasets import make_circles\n",
"\n",
"def gen_random_dataset(n=100):\n",
" return make_circles(n, noise=0.1, factor=0.8)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"features, labels = gen_random_dataset()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"データの分布を確認する"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def plot_dataset(features, labels, lim=None):\n",
" plt.figure(figsize=(6, 6))\n",
" sns.scatterplot(x=features[:, 0], y=features[:, 1], hue=labels)\n",
" if lim is not None:\n",
" plt.xlim(-lim, lim)\n",
" plt.ylim(-lim, lim)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_dataset(features, labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ロジスティック回帰モデルによる分類"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"LogisticRegression を用いてモデルを学習する"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(C=1e+100, class_weight=None, dual=False,\n",
" fit_intercept=True, intercept_scaling=1, max_iter=100,\n",
" multi_class='warn', n_jobs=None, penalty='l2', random_state=None,\n",
" solver='lbfgs', tol=0.0001, verbose=0, warm_start=False)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"\n",
"# 正則化なしの結果を確認したいので C に大きな値を設定する\n",
"clf = LogisticRegression(C=1e100, solver='lbfgs')\n",
"clf.fit(features, labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"サンプルデータを分類して正解率を計算する"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def calc_accuracy(classifier, features, labels):\n",
" predicted = classifier.predict(features)\n",
" correct = sum(predicted == labels)\n",
" total =len(labels)\n",
" return correct / total, correct, total\n",
"\n",
"def show_accuracy(classifier, features, labels):\n",
" accuracy, correct, total = calc_accuracy(classifier, features, labels)\n",
" print('Accuracy: {} ({}/{})'.format(accuracy, correct, total))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy: 0.52 (52/100)\n"
]
}
],
"source": [
"show_accuracy(clf, features, labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"データセットに決定境界を重ねて描画する。関数の処理は以下のとおり\n",
"\n",
"- まずサンプルデータを描画する\n",
"- 描画範囲を取得する\n",
"- その範囲を x, y 方向それぞれ resolution 等分して格子点を得る\n",
"- classifier を利用して各格子点の座標を 0, 1 に分類する\n",
"- 0.5 を等高線のレベルとする等高線プロットを描くことで決定境界を描画する"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"def plot_dataset_with_boundary(classifier, features, labels, resolution=400):\n",
" plot_dataset(features, labels)\n",
" xmin, xmax, ymin, ymax = plt.axis()\n",
" X, Y = np.meshgrid(np.linspace(xmin, xmax, resolution),\n",
" np.linspace(ymin, ymax, resolution))\n",
" Z = classifier.predict(\n",
" [[x, y] for x, y in zip(X.flatten(), Y.flatten())]).flatten().reshape(X.shape)\n",
" plt.contourf(X, Y, Z, levels=[0, 0.5, 1], colors=['blue', 'orange'], alpha=0.15)\n",
" plt.contour(X, Y, Z, levels=[0.5], colors='k')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_dataset_with_boundary(clf, features, labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 多項式特徴量"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"特徴量を掛け合わせることで特徴量の次元を増やす\n",
"\n",
"- 以下の例では元の特徴量 x, y を 3 回まで掛け合わせて (degree=3) 新たな特徴量 (polynomial_features) を得ている\n",
"- interaction_only を True に設定すると同じ特徴量を 2 回以上掛け合わせた組み合わせが除外される\n",
"- include_bias を False に設定すると定数項が除外される"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-0.65413735 0.66312837]\n",
"[ 1. -0.65413735 0.66312837 0.42789567 -0.43377703 0.43973923\n",
" -0.27990254 0.28374976 -0.28764986 0.29160356]\n"
]
}
],
"source": [
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"polynomial_features = PolynomialFeatures(\n",
" degree=3, interaction_only=False, include_bias=True).fit_transform(features)\n",
"\n",
"print(features[0,:])\n",
"print(polynomial_features[0,:])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 多項式特徴量 + ロジスティック回帰"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"特徴量の次元を増やしてロジスティック回帰を適用する"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.pipeline import Pipeline\n",
"\n",
"def create_pipeline(degree, classifier):\n",
" return Pipeline(steps=[\n",
" ('poly', PolynomialFeatures(degree=degree, interaction_only=False, include_bias=False)),\n",
" ('clf', classifier),\n",
" ])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy: 1.0 (100/100)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pipeline = create_pipeline(degree=8, classifier=LogisticRegression(C=1e100, solver='lbfgs', max_iter=10000))\n",
"pipeline.fit(features, labels)\n",
"show_accuracy(pipeline, features, labels)\n",
"plot_dataset_with_boundary(pipeline, features, labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 過学習"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"同じ分布から生成される別のデータセットを分類してみる"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy: 0.61 (61/100)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"test_features, test_labels = gen_random_dataset()\n",
"show_accuracy(pipeline, test_features, test_labels)\n",
"plot_dataset_with_boundary(pipeline, test_features, test_labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"多項式特徴量の次数ごとに学習データとテストデータの正解率をプロットする"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"degrees = range(1, 16)\n",
"training_accuracies = []\n",
"test_accuracies = []\n",
"\n",
"for d in degrees:\n",
" # モデルを学習する\n",
" pipeline = create_pipeline(degree=d, classifier=LogisticRegression(C=1e100, solver='lbfgs', max_iter=10000))\n",
" pipeline.fit(features, labels)\n",
" # 学習データに対する正解率を計算する\n",
" acc, _, _ = calc_accuracy(pipeline, features, labels)\n",
" training_accuracies.append(acc)\n",
" # テストデータに対する正解率を計算する\n",
" acc, _, _ = calc_accuracy(pipeline, test_features, test_labels)\n",
" test_accuracies.append(acc)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('Accuracies by degree')\n",
"plt.xlabel('Degree')\n",
"plt.ylabel('Accuracy')\n",
"plt.ylim((0.45, 1.05))\n",
"plt.plot(degrees, training_accuracies, 'o-', label='Training')\n",
"plt.plot(degrees, test_accuracies, 'o-', label='Test')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 正則化"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"多項式特徴量の次数を固定してコストの大きさを変えながらモデルを学習する"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"degree = 8\n",
"costs = np.power(10.0, np.linspace(-10, 10, 201))\n",
"coefs = []\n",
"intercepts = []\n",
"training_accuracies = []\n",
"test_accuracies = []\n",
"\n",
"for c in costs:\n",
" # モデルを学習する\n",
" pipeline = create_pipeline(degree=degree, classifier=LogisticRegression(C=c, solver='lbfgs', max_iter=10000))\n",
" pipeline.fit(features, labels)\n",
" # 特徴量の重みを保存する\n",
" clf = pipeline.named_steps['clf']\n",
" coefs.append(clf.coef_[0])\n",
" intercepts.append(clf.intercept_[0])\n",
" # 学習データに対する正解率を計算する\n",
" acc, _, _ = calc_accuracy(pipeline, features, labels)\n",
" training_accuracies.append(acc)\n",
" # テストデータに対する正解率を計算する\n",
" acc, _, _ = calc_accuracy(pipeline, test_features, test_labels)\n",
" test_accuracies.append(acc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"コストの大きさによる正解率の変化"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('Accuracies by cost (degree = {})'.format(degree))\n",
"plt.xlabel('Cost')\n",
"plt.ylabel('Accuracy')\n",
"plt.xscale('log')\n",
"plt.ylim((0.45, 1.05))\n",
"plt.plot(costs, training_accuracies, label='Training')\n",
"plt.plot(costs, test_accuracies, label='Test')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"コストの大きさによる特徴量の重みと切片の変化"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('Weights by cost (degree = {})'.format(degree))\n",
"plt.xlabel('Cost')\n",
"plt.ylabel('Weights')\n",
"plt.xscale('log')\n",
"plt.yscale('symlog')\n",
"plt.plot(costs, coefs)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('L2-norm of weights and intercept by cost (degree = {})'.format(degree))\n",
"plt.xlabel('Cost')\n",
"plt.ylabel('Value')\n",
"plt.xscale('log')\n",
"plt.yscale('symlog')\n",
"plt.plot(costs, np.linalg.norm(coefs, ord=2, axis=1), label='L2-norm of weights')\n",
"plt.plot(costs, intercepts, label='Intercept')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## L1-正則化"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"penalty を l1 として結果を比較する"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"degree = 8\n",
"costs = np.power(10.0, np.linspace(-6, 6, 121))\n",
"coefs = []\n",
"intercepts = []\n",
"training_accuracies = []\n",
"test_accuracies = []\n",
"\n",
"for c in costs:\n",
" # モデルを学習する\n",
" pipeline = create_pipeline(degree=degree, classifier=LogisticRegression(C=c, solver='liblinear', penalty='l1', max_iter=10000))\n",
" pipeline.fit(features, labels)\n",
" # 特徴量の重みを保存する\n",
" clf = pipeline.named_steps['clf']\n",
" coefs.append(clf.coef_[0])\n",
" intercepts.append(clf.intercept_[0])\n",
" # 学習データに対する正解率を計算する\n",
" acc, _, _ = calc_accuracy(pipeline, features, labels)\n",
" training_accuracies.append(acc)\n",
" # テストデータに対する正解率を計算する\n",
" acc, _, _ = calc_accuracy(pipeline, test_features, test_labels)\n",
" test_accuracies.append(acc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"コストの大きさによる正解率の変化"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('Accuracies by cost (degree = {})'.format(degree))\n",
"plt.xlabel('Cost')\n",
"plt.ylabel('Accuracy')\n",
"plt.xscale('log')\n",
"plt.ylim((0.45, 1.05))\n",
"plt.plot(costs, training_accuracies, label='Training')\n",
"plt.plot(costs, test_accuracies, label='Test')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"コストの大きさによる特徴量の重みと切片の変化"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('Weights by cost (degree = {})'.format(degree))\n",
"plt.xlabel('Cost')\n",
"plt.ylabel('Weights')\n",
"plt.xscale('log')\n",
"plt.yscale('symlog')\n",
"plt.plot(costs, coefs)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 4))\n",
"plt.title('L1-norm of weights and intercept by cost (degree = {})'.format(degree))\n",
"plt.xlabel('Cost')\n",
"plt.ylabel('Value')\n",
"plt.xscale('log')\n",
"plt.yscale('symlog')\n",
"plt.plot(costs, np.linalg.norm(coefs, ord=2, axis=1), label='L2-norm of weights')\n",
"plt.plot(costs, intercepts, label='Intercept')\n",
"plt.legend()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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