{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 線形モデル" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 線形モデルによる回帰" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import mglearn\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.model_selection import train_test_split\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "線形モデルによる一般的な予測式。 \n", "wとbは学習されたモデルのパラメータ。 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\hat{y} = w[0] \\times x[0] \\times w[1] \\times x[1] ... w[p] \\times x[p] + b$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "損失関数" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$E(w) = \\sum_{i=1}^{n} (yi- \\hat{yi})^2$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w[0]: 0.393906 b: -0.031804\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import mglearn\n", "import matplotlib.pyplot as plt\n", "\n", "mglearn.plots.plot_linear_regression_wave()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "KNNに比べると直線で予測するのは制約が強すぎると感じるかもしれない。 \n", "ターゲットのyが線形和で表すことができるという仮定を置いていいる。 \n", "1次元データの場合は歪んで見えるが、多次元の特徴量を持つ場合に線形モデルは非常に強力。 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 線形回帰(通常最小二乗法)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "通常最小二乗法(OLS)は最も単純で最も古典的な線形回帰手法。 \n", "線形回帰ではターゲットyとの平均2乗誤差が最小になるように、パラメータwとbを求める。" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "from sklearn.model_selection import train_test_split\n", "X, y = mglearn.datasets.make_wave(n_samples=60)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42)\n", "lr = LinearRegression().fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lr.coef_: [ 0.39390555]\n", "lr.intercept_: -0.031804343026759746\n" ] } ], "source": [ "# w: 傾きを表すパラメータ: 重み, 係数\n", "print(\"lr.coef_: {}\".format(lr.coef_))\n", "# y: 切片\n", "print(\"lr.intercept_: {}\".format(lr.intercept_))\n", "\n", "#scikitlearnではユーザーが設定してないパラメータはintercept_などアンダースコアがついてる。" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.67\n", "Test set score: 0.66\n" ] } ], "source": [ "print(\"Training set score: {:.2f}\".format(lr.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(lr.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "学習スコアはそこまで良くないが、テストスコアと似てる。 \n", "1次元データの場合はモデルが非常に単純なので過剰適合の危険は少ない。 \n", "高次元のデータの場合は線形モデルはより強力になるために、過剰適合の可能性が高くなる。 " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X, y = mglearn.datasets.load_extended_boston()\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n", "lr = LinearRegression().fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(506, 104)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "高次元をグラフ化するとこうなっちゃう。" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "df = pd.DataFrame(X)\n", "plt.plot(df)\n", "plt.tick_params(\n", " axis='x', # changes apply to the x-axis\n", " which='both', # both major and minor ticks are affected\n", " bottom='off', # ticks along the bottom edge are off\n", " top='off', # ticks along the top edge are off\n", " labelbottom='off') # labels along the bottom edge are off" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "df = pd.DataFrame(X[:10])\n", "plt.plot(df)\n", "plt.tick_params(\n", " axis='x', # changes apply to the x-axis\n", " which='both', # both major and minor ticks are affected\n", " bottom='off', # ticks along the bottom edge are off\n", " top='off', # ticks along the top edge are off\n", " labelbottom='off') # labels along the bottom edge are off" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.95\n", "Test set score: 0.61\n" ] } ], "source": [ "print(\"Training set score: {:.2f}\".format(lr.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(lr.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "訓練スコアとテストスコアの性能が大きくなるのは過剰適合の兆候。 \n", "複雑度を制御できるモデルを探さなければならない。 \n", "標準的な線形回帰に代わる最も一般的な手法はリッジ回帰だ。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## リッジ回帰(線形回帰にL2正則化を施したもの)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "リッジ回帰は線形モデルの回帰の一つ。 \n", "予測に用いられる式は通常の最小二乗法のものと同じ。 \n", "係数(w)を訓練データに対する予測だけでなく、他の制約に対しても最適化する。 \n", "係数の絶対値の大きさを可能な限り小さくしたい。 \n", "つまりwの要素をなるべく0に近くしたい。直感的には予測をうまく行いつつ、個々の特徴量が出力に与える影響をなるべく少なくする(傾きを小さくしたい) \n", "この制約条件は正則化の一例。正則化とは過剰適合と防ぐために明示的にモデルを制約すること。 \n", "リッジ回帰で用いられている正則化はL2正則化と呼ばれる。" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.89\n", "Test set score: 0.75\n" ] } ], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "ridge = Ridge().fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(ridge.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(ridge.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "結果を見るとLinearRegressionよりテストスコアが高い。 \n", "これは期待通りで、過剰適合していたのをL2正則化で抑えた。 \n", "複雑度の低いモデルは、訓練データに対する性能は低いが汎化性能は高い。 \n", "alphaパラメータを用いてモデルの簡潔さと訓練データに対する性能がトレードオフになる。 " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.79\n", "Test set score: 0.64\n" ] } ], "source": [ "ridge10 = Ridge(alpha=10).fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(ridge10.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(ridge10.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "alphaを小さくすると係数の制約は小さくなる。" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.93\n", "Test set score: 0.77\n" ] } ], "source": [ "ridge01 = Ridge(alpha=0.1).fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(ridge01.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(ridge01.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1.45195306, -1.55625501, -1.45850339])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ridge.coef_[:3]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "正則化の影響を見る方法としてcoef_がある。 \n", "正則化(alpha)を強くした方が中心に集まってる。" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ridge.coef_, 's', label=\"Ridge alpha=1\")\n", "plt.plot(ridge10.coef_, '^', label=\"Ridge alpha=10\")\n", "plt.plot(ridge01.coef_, 'v', label=\"Ridge alpha=0.1\")\n", "\n", "plt.plot(lr.coef_, 'v', label=\"LinearRegression\")\n", "plt.xlabel(\"Coefficient index\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.hlines(0, 0, len(lr.coef_))\n", "plt.ylim(-25, 25)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "もう一つの正則化の影響を見る方法としてalphaを固定して訓練データ量を変えて見る。 \n", "図はリッジ回帰と線形回帰の学習曲線。 \n", "十分なデータ量があるときは正則化は不要に見える。 \n" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_ridge_n_samples()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### まとめ\n", "\n", "リッジ回帰は正則化されているため、訓練スコアは線形回帰より低い。\n", "しかしリッジ回帰はテストスコアでは線形回帰より高い。\n", "\n", "訓練データが沢山あれば、リッジ回帰も線形回帰も同じ性能を示す。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lasso回帰(線形回帰にL1正則化を施したもの)\n", "\n", "幾つかの特徴量が無視される" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ridgeに代わる線形回帰としてLassoがある。 \n", "L1正則化を使う。L1正則化の結果、いくつかの係数が完全に0になる。 \n", "どの特徴量が重要なのか明らかになる。" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.29\n", "Test set score: 0.21\n", "Number of features used: 4\n" ] } ], "source": [ "from sklearn.linear_model import Lasso\n", "import numpy as np\n", "\n", "lasso = Lasso().fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(lasso.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(lasso.score(X_test, y_test)))\n", "print(\"Number of features used: {}\".format(np.sum(lasso.coef_ != 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "適合不足。4つの特徴しか使ってないのでalphaを減らす。" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.90\n", "Test set score: 0.77\n", "Number of features used: 33\n" ] } ], "source": [ "lasso001 = Lasso(alpha=0.01, max_iter=100000).fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(lasso001.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(lasso001.score(X_test, y_test)))\n", "print(\"Number of features used: {}\".format(np.sum(lasso001.coef_ != 0)))" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.95\n", "Test set score: 0.64\n", "Number of features used: 94\n" ] } ], "source": [ "lasso00001 = Lasso(alpha=0.0001, max_iter=100000).fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(lasso00001.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(lasso00001.score(X_test, y_test)))\n", "print(\"Number of features used: {}\".format(np.sum(lasso00001.coef_ != 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "実際に使う場合はRidgeを使うと良い。特徴量が多くて重要なものがわずかしかない予測がされる場合はLassoの方が解釈しやすいモデルが得られる。" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(lasso.coef_, 's', label=\"Lasso alpha=1\")\n", "plt.plot(lasso001.coef_, '^', label=\"Lasso alpha=0.01\")\n", "plt.plot(lasso00001.coef_, 'v', label=\"Lasso alpha=0.0001\")\n", "\n", "plt.plot(ridge01.coef_, 'v', label=\"Ridge alpha=0.1\")\n", "plt.legend(ncol=2, loc=(0, 1.05))\n", "plt.ylim(-25, 25)\n", "plt.xlabel(\"Coefficient index\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# ElasticNet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "LassoとRidgeのペナルティを組み合わせたクラス。L1とL2のパラメータを調整する必要がある。" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.33\n", "Test set score: 0.22\n", "Number of features used: 38\n" ] } ], "source": [ "from sklearn.linear_model import ElasticNet\n", "import numpy as np\n", "\n", "elastic = ElasticNet().fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(elastic.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(elastic.score(X_test, y_test)))\n", "print(\"Number of features used: {}\".format(np.sum(elastic.coef_ != 0)))" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.86\n", "Test set score: 0.72\n", "Number of features used: 84\n" ] } ], "source": [ "elastic = ElasticNet(alpha=0.01, max_iter=100000).fit(X_train, y_train)\n", "print(\"Training set score: {:.2f}\".format(elastic.score(X_train, y_train)))\n", "print(\"Test set score: {:.2f}\".format(elastic.score(X_test, y_test)))\n", "print(\"Number of features used: {}\".format(np.sum(elastic.coef_ != 0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## クラス分類の為の線形モデル" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "線形モデルはクラス分類にも使われている。 \n", "予測式" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\hat{y} = w[0] \\times x[0] \\times w[1] \\times x[1] ... w[p] \\times x[p] + b > 0$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "線形回帰と似ているが予測された値が0をお超えるかどうかで分類している。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### ロジスティック回帰とSVM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "決定境界の上と下でクラスが違う。" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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a5BfADHPvkxmmH0bIL90WQ3V1dZhaWYUdhxuQPX8dLvzmb5A9fx12HG7A1Moq1NXVxeV1jbTeRzxmShjhl9aMzHjjRCPTKr8AZhgzTH+MkF+6HDNks9kwtbIKOTetRubo8UMed5w6js7da3Hk0AFUVFTE7HW1uqYZqXgs32+UG0aajVY3TuSYofBplV8AM8x3nwG3YYYllJY3fjX0AOqly5Zjx+EG5MxZHHCbzr1bsaCyDJs3bYzZ6wb7I9LbH0+8Zkok092KKXoshsKnVX4BzDCAGUbeDF0M5RcVI3v+OqQXlAXcprfVjq5dq9HW3BiT1wx0RjX4uM7OrDhTghKBxVD4tMgvgBlG5I+hZ5O1t7UgLa8k6DZpucXoaGuJ2Wsa4ZqmG2dKEOmXFvkFMMOIopGmdQP8yc0vRN/ZxqBnVn3tTbDkF8bsNQ+88zb2HejExn3Bt5vd81bMXjNSwWdKOB/nmRWRNrTIL4AZRhQNXfYM1SxaBMex14Nu4zi6B7fVLIrZa8ZrvY9Y40wJIn3TIr8AZhhRNHRZDD2w4n44jr4Gx6njfh93nDoOx7E9WLl8WYJbpj0jdYUTmRHzKzhmGOmRLi+TVVRUYOf2WlQvrEHvxOuQOek6pOUWo6+9CY6je+A4tgc7t9fGfFqqERipK5zIjJhfwTHDSI90WQwBwLx583Dk0AE89vgTeKF2NTraWmDJL8RtNYuwcmvs1+cwCq27uIloeMyvwJhhpEe6nFpPRPrAqfVEZGShZphue4aIiIiIwqGUQktLCxoaGpCamhry81gMERERkSEopdDZ2YmGhgbU19ejsbER9fX1aGhoQENDAxobG9Hb2wsAmD59esj7ZTFEREREuuFwOAaLG89Cx/117tw5r+0tFgusVivGjBmDWbNmwWq1wmq1YvTo0Xj44YdDek0WQ0RERJQwfX19OHPmjFeB4y566uvrcfbsWa/tMzIyYLVaUVpaiokTJw4WO+6v7OzsqNvEYoiIiIhiRimF1tZWr0LH83LWmTNnMDAwMLh9SkoKiouLYbVaMXPmTJSWlqK0tHSw2MnLy4OIxLXNLIaIiIgoLO5xO/4uZzU2NqKnp8dr+8LCQlitVkyYMMGrV6e0tBRFRUVhDXaOBxZDRERE5KWnp2fIWB3Pgqerq8tr++zsbFitVlx00UWoqqoaLHRKSkpgtVqRkZGh0ZGEhsUQERGRyfT393uN2/EdqNza2uq1fUZGxmBhc/nllw9exnL/NxbjdrTEYoiIiCjJKKXQ1tYWsGenqalpyLidUaNGobS0FDNmzBgySLmgoCDu43a0xGKIiIjIgLq6uoZcyvIsenzH7eTn58NqtWLcuHGYO3fukHE7aWnmLQnMe+REREQ61tPTg6amJq9p555FT2dnp9f2I0eOHFxfZ/r06YOFjnvsTmZmpkZHon8shoiIiDQwMDAwZL0dz6KnpaXFa/v09HSUlJSgtLQU48aNG3Ipy2KxaHQkxsdiiCiJ9PX1weFwoKenBw6HY/DL9/tAP/f9nogip5RCe3u731WU3VPQ+/v7B7cXEYwaNQpWqxXTpk3zWmvHarWisLAwqcftaInFEFGcKaXQ29sbsBAJVKj4PhbKdp7BGioRQWZmJjIyMpCZmen1byIK7tNPP/W7irK72Onu7vbaPi8vD1arFWPHjsXs2bO9ZmQVFxebetyOlviuk2kNDAyE1GPS09OD7u7uiAuUnp4eKKXCbl9qaupgceJbrOTm5gZ8zPPfgbbx/D49PT3g2eajjz4a7dtMZGi9vb1obGwMOFC5o6PDa/sRI0bAarWirKwM06ZNG3IpKysrS6MjoWBYDJGuKKXQ398fVS9JqNv29fVF1EZ3EeGv6MjJyQm5CBmuYNF6RVYiMxgYGEBLS0vAS1nNzc1eJzNpaWmD6+349uy4x+3wUpbxsBiikCilhr2sE26PSaDHPNe+CJX7Uo+/4mLkyJEoKCgY/D4rKyviAiUjI4NBR2QgSil0dHQMmY3l/ndTU5PXiZGIoKioCFarFVOmTBly64jCwkKkpKRoeEQUDyyGDM7dixLpANlQixnf9SpClZaWFrCwyM/PD/uSTqBt09LSWKQQmVR3d7ffqefun/mO27FYLCgtLUVFRcVg7477q7i4GOnp6RodCWmFxVAcKKUGZ/VEW4QMV9hEeqknUIGRlZXlNR4l1B6TQI/xDIqIotXX14empqaABc/Zs2e9ts/KyhosbiZPnjzkUtaIESM0OhLSK1MVQ0qpqHtMQi1kIhkwm5KSMqSgyMrKQmZmJiwWS0QFir9tgw2YJSJKNKUUWlpa/K61U19fP2TcTmpq6uC4nSuvvNLrMpbVakVubi4zjsKieTHkO2A2kl6SULfr7e2NqI3p6enDDpgNZTbPcMUKp1QSUTJSSqGzszNgz05jY+OQfC4sLAzYs1NUVMReZ4qpsP7v63A4cPz48agKlu7u7iE/j9XaKO7vR4wYgfz8/JAv6wxXyPAMg4goOIfDEfAO6A0NDTh37pzX9haLBVarFWPGjMGsWbO8eneKi4uRkZGh0ZGQGYVVDJ04cQKrVq0KvkPXgFl/BUZubi6Ki4vDKkQCbcdLPUREidPX1zfk1hGel7J8x+1kZGQMFjcTJ04cst5Odna2RkdCNFRYxVBpaSkeeuihoMUK10YhIjIepRRaW1sD9uw0NTUNGbfjvnXEzJkzB28I6i528vLyeMJKhhFWMZSTk4PKysp4tYWIiOJEKYWuri6/PTvucTu+S2gUFhaipKQEEyZMGLLeTlFREU9+KWlwxC4RUZLo6ekJeNuIhoYGdHV1eW2fnZ0Nq9WKiy66CFVVVV7FTklJCcftkGmwGCIiMoj+/n40NzcPuSGo+6u1tdVr+4yMjMEp6OPHjx8yBZ3jdoicWAwREemEUgptbW0BL2U1NTV53a5GRFBcXIzS0lJUVlZ6jdmxWq0oKCjguB2iELAYIiJKIN9xO74Fj++4nfz8fFitVowbNw5z5871KnZGjRrF9cmIYoB/RUHYbDZs2LgJtdu2ob2tBbn5hahZtAgPrLgfFRUVWjePiHSop6cHjY2NAdfc6ezs9Np+5MiRsFqtGD16NKZPnz54Gcs9biczMzPitjDDiELDYiiAuro6VC+sQeak65E9fx3y8krQd7YROw6/jq2VVdi5vRbz5s3Tupm6Zrfb8dXbFuD52h0oLS3VujlEMTEwMDBkvR3PoqelpcVr+/T0dJSUlKC0tBTjxo0bst6OxWKJSzuZYdFhfpkLiyE/bDYbqhfWIOem1cgcPX7w5+kFZUifsxjpl8xA9cIaHDl0gGdXQaxfuwb7396H9WvXYMOmJ7VuDlFIlFJob2/3u9aOewq656r5IjK43s60adOGjNspLCxM+LgdZlj0mF/mIuHcUHTGjBnq4MGDcWyOPixdthw7DjcgZ87igNt07t2KBZVl2LxpYwJbZhx2ux0Tx1XgjYUpuPbFARz74COeXRmQiBxSSs3Quh2x4Jlf586dG7yU5Tszq7GxEd3d3V7PzcvLG9Kj4y56iouLdTduhxkWHeZX8gg1w1gM+ZFfVIzs+euQXlAWcJveVju6dq1GW3NjAltmHCuX3Qsc/iUeuzYFK18fgExfwrMrA0qmYqi8vFxVV1ejvr4eHR0dXo9lZWUNFje+PTtWqxVZWVkatToyzLDoML+SR6gZpq/TGZ1ob2tBXl5J0G3ScovR0dYSdBuzstvt2LLleRy7y7k67apZwKSnn8Oq1Q/y7Io009fXh5ycHMyePXtI0WOxWJJqCjozLHLML3NiMeRHbn4h+s42Bj2r6mtvgiW/MIGtMo71a9fg9impKLOkAADKLClYMhm89k6aKi8vx8MPP6x1MxKCGRY55pc5pWjdAD2qWbQIjmOvB93GcXQPbqtZlKAWGYf7rGrVLO+fr5oFbNnyHOrr67VpGJGJMMMiw/wyLxZDfjyw4n44jr4Gx6njfh93nDoOx7E9WLl8WYJbpn++Z1VuzrOrVKxfu0ajlhGZBzMsMswv82Ix5EdFRQV2bq9F5+616Ny7Fb2tdqj+PvS22tG5dys6d6/Fzu21nJLqI9BZlRvProgSgxkWPuaXubEYCmDevHk4cugAFlSWoWvXapzccAu6dq3GgsoyHDl0gIuV+RHorMqNZ1dEicMMCw/zy9w4tZ5iZs7Madh34Miw282umoo39x9OQIsoWsk0tZ75RcEwv5JTqBnGniEDs9lsWLpsOfKLipGSmor8omIsXbYcNptNk/a8uf8wlFLDfjFIiIj5RXrCYsig6urqMLWyCjsONyB7/jpc+M3fIHv+Ouw43ICplVWoq6vTuolERH4xv0hvuM6QAfG+Q0RkVMwv0iP2DBnQho2bkDnpeq8g8ZQ5ejwyJ16Hxx5/IsEtIyIKjvlFesRiyIBqt21D5sRrg26TOek6vFC7LUEtIiIKDfOL9IjFkAG1t7UgjfcdIiIDYn6RHrEYMiD3fYeC4X2HiEiPmF+kR0lVDOltqma88L5DRMnJDBnG/CI9SppiyExTNXnfIaLkY5YMY36RHiXFCtQ2mw1TK6uGTNV0c5w6js7da5NqqmZdXR2qF9Ygc+J1yJx0HdJyi9HX3gTH0T1wHNuDndtrudw+RY0rUCeG2TKM+UWJYqoVqGM9VdMIXdW87xBR8jBbhjG/SG+Somcov6gY2fPXIb2gLOA2va12dO1ajbbm4AP36urqML96AQbyLkBPy2kMdHciJSsHGYUXIOXsaeza+SL/UMk02DOUGLHMsGeffRb33Hc/+geAgZ5zSBmRixGXViE9IxN9trfY60KmEmqGJcUK1O1tLciLwVRNm82Gf5tfjZ4BIOfCySj8wjeRlleCvrON6Hz/NXQ2n8S/za/G0fePJEVXNRHpQ6wy7Nlnn8XX7rkXluk3IeeKG7zyq/29PyDvylu5ujORH0lxmSxWUzW//4OH4egfQMn876Ng7u1ILyiDpKQivaAMBXNvR8n878PRP4CHHl4Ty+YTkcnFIsNsNhvuue9+WL/yQxRcc8fQ/LrlQZz9y6+QVnEVV3cm8pEUxVCspmr+6tcvwTLt80Gv21umzsPOXb+OuK1kPnofv0Hai0WGbdi4CSMmBx93lHPF9ejt7eXqzhQys+SXoYqhQB/KLV/+Ykymavb29CBnyg1Bt8m54nPo7emJ+BjIXMwyXZqGF+x/KrGYbl67bRtypn4+aBtyptyAT20HuLozhcRM+WWYMUODUzEnXY/s+euQ57oWvuPw69j6y/n41gMr8OiGtegNMlVzuGvkqq83pGXiVX9vLA+NkhTvzk1uQfOrsgo7t9di5/ZaVC+siTjDQh13NPBpO/IKimJ9iJRkzJZfhugZ8vxQcuYs9roWnjNnMXJuWo1HN2zEyy/timqqZsbI7JCu22eOyI7VoVES4925CQgtv6oX1uCyyy6Larp5qOOOUjJGcHVnGpbZ8ssQxVCoH8pLv/0dNm/aiLbmRvT396GtuRGbN20MuWq9df4t6DzyStBtOg+/gltvnR/2MZD58O7cBIT3P5WKioqIM6xm0SJ0H90TdJvO915FqoCrO9OwzJZfhiiGEvWh/OB7D6Lnb28EvW7fc/wNPPTgd6N6HTIH3p2bgMTl1wMr7kfPsT1B86vj3d/jp09uSorLGhRfZssvQxRDifpQKioq8NLOF9H+8o9w9k/PobfVDtXfh95WO87+6Tm0v/wjvLTzRQYJhYR35yYgsfm1c3stOnevRcfeLV751frHZ9D864fw9E+fwp133hnV65A5mC2/DFEMJfJDmTdvHt4/fBA1M8u9rtvXzCzH+4cPcuVWChnvzk1A4vPryKEDWFh5gVd+Lb7yIhz/63sshChkZssvQxRDif5Qorlun+zMsuZELPDu3AQwv/SE+RU6s+WXIYohs30oemWmNSdiwfOyReferV6XLTr3bkXn7rUhLflAxsb80gfmV3jMll+GuVHr4DodQdbg4CWs+LHZbJhaWTVkzQk3x6nj6Ny9NmnWnIglm82Gxx5/Ai/UbkNHWwsIBqXjAAAKlElEQVQs+YW4rWYRVi5fpvv3ijdqjQ3ml7aYX5Ezcn4BoWeYYYohwPgfipEtXbYcOw43IGfO4oDbdO7digWVZdi8aWMCW0bxxGIodphf2mF+mVdSFkOknfyiYmTPX4f0grKA2/S22tG1azXamoMPFiXjYDFEyYD5ZV6hZpghxgyR9sy25gQRJQ/mFw2HxRCFxGxrThBR8mB+0XBYDFFIzLbmBBElD+YXDYfFEIWE04OJyKiYXzScNK0bQMbgXnOiemENeoNMD+asGCLSG+YXDYc9QxQy91L/CyrLvJb6X1BZhiOHDnCdFCLSLeYXBcOp9UQUEKfWE5GRcWo9ERERUQhYDBEREZGpsRgiIiIiU2MxRERERKYW9dT63t5enDx5Et3d3bFoT1xkZWWhvLwc6enpWjeFiIiIdCbqYujkyZOwWCwYM2YMRCQWbYoppRSam5tx8uRJXHLJJVo3h4iIiHQm6stk3d3dKCoq0mUhBAAigqKiIl33XBEREZF2YjJmKNRCyGazYemy5cgvKkZKairyi4qxdNly2Gy2WDQj6vYRERGR+SRsAHVdXR2mVlZhx+EGZM9fhwu/+Rtkz1+HHYcbMLWyCnV1dRHv+9VXX8W4ceMwduxYPPLIIzFsNRERESW7hNybzGazoXphDXJuWo3M0eMHf55eUIb0OYuRfskMVC+swZFDB8K+N0x/fz+WLl2KPXv2oLy8HFVVVbj55psxYcKEWB8GERERJaGE9Axt2LgJmZOu9yqEPGWOHo/MidfhscefCHvf+/fvx9ixY3HppZciIyMDCxYswMsvvxxtk4mIiMgkElIM1W7bhsyJ1wbdJnPSdXihdlvY+z516hQuvPDCwe/Ly8tx6tSpsPdDRERE5pSQYqi9rQVpeSVBt0nLLUZHW0simkNEREQ0KCHFUG5+IfrONgbdpq+9CZb8wrD3PXr0aJw4cWLw+5MnT2L06NFh74eIiIjMKSHFUM2iRXAcez3oNo6je3BbzaKw911VVYUPP/wQH3/8MXp6evDiiy/i5ptvjrSpREREZDIJKYYeWHE/HEdfg+PUcb+PO04dh+PYHqxcvizsfaelpWHz5s244YYbMH78eFRXV2PixInRNjlpaLW2k57xPSEyBv6t+sf3JfZEKRXyxjNmzFAHDx70+tnx48cxfrz/WWKe6urqUL2wBpkTr0PmpOuQlluMvvYmOI7ugePYHuzcXot58+aFfQChCrWdyWTwPZ90PTInXou0vBL0nW2E49jrcBx9Le7vuR7xPQmPiBxSSs3Quh2x4C+/SL/4t+of35fwhJphCSuGAGc1+9jjT+CF2m3oaGuBJb8Qt9Uswsrly8JeXyhcyVgM2Ww2bNi4CbXbtqG9rQW5+YWoWbQID6y4HwAwtbJqyNpObo5Tx9G5e21EazsZlc1m43sSJhZDFC/Mr/Axw8IXaoYlbAVqAKioqMDmTRvR1tyI/v4+tDU3YvOmjfzQIjDcit7LVz4Qt7WdjCqe610RUeiYX5FhhsVPQoshig3PFb1z5ixGekEZJCUV6QVlyJmzGDk3rcYrr/4BqRdOCbqfSNd2Mqp4rndFRKFhfkWOGRY/LIYMKJSzg5yp8/Dph+8E3Y/Z1nbieldE2mN+RY4ZFj8shgwolLMDy7QvoOv4n4NuE+naTkYVz/WuiCg0zK/IMcPiR5NiyG6343OfnYv6+notXt7wQj07GPi0I+g2ka7tZFTxXO+KiELD/IocMyx+NCmG1q9dg/1v78P6tWtisr8777wTJSUlmDRpUkz2p3ehnh1IWnpc1nYyqniud0VEoWF+RY4ZFj8JL4bsdju2bHkebyzOwpYtz8Wkd+iOO+7Aq6++GoPWGUOoZwdf+Pw8dO5ei869W9Hbaofq70Nvqx2de7eic/da7Nxea6qZfBUVFdi5vZbvCZGGmF+RY4bFT8KLofVr1+D2KamYVpaKJZNTY9I7dPXVV6OwULtrpIleDTTUs4ONP/kvHDl0AAsqy9C1azVObrgFXbtWY0FlGY4cOmDKhbnmzZvH94TIA/PLWJhh8ZHQRRftdjsmjqvAsbtSUWZJgb1jAJOe7sexDz5CaWlpWA339cknn+DGG2/E0aNH/T4er0UXtVoNVOsVvckcuOhicmN+UbLT5aKL7l6hMovzZcssKTHrHdJCKOtlVC+sicsZFs8OiCgazC+i8xJWDLnHCq2a5f3zVbMQs7FDiab1aqBc0ZuIIsX8IjovYcWQb6+Qm5F7h7gaKBEZFfOL6LyEFEOBeoXcou0dWrhwIa666ip88MEHKC8vxzPPPBNFa0PH1UCJyKiYX0TnpSXiRQL1Crk5e4ec223Y9GTY+9++fXu0TYyIe72M9IKygNtwNVAi0iPmF9F5CSmGDrzzNvYd6MTGfcG3m93zViKaEzM1ixZhx+HXkT5nccBtuBooEekR84vovIQUQ2/uP5yIl0m4B1bcj62VVUi/ZIbfQYiDq4FuPaBB64iIAmN+EZ2XkGIoWblXA61eWIPeIOtlcHYEEekN84vovJgMoA5n4UYtxLN9XC+DiIyK+UXkFPUK1B9//DEsFguKioogIrFuX9SUUmhubkZHRwcuueQSrZtDZChcgZqIjCzUDIv6Mll5eTlOnjyJpqamaHcVN1lZWSgvL9e6GURERKRDURdD6enp7HEhIiIiw0r4XeuJiIiI9ITFEBEREZkaiyEiIiIytbBmk4lIE4B/xK85RKQzFyulirVuRCwwv4hMKaQMC6sYIiIiIko2vExGREREpsZiiIiIiEyNxVASEZF+ETni8TUmgn3ki8i9sW/d4P4vF5G3RcQhIv8Rr9chImNhfpGWOGYoiYhIp1IqJ8p9jAHwe6XUpDCfl6qU6g9huxIAFwP4EoBWpdR/RdJOIkouzC/SEnuGkpyIpIrIoyJyQETeF5Gvu36eIyJviMi7IvJXEfmi6ymPAKhwnZk9KiLXiMjvPfa3WUTucP37ExH5sYi8C+BWEakQkVdF5JCI7BWRy33bo5RqVEodANAb94MnIkNjflGiRH07DtKVESJyxPXvj5VSXwbw7wDOKqWqRCQTwD4ReQ3ACQBfVkq1i8goAH8Rkd8B+A6ASUqpqQAgItcM85rNSqnprm3fAHCPUupDEZkF4CkAn4n1QRJRUmJ+kWZYDCWXT90h4OF6AFNEZL7r+zwA/wTgJIC1InI1gAEAowFYI3jNHYDzTA3APwP4lYi4H8uMYH9EZE7ML9IMi6HkJwCWKaX+4PVDZ1dxMYBKpVSviHwCIMvP8/vgfTnVd5su139TALT5CTMiokgxvyghOGYo+f0BwDdEJB0AROQyEcmG8wyr0RUk/wrnoEAA6ABg8Xj+PwBMEJFMEckH8Fl/L6KUagfwsYjc6nodEZEr4nNIRGQSzC9KCPYMJb+nAYwB8K44+3+b4JwJUQtgt4j8FcBBAP8DAEqpZhHZJyJHAdQppb4lIjsBHAXwMYDDQV6rBsD/FpHvAkgH8CKA9zw3EJFS1+vlAhgQkRUAJrjCiIjIE/OLEoJT64mIiMjUeJmMiIiITI3FEBEREZkaiyEiIiIyNRZDREREZGoshoiIiMjUWAwRERGRqbEYIiIiIlNjMURERESm9v8BJYF0U5VfoeEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import LogisticRegression\n", "from sklearn.svm import LinearSVC # 線形サポートベクタマシン\n", "\n", "X, y = mglearn.datasets.make_forge()\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "for model, ax in zip([LinearSVC(), LogisticRegression()], axes):\n", " clf = model.fit(X, y)\n", " mglearn.plots.plot_2d_separator(clf, X, fill=False, eps=0.5, ax=ax, alpha=.7)\n", " \n", " mglearn.discrete_scatter(X[:, 0], X[:, 1], y, ax=ax)\n", " ax.set_title(\"{}\".format(clf.__class__.__name__))\n", " ax.set_xlabel(\"Feature 0\")\n", " ax.set_xlabel(\"Feature 1\")\n", " \n", "axes[0].legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "上記二つのモデルはデフォルトでは,L2正則化を行う.\n", "\n", "LogisticRegression, LinearSVCにおける正則化の強度を決定するパラメータはC.\n", "\n", "Cが大きくなると正則化が弱くなる.\n", "```\n", "Cが大: 訓練データに対しての適合度をあげようとする\n", "Cが小: 係数ベクトル(w)を小さくしようとする\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cが大きいと個々のデータへの適合度を上げようとする。" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_linear_svc_regularization()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "回帰と同様に線形モデルによるクラス分類は低次元においては制約が強すぎるように感じる。 \n", "決定平面が直線や平面にしかならないからだ。 \n", "しかし高次元の場合は線形モデルによるクラス分類は強力なので、特徴量の数が多い場合には過剰適合を回避する方法が重要になる。" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.955\n", "Test set score: 0.958\n" ] } ], "source": [ "from sklearn.datasets import load_breast_cancer\n", "cancer = load_breast_cancer()\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, stratify=cancer.target, random_state=42)\n", "logreg = LogisticRegression().fit(X_train, y_train)\n", "print(\"Training set score: {:.3f}\".format(logreg.score(X_train, y_train)))\n", "print(\"Test set score: {:.3f}\".format(logreg.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "訓練セットとテストセットの値がかなり近い=> 適合不足の可能性が高い" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.974\n", "Test set score: 0.965\n" ] } ], "source": [ "logreg100 = LogisticRegression(C=100).fit(X_train, y_train)\n", "print(\"Training set score: {:.3f}\".format(logreg100.score(X_train, y_train)))\n", "print(\"Test set score: {:.3f}\".format(logreg100.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cの適応度をあげると学習スコアの精度が上がってる。" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set score: 0.934\n", "Test set score: 0.930\n" ] } ], "source": [ "logreg001 = LogisticRegression(C=0.01).fit(X_train, y_train)\n", "print(\"Training set score: {:.3f}\".format(logreg001.score(X_train, y_train)))\n", "print(\"Test set score: {:.3f}\".format(logreg001.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cの適応度を下げると正則化が強くなる。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "C=0.01の係数が一番中心によっており、小さい値になっている。" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(logreg.coef_.T, 's', label=\"C=1\")\n", "plt.plot(logreg100.coef_.T, '^', label=\"C=100\")\n", "plt.plot(logreg001.coef_.T, 'v', label=\"C=0.01\")\n", "\n", "plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n", "plt.hlines(0, 0, cancer.data.shape[1])\n", "plt.ylim(-5, 5)\n", "plt.xlabel(\"Feature\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training accuracy of l1 logreg with C0.001: 0.91\n", "Test accuracy of l1 logreg with C0.001: 0.92\n", "Training accuracy of l1 logreg with C1.000: 0.96\n", "Test accuracy of l1 logreg with C1.000: 0.96\n", "Training accuracy of l1 logreg with C100.000: 0.99\n", "Test accuracy of l1 logreg with C100.000: 0.98\n" ] }, { "data": { "image/png": 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8w8cff8y2226LiPDtb3/bU2Y7jlMR3UohjN5iNA2Sf8gN0sDo4aOrvq9i6atL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\n7xzNVf7L1Ufs2WESnAkl8jAW8oQQykc2z1r4S+buovqxMvP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for C, marker in zip([0.001, 1, 100], ['o', '^', 'v']):\n", " lr_l1 = LogisticRegression(C=C, penalty=\"l1\").fit(X_train, y_train)\n", " print(\"Training accuracy of l1 logreg with C{:.3f}: {:.2f}\".format(C, lr_l1.score(X_train, y_train)))\n", " print(\"Test accuracy of l1 logreg with C{:.3f}: {:.2f}\".format(C, lr_l1.score(X_test, y_test)))\n", " plt.plot(lr_l1.coef_.T, marker, label=\"{:.3f}\".format(C))\n", " \n", "plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n", "plt.hlines(0, 0, cancer.data.shape[1])\n", "plt.xlabel(\"Feature\")\n", "plt.ylabel(\"Coefficient magnitude\")\n", "\n", "plt.ylim(-5, 5)\n", "plt.legend(loc=3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 線形モデルによる他クラス分類" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "多くの線形モデルはニクラス分離にしか適用できない(ロジスティック回帰を除いて)\n", "\n", "ニクラス分類アルゴリズムを多クラス分類アルゴリズムにて拡張する方法として`一対その他`アプローチがある. \n", "クラスがたくさんある場合は2クラス分類を何度も行う。 \n", "1クラスにつき1つの2クラス分類器があるので、クラスごとに係数ベクトル(w)と切片(b)がある。 \n" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "\n", "X, y = make_blobs(random_state=42)\n", "mglearn.discrete_scatter(X[:, 0], X[: ,1], y)\n", "plt.xlabel(\"Feature 0\")\n", "plt.ylabel(\"Feature 1\")\n", "plt.legend([\"Class 0\", \"Class 1\", \"Class 2\"])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coefficient shape: (3, 2)\n", "Intercept shape: (3,)\n" ] } ], "source": [ "linear_svm = LinearSVC().fit(X, y)\n", "print(\"Coefficient shape: \", linear_svm.coef_.shape)\n", "print(\"Intercept shape: \", linear_svm.intercept_.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "真ん中の三角の部分は「その他」になる。" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "line = np.linspace(-15, 15)\n", "for coef, intercept, color in zip(linear_svm.coef_, linear_svm.intercept_, ['b', 'r', 'g']):\n", " plt.plot(line, -(line * coef[0] + intercept) / coef[1], c=color)\n", " \n", "plt.ylim(-10, 15)\n", "plt.xlim(-10, 8)\n", "plt.xlabel(\"Feature 0\")\n", "plt.ylabel(\"Feature 1\")\n", "plt.legend(['Class 0', 'Class 1', 'Class 2', 'Line Class 0', 'Line Class 1', 'Line Class 2'], loc=(1.01, 0.3))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "真ん中の三角部分にデータがプロットされた場合は一番線に近いクラスになる。" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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GYmEs9pVNR7OYh2CrGnw27VusmvgXLE069GAxYTTT1tLMsNFicEhbS1M/gdIV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\ncrxpkYUydgsRUCOGrBUzHoa0VmykqMuxx5XEKGR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_2d_classification(linear_svm, X, fill=True, alpha=.7)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "line = np.linspace(-15, 15)\n", "\n", "for coef, intercept, color in zip(linear_svm.coef_, linear_svm.intercept_, ['b', 'r', 'g']):\n", " plt.plot(line, -(line * coef[0] + intercept) / coef[1], c=color)\n", "\n", "plt.legend(['Class 0', 'Class 1', 'Class 2', 'Line Class 0', 'Line Class 1', 'Line Class 2'], loc=(1.01, 0.3))\n", "plt.xlabel(\"Feature 0\")\n", "plt.ylabel(\"Feature 1\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 線形モデルの利点, 欠点, パラメータ\n", "\n", "- パラメータ\n", "\n", "```\n", "正則化パラメータ\n", "線形モデル: alpha, LinearSVC, LinearRegression: C\n", "alphaが大きいとき, Cが小さい場合は単純なモデルに対応する.\n", "両方とも対数スケールで値を変更する\n", "```\n", "- 正則化\n", "\n", "L1正則化を使うか, L2正則化を使うか\n", "\n", "```\n", "一部の特徴が重要だと思う場合はL1正則化, それ以外はL2正則化\n", "```\n", "\n", "- 利点\n", "\n", " - 線形モデルは訓練,予測ともに高速.サンプル数が10万~100万点のデータに対しては,LinearRegression,Ridgeにsolver='sag'オプションを用いると高速になる場合がある.\n", " - 予測手法が理解しやすい\n", " - 特徴量の数がサンプル数の個数よりも多いときに性能を発揮する\n", " \n", "- 欠点\n", "\n", " - 係数の意味を理解するのが難しい\n", " - 特にデータセット中に強く相関した特徴量がある場合わかりにくい。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### アルゴリズムのまとめ\n", "\n", "- 線形回帰\n", "- Ridge回帰: 線形回帰にL2正則化\n", "- Lasso回帰: 線形回帰にL1正則化\n", "- ロジスティック回帰: 確率によって分類\n", "- SVM" ] } ], "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": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 2 }