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Created July 8, 2017 22:49
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社内勉強会で『Python 機械学習プログラミング』 の第 10 章を発表した際の Notebook ファイルです。
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 10. 回帰分析 -- 連続値をとる目的変数の予測"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### この章で学ぶこと\n",
"\n",
"- 探索的データ解析 (10.2 節)\n",
"- 回帰分析"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10.1. 単純な線形回帰モデル"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 回帰分析とは\n",
"\n",
"> 回帰分析 regression analysis は、2 変数 X, Y のデータがあるとき回帰方程式 regression equation と呼ばれる説明の関係を定量的に表す式を求めることを目的としている。\n",
">\n",
"> 『統計学入門』 (東京大学出版会), 257 ページより引用\n",
"\n",
"機械学習の視点から見ると「教師あり学習の一分野」\n",
"\n",
"- 与えられた特徴量 (説明変数) から連続値 (目的変数) を予測する問題 ⇔ これまでの章では離散値を予測してきた (分類問題)\n",
"\n",
"### 回帰分析の種類\n",
"\n",
"線形回帰 vs 非線形回帰\n",
"\n",
"- 線形回帰:説明変数と目的変数の間に線形 (直線) の関係があると仮定して予測する\n",
"- 非線形回帰:線形回帰ではないもの\n",
"\n",
"単回帰 vs 重回帰\n",
"\n",
"- 単回帰:線形回帰のなかでも説明変数が一次元の場合\n",
"- 重回帰:線形回帰で説明変数が多次元の場合\n",
"\n",
"### 単回帰分析のイメージ\n",
"\n",
"> ![image](images/10_01.png)\n",
">\n",
"> 教科書 266 ページの図を原著者の GitHub より引用\n",
"\n",
"- 与えられたデータに最もよく当てはまるような直線の切片 ($w_0$) と傾き ($w_1$) を求める\n",
"- ちなみに、残差は「実測値 - 予測値」で定義するのが普通だと思う (この教科書は逆)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10.2. Housing データセットの探索"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 探索的データ解析とは\n",
"\n",
"> In statistics, exploratory data analysis (EDA) is an approach to analyzing data sets to summarize their main characteristics, often with visual methods.\n",
">\n",
"> Wikipedia (en) より引用 (https://en.wikipedia.org/wiki/Exploratory_data_analysis)\n",
"\n",
"- 統計学者の John Tukey により提唱された概念\n",
"- いきなり統計モデルを適用したり機械学習したりするのではなくデータをちゃんと見ようということ"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### データセットの読み込み\n",
"\n",
"- データセットを Pandas のデータフレームに読み込む\n",
"- データ (housing.data) にはヘッダ行が含まれていないので手作業で追加する\n",
"- 先頭の 5 行を確認する"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CRIM</th>\n",
" <th>ZN</th>\n",
" <th>INDUS</th>\n",
" <th>CHAS</th>\n",
" <th>NOX</th>\n",
" <th>RM</th>\n",
" <th>AGE</th>\n",
" <th>DIS</th>\n",
" <th>RAD</th>\n",
" <th>TAX</th>\n",
" <th>PTRATIO</th>\n",
" <th>B</th>\n",
" <th>LSTAT</th>\n",
" <th>MEDV</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.00632</td>\n",
" <td>18.0</td>\n",
" <td>2.31</td>\n",
" <td>0</td>\n",
" <td>0.538</td>\n",
" <td>6.575</td>\n",
" <td>65.2</td>\n",
" <td>4.0900</td>\n",
" <td>1</td>\n",
" <td>296.0</td>\n",
" <td>15.3</td>\n",
" <td>396.90</td>\n",
" <td>4.98</td>\n",
" <td>24.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.02731</td>\n",
" <td>0.0</td>\n",
" <td>7.07</td>\n",
" <td>0</td>\n",
" <td>0.469</td>\n",
" <td>6.421</td>\n",
" <td>78.9</td>\n",
" <td>4.9671</td>\n",
" <td>2</td>\n",
" <td>242.0</td>\n",
" <td>17.8</td>\n",
" <td>396.90</td>\n",
" <td>9.14</td>\n",
" <td>21.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.02729</td>\n",
" <td>0.0</td>\n",
" <td>7.07</td>\n",
" <td>0</td>\n",
" <td>0.469</td>\n",
" <td>7.185</td>\n",
" <td>61.1</td>\n",
" <td>4.9671</td>\n",
" <td>2</td>\n",
" <td>242.0</td>\n",
" <td>17.8</td>\n",
" <td>392.83</td>\n",
" <td>4.03</td>\n",
" <td>34.7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.03237</td>\n",
" <td>0.0</td>\n",
" <td>2.18</td>\n",
" <td>0</td>\n",
" <td>0.458</td>\n",
" <td>6.998</td>\n",
" <td>45.8</td>\n",
" <td>6.0622</td>\n",
" <td>3</td>\n",
" <td>222.0</td>\n",
" <td>18.7</td>\n",
" <td>394.63</td>\n",
" <td>2.94</td>\n",
" <td>33.4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.06905</td>\n",
" <td>0.0</td>\n",
" <td>2.18</td>\n",
" <td>0</td>\n",
" <td>0.458</td>\n",
" <td>7.147</td>\n",
" <td>54.2</td>\n",
" <td>6.0622</td>\n",
" <td>3</td>\n",
" <td>222.0</td>\n",
" <td>18.7</td>\n",
" <td>396.90</td>\n",
" <td>5.33</td>\n",
" <td>36.2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n",
"0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296.0 \n",
"1 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242.0 \n",
"2 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242.0 \n",
"3 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222.0 \n",
"4 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222.0 \n",
"\n",
" PTRATIO B LSTAT MEDV \n",
"0 15.3 396.90 4.98 24.0 \n",
"1 17.8 396.90 9.14 21.6 \n",
"2 17.8 392.83 4.03 34.7 \n",
"3 18.7 394.63 2.94 33.4 \n",
"4 18.7 396.90 5.33 36.2 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"\n",
"# df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases/housing/housing.data', header=None, sep='\\s+')\n",
"df = pd.read_csv('./housing.data', header=None, sep='\\s+')\n",
"\n",
"df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 散布図行列の作成\n",
"\n",
"散布図行列を作成して二変数間の関係を可視化する\n",
"\n",
"- Seaborn の pairplot という関数を使えば一発\n",
"- Matplotlib 2.0 でグラフのデザインや配色が綺麗になったので Matplotlib のスタイルを試してみる\n",
"- marker を変更して各点を小さく表示させる"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
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kPh+cwJe3J/FEILbu5MVpfTxbb8WRVgf22qezrTqHJ2PykIjHhlG92MQQT6KU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NmOHn1aZ31A+CfZZOT5GjsfXuoeV3+ntwOTAZalKbV6Hr9MUpjnrau0Mezyjqt9Dmcz6sZ1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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df86967a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"# グラフのスタイルを指定 (whitegrid は白背景グリッド、notebook はデフォルトサイズ)\n",
"# sns.set(style='whitegrid', context='notebook')\n",
"sns.reset_orig()\n",
"\n",
"# プロットの対象とするカラムを指定\n",
"cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
"# cols = df.columns.values\n",
"\n",
"# 変数のペアの関係をプロット: df は DataFrame オブジェクト、size は 1 面のインチサイズ\n",
"# sns.pairplot(df[cols], size=2.5)\n",
"sns.pairplot(df[cols], markers='.')\n",
"\n",
"# グラフを表示する\n",
"plt.show()\n",
"# plt.savefig('pairplot.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 相関係数の確認\n",
"\n",
"二変数間の相関係数を一覧する\n",
"\n",
"- Seaborn の heatmap 関数で色付けすることで見やすく可視化する"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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4oksr3GxF5uuH7nTR54G69DRMOq3VTakmzryRgjwgCL2LCy6VqpJ9X1l9Zgb6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\n2Rk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Co9vWIVc60ajTEw7/GYSHy0PToFKpVMFYRpKWA1+WWf0ZMAiYBCwFZqhUqmVqtfpy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x1OZmoySz6ZRoe7exMUXq3qQZtN5O3/A98eA7Dk52LJy8av9yCKLugxJsSAWoPa3dN25dhi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\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e3b0xsQ0dP9uxtAI+3HiySt1pvWNIyCxi5bF0l8Vstlj46PfN/LLjMEWlBq5p3YRnxwwg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\n/025+PiD6dfGo8j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U6SQkJdF/x22qXh+4y0hCCQnMiWpUsaGJVFT4/hNPfJ+hUtWIiLwI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\nY4wxxhhjTAv9P7eMSZvvlRDPAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df835a3518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"# プロットの対象とするカラムを指定\n",
"# cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
"cols = df.columns.values\n",
"\n",
"# ピアソンの積率相関係数を計算する\n",
"cm = np.corrcoef(df[cols].values.T)\n",
"\n",
"# 相関行列のヒートマップを作成する\n",
"plt.figure(figsize=(16, 12))\n",
"sns.set(font_scale=1.5)\n",
"hm = sns.heatmap(cm,\n",
" cbar=True,\n",
" annot=True,\n",
" square=True,\n",
" fmt='.2f',\n",
" annot_kws={'size': 15},\n",
" yticklabels=cols,\n",
" xticklabels=cols)\n",
"\n",
"# グラフを表示する\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"フォントが大きすぎるので調節しておく"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sns.set(font_scale=1.2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 相関係数のイメージ\n",
"\n",
"> ![](images/correlation.png)\n",
">\n",
"> Wikipedia (en) より画像を引用 (https://en.wikipedia.org/wiki/Correlation_and_dependence)\n",
"\n",
"- 0.8 は 0.4 より「2 倍強い相関がある」とかいう話ではない\n",
"- 傾きの大小とも関係ない\n",
"- 相関係数が 0 であることは「二つの変数が無関係である」ことを意味しない\n",
"\n",
"相関係数だけ算出して済ませるのではなく、しっかり散布図を描いてデータを確認しよう"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10.3. 最小二乗線形回帰モデルの実装"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 最小二乗法\n",
"\n",
"誤差平方和 (予測誤差の二乗和) を最小にするパラメータ $w$ を求める\n",
"\n",
"$\\displaystyle J(w) = \\frac{1}{2}\\sum_{i=1}^{n}\\left(y^{(i)} - \\hat{y}^{(i)}\\right)^2$ ただし $\\hat{y} = w^T x$\n",
"\n",
"### 勾配降下法による実装\n",
"\n",
"2 章で学んだ ADALINE とほとんど同じ\n",
"\n",
"> ![](images/02_09.png)\n",
">\n",
"> 教科書 32 ページの図を原著者の GitHub より引用\n",
"\n",
"- トレーニングの処理 (fit 関数) は 2.5.1 項で実装した AdalineGD と全く同じ\n",
"- 予測値の計算 (predict 関数) で二値化せずに値をそのまま返す点のみが異なる\n",
" - ADALINE は二値分類が目的だったので、予測値の符号によって positive/negative に分類した\n",
" - ここでは連続値の予測が目的なので、予測値をそのまま使う"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# 基本的な線形回帰モデル\n",
"class LinearRegressionGD(object):\n",
" \n",
" # 初期化を実行 (2.5.1 項の AdalineGrid と eta, n_iter の既定値が変わっている)\n",
" def __init__(self, eta=0.001, n_iter=20):\n",
" self.eta = eta\n",
" self.n_iter = n_iter\n",
" \n",
" # トレーニングを実行\n",
" def fit(self, X, y):\n",
" self.w_ = np.zeros(1 + X.shape[1])\n",
" self.cost_ = []\n",
" for i in range(self.n_iter):\n",
" output = self.net_input(X)\n",
" errors = (y - output)\n",
" self.w_[1:] += self.eta * X.T.dot(errors)\n",
" self.w_[0] += self.eta * errors.sum()\n",
" cost = (errors ** 2).sum() / 2.0\n",
" self.cost_.append(cost)\n",
" return self\n",
" \n",
" # 総入力を計算\n",
" def net_input(self, X):\n",
" return (np.dot(X, self.w_[1:]) + self.w_[0])\n",
" \n",
" # 予測値を計算\n",
" def predict(self, X):\n",
" return self.net_input(X)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 動作確認\n",
"\n",
"説明変数に RM (一戸あたりの平均部屋数) を用いて MEDV (住宅価格の中央値) を予測\n",
"\n",
"- eta, n_iter を既定値として試す\n",
"- \"Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19\" ということなので reshape して対応する"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X = df[['RM']].values\n",
"y = df['MEDV'].values\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"sc_X = StandardScaler()\n",
"sc_y = StandardScaler()\n",
"X_std = sc_X.fit_transform(X)\n",
"y_std = sc_y.fit_transform(y.reshape(-1, 1)).reshape(-1,)\n",
"lr = LinearRegressionGD()\n",
"lr.fit(X_std, y_std)\n",
"\n",
"pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"エポックごとのコスト (誤差平方和) をプロットする\n",
"\n",
"- マーカーを追加\n",
"- tick 間隔を設定"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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uwYIFeuCBB0KPS0tLNWfOHE2ePFkzZ85UcXGxGSXayvgxxyfWcVkcAKA9YQ/3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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df8905c2b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# エポック数とコストの関係を表す折れ線グラフのプロット\n",
"plt.plot(range(1, lr.n_iter + 1), lr.cost_, marker='o')\n",
"plt.ylabel('SSE')\n",
"plt.xlabel('Epoch')\n",
"plt.xticks(np.arange(0, 21, 5))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"散布図と回帰直線を重ねてプロットする"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def lin_regplot(X, y, model):\n",
" plt.scatter(X, y, c='blue')\n",
" plt.plot(X, model.predict(X), color='red')\n",
" return None"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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OOzIyrJCugNZFUpK45/oofAwWDCLQdQEah4ziKpT1u1KxXSI8UW1aT01NRVlZ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\nckIIIUSHUSInhBBCdNj/A/MzwYr080mwAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df890c2a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lin_regplot(X_std, y_std, lr)\n",
"plt.xlabel('Average number of rooms [RM] (standardized)')\n",
"plt.ylabel('Price in $1000\\'s [MEDV] (standardized)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"回帰直線の傾きと切片"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Slope: 0.695\n",
"Intercept: -0.000\n"
]
}
],
"source": [
"print('Slope: %.3f' % lr.w_[1])\n",
"print('Intercept: %.3f' % lr.w_[0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"学習結果を使って、部屋数 = 5 の場合の住宅価格を予測"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Price in $1000's: 10.840\n"
]
}
],
"source": [
"num_rooms_std = sc_X.transform([[5.0]])\n",
"price_std = lr.predict(num_rooms_std).reshape(-1,)\n",
"print(\"Price in $1000's: %.3f\" % sc_y.inverse_transform(price_std))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 適切な学習率の調整\n",
"\n",
"ところで LinearRegressionGD クラスでは eta, n_iter の既定値が AdalineGD と異なっている\n",
"\n",
"試しに AdalineGD の既定値で実行してみる"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X = df[['RM']].values\n",
"y = df['MEDV'].values\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"sc_X = StandardScaler()\n",
"sc_y = StandardScaler()\n",
"X_std = sc_X.fit_transform(X)\n",
"y_std = sc_y.fit_transform(y.reshape(-1, 1)).reshape(-1,)\n",
"\n",
"# 2.5.1 項で実装した AdalineGD での既定値を利用する\n",
"lr = LinearRegressionGD(eta=0.01, n_iter=50)\n",
"lr.fit(X_std, y_std)\n",
"\n",
"pass"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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DDXrzzTcVCoX09ddf65133tH48ePd7pbRjh07pgceeEA33XSTli1bps6dO0ui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\nAQAw2P8HtGTbjik4drsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df875b33c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# エポック数とコストの関係を表す折れ線グラフのプロット\n",
"plt.plot(range(1, lr.n_iter + 1), lr.cost_, marker='o')\n",
"plt.ylabel('SSE')\n",
"plt.xlabel('Epoch')\n",
"plt.xticks(np.arange(0, 51, 10))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"発散してしまった\n",
"\n",
"- 学習率の設定が不適切だとこうなる\n",
"- 大きくすると図のように発散する危険性がある。小さくすれば安全だが学習が遅くなる"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### scikit-learn の LinearRegression\n",
"\n",
"例によって scikit-learn で提供されているので自分で実装する必要などない"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"slr = LinearRegression()\n",
"slr.fit(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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D+SpjOBLO91o44zpu6enKZXc17+zVq1cjOTkZgwYNQkKCtDg/QRCEv1HzPwMM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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df8737d6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lin_regplot(X, y, slr)\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000\\'s [MEDV]')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Slope: 9.102\n",
"Intercept: -34.671\n"
]
}
],
"source": [
"print('Slope: %.3f' % slr.coef_[0])\n",
"print('Intercept: %.3f' % slr.intercept_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10.4. RANSAC を使ったロバスト回帰モデルの学習\n",
"\n",
"外れ値に対して頑健なモデル学習するアルゴリズム"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### RANdom SAmple Consensus アルゴリズム\n",
"\n",
"以下の手続きを k 回繰り返して 6. の予測誤差が最小となるモデルを選択する\n",
"\n",
"1. データセットからランダムに n 個のデータを選択する\n",
"2. 選択されたデータでモデルを学習する\n",
"3. 選択されなかった残りのデータを予測する\n",
"4. 誤差が閾値 t 未満のものを inliers, t 以上のものを outliers と分割する\n",
" - inliers の個数が閾値 d 以下なら不採用とする\n",
"5. 最初に選択したデータと inliers を合わせてもう一度モデルを学習する\n",
"6. 学習データに対する予測誤差を計算する\n",
"\n",
"参考: https://en.wikipedia.org/wiki/Random_sample_consensus"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### RANSAC アルゴリズムの確認\n",
"\n",
"- データセットからランダムに n 個のデータを選択する"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"# train_test_split 関数で 50 個のデータ (train) とそれ以外 (test) に分割する\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, train_size=50, random_state=1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 選択されたデータでモデルを学習する"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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vv/zS5vG5c+dsHr/44ouOjUgIIRzAkjw1mv21+nxMTCwDBw6hW7ceREa2s14s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\nhBBWSkJeCCGEsFL/BxPyYCBMGjj5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df88caf358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 選択された 50 個のデータでモデルを学習する\n",
"slr = LinearRegression()\n",
"slr.fit(X_train, y_train)\n",
"\n",
"# 学習結果をプロットする\n",
"line_X = np.arange(3, 10, 1)\n",
"line_y = slr.predict(line_X[:, np.newaxis])\n",
"plt.scatter(X_train, y_train, c='black', marker='o', s=20, label='Sampled')\n",
"plt.scatter(X_test, y_test, c='gray', marker='o', s=5, label='Others')\n",
"plt.plot(line_X, line_y, color='red')\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000\\'s [MEDV]')\n",
"plt.legend(loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 選択されなかった残りのデータを予測する"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y_test_predicted = slr.predict(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 誤差が閾値以下のものを inliers, 閾値を超えるものを outliers と分割する"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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uDBhQJKln64BKJ8O5ePEiW7ZsYevWrRgMBl566SV3lEsIIapdZSYL2q4eKCw0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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df877c0048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"idx_inliers = np.abs(y_test - y_test_predicted) <= 5.0\n",
"idx_outliers = np.abs(y_test - y_test_predicted) > 5.0\n",
"\n",
"# 判別結果をプロットする\n",
"line_X = np.arange(3, 10, 1)\n",
"line_y = slr.predict(line_X[:, np.newaxis])\n",
"plt.scatter(X_train, y_train, c='black', marker='o', s=20, label='Sampled')\n",
"plt.scatter(X_test[idx_inliers], y_test[idx_inliers], c='blue', marker='o', s=20, label='Inliers')\n",
"plt.scatter(X_test[idx_outliers], y_test[idx_outliers], c='lightgreen', edgecolor='darkgreen', marker='o', s=20, label='Outliers')\n",
"plt.plot(line_X, line_y, color='red')\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000\\'s [MEDV]')\n",
"plt.legend(loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 最初に選択したデータと inliers を合わせてもう一度モデルを学習する"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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EQbgCRQl0QZIBWZaJOxrHjTfciEVV+T12L4u323S9t6Vhl3CV0tPxnTsDzbZP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\nT3qELg8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df88caf240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X_train_2 = np.vstack([X_train, X_test[idx_inliers]])\n",
"y_train_2 = np.hstack([y_train, y_test[idx_inliers]])\n",
"\n",
"# モデルを学習する\n",
"slr_2 = LinearRegression()\n",
"slr_2.fit(X_train_2, y_train_2)\n",
"\n",
"# 学習結果をプロットする\n",
"line_X_2 = np.arange(3, 10, 1)\n",
"line_y_2 = slr_2.predict(line_X_2[:, np.newaxis])\n",
"plt.scatter(X_train, y_train, c='black', marker='o', s=20, label='Sampled')\n",
"plt.scatter(X_test[idx_inliers], y_test[idx_inliers], c='blue', marker='o', s=20, label='Inliers')\n",
"plt.scatter(X_test[idx_outliers], y_test[idx_outliers], c='lightgreen', edgecolor='darkgreen', marker='o', s=20, label='Outliers')\n",
"plt.plot(line_X, line_y, color='pink')\n",
"plt.plot(line_X_2, line_y_2, color='red')\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000\\'s [MEDV]')\n",
"plt.legend(loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- モデルの予測誤差を計算する"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean absolute error = 2.149090\n"
]
}
],
"source": [
"y_train_2_predict = slr_2.predict(X_train_2)\n",
"\n",
"err = np.mean(np.abs(y_train_2 - y_train_2_predict))\n",
"print('Mean absolute error = %f' % err)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### scikit-learn の RANSACRegressor の利用"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"scikit-learn の RANSACRegressor クラスを利用してロバスト回帰モデルを学習する\n",
"\n",
"- residual_metric パラメータは \"deprecated in version 0.18 and will be removed in version 0.20. Use 'loss' instead.\" だそうだ\n",
"\n",
"residual_metric と loss の違い\n",
"\n",
"- residual_metric は残差を受け取る一引数関数だが loss は真値と予測値を受け取る二引数関数になる\n",
"- loss には absolute_loss, square_loss という文字列を渡すことも可能\n",
"- loss の既定値は absolute_loss なので今回のプログラムでは省略可能\n",
"\n",
"参考: http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.RANSACRegressor.html"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"RANSACRegressor(base_estimator=LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False),\n",
" is_data_valid=None, is_model_valid=None, loss='absolute_loss',\n",
" max_trials=100, min_samples=50, random_state=0,\n",
" residual_metric=None, residual_threshold=5.0, stop_n_inliers=inf,\n",
" stop_probability=0.99, stop_score=inf)"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import RANSACRegressor\n",
"\n",
"# ロバスト回帰モデルのクラスをインスタンス化\n",
"ransac = RANSACRegressor(LinearRegression(),\n",
" max_trials=100,\n",
" min_samples=50,\n",
" residual_threshold=5.0,\n",
" random_state=0)\n",
"ransac.fit(X, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"学習結果の確認"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3lX3u6RzWN5hKA1ajoOKjtpN47YLZbN5eluRk61Y14eHlr+1udr4QNl676//4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\n/wERDMIpAJNL/QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df890329b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"inlier_mask = ransac.inlier_mask_\n",
"outlier_mask = np.logical_not(inlier_mask)\n",
"line_X = np.arange(3, 10, 1)\n",
"line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n",
"\n",
"plt.scatter(X[inlier_mask], y[inlier_mask], c='blue', marker='o', s=20, label='Inliers')\n",
"plt.scatter(X[outlier_mask], y[outlier_mask], c='lightgreen', edgecolor='darkgreen', marker='o', s=20, label='Outliers')\n",
"plt.plot(line_X, line_y_ransac, color='red')\n",
"plt.xlabel('Average number of rooms [RM]')\n",
"plt.ylabel('Price in $1000\\'s [MEDV]')\n",
"plt.legend(loc='upper left')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"回帰式の確認"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Slope: 10.735\n",
"Intercept: -44.089\n"
]
}
],
"source": [
"print('Slope: %.3f' % ransac.estimator_.coef_[0])\n",
"print('Intercept: %.3f' % ransac.estimator_.intercept_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"誤差の確認"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"RANSAC: Mean absolute error = 2.047113\n"
]
}
],
"source": [
"err = np.mean(np.abs(y[inlier_mask] - ransac.predict(X[inlier_mask])))\n",
"print('RANSAC: Mean absolute error = %f' % err)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10.5. 線形回帰モデルの性能評価"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"学習して得られた線形回帰モデルを用いて予測性能を評価\n",
"\n",
"- データセットを学習データとテストデータに分割\n",
"- いつものように train_test_split を使う"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"# MEDV を除くすべてのカラムを利用して MEDV を予測する\n",
"X = df.iloc[:, :-1].values\n",
"y = df['MEDV'].values\n",
"\n",
"# 学習データとテストデータに分割する\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=0)\n",
"\n",
"# LinearRegression を適用してモデル学習と予測を実行する\n",
"slr = LinearRegression()\n",
"slr.fit(X_train, y_train)\n",
"y_train_pred = slr.predict(X_train)\n",
"y_test_pred = slr.predict(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"予測値を X 軸、残差を Y 軸として図示する\n",
"\n",
"- 以下の結果は教科書どおり「予測値 - 真値」を残差としている"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3wdh88VYqW2HiRD3u8yFou0qE4mmjwHZh2gXjcQy/va8lmP73wH+hv9hk2XI3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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df876056d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(y_train_pred, y_train_pred - y_train, c='blue', marker='o', s=20, label='Training data')\n",
"plt.scatter(y_test_pred, y_test_pred - y_test, c='lightgreen', edgecolor='darkgreen', marker='o', s=20, label='Test data')\n",
"plt.xlabel('Predicted values')\n",
"plt.ylabel('Residuals')\n",
"plt.legend(loc='upper left')\n",
"plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='red')\n",
"plt.xlim([-10, 50])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 性能評価指標\n",
"\n",
"- 平均二乗誤差\n",
"- 決定係数"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MSE train: 19.958, test: 27.196\n"
]
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"\n",
"# 平均二乗誤差を出力\n",
"print('MSE train: %.3f, test: %.3f' % (mean_squared_error(y_train, y_train_pred), mean_squared_error(y_test, y_test_pred)))"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R^2 train: 0.765, test: 0.673\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"\n",
"# R^2 (決定係数) のスコアを出力\n",
"print('R^2 train: %.3f, test: %.3f' % (r2_score(y_train, y_train_pred), r2_score(y_test, y_test_pred)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 10.6. 回帰に正則化手法を使用する"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### リッジ回帰\n",
"\n",
"パラメータベクトルの L2 ノルムを正則化項とする\n",
"\n",
"$\\displaystyle J(w) = \\frac{1}{2}\\sum_{i=1}^{n}\\left(y^{(i)} - \\hat{y}^{(i)}\\right)^2 + \\lambda \\|w\\|_2$"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.linear_model import Ridge\n",
"\n",
"# リッジ回帰を適用してモデル学習と予測を実行する\n",
"ridge = Ridge(alpha=1.0)\n",
"ridge.fit(X_train, y_train)\n",
"y_train_pred = ridge.predict(X_train)\n",
"y_test_pred = ridge.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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JSz9369P8AGNq3gMHLK9v3UisrrP0wHFBhUtPT0Xkxc/SnfwB/kgxTf7HwE9B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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df87646518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(y_train_pred, y_train_pred - y_train, c='blue', marker='o', s=20, label='Training data')\n",
"plt.scatter(y_test_pred, y_test_pred - y_test, c='lightgreen', edgecolor='darkgreen', marker='o', s=20, label='Test data')\n",
"plt.xlabel('Predicted values')\n",
"plt.ylabel('Residuals')\n",
"plt.legend(loc='upper left')\n",
"plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='red')\n",
"plt.xlim([-10, 50])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MSE train: 20.145, test: 27.762\n"
]
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"\n",
"# 平均二乗誤差を出力\n",
"print('MSE train: %.3f, test: %.3f' % (mean_squared_error(y_train, y_train_pred), mean_squared_error(y_test, y_test_pred)))"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R^2 train: 0.762, test: 0.667\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"\n",
"# R^2 (決定係数) のスコアを出力\n",
"print('R^2 train: %.3f, test: %.3f' % (r2_score(y_train, y_train_pred), r2_score(y_test, y_test_pred)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"正則化項の変化によるパラメータベクトルの変化"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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r4xcGejC2T1UYcYNKy3UuniswNbnE9Pllmo3VQDSRCjO+J8PgaIqh0RTpvs1X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IILgKphGo888gjDhw/H7XZbGyyMZGdnk5qaWv0+NTWVkpISSktLLUwVHjIz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\n/w+wIGO7Ce+WKAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df877957b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.linear_model import Ridge\n",
"\n",
"alpha_range = np.arange(-4.0, 6.01, 0.1)\n",
"\n",
"coefs = np.zeros((13, len(alpha_range)))\n",
"for i, alpha in enumerate(alpha_range):\n",
" ridge = Ridge(alpha=np.power(10, alpha))\n",
" ridge.fit(X, y)\n",
" coefs[:, i] = ridge.coef_\n",
"\n",
"plt.figure(figsize=(16, 6))\n",
"plt.subplot('121')\n",
"for i in range(len(coefs)):\n",
" plt.plot(alpha_range, coefs[i, :], label=df.columns[i])\n",
"plt.gca().invert_xaxis()\n",
"plt.legend()\n",
"plt.subplot('122')\n",
"for i in range(len(coefs)):\n",
" plt.plot(alpha_range[45:81], coefs[i, 45:81], label=df.columns[i])\n",
"plt.gca().invert_xaxis()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### LASSO\n",
"\n",
"パラメータベクトルの L1 ノルムを正則化項とする\n",
"\n",
"$\\displaystyle J(w) = \\frac{1}{2}\\sum_{i=1}^{n}\\left(y^{(i)} - \\hat{y}^{(i)}\\right)^2 + \\lambda \\|w\\|_1$"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.linear_model import Lasso\n",
"\n",
"# LASSO を適用してモデル学習と予測を実行する\n",
"lasso = Lasso(alpha=1.0)\n",
"lasso.fit(X_train, y_train)\n",
"y_train_pred = lasso.predict(X_train)\n",
"y_test_pred = lasso.predict(X_test)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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9zbEZa/UfMngDwk49i2snOgFqscU5DcIbHS5H5QezwAw1tNVFZi7Kjs9CaIuN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\n7eWwbB4k7mA+z7lfz+Hxv5m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5TJw4EatWrUJMTAykUilWrVqFbdu2eXqMBOEUbtJZSEsI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\nX0RExERU+EVERExEhV9ERMRE/g+Lv57sUigqdgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1df87793ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(y_train_pred, y_train_pred - y_train, c='blue', marker='o', s=20, label='Training data')\n",
"plt.scatter(y_test_pred, y_test_pred - y_test, c='lightgreen', edgecolor='darkgreen', marker='o', s=20, label='Test data')\n",
"plt.xlabel('Predicted values')\n",
"plt.ylabel('Residuals')\n",
"plt.legend(loc='upper left')\n",
"plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='red')\n",
"plt.xlim([-10, 50])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MSE train: 24.717, test: 32.345\n"
]
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"\n",
"# 平均二乗誤差を出力\n",
"print('MSE train: %.3f, test: %.3f' % (mean_squared_error(y_train, y_train_pred), mean_squared_error(y_test, y_test_pred)))"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"R^2 train: 0.708, test: 0.612\n"
]
}
],
"source": [
"from sklearn.metrics import r2_score\n",
"\n",
"# R^2 (決定係数) のスコアを出力\n",
"print('R^2 train: %.3f, test: %.3f' % (r2_score(y_train, y_train_pred), r2_score(y_test, y_test_pred)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"正則化項の変化によるパラメータベクトルの変化"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Yls1vbv8IPmXzQv9evvTS/8tvX/4gbdHWJYvrYgnVbiTR9xTZxDEi8a2VDkcI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