{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"jp-MarkdownHeadingCollapsed": true,
"tags": [],
"toc": true
},
"source": [
"
Table of Contents
\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"# 混合モデルの一例:「条件付き混合線形回帰」\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ここでは、BishopのテキストPRMLに記載されている理論式(14.5節 Mixtures of liniear regression models)を直接プログラミングした事例を紹介する。[PRMLの目次](http://ibisforest.org/index.php?PRML/course#f74ebe98)\n",
"\n",
"混合モデルはわかりにくい用語で、英語名のとおり、複数の線形回帰モデルの混合と呼ぶ方が内容を反映している。あるデータを、複数の線形モデルが混ざり合っているものとして解釈するのが妥当な場合に適用する機械学習の方法である。\n",
"\n",
"イメージをつかむためにPRMLの図を以下に掲げる。単純に線形回帰を行うと、\n",
"\n",
"
\n",
"\n",
"のようになるが、これは2つの線形関係をもつデータが混ざり合っていると解釈するのが妥当だろう。以下で述べる手法を用いると、\n",
"\n",
"
\n",
"\n",
"のように出力できる。\n",
"\n",
"Scikit-learnにはGaussian Mixture Model\n",
"\n",
"https://scikit-learn.org/stable/modules/mixture.html\n",
"\n",
"として実装されているが、回帰問題への応用はなされていない。\n",
"\n",
"回帰への適用については、GMRというライブラリが次のURL公開されているので、興味がある人は試してみてほしい。\n",
"\n",
"https://github.com/AlexanderFabisch/gmr"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 事例\n",
"\n",
"Wi-Fiパケットセンサを各地に配置して、移動端末のプローブパケット数を観測することにより、地点人口(人出)を推定する試みを行った。\n",
"\n",
"(データは現在も収集、公開している https://8tops.yamanashi.ac.jp/kofu/\n",
"\n",
"以下のデータは、市街地の20カ所にセンサを配置して得られたWi-Fiアドレス数と、同じ地点に人を配置し、目視で通行者数をカウントしたデータである。\n",
"\n",
"https://8tops.yamanashi.ac.jp/~toyoki/lectures/PracDataSci/data/data4mixed_model.csv"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import seaborn as sns\n",
"from matplotlib import pyplot as plt\n",
"plt.rcParams['font.family'] = 'IPAPGothic' # 全体のフォントを設定"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = pd.read_csv(\"data/data4mixed_model.csv\")\n",
"sns.pairplot(x_vars=['mobile_addr'], y_vars=['pedestrian'], data=df, hue='sensor_name', height=6)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ひとつの曲線を引くには無理である。視覚的には、3つのカテゴリに分けられるように見える。\n",
"\n",
"このデータに対して混合線形回帰を適用してみる。\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"## 条件付き混合線形回帰\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"PRMLテキスト14章のモデル\n",
"\n",
"https://qiita.com/ctgk/items/3f7e9b37e9bc81b5c063\n",
"\n",
"のプログラム例を修正拡張し、上記のサンプルデータに対して「条件付き混合線形回帰」を試す。\n",
"\n",
"これは、EM(Expectation-Maximization)アルゴリズムと呼ばれる、クラス分けの手法を回帰に応用したもので、この分離アルゴリズムとベイズ流の線形回帰をうまく組み合わせて用いる手法といえる。\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# ライブラリのインポート\n",
"import itertools\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"%matplotlib inline\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 条件付き混合線形回帰を行う関数の定義\n",
"\n",
"上記ページの変型版をつくる。\n",
"\n",
"(注)\n",
"- 計画行列は、説明変数の各データを1行として、縦に並べたもの。\n",
" \n",
"- 1列目は定数項とするので1を並べる。\n",
" \n",
"- 説明変数が1個の場合は、データ数を$N$とすると$N$行2列の行列になる。"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"# 計画行列(design matrix)の作成\n",
"# 特徴ベクトル(一つのデータ)を1行とし、各データを縦に並べた行列\n",
"from functools import reduce\n",
"class PolynomialFeatures(object):\n",
"\n",
" def __init__(self, degree=2):\n",
" assert isinstance(degree, int)\n",
" self.degree = degree\n",
"\n",
" def transform(self, x):\n",
" if x.ndim == 1:\n",
" x = x[:, None]\n",
" x_t = x.transpose()\n",
" features = [np.ones(len(x))]\n",
" for degree in range(1, self.degree + 1):\n",
" for items in itertools.combinations_with_replacement(x_t, degree):\n",
" features.append(reduce(lambda x, y: x * y, items))\n",
" return np.asarray(features).transpose()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import copy\n",
"# 条件付き混合線形回帰の本体\n",
"class ConditionalMixtureModel(object):\n",
"\n",
" def __init__(self, n_models=2):\n",
" # モデルの個数を指定\n",
" self.n_models = n_models\n",
"\n",
" # 最尤推定を行うメソッド\n",
" def fit(self, X, t, n_iter=100):\n",
" # 推定したいパラメータ(重み係数、混合係数、分散)の初期化\n",
" coef = np.linalg.pinv(X).dot(t)\n",
" print(coef)\n",
" self.coef = coef + np.random.normal(size=len(coef))\n",
" for i in range(self.n_models - 1): # バグ修正 (3以上のモデル数に対応)\n",
" self.coef = np.vstack((self.coef,\n",
" coef + np.random.normal(size=len(coef))))\n",
" self.coef = self.coef.T\n",
" self.var = np.mean(np.square(X.dot(coef) - t))\n",
" self.weight = np.ones(self.n_models) / self.n_models\n",
" self.rec_coef = [{'step':0, 'coef': copy.deepcopy(self.coef)}]\n",
"\n",
" # EMステップを指定した回数だけ繰り返す\n",
" for i in range(n_iter):\n",
" # Eステップ 負担率E[z_nk]を各データ、各モデルごとに計算\n",
" self.resp = self._expectation(X, t) \n",
" # Mステップ パラメータについて最大化\n",
" self._maximization(X, t, self.resp)\n",
" # 係数の履歴を記録\n",
" self.rec_coef.append({'step': i+1, 'coef': copy.deepcopy(self.coef)}) \n",
" # ガウス関数\n",
" def _gauss(self, x, y):\n",
" return np.exp(-(x - y) ** 2 / (2 * self.var))\n",
"\n",
" # Eステップ 負担率gamma_nk=E[z_nk]を計算\n",
" def _expectation(self, X, t):\n",
" # PRML式(14.37)\n",
" # print(X.dot(self.coef))\n",
" responsibility = self.weight * self._gauss(X.dot(self.coef), t[:, None])\n",
" responsibility /= np.sum(responsibility, axis=1, keepdims=True)\n",
" return responsibility\n",
"\n",
" # Mステップ パラメータについて最大化\n",
" def _maximization(self, X, t, resp):\n",
" # PRML式(14.38) 混合係数の計算\n",
" self.weight = np.mean(resp, axis=0)\n",
" for m in range(self.n_models):\n",
" # PRML式(14.42) 各モデルごとに係数を計算\n",
" self.coef[:, m] = np.linalg.inv((X.T * resp[:, m]).dot(X)).dot(X.T * resp[:, m]).dot(t)\n",
"\n",
" # PRML式(14.44) 分散の計算\n",
" self.var = np.mean(\n",
" np.sum(resp * np.square(t[:, None] - X.dot(self.coef)), axis=1))\n",
"\n",
" def predict(self, X):\n",
" return X.dot(self.coef)\n",
" \n",
" def getResponsibility(self):\n",
" return self.resp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### サンプルデータの作成とテスト\n",
"\n",
"#### サンプルデータの作成\n",
"\n",
"- 2つの混合データをつくる関数 create_toy_data\n",
"- 上記を変形して傾きが異なる3種類のデータを作る関数 create_toy_data2"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"code_folding": [],
"tags": []
},
"outputs": [],
"source": [
"# サンプルデータ作成関数 (オリジナル版)\n",
"def create_toy_data(sample_size=20, std=0.1):\n",
" x = np.linspace(-1, 1, sample_size)\n",
" y = (x > 0.).astype(np.float) * 2 - 1\n",
" y = x * y\n",
" y += np.random.normal(scale=std, size=sample_size)\n",
" return x, y"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"code_folding": [],
"tags": []
},
"outputs": [],
"source": [
"# サンプルデータ作成関数 その2 (3種類データ)\n",
"def create_toy_data2(sample_size=30, std=0.2):\n",
" x = np.linspace(0, 3, sample_size)\n",
" x = np.hstack((x,np.linspace(0, 3, sample_size)))\n",
" x = np.hstack((x,np.linspace(0, 3, sample_size)))\n",
" y = np.zeros(sample_size*3)\n",
" y[:sample_size] = x[:sample_size] + 0.1\n",
" y[sample_size: sample_size*2] = 2.0* x[sample_size: sample_size*2] -0.5\n",
" y[sample_size*2:] = 3.0 * x[sample_size*2:]\n",
" y += np.random.normal(scale=std, size=sample_size*3)\n",
" return x, y"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x_train,y_train = create_toy_data2(30, std=0.5)\n",
"plt.figure(figsize=(6,6))\n",
"plt.scatter(x_train,y_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### サンプルデータへの条件付き混合モデルの適用\n",
"\n",
"モデルの数(何種類の混合とみるか)はハイパーパラメータとしてあたえる必要がある。\n",
"\n",
"- create_toy_dataでは2種類を想定しているので、n_modelsは2, create_toy_data2では3\n",
"- 試しに、create_toy_data2で作ったものをn_model=2で計算してみてもよい。\n",
"- 描画の色指定は2種類あるいは3種類の場合にしか対応してないことの注意 (それ以上の場合は、各自で工夫してください。)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"list(test_single[:,0]+first_year)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-1.55110069e-03 1.95391914e+00]\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import math\n",
"\n",
"# PolynomialFeaturesはべき基底関数をつくるための関数!\n",
"# たとえば、degree=2とすると、y = a x + b x**2 のような2次式のフィッティングを行うために、1, x, x**2を列とする(N,3)行列の計画行列になる\n",
"# 本研究の場合は線形なのでdegree=1\n",
"\n",
"feature = PolynomialFeatures(degree=1)\n",
"X_train = feature.transform(x_train)\n",
"\n",
"# 条件付き混合モデルの用意(モデル数を指定) \n",
"n_models = 3\n",
"model = ConditionalMixtureModel(n_models=n_models)\n",
"\n",
"# 学習:パラメータの最尤推定を行う\n",
"model.fit(X_train, y_train,n_iter=500)\n",
"\n",
"# 予測\n",
"x = np.linspace(0, 3, 100)\n",
"X = feature.transform(x)\n",
"Y = model.predict(X)\n",
"\n",
"# Figureの初期化\n",
"fig = plt.figure(figsize=(6, 6))\n",
"# Figure内にAxesを追加()\n",
"ax = fig.add_subplot(111) #...2\n",
"\n",
"# トレーニングデータの描画\n",
"for i, c in enumerate(model.getResponsibility()): # データ点ごとに負担率(responsibility)で色付け描画\n",
" if len(c) == 2:\n",
" color = [c[0], c[1], 0]\n",
" else:\n",
" color = c\n",
" ax.scatter([x_train[i]], [y_train[i]], color=color)\n",
"\n",
"# 回帰線の描画\n",
"for i in range(n_models):\n",
" ax.plot(x, Y[:, i])\n",
"\n",
"# 標準偏差の幅で色付けしてみる\n",
"std_dev = math.sqrt(model.var)\n",
"for i in range(n_models):\n",
" ax.fill([x[0],x[0],x[-1],x[-1]],\n",
" [Y[0,i]-std_dev, Y[0,i]+std_dev, Y[-1,i]+std_dev, Y[-1,i]-std_dev], alpha=0.2)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"データ点をクラスごとに色付けしてある。複数のクラスに属しているデータ点は混合した色になっている。各点がどのクラスに属するかのウェートは負担率(responsibility)と呼ばれる。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 実践的な事例\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" sensor_name | \n",
" date | \n",
" hour | \n",
" mobile_addr | \n",
" pedestrian | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" H | \n",
" 20181130 | \n",
" 10 | \n",
" 144 | \n",
" 67 | \n",
"
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" \n",
" 1 | \n",
" H | \n",
" 20181130 | \n",
" 11 | \n",
" 239 | \n",
" 90 | \n",
"
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" \n",
" 2 | \n",
" H | \n",
" 20181130 | \n",
" 12 | \n",
" 173 | \n",
" 110 | \n",
"
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" \n",
" 3 | \n",
" H | \n",
" 20181130 | \n",
" 13 | \n",
" 184 | \n",
" 70 | \n",
"
\n",
" \n",
" 4 | \n",
" H | \n",
" 20181130 | \n",
" 14 | \n",
" 277 | \n",
" 89 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" sensor_name date hour mobile_addr pedestrian\n",
"0 H 20181130 10 144 67\n",
"1 H 20181130 11 239 90\n",
"2 H 20181130 12 173 110\n",
"3 H 20181130 13 184 70\n",
"4 H 20181130 14 277 89"
]
},
"execution_count": 125,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv(\"data/data4mixed_model.csv\")\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### データの散布図"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.pairplot(x_vars=['mobile_addr'], y_vars=['pedestrian'], data=df, hue='sensor_name', height=6)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"20地点のデータであるが、関係は3つにカテゴライズできそうに見える。\n",
"そこで、3種類の混合線形モデルとして分析してみる\n",
"\n",
"### 混合線形モデルによる分析\n",
"\n",
"負担率を色で表示 (seabornでの表示は今後)"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import math\n",
"\n",
"x_train = df['mobile_addr'].values\n",
"y_train = df['pedestrian'].values\n",
"\n",
"# 特徴ベクトルの定義(次数1)\n",
"feature = PolynomialFeatures(degree=1)\n",
"\n",
"# 計画行列への変換\n",
"X_train = feature.transform(x_train)\n",
"#print(X_train)"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[7.62914484e+01 5.40527021e+01 2.81175125e+02]\n",
" [7.84904007e-02 2.50731834e-01 2.27399650e-01]]\n",
"3334.588704964099\n"
]
}
],
"source": [
"# 条件付き混合モデルの用意(モデル数3) \n",
"model = ConditionalMixtureModel(n_models=3)\n",
"\n",
"# パラメータの最尤推定を行う\n",
"model.fit(X_train, y_train,n_iter=500)\n",
"\n",
"# 結果を図示\n",
"x = np.linspace(0, 3500, 200)\n",
"X = feature.transform(x)\n",
"Y = model.predict(X)\n",
"# Figureの初期化\n",
"fig = plt.figure(figsize=(8, 8))\n",
"# Figure内にAxesを追加()\n",
"ax = fig.add_subplot(111) #...2\n",
"\n",
"for i, c in enumerate(model.getResponsibility()): # データ点ごとに負担率(responsibility)で色付け描画\n",
" ax.scatter([x_train[i]], [y_train[i]], color=c)\n",
"\n",
"# 回帰線の描画\n",
"ax.plot(x, Y[:, 0])\n",
"ax.plot(x, Y[:, 1])\n",
"ax.plot(x, Y[:, 2])\n",
"std_dev = math.sqrt(model.var)\n",
"# 標準偏差の幅で色付けしてみる\n",
"ax.fill([x[0],x[0],x[-1],x[-1]],\n",
" [Y[0,0]-std_dev, Y[0,0]+std_dev, Y[-1,0]+std_dev, Y[-1,0]-std_dev], alpha=0.2)\n",
"ax.fill([x[0],x[0],x[-1],x[-1]],\n",
" [Y[0,1]-std_dev, Y[0,1]+std_dev, Y[-1,1]+std_dev, Y[-1,1]-std_dev], alpha=0.2)\n",
"ax.fill([x[0],x[0],x[-1],x[-1]],\n",
" [Y[0,2]-std_dev, Y[0,2]+std_dev, Y[-1,2]+std_dev, Y[-1,2]-std_dev], alpha=0.2)\n",
"plt.show()\n",
"print(model.coef) # 回帰係数\n",
"print(model.var) # 分散\n",
"# print(model.getResponsibility())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"上記のプログラムを繰り返し実行すると、実行ごとに結果が変化することが見て取れるだろう。つまり、最大尤度に到達していないのである。これは単純に反復計算数を増やすことでは解決しない。3つのカテゴリに分けることが本質的に困難なデータであるのか、尤度最大を見つける方法に工夫が必要なのかは未解明である。\n",
"\n",
"また、ガウス分布の分散が一定であるという仮定にも問題があることを指摘しておく。\n",
"\n",
"(実際の研究には、この方法ではなく、センサごとにクラス分けした階層線形モデルが用いられた。)"
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": []
},
"source": [
"## 実践的な例2:甲府の気温データ\n",
"\n",
"初回の導入に事例として用いた甲府市の年間気温の推移は、ある時期を境に変化が質的に変わっているのではないかと考え、混合モデルを適用してみる。\n",
"\n",
"個々で作成したConditionalMixtureModelを用いる際には、適当なデータのスケール変換をしないと、数値オーバーフローが起きる。\n"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" 年月 | \n",
" 平均気温(℃) | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1895/1 | \n",
" 0.2 | \n",
"
\n",
" \n",
" 1 | \n",
" 1895/2 | \n",
" 1.0 | \n",
"
\n",
" \n",
" 2 | \n",
" 1895/3 | \n",
" 7.2 | \n",
"
\n",
" \n",
" 3 | \n",
" 1895/4 | \n",
" 12.7 | \n",
"
\n",
" \n",
" 4 | \n",
" 1895/5 | \n",
" 17.4 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" 年月 平均気温(℃)\n",
"0 1895/1 0.2\n",
"1 1895/2 1.0\n",
"2 1895/3 7.2\n",
"3 1895/4 12.7\n",
"4 1895/5 17.4"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"df_temperature = pd.read_csv(\"data/temperature_data_kofu.csv\")\n",
"df_temperature.head()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" 年月 | \n",
" 平均気温(℃) | \n",
" date | \n",
" year | \n",
"
\n",
" \n",
" \n",
" \n",
" 300 | \n",
" 1920/1/1 | \n",
" 2.5 | \n",
" 1920-01-01 | \n",
" 1920 | \n",
"
\n",
" \n",
" 301 | \n",
" 1920/2/1 | \n",
" 2.0 | \n",
" 1920-02-01 | \n",
" 1920 | \n",
"
\n",
" \n",
" 302 | \n",
" 1920/3/1 | \n",
" 7.2 | \n",
" 1920-03-01 | \n",
" 1920 | \n",
"
\n",
" \n",
" 303 | \n",
" 1920/4/1 | \n",
" 13.1 | \n",
" 1920-04-01 | \n",
" 1920 | \n",
"
\n",
" \n",
" 304 | \n",
" 1920/5/1 | \n",
" 17.5 | \n",
" 1920-05-01 | \n",
" 1920 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" 年月 平均気温(℃) date year\n",
"300 1920/1/1 2.5 1920-01-01 1920\n",
"301 1920/2/1 2.0 1920-02-01 1920\n",
"302 1920/3/1 7.2 1920-03-01 1920\n",
"303 1920/4/1 13.1 1920-04-01 1920\n",
"304 1920/5/1 17.5 1920-05-01 1920"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_temperature['date'] = pd.to_datetime(df_temperature['年月'])\n",
"df_temperature['year'] = df_temperature['date'].dt.year\n",
"# 1920以降のデータを採用\n",
"df_temperature = df_temperature[df_temperature['year']>=1920]\n",
"df_temperature.head()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_annual = df_temperature[[\"year\",\"平均気温(℃)\"]].groupby('year').mean().reset_index()\n",
"df_annual = df_annual[df_annual[\"year\"]!=1945]\n",
"df_annual.plot(x=\"year\", y=\"平均気温(℃)\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次の例では、1910年から2022年までのデータに限り、温度のスケール変換を行ってから学習、評価し、結果をもとのスケールに戻している。"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"\n",
"n_models=2\n",
"# スケール変換 (切片が0付近でないと数値エラーになる。ガウシアンの計算上において)\n",
"syear = 1910\n",
"eyear = 2025\n",
"base_temp = 12.0\n",
"scaler_temp = 10.0\n",
"\n",
"x_train = df_annual['year'].values - syear\n",
"y_train = (df_annual['平均気温(℃)'].values - base_temp)*scaler_temp\n",
" \n",
"# 特徴ベクトルの定義(次数1)\n",
"feature = PolynomialFeatures(degree=1)\n",
"# 計画行列への変換\n",
"X_train = feature.transform(x_train)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[6.33362827 0.23927175]\n"
]
}
],
"source": [
"# 条件付き混合モデルの用意(モデル数2) \n",
"model = ConditionalMixtureModel(n_models=n_models)\n",
"# パラメータの最尤推定を行う\n",
"model.fit(X_train, y_train,n_iter=1000)\n",
"\n",
"# 結果を図示\n",
"x = np.linspace(0, eyear - syear, int(eyear - syear))\n",
"X = feature.transform(x)\n",
"Y = model.predict(X)\n",
"\n",
"# print(y_train)"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[14.32098097 5.49560094]\n",
" [ 0.03267888 0.26301454]]\n",
"12.686178557963\n"
]
}
],
"source": [
"# Figureの初期化\n",
"fig = plt.figure(figsize=(7, 5))\n",
"# Figure内にAxesを追加()\n",
"ax = fig.add_subplot(111) #...2\n",
"\n",
"for i, c in enumerate(model.getResponsibility()): # データ点ごとに負担率(responsibility)で色付け描画\n",
" if len(c) == 2:\n",
" color = [c[0], 0, c[1]]\n",
" else:\n",
" color = c\n",
" ax.scatter([x_train[i]+syear], [y_train[i]/scaler_temp + base_temp], color=color)\n",
"\n",
"# 回帰線の描画\n",
"ax.plot(x+syear, Y[:, 0]/scaler_temp + base_temp, \"r-\")\n",
"ax.plot(x+syear, Y[:, 1]/scaler_temp + base_temp, \"b-\")\n",
"\n",
"#ax.plot(x, Y[:, 2])\n",
"std_dev = math.sqrt(model.var)\n",
"# 標準偏差の幅で色付けしてみる\n",
"#ax.fill([x[0],x[0],x[-1],x[-1]],\n",
"# [Y[0,0]-std_dev, Y[0,0]+std_dev, Y[-1,0]+std_dev, Y[-1,0]-std_dev], alpha=0.2)\n",
"#ax.fill([x[0],x[0],x[-1],x[-1]],\n",
"# [Y[0,1]-std_dev, Y[0,1]+std_dev, Y[-1,1]+std_dev, Y[-1,1]-std_dev], alpha=0.2)\n",
"#ax.fill([x[0],x[0],x[-1],x[-1]],\n",
"# [Y[0,2]-std_dev, Y[0,2]+std_dev, Y[-1,2]+std_dev, Y[-1,2]-std_dev], alpha=0.2)\n",
"plt.show()\n",
"print(model.coef) # 回帰係数\n",
"print(model.var) # 分散\n",
"# print(model.getResponsibility())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 方法についての概念的解説\n",
"\n",
"重み(線形回帰の係数:切片と傾き) ${\\bf w}_k$で定義される$K$個の線形回帰モデルを考える。データの確率分布は、$K$個の直線の周りにガウス分布すると仮定するのである。\n",
"\n",
"$k$個のモデルの重みを$\\pi_k$とし、ガウス分布の分散を$\\beta^{-1}$とすると、目的変数の確率分布は\n",
"$$\n",
" p(t|{\\bf \\theta}) = \\sum_1^{k} \\pi_k \\cal{N}(t| {\\bf w}_k^T{\\bf \\phi}, \\beta^{-1})\n",
"$$\n",
"と書くことができる。$\\cal{N}$はガウス分布であり、左辺の${\\bf \\theta}$は、これから決めるパラメータ${\\bf w}_k$、$\\pi_k$、$\\beta$の総称である。\n",
"\n",
"\n",
"\n",
"観測値$\\{{\\bf \\phi}_n, t_n\\}$ ($n=1,\\cdots, N$) が与えられたときの対数尤度関数(そのようなデータが現れる尤もらしさの対数)は\n",
"\n",
"$$\n",
" \\ln p({\\bf t}|{\\bf \\theta}) = \\sum_{n=1}^{N} \\ln \\left[\n",
" \\sum_{k=1}^K \\pi_k \\cal{N} (t_n | {\\bf w}_k^T{\\bf \\phi}, \\beta^{-1})\n",
" \\right]\n",
"$$\n",
"\n",
"のように表される。\n",
"\n",
"\n",
"3種のパラメータを、EM法 (Expectation-Maximization method)できめる。EM法は、EステップとMステップの2段階からなり、それを繰り返して尤度が最大になるパラメータを求める。\n",
"\n",
"最初に、上の図の回帰直線の初期値をセットし、データ点に基づいて以下の2段階の最適化を行う。\n",
"\n",
"- **Eステップ** 各データ点の負担率(responsibility)の更新\n",
" - 与えられた$\\{{\\bf w}_k\\}$、$\\beta$について、各データ点がどちらの直線に近いかの割合(負担率)を決める。\n",
" - 負担率を変数として含む対数尤度関数の表式を負担率で微分した式がゼロとなる(つまり極値をとる)条件を解いて「負担率=」の形に表した式。(テキストの(14.37)式)から計算する。\n",
"\n",
"- **Mステップ** 分布のパラメータ${\\bf \\theta}$を更新する。\n",
" - 負担率を固定した対数尤度関数について、それぞれのパラメータで微分した式がゼロとする式を解いて得られる、「パラメータ=」の表式(テキスト(14.38), (14.42), (14.44)式) から計算する。\n",
"\n",
"ここで用いているクラスConditionalMixtureModelでは、この2ステップを繰り返して、最適なパラメータ値を求めている。繰り返しは30ステップくらいで定常値に到達するようである。\n",
"\n",
"最適値を求める式は、対数尤度関数をそれぞれのパラメータで微分した値がゼロになる条件(つまり極値をとる条件)から導出しているので、グローバルな最大値にはならず、あくまでも局所的な最大値にしか到達しない。つまり、一般には初期値に依存してしまう。そこで、初期値を乱数で与え、もっとも良い結果($\\beta^{-1}$が小さくなるもの)を与える回帰係数を探す。\n"
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"### 詳細\n",
"\n",
"#### Eステップ\n",
"\n",
"各データについて分担率を決めるために、2値潜在変数${\\bf z}_n= \\{ z_{n1}, z_{n2}, \\cdots , z_{nK}\\}$を導入する。$k= 1, \\cdots, K$のうちどれか一つだけが$1$となり、他は0である。${\\bf Z} = \\{{\\bf z}_n\\}$をパラメータとして含む対数尤度関数は\n",
"\n",
"$$\n",
"\\ln p({\\bf t},{\\bf Z}|{\\bf \\theta}) = \\sum_{n=1}^{N} \\sum_{k=1}^{K} z_{nk} \\ln \\left[\n",
" \\sum_{k=1}^K \\pi_k \\cal{N} (t_n | {\\bf w}_k^T{\\bf \\phi}, \\beta^{-1})\n",
" \\right]\n",
"$$\n",
"\n",
"初期のパラメータを${\\bf \\theta}^{{\\rm old}}$のもとでの$z_{nk}$の期待値として分担率を求める:\n",
"\n",
"$$\n",
" \\gamma_{nk} = \\mathbb{E}[z_{nk}] = p(k| {\\bf \\phi}_n, {\\bf \\theta}^{{\\rm old}})\n",
" = \\frac{\\pi_k \\cal{N}(t_n| {\\bf w}_k^T {\\bf \\phi}, \\beta^{-1})}\n",
" {\\sum_{j} \\pi_j \\cal{N}(t_n| {\\bf w}_k^T{\\bf \\phi}, \\beta^{-1})}\n",
"$$\n",
"\n",
"決定した分担率のもとでの対数尤度の期待値を\n",
"\n",
"$$\n",
" Q({\\bf \\theta}, {\\bf \\theta}^{{\\rm old}}) = \\mathbb{E}_{\\bf Z} \\left[ \\ln p ({\\bf t}, {\\bf Z}| {\\bf \\theta}) \\right]\n",
" = \\sum_{n=1}^N \\sum_{k=1}^K \\gamma_{nk} \\left\\{ \\ln \\pi_{k} + \\ln \\cal{N}(t_n| {\\bf w}_k^{\\rm T}{\\bf \\phi}_n, \\beta^{-1} \\right\\}\n",
"$$\n",
"\n",
"#### Mステップ\n",
"\n",
"$Q({\\bf \\theta}, {\\bf \\theta}^{{\\rm old}})$の各パラメータでの微分をゼロとした式より、パラメータ値を求める。\n"
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