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@tok41
Created April 14, 2023 14:50
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{
"cells": [
{
"cell_type": "markdown",
"id": "68372e96-8bc2-4a49-a71d-c5d8ee7b73c2",
"metadata": {},
"source": [
"# GLM(一般化線形モデル)の実装例\n",
"\n",
"- ここでは、GLMの一つであるロジスティック回帰モデルの実装例を紹介する\n",
"- モデルの定義とパラメータの推論を実装する"
]
},
{
"cell_type": "markdown",
"id": "80584d3b-4560-4518-9efa-6d30a9bad203",
"metadata": {},
"source": [
"## ライブラリのimport"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "3c868a18-c98c-4b2c-aea6-75d7a76c567d",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import scipy"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8b421ba3-5118-4e46-9eb2-e06bab0249e4",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set(font_scale=1.5)\n",
"c_list = sns.color_palette().as_hex()\n",
"color_num = len(c_list)"
]
},
{
"cell_type": "markdown",
"id": "9f38843c-5b97-4af0-a4a0-e432e793a8e6",
"metadata": {},
"source": [
"描画関連のライブラリは、`matplotlib`だけが必須で`seaborn`は特に必要ではない。\n",
"\n",
"`seaborn`については、下記ページなどを参照。\n",
"\n",
"- [seabornを利用したデータ可視化(data visualization)の基礎: あつまれ統計の森](https://www.hello-statisticians.com/python/data-vis-seaborn-01.html)"
]
},
{
"cell_type": "markdown",
"id": "3b433fd7-1856-43e6-a77a-82e74d4aa6da",
"metadata": {
"tags": []
},
"source": [
"## 問題設定1: トイデータ\n",
"\n",
"一つ目の問題設定として、正解モデルがわかっているという仮定でトイデータを作成し、\n",
"勾配法によってパラメータの推論が想定通りにできるのかを確認する。"
]
},
{
"cell_type": "markdown",
"id": "fba00cad-ef3a-48f9-9235-0f7ea25b619d",
"metadata": {},
"source": [
"### 真のモデル設定\n",
"\n",
"実際の問題では観測されない、真のモデル。今回はトイデータを生成するために、データの生成モデルを以下のように設定。\n",
"\n",
"- 目的変数$y_i$のモデル: $y_i \\sim \\mathrm{Bern}\\left( y_i | p_i \\right)$\n",
"- $y_i$の生起確率: $p_i = \\mathrm{Sigmoid}(r_i) = \\frac{\\exp(r_i)}{1 + \\exp(r_i)} = \\frac{1}{1 + \\exp(-r_i)}$\n",
"- 線形予測子: $r_i = \\beta_0 + \\beta_1 x$\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "61630a30-21f3-4dbb-9e96-c65982f39bf5",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def linear_predictor(x, b0=1.0, b1=2.0):\n",
" return (b0 + b1*x)\n",
"\n",
"def prob(r):\n",
" return (1. / (1. + np.exp(-1. * r)))\n",
"\n",
"def sample(x):\n",
" r = linear_predictor(x)\n",
" p = prob(r)\n",
" y = scipy.stats.bernoulli(p=p).rvs()\n",
" return y"
]
},
{
"cell_type": "markdown",
"id": "16acf26d-df01-4017-b779-8b45c023f832",
"metadata": {},
"source": [
"モデル設定を確認する"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "3fb5e442-42e4-49c1-9178-ecd24444a28e",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs_set = np.linspace(-5, 5, 20)\n",
"rs_set = linear_predictor(xs_set)\n",
"ps_set = prob(rs_set)\n",
"\n",
"fig, axs = plt.subplots(2, 1, figsize=(10, 5), sharex=True)\n",
"axs[0].plot(xs_set, rs_set, \"-o\", color=c_list[0], label=\"linear_predictor\")\n",
"axs[0].legend();\n",
"axs[1].plot(xs_set, ps_set, \"-^\", color=c_list[1], label=\"probability\")\n",
"axs[1].legend();"
]
},
{
"cell_type": "markdown",
"id": "8a934531-01e6-4579-9432-a290276a8968",
"metadata": {},
"source": [
"真のモデルからデータを生成する。\n",
"このデータを利用してモデルのパラメータ($\\beta_0, \\beta_1$)を推定する。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "db33fd6a-8acf-4733-9d2f-390260bbc9e7",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X = np.random.uniform(low=-5, high=5, size=100)\n",
"Y = sample(X)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n",
"ax.scatter(X, Y, color=c_list[2], label=\"data\")\n",
"ax.legend();"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "63ca210f-4bc7-4b4b-9da6-1f9790099274",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>x</th>\n",
" <th>y</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>3.600517</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1.456812</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>-1.345468</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4.971737</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>4.010470</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>-0.392284</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>2.128578</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>2.351752</td>\n",
" <td>1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>-3.925091</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>-1.889087</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x y\n",
"0 3.600517 1\n",
"1 1.456812 1\n",
"2 -1.345468 1\n",
"3 4.971737 1\n",
"4 4.010470 1\n",
"5 -0.392284 0\n",
"6 2.128578 1\n",
"7 2.351752 1\n",
"8 -3.925091 0\n",
"9 -1.889087 0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame({\n",
" \"x\": X, \"y\": Y\n",
"}).head(n=10)"
]
},
{
"cell_type": "markdown",
"id": "f88d9e46-1315-4756-a23b-55aa39c9e268",
"metadata": {},
"source": [
"### モデル設計(データをフィッティングするモデル)\n",
"\n",
"1次の線形予測子によるロジスティック回帰モデルを仮定する(真のモデルと同じ)。\n",
"\n",
"- 目的変数$y_i$のモデル: $y_i \\sim \\mathrm{Bern}\\left( y_i | p_i \\right)$\n",
"- $y_i$の生起確率: $p_i = \\mathrm{Sigmoid}(r_i) = \\frac{1}{1 + \\exp(-r_i)}$\n",
"- 線形予測子: $r_i = \\beta_0 + \\beta_1 x$\n",
"\n",
"このモデルにおける未知のパラメータは線形予測子の係数($\\beta_0, \\beta_1$)の二つ。"
]
},
{
"cell_type": "markdown",
"id": "83c757f2-c527-4bca-a309-92d37c348a7a",
"metadata": {},
"source": [
"### パラメータ推定(勾配法)\n",
"\n",
"対数尤度関数($\\log L(\\beta_0, \\beta_1)$)の勾配は下記の通り\n",
"\n",
"$$\n",
"\\begin{align}\n",
"\\frac{\\partial \\log{L(\\beta_0,\\beta_1)}}{\\partial \\beta_0} &= \\sum_{i=1}^{n} (y_i - p_i) \\\\\n",
"\\frac{\\partial \\log{L(\\beta_0,\\beta_1)}}{\\partial \\beta_1} &= \\sum_{i=1}^{n} (y_i - p_i) x_i\n",
"\\end{align}\n",
"$$\n",
"\n",
"勾配の導出にあたっては下記を参照\n",
"\n",
"- [最尤法とGLM(Generalized Linear Model)|問題演習で理解する統計学【7】: あつまれ統計の森](https://www.hello-statisticians.com/practice/stat_practice7.html)\n",
"- [【統計の森ちゃんねる】演習で理解する統計学シリーズ: YouTube](https://youtube.com/playlist?list=PL43evawK_NGSsD6SRozDRBTJjzLgDULv9)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "25ecdf27-d04c-4af9-a35f-1af786ae26e6",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(b0, b1) = ( 0.846, 1.89)\n"
]
}
],
"source": [
"# 初期値\n",
"b0, b1 = 0.0, 1.0\n",
"\n",
"# 学習係数\n",
"alpha = 0.1\n",
"\n",
"epoch = 30 # 繰り返し回数(epoch数)\n",
"trace = [[b0, b1]]\n",
"for i in range(epoch):\n",
" rs = linear_predictor(X, b0=b0, b1=b1)\n",
" ps = prob(rs)\n",
" b0 = b0 + alpha * np.sum(Y - ps)\n",
" b1 = b1 + alpha * np.sum((Y - ps)*X)\n",
" trace.append([b0, b1])\n",
"trace = np.array(trace)\n",
"\n",
"print(f\"(b0, b1) = ({b0: 2.3}, {b1: 2.3})\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "68e230c9-2d21-4737-bcca-d54f3de1b47a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(10, 3))\n",
"ax.plot(trace[:, 0], label=\"b0\")\n",
"ax.plot(trace[:, 1], label=\"b1\")\n",
"ax.legend();\n",
"ax.set_xlabel(\"epoch\");"
]
},
{
"cell_type": "markdown",
"id": "4aa2500c-ac06-4440-a134-bdc98328856a",
"metadata": {},
"source": [
"学習結果の確認"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "3301914f-fe46-4649-837a-81eff77e6eef",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs = np.linspace(-5, 5, 100)\n",
"rs = linear_predictor(xs, b0=b0, b1=b1)\n",
"ps = prob(rs)\n",
"rs_set = linear_predictor(xs)\n",
"ps_set = prob(rs_set)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n",
"ax.scatter(X, Y, color=c_list[2], label=\"data\")\n",
"ax.plot(xs, ps, color=c_list[3], label=\"estimate\")\n",
"ax.plot(xs, ps_set, color=c_list[1], label=\"setting\")\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"id": "6a7debdf-7c5a-4d24-a8c0-e8915fa8e650",
"metadata": {
"tags": []
},
"source": [
"## 問題設定2: アヤメデータセット(単変量)\n",
"\n",
"分類問題の例"
]
},
{
"cell_type": "markdown",
"id": "c2c7009d-6565-4c92-8cff-8a08f5663f8c",
"metadata": {
"tags": []
},
"source": [
"### データを確認する"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c723ea07-f3b3-4f50-9b39-30663042af93",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>sepal_length</th>\n",
" <th>sepal_width</th>\n",
" <th>petal_length</th>\n",
" <th>petal_width</th>\n",
" <th>species</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>5.1</td>\n",
" <td>3.5</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>4.9</td>\n",
" <td>3.0</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>4.7</td>\n",
" <td>3.2</td>\n",
" <td>1.3</td>\n",
" <td>0.2</td>\n",
" <td>setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4.6</td>\n",
" <td>3.1</td>\n",
" <td>1.5</td>\n",
" <td>0.2</td>\n",
" <td>setosa</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5.0</td>\n",
" <td>3.6</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>setosa</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width species\n",
"0 5.1 3.5 1.4 0.2 setosa\n",
"1 4.9 3.0 1.4 0.2 setosa\n",
"2 4.7 3.2 1.3 0.2 setosa\n",
"3 4.6 3.1 1.5 0.2 setosa\n",
"4 5.0 3.6 1.4 0.2 setosa"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_iris = sns.load_dataset(\"iris\")\n",
"df_iris.head()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e342c5cd-d8af-4d2d-8f12-83a58f192e34",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"target = [\"versicolor\", \"virginica\"]\n",
"df = df_iris[[s in target for s in df_iris.species]]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "753150c7-aae9-4c82-8bdb-65d10ea4a6d9",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1180.75x1000 with 20 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.pairplot(df, hue=\"species\");"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "fd6cfe2d-8b26-45a0-b2c3-1336392b2be0",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Y = [s == \"virginica\" for s in df.species]\n",
"X = df.petal_width.values\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n",
"ax.scatter(X, Y)\n",
"ax.set_xlabel(\"petal_width\");\n",
"ax.set_ylabel(\"virginica\");"
]
},
{
"cell_type": "markdown",
"id": "10bd6268-2b5b-4da9-bf92-1069d2b8b4e5",
"metadata": {},
"source": [
"### モデル設計\n",
"\n",
"1次の線形予測子によるロジスティック回帰モデルを仮定する。\n",
"\n",
"- 目的変数$y_i$: virginicaであるか否か\n",
" - $y_i \\sim \\mathrm{Bern}\\left( y_i | p_i \\right)$\n",
"- $y_i$の生起確率: $p_i = \\mathrm{Sigmoid}(r_i) = \\frac{1}{1 + \\exp(-r_i)}$\n",
"- 線形予測子: $r_i = \\beta_0 + \\beta_1 x$\n",
" - 説明変数$x_i$は1種類(petal_length)\n",
"\n",
"このモデルにおける未知のパラメータは線形予測子の係数($\\beta_0, \\beta_1$)の二つ。"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "43c8af1f-5af5-40d8-8c9b-e8f01934476c",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def linear_predictor(x, b0, b1):\n",
" return (b0 + b1*x)\n",
"\n",
"def prob(r):\n",
" return (1. / (1. + np.exp(-1. * r)))"
]
},
{
"cell_type": "markdown",
"id": "80a5c071-b008-4445-82a6-d50a48d2b7ef",
"metadata": {},
"source": [
"### パラメータ推定(勾配法)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "0f14120d-b148-491e-84ac-5480dced0930",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(b0, b1) = (-19.9, 12.2)\n"
]
}
],
"source": [
"# 初期値\n",
"b0, b1 = 0.0, 1.0\n",
"\n",
"# 学習係数\n",
"alpha = 0.01\n",
"\n",
"epoch = 5000 # 繰り返し回数(epoch数)\n",
"trace = [[b0, b1]]\n",
"for i in range(epoch):\n",
" rs = linear_predictor(X, b0=b0, b1=b1)\n",
" ps = prob(rs)\n",
" b0 = b0 + alpha * np.sum(Y - ps)\n",
" b1 = b1 + alpha * np.sum((Y - ps)*X)\n",
" trace.append([b0, b1])\n",
"trace = np.array(trace)\n",
"\n",
"print(f\"(b0, b1) = ({b0: 2.3}, {b1: 2.3})\")"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "f48a806b-77ce-4e45-85dc-a5b61ba19057",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(10, 3))\n",
"ax.plot(trace[:, 0], label=\"b0\")\n",
"ax.plot(trace[:, 1], label=\"b1\")\n",
"ax.legend();\n",
"ax.set_xlabel(\"epoch\");"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "5563dafc-9fe1-4bdc-ac71-53982cbddb37",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xs = np.linspace(0.8, 2.7, 100)\n",
"rs = linear_predictor(xs, b0=b0, b1=b1)\n",
"ps = prob(rs)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n",
"ax.scatter(X, Y, color=c_list[2], label=\"data\")\n",
"ax.plot(xs, ps, color=c_list[3], label=\"estimate\")\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"id": "a1966058-ee90-4ace-bb38-2871d1abf091",
"metadata": {},
"source": [
"## 問題設定3: アヤメデータセット(多変量)\n"
]
},
{
"cell_type": "markdown",
"id": "8e55a2df-4511-47ea-b995-c159c760a501",
"metadata": {},
"source": [
"### モデル設計\n",
"\n",
"先のデータ確認の図から、単変量でもそこそこの分離ができそうだが、petal_length, petal_widthの二変数を利用するとさらに分離精度が上がりそう。2次の線形予測子によるロジスティック回帰モデルを仮定する。\n",
"\n",
"- 目的変数$y_i$: virginicaであるか否か\n",
" - $y_i \\sim \\mathrm{Bern}\\left( y_i | p_i \\right)$\n",
"- $y_i$の生起確率: $p_i = \\mathrm{Sigmoid}(r_i) = \\frac{1}{1 + \\exp(-r_i)}$\n",
"- 線形予測子: $r_i = \\beta_0 + \\beta_1 x_{1,i} + \\beta_2 x_{2,i}$\n",
" - 説明変数$x_i$は1種類(petal_length)\n",
"\n",
"このモデルにおける未知のパラメータは線形予測子の係数($\\beta_0, \\beta_1, \\beta_2$)の三つ。"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "053df547-c53c-459b-a5a9-8acf61239fd5",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def linear_predictor(x1, x2, b0, b1, b2):\n",
" return (b0 + b1*x1 + b2*x2)\n",
"\n",
"def prob(r):\n",
" return (1. / (1. + np.exp(-1. * r)))"
]
},
{
"cell_type": "markdown",
"id": "37984ca5-9e89-4be2-a070-301e2cf0b74b",
"metadata": {},
"source": [
"### パラメータ推定(勾配法)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "cfe58690-98f4-4a7c-84cb-b01c4a98a56e",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 700x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Y = [int(s == \"virginica\") for s in df.species]\n",
"X1 = df.petal_width.values\n",
"X2 = df.petal_length.values\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(7, 4))\n",
"cs = [c_list[i] for i in Y]\n",
"ax.scatter(X1, X2, color=cs)\n",
"ax.set_xlabel(\"petal_width\");\n",
"ax.set_ylabel(\"petal_length\");"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "04d98a9d-300f-4dd6-ae9f-9c47361c9e44",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(b0, b1, b2) = (-44.3, 10.3, 5.61)\n"
]
}
],
"source": [
"# 初期値\n",
"b0, b1, b2 = 0.0, 1.0, 1.0\n",
"\n",
"# 学習係数\n",
"alpha = 0.01\n",
"\n",
"epoch = 50000 # 繰り返し回数(epoch数)\n",
"trace = [[b0, b1, b2]]\n",
"for i in range(epoch):\n",
" rs = linear_predictor(X1, X2, b0, b1, b2)\n",
" ps = prob(rs)\n",
" b0 = b0 + alpha * np.sum(Y - ps)\n",
" b1 = b1 + alpha * np.sum((Y - ps)*X1)\n",
" b2 = b2 + alpha * np.sum((Y - ps)*X2)\n",
" trace.append([b0, b1, b2])\n",
"trace = np.array(trace)\n",
"\n",
"print(f\"(b0, b1, b2) = ({b0: 2.3}, {b1: 2.3}, {b2: 2.3})\")"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "6cf62e29-b0a8-451e-8bea-733d9f5ed12a",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(10, 3))\n",
"ax.plot(trace[:, 0], label=\"b0\")\n",
"ax.plot(trace[:, 1], label=\"b1\")\n",
"ax.plot(trace[:, 2], label=\"b2\")\n",
"ax.legend();\n",
"ax.set_xlabel(\"epoch\");"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "c854a221-a4a3-41eb-8e61-a4964acb439f",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x1 = np.linspace(0.9, 2.6, 100)\n",
"x2 = np.linspace(2.0, 7.1, 100)\n",
"xx1, xx2 = np.meshgrid(x1, x2)\n",
"\n",
"p_lst = []\n",
"for _xx, _yy in zip(xx1.ravel(), xx2.ravel()):\n",
" r = linear_predictor(_xx, _yy, b0, b1, b2)\n",
" p_lst.append(prob(r))\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.scatter(xx1.ravel(), xx2.ravel(), color=c_list[2], alpha=p_lst)\n",
"ax.scatter(X1, X2, color=cs)\n",
"ax.set_xlabel(\"petal_width\");\n",
"ax.set_ylabel(\"petal_length\");"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "c56adc04-f8c9-4ef1-9d82-c153b8b8f902",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.11.0"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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