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@tok41
Created April 5, 2021 14:42
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 概要\n",
"\n",
"- エンゼルの出現確率は時期によって異なるかもしれない\n",
"- 状態空間モデルを利用して出現確率の推移を予測してみる\n",
"- 前回と状態の繋がりを改良"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import math\n",
"from datetime import datetime as dt\n",
"from scipy import stats\n",
"import itertools\n",
"\n",
"import ChocoUtils as util\n",
"\n",
"import sys\n",
"import os\n",
"\n",
"sys.path.append('..')\n",
"from particle_filter import ParticleFilter\n",
"\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set()\n",
"\n",
"c_list = sns.color_palette().as_hex()\n",
"color_num = len(c_list)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# データの取得\n",
"\n",
"フィルタ条件\n",
"\n",
"- 賞味期限月の記録のないレコードを除外 : 集計を賞味期限月で行うため\n",
"- 金のエンゼル2倍キャンペーン(campaign=1)を除外 : 問題の簡単化のため\n",
"- パイナップル味(taste=10)を除外 : 国内向け商品ではなく、エンゼルキャンペーンの対象外のため"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SELECT measure_date, best_before, prd_number, weight, box_weight, ball_number, factory, shop, angel, campaign, taste, buyer, (weight - box_weight), (weight - box_weight)/ball_number FROM measurement WHERE best_before is not null AND campaign != 1 AND taste != 10;\n",
"Shape of MeasurementData(record_num, n_columns) : (725, 14)\n"
]
}
],
"source": [
"db_file = '../../data/choco-ball.db'\n",
"f_str = 'best_before is not null AND campaign != 1 AND taste != 10'\n",
"df_p = util.get_data(db_file=db_file, filter_str=f_str)\n",
"\n",
"select_col = [\n",
" 'measure_date', \n",
" 'best_before', \n",
" 'taste', \n",
" 'angel', \n",
" 'campaign', \n",
"]\n",
"df = df_p[select_col]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## データの前処理: 銀のエンゼルが出たか否か\n",
"\n",
"angelのフラグを1は1、それ以外は0とする"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"df = df.assign(\n",
" silver=[1 if agl==1 else 0 for agl in df.angel]\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"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>measure_date</th>\n",
" <th>best_before</th>\n",
" <th>taste</th>\n",
" <th>angel</th>\n",
" <th>campaign</th>\n",
" </tr>\n",
" <tr>\n",
" <th>silver</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>693</td>\n",
" <td>693</td>\n",
" <td>693</td>\n",
" <td>693</td>\n",
" <td>693</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>32</td>\n",
" <td>32</td>\n",
" <td>32</td>\n",
" <td>32</td>\n",
" <td>32</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" measure_date best_before taste angel campaign\n",
"silver \n",
"0 693 693 693 693 693\n",
"1 32 32 32 32 32"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.groupby('silver').count()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## データの前処理: 賞味期限月の処理\n",
"\n",
"- 文字列になっているので、dateオブジェクトに変換\n",
"- 月表示に変更\n",
"- index(DatetimeIndexに指定)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"bb = pd.to_datetime(df.best_before)\n",
"df.best_before = bb\n",
"df['bb_ym'] = [x.strftime('%Y/%m') for x in df.best_before]\n",
"df.set_index('best_before', inplace=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 生のデータの確認"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"N = df.resample('M').count()[['silver']]\n",
"N.columns = ['cnt']\n",
"angel = df.resample('M').sum()[['silver']]\n",
"#angel.columns = ['angel']\n",
"df_sum_angel = pd.concat([N, angel], axis=1)\n",
"df_sum_angel = df_sum_angel.assign(\n",
" rate=df_sum_angel.silver/df_sum_angel.cnt\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.Figure(figsize=(10, 4))\n",
"ax = fig.subplots(1,1)\n",
"ax2 = ax.twinx()\n",
"\n",
"ax.plot(df_sum_angel.rate, 'o-', color=c_list[0], label='rate')\n",
"ax2.bar(x=df_sum_angel.index, height=df_sum_angel.cnt, width=15, color=c_list[1], alpha=0.3, label='box num')\n",
"ax.set_ylabel('rate')\n",
"ax2.set_ylabel('box num')\n",
"ax2.legend()\n",
"display(fig)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# エンゼル出現確率の推論"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def sigmoid(z):\n",
" s = 1.0 / (1.0 + np.exp(-1. * z))\n",
" return s"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"def obs_model(y_t, x_t, params=None):\n",
" \"\"\"観測モデル\n",
" 観測モデルは二項分布\n",
" \n",
" Args:\n",
" y_t [np.array([int, int])]: 観測値, [購入数, エンゼル個数]\n",
" theta_t [float]: 確率\n",
" params [dict] : パラメータ. \n",
" Return: \n",
" w [float]: Probably Mass\n",
" \"\"\"\n",
" n_t = y_t[0]\n",
" z = y_t[1]\n",
" theta_t = sigmoid(x_t)\n",
" w = stats.binom(n=n_t, p=theta_t).pmf(z)\n",
" return w#[0]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def system_model(x_pre, params):\n",
" \"\"\"システムモデル\n",
" 確率は変動しないと仮定\n",
" \n",
" Args: \n",
" x_pre [numpy.array] : 前の状態のサンプル(パーティクル)\n",
" params [dict] : \n",
" 'scale' : 正規乱数の標準偏差\n",
" Returns: \n",
" \"\"\"\n",
" scale = params['scale']\n",
" xt = stats.norm(loc=x_pre, scale=scale).rvs()\n",
" return xt"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def initial_particles(loc=0.0, scale=1.0, n=1000):\n",
" \"\"\"パーティクルの初期分布\n",
" 一様分布\n",
" \n",
" Argument:\n",
" loc [float]: 一様乱数の範囲(開始点)\n",
" scale [float]: 一様乱数の範囲(幅)\n",
" n [int]: パーティクル数\n",
" Return:\n",
" [np.array(N, D)]: パーティクル集合\n",
" N: パーティクル数\n",
" D: 状態次元\n",
" \"\"\"\n",
" #X = stats.uniform(loc=loc, scale=scale).rvs(size=n)\n",
" X = stats.norm(loc=loc, scale=scale).rvs(size=n)\n",
" return X[:,np.newaxis]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 初期分布の生成"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"n_particles = 1000"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:ylabel='Count'>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X_ini = initial_particles(n=n_particles, loc=0., scale=1)\n",
"sns.histplot(X_ini)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:ylabel='Count'>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"theta_ini = [sigmoid(x[0]) for x in X_ini]\n",
"sns.histplot(theta_ini)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## パーティクルフィルタによる状態推定"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n_particles : 1000\n"
]
}
],
"source": [
"params = {\n",
" 'scale':0.5, \n",
"}\n",
"\n",
"pf = ParticleFilter(\n",
" init_particles=X_ini, \n",
" system_model=system_model, \n",
" obs_model=obs_model, \n",
" params=params, \n",
")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"obs = np.array([df_sum_angel.cnt, df_sum_angel.silver]).T"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"0it [00:00, ?it/s]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"particle filtering\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"46it [01:39, 2.16s/it]\n"
]
}
],
"source": [
"pf.calc(obs)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(46, 1000)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"particles = pf.hist_particles\n",
"particles.shape"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"particle_thetas = sigmoid(particles)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 推論結果の確認"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.Figure(figsize=(10, 4))\n",
"ax = fig.subplots(1,1)\n",
"ax2 = ax.twinx()\n",
"\n",
"ax.plot(df_sum_angel.rate, 'o-', color=c_list[0], label='rate')\n",
"ax2.bar(x=df_sum_angel.index, height=df_sum_angel.cnt, width=15, color=c_list[1], alpha=0.3, label='box num')\n",
"ax.set_ylabel('rate')\n",
"ax2.set_ylabel('box num')\n",
"ax2.legend()\n",
"\n",
"ax.plot(df_sum_angel.index, np.median(particle_thetas, axis=1), color=c_list[3], lw=3, label='estimated')\n",
"\n",
"display(fig)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"def plot_particles(obs, particles, true_state=None, ax=None):\n",
" if ax is None:\n",
" fig = plt.figure(figsize=(10, 4))\n",
" ax = fig.add_subplot(1, 1, 1)\n",
" ts = [t for t in range(len(obs))]\n",
" ax.plot(ts, obs, c=c_list[0], label='observ')\n",
" if true_state is not None:\n",
" ax.plot(ts, true_state, c=c_list[1], label='true state')\n",
" \n",
" n_particles = particles.shape[1]\n",
" particles_flat = list(itertools.chain.from_iterable(particles))\n",
" particles_t = [np.repeat(t, n_particles) for t in ts]\n",
" particles_t = list(itertools.chain.from_iterable(particles_t))\n",
" particles_mean = [np.median(ps) for ps in particles]\n",
" ax.plot(ts, particles_mean, lw=3, c=c_list[3], label='particle_mean')\n",
" ax.scatter(particles_t, particles_flat, c=c_list[2], alpha=0.01)\n",
" ax.legend()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 0.3)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(10, 5))\n",
"ax = fig.add_subplot(1, 1, 1)\n",
"\n",
"plot_particles(df_sum_angel.rate, particle_thetas, ax=ax)\n",
"ax.set_ylim(0, 0.3)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.03328378362077639"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"particle_thetas[-1].mean()"
]
}
],
"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": "3.6.10"
},
"toc-autonumbering": true
},
"nbformat": 4,
"nbformat_minor": 4
}
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