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@nyk510
Created May 10, 2017 20:43
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日経株価っぽいデータ作成
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{
"cells": [
{
"cell_type": "code",
"execution_count": 694,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import urllib\n",
"import pandas as pd\n",
"import requests\n",
"import csv\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"import matplotlib"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"matplotlib.rc(\"font\", **{\"family\": \"IPAGothic\"})"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"base_url = \"http://k-db.com/indices/I101/1d/\"\n",
"urls = base_url + list_date[0]"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"data = None\n",
"header = None"
]
},
{
"cell_type": "code",
"execution_count": 459,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def download_data(start, end):\n",
" \"\"\"\n",
" 日経平均株価をダウンロード\n",
" \"\"\"\n",
" data = None\n",
" header = None\n",
" base_url = \"http://k-db.com/indices/I101/1d/\"\n",
" urls = [base_url + str(i) for i in range(start, end + 1)]\n",
" for url in urls:\n",
" with requests.Session() as s:\n",
" r = s.get(url, params={\"download\": \"csv\"})\n",
" decoded = r.content.decode(\"shift-jis\")\n",
"\n",
" cr = csv.reader(decoded.splitlines(), delimiter=\",\")\n",
" cr = list(cr)\n",
" if header is None:\n",
" header = cr[0]\n",
"\n",
" if data is None:\n",
" data = cr[1:]\n",
" else:\n",
" data.extend(cr[1:])\n",
" return header, data"
]
},
{
"cell_type": "code",
"execution_count": 773,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"header, data = download_data(2014, 2017)"
]
},
{
"cell_type": "code",
"execution_count": 774,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f16fe561f60>"
]
},
"execution_count": 774,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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cdC/VZFg8uQiAP968IKnrNQ2gfxZjfzCMNxDC4w+Sk+HAYbcxQy9c19wRUFVIFSlhZM5P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\njDENxQXAGGMayv8BZw62PdlSGzIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f16fe22fdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = pd.DataFrame(data, columns=header, dtype=float)\n",
"df[\"日付\"] = pd.to_datetime(df[\"日付\"])\n",
"df = df.sort_values(\"日付\")\n",
"df.index = range(len(df))\n",
"df.plot(x=\"日付\", y=\"終値\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"データに欠損があったと仮定する。欠損はある一定の区間を想定"
]
},
{
"cell_type": "code",
"execution_count": 775,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"start_drop, end_drop = \"2016-10-01\", \"2017-5-11\"\n",
"\n",
"target_col = \"終値\"\n",
"idx_train = (df[\"日付\"] < pd.to_datetime(start_drop)) | (df[\"日付\"] > pd.to_datetime(end_drop))"
]
},
{
"cell_type": "code",
"execution_count": 776,
"metadata": {},
"outputs": [],
"source": [
"start_data = df[\"日付\"].iloc[0] \n",
"df[\"days\"] = (df[\"日付\"] - start_data).astype(int) / 86400000000000"
]
},
{
"cell_type": "code",
"execution_count": 777,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f16ff887c50>"
]
},
"execution_count": 777,
"metadata": {},
"output_type": "execute_result"
},
{
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ZmwMcF0KokkBFn/n0L97AF5B85j/fGuqpDBkCTXdHoAV+A1KaWT4G3Rf2Ey0d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\njMuz0gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f16fe923048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df[idx_train].plot(x=\"日付\", y=target_col, marker=\"o\", markersize=2., linewidth=1.)"
]
},
{
"cell_type": "code",
"execution_count": 778,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import GPy\n",
"from sklearn.preprocessing import Normalizer, StandardScaler"
]
},
{
"cell_type": "code",
"execution_count": 779,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"x_train, y_train = df[idx_train][[\"days\"]].values, df[idx_train][target_col].values\n",
"y_train = y_train.reshape(-1, 1)\n",
"x_test = df[~idx_train][[\"days\"]].values"
]
},
{
"cell_type": "code",
"execution_count": 780,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"scler_y, scler_x = StandardScaler(), StandardScaler()"
]
},
{
"cell_type": "code",
"execution_count": 781,
"metadata": {},
"outputs": [],
"source": [
"y_train_scaled = scler_y.fit_transform(y_train)\n",
"x_train_scaled = scler_x.fit_transform(x_train)\n",
"x_test_scaled = scler_x.transform(x_test)"
]
},
{
"cell_type": "code",
"execution_count": 782,
"metadata": {},
"outputs": [],
"source": [
"input_dim = x_train.shape[1]\n",
"# kernel = GPy.kern.RBF(input_dim, variance=10, lengthscale=10)\n",
"kernel = GPy.kern.PeriodicExponential(input_dim, variance=18, lengthscale=15, period=6.) * GPy.kern.RBF(input_dim, variance=10, lengthscale=15)\n",
"kernel += GPy.kern.Exponential(input_dim, variance=5., lengthscale=.1)\n",
"kernel += GPy.kern.Spline(input_dim)\n",
"# kernel += GPy.kern.Bias(input_dim, variance=1.)"
]
},
{
"cell_type": "code",
"execution_count": 783,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"model = GPy.models.GPRegression(X=x_train_scaled, Y=y_train_scaled, kernel=kernel, noise_var=.01)"
]
},
{
"cell_type": "code",
"execution_count": 784,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f16fe9f6cc0>"
]
},
"execution_count": 784,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" /home/nykergoto/.pyenv/versions/3.6.0/lib/python3.6/site-packages/matplotlib/figure.py:1742: UserWarning:This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n"
]
},
{
"data": {
"image/png": 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I5A9/eIGNGzcyatSoLsdruIQrBlI+7h/5xJf/i3g8jhACwzDJ57K0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\ndT7xljn9ahUCuNlo/6nauX3AQ769giBkwYL5jUC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9ucb3DfOnkp8bbRYnJp5K12uPMn/+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\nAUoIIcSY9P8BF2M3Fk0Y0tYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1704a410b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot()"
]
},
{
"cell_type": "code",
"execution_count": 785,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pred_m, pred_v = model.predict(x_test_scaled)\n",
"pred_m, pred_v = scler_y.inverse_transform(pred_m), scler_y.inverse_transform(pred_v)"
]
},
{
"cell_type": "code",
"execution_count": 786,
"metadata": {},
"outputs": [],
"source": [
"df_test = pd.DataFrame()\n",
"df_test[\"日付\"] = df[\"日付\"][~idx_train]"
]
},
{
"cell_type": "code",
"execution_count": 787,
"metadata": {},
"outputs": [],
"source": [
"df_test[\"pred_mean\"] = pred_m\n",
"df_test[\"pred_std\"] = pred_v ** .5"
]
},
{
"cell_type": "code",
"execution_count": 788,
"metadata": {},
"outputs": [],
"source": [
"df_all = pd.merge(df, df_test, on=\"日付\", how=\"outer\")"
]
},
{
"cell_type": "code",
"execution_count": 789,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f16fff782b0>"
]
},
"execution_count": 789,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CccJQe5q/fnSMX7y639x+ZVcZ50/JbecIRU+xePFisyE8aI7baB555JGI7aSkJN54440O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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f17043c32b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax1 = df_all.plot(x=\"日付\", y=target_col)\n",
"df_all.plot(x=\"日付\", y=\"pred_mean\", ax=ax1)"
]
},
{
"cell_type": "code",
"execution_count": 790,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running L-BFGS-B (Scipy implementation) Code:\n",
" runtime i f |g| \n",
" 03s62 0009 -3.897411e+02 6.792278e-01 \n",
" 09s58 0024 -3.980967e+02 1.094710e+02 \n",
" 12s63 0032 -3.984121e+02 3.026301e-09 \n",
"Runtime: 12s63\n",
"Optimization status: Converged\n",
"\n"
]
}
],
"source": [
"model.optimize(messages=True)"
]
},
{
"cell_type": "code",
"execution_count": 791,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f16ff0f2320>"
]
},
"execution_count": 791,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" /home/nykergoto/.pyenv/versions/3.6.0/lib/python3.6/site-packages/matplotlib/figure.py:1742: UserWarning:This figure includes Axes that are not compatible with tight_layout, so its results might be incorrect.\n"
]
},
{
"data": {
"image/png": 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v66n0CKa0Wq/33d9BYHM4Sckc3u0jDGmBAkhL8XC4MYwAMpRIKc6ApUutKg4N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\nKBSKnEQpKIVCoVDkJEpBKRQKhSIn+f+b4hqA7XrYrwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f16ff457828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot()"
]
},
{
"cell_type": "code",
"execution_count": 792,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<style type=\"text/css\">\n",
".tg {font-family:\"Courier New\", Courier, monospace !important;padding:2px 3px;word-break:normal;border-collapse:collapse;border-spacing:0;border-color:#DCDCDC;margin:0px auto;width:100%;}\n",
".tg td{font-family:\"Courier New\", Courier, monospace !important;font-weight:bold;color:#444;background-color:#F7FDFA;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
".tg th{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;color:#fff;background-color:#26ADE4;border-style:solid;border-width:1px;overflow:hidden;word-break:normal;border-color:#DCDCDC;}\n",
".tg .tg-left{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:left;}\n",
".tg .tg-center{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:center;}\n",
".tg .tg-right{font-family:\"Courier New\", Courier, monospace !important;font-weight:normal;text-align:right;}\n",
"</style>\n",
"<table class=\"tg\"><tr><th><b> sum. </b></th><th><b> value</b></th><th><b>constraints</b></th><th><b>priors</b></th></tr>\n",
"<tr><td class=tg-left> mul.periodic_exponential.variance </td><td class=tg-right>6.27030721133e-06</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> mul.periodic_exponential.lengthscale</td><td class=tg-right> 49.717559215</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> mul.periodic_exponential.period </td><td class=tg-right> 6.31784331169</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> mul.rbf.variance </td><td class=tg-right>4.57683212584e-21</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> mul.rbf.lengthscale </td><td class=tg-right> 15.0291984583</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> Exponential.variance </td><td class=tg-right> 0.888059766265</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> Exponential.lengthscale </td><td class=tg-right> 0.571523838146</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> spline.variance </td><td class=tg-right>2.15866757436e-21</td><td class=tg-center> +ve </td><td class=tg-center> </td></tr>\n",
"<tr><td class=tg-left> spline.c </td><td class=tg-right> -15.5690359445</td><td class=tg-center> </td><td class=tg-center> </td></tr>\n",
"</table>"
],
"text/plain": [
"<GPy.kern.src.add.Add at 0x7f16fe1012e8>"
]
},
"execution_count": 792,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.kern"
]
},
{
"cell_type": "code",
"execution_count": 793,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"sample_0 float64\n",
"sample_1 float64\n",
"sample_2 float64\n",
"日付 datetime64[ns]\n",
"dtype: object"
]
},
"execution_count": 793,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_result.dtypes"
]
},
{
"cell_type": "code",
"execution_count": 807,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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kF3Hp+BTumD6aiUOS+OXMsew/XkXx0VPk7T7qc95jlXWMGZTozYs1OyOVWJeD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\nYRhGjmIOwDAMI0f5f1fjESFzriMwAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f16fdcdf3c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.plot(x=\"日付\", y=target_col, marker=\"o\", markersize=2., linewidth=.5,)\n",
"plt.title(\"日経平均株価 終値(正解データ)\")\n",
"plt.savefig(\"正解.png\", dpi=150)"
]
},
{
"cell_type": "code",
"execution_count": 806,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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5bI+2Yu0aTv/i6oOcPtfA+9tKlYEVokzI6MX2krOMz0h2jOXlF7G08DiXZSRz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hYUVRFEVRFEVRFD+hDpaiKIqiKIqiKEqGUAdLURRFURRFURQlQ6iDpSiKoiiKoiiKkiHUwVIU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I05TkV5OWnpqaUoitIb9FkHyynbevHUUby0cQ/3L9nEo6t3MHxgPjm2g+Uuk5nrFTr8na7Q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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f16fdb43f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sample_size = 3\n",
"samples = model.posterior_samples_f(x_test_scaled, size=sample_size)\n",
"samples = scler_y.inverse_transform(samples)\n",
"\n",
"cols = [\"sample_\" + str(i) for i, x in enumerate(samples.T)]\n",
"df_result = pd.DataFrame(data=samples, columns=cols)\n",
"df_result[\"日付\"] = df[\"日付\"][~idx_train].values\n",
"df_all = pd.merge(df, df_result, on=\"日付\", how=\"outer\").sort_values(\"日付\")\n",
"\n",
"fig = plt.figure(figsize=(12, 10))\n",
"for i, col_i in enumerate(cols):\n",
" ax_i = fig.add_subplot(sample_size, 2, i * 2 + 1)\n",
" df_all[idx_train].plot(x=\"日付\", y=target_col, marker=\"o\",markersize=2., linewidth=.5, ax=ax_i)\n",
" df_all.plot(x=\"日付\", y=col_i, marker=\"o\",markersize=2., linewidth=.5, ax=ax_i)\n",
" \n",
" ax2 = fig.add_subplot(sample_size, 2, i * 2 + 2)\n",
" \n",
" t = df_all[target_col].values\n",
" pred = samples[:, i]\n",
" date = df_all[\"日付\"]\n",
" y = np.hstack([t[date < start_drop], pred, t[date > end_drop]])\n",
" ax2.plot(date, y, marker=\"o\",markersize=2., linewidth=.5)\n",
"fig.tight_layout()\n",
"fig.savefig(\"サンプリング.png\", dpi=150)"
]
},
{
"cell_type": "code",
"execution_count": 800,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f16fecee358>"
]
},
"execution_count": 800,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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7bqAaW1vPbpsDrM1q6wTmOW15bQZKqfuVUouVUouzM1NpNCcLXV1dvPDaFrbs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\nRS1TgiEEy+8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f16fe9c2048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_y = model.posterior_samples_f(scler_x.transform(df[[\"days\"]].values), size=30)\n",
"_y = scler_y.inverse_transform(_y)\n",
"\n",
"fig = plt.figure(figsize=(8,6))\n",
"ax1 = fig.add_subplot(111)\n",
"df.plot(x=\"日付\", y=target_col, ax=ax1, marker=\"o\", markersize=2., linewidth=.5)\n",
"for y in _y.T:\n",
" ax1.plot(df[\"日付\"], y, alpha=.1, color=\"C7\", label=\"samples\")\n",
"ax1.set_title(\"欠損期間: {start_drop} to {end_drop}\".format(**locals()))"
]
}
],
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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