pyFTS/GOOGLE COLAB Yu - WeightedFTS.ipynb

1183 lines
874 KiB
Plaintext
Raw Normal View History

{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Yu%20-%20WeightedFTS.ipynb",
"version": "0.3.2",
"provenance": []
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"[View in Colaboratory](https://colab.research.google.com/github/petroniocandido/pyFTS/blob/master/GOOGLE%20COLAB%20Yu%20-%20WeightedFTS.ipynb)"
]
},
{
"metadata": {
"id": "QBK8YqMs1ALz",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# First Order Conventional Fuzzy Time Series by Chen (1996)\n",
"\n",
"S.-M. Chen, “Forecasting enrollments based on fuzzy time series,” Fuzzy Sets Syst., vol. 81, no. 3, pp. 311319, 1996."
]
},
{
"metadata": {
"id": "hMGqBteu1AL2",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Environment Setup"
]
},
{
"metadata": {
"id": "HPl5HVgG1AL4",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Library install/update"
]
},
{
"metadata": {
"id": "eJN1Uey61AL8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 225
},
"outputId": "df8d7e90-2081-4460-b6ea-796ed1a26ae8"
},
"cell_type": "code",
"source": [
"!pip3 install -U git+https://github.com/petroniocandido/pyFTS\n",
"!pip3 install dill"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting git+https://github.com/petroniocandido/pyFTS\r\n",
" Cloning https://github.com/petroniocandido/pyFTS to /tmp/pip-req-build-sxuh9w5r\n",
"Building wheels for collected packages: pyFTS\n",
" Running setup.py bdist_wheel for pyFTS ... \u001b[?25l-\b \b\\\b \bdone\n",
"\u001b[?25h Stored in directory: /tmp/pip-ephem-wheel-cache-2n9eirnt/wheels/84/d7/1e/a333c7128f25b347640740859808db094c4478e98663cd2297\n",
"Successfully built pyFTS\n",
"Installing collected packages: pyFTS\n",
" Found existing installation: pyFTS 1.2.2\n",
" Uninstalling pyFTS-1.2.2:\n",
" Successfully uninstalled pyFTS-1.2.2\n",
"Successfully installed pyFTS-1.2.2\n",
"Requirement already satisfied: dill in /usr/local/lib/python3.6/dist-packages (0.2.7.1)\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "Mqk64D7t1AMD",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### External libraries import"
]
},
{
"metadata": {
"id": "REQZEal21AMG",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "77d5ea5f-046d-436c-e852-3c9214a3cf84"
},
"cell_type": "code",
"source": [
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pylab as plt\n",
"import seaborn as sns\n",
"\n",
"%pylab inline"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "VFzpB-Cd1AMP",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Common pyFTS imports "
]
},
{
"metadata": {
"id": "DAsPsG6O1AMQ",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "c2eaa62e-a428-4c2b-f3d8-a811f0b508c6"
},
"cell_type": "code",
"source": [
"from pyFTS.common import Util as cUtil\n",
"from pyFTS.benchmarks import benchmarks as bchmk, Util as bUtil\n",
"from pyFTS.partitioners import Util as pUtil\n",
"\n",
"from pyFTS.models import yu\n"
],
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"id": "39I436Wv1AMV",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Common data transformations"
]
},
{
"metadata": {
"id": "AWtnaP2i1AMW",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "5f68f13a-4f5a-4140-dbc0-fd63ad09e963"
},
"cell_type": "code",
"source": [
"from pyFTS.common import Transformations\n",
"\n",
"tdiff = Transformations.Differential(1)\n",
"\n",
"boxcox = Transformations.BoxCox(0)"
],
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"id": "zykmv8gx1AMd",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Datasets"
]
},
{
"metadata": {
"id": "zT9aZIby1AMe",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Data Loading"
]
},
{
"metadata": {
"id": "_dvKkb7B1AMh",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
},
"outputId": "d2d3c7f7-fee7-41d0-b9d9-d6aef3396a41"
},
"cell_type": "code",
"source": [
"from pyFTS.data import TAIEX, NASDAQ, SP500\n",
"\n",
"dataset_names = [\"TAIEX\", \"SP500\",\"NASDAQ\"]\n",
"\n",
"def get_dataset(name):\n",
" if dataset_name == \"TAIEX\":\n",
" return TAIEX.get_data()\n",
" elif dataset_name == \"SP500\":\n",
" return SP500.get_data()[11500:16000]\n",
" elif dataset_name == \"NASDAQ\":\n",
" return NASDAQ.get_data()\n",
"\n",
"\n",
"train_split = 2000\n",
"test_length = 200"
],
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"id": "sKMnAvCW1AMm",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Visualization"
]
},
{
"metadata": {
"id": "dLhQzTOC1AMn",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 335
},
"outputId": "dfe176f5-1c76-4517-d7d3-b9d22cc33efb"
},
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(nrows=2, ncols=3, figsize=[10,5])\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
" dataset_diff = tdiff.apply(dataset)\n",
"\n",
" ax[0][count].plot(dataset)\n",
" ax[1][count].plot(dataset_diff)\n",
" ax[0][count].set_title(dataset_name)"
],
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAE+CAYAAAAnGdyNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzsnXeYVNX5xz/bly1sgaX3dpCOgICA\nYMGusXeNvUSjJpZomiU/o5EYjSWWqLEl9t4VEem9Ixx6b8uyne0zvz/uvbN37tzpszuF83keHmbO\nLXNmdu7c97zl+yY5nU4UCoVCoVAoFNEnOdoTUCgUCoVCoVBoKMNMoVAoFAqFIkZQhplCoVAoFApF\njKAMM4VCoVAoFIoYQRlmCoVCoVAoFDGCMswUCoVCoVAoYoTUaE9AEThCiOeB4/WnfYE9QI3+fIyU\nslIIcRvwf8AZUsq5pmMfBLpJKa8XQkwBvgO2WF9DSjlQCHETcBNwjJSyUT/+NOAFYIiUsrIl3p9C\nEQpCiFHA40BXtMVmCXAPsAvYCkh912RgH3CHlHK5fh18Bewwne5jKeX9Qogk4FHgXMBpjOuvlw+8\nCgwB6oGHpZTvteibVChMCCGcwKtSyutMY1OAB6WUU0xjhcA64DMp5Q2Wc1yKdp1kAWnAauBXUso9\nQoirgeeAnfo2gM+Ah6SUZZbz/B24Fhgupdxp2XYy8ABQBCShXYt/kFKuDOf9JzrKMIsjpJS3GI+F\nENuAK6SUcyy7XQn8EbgKmIt3dkgpB3p5nReFEBegXbSPCiGygX8BNyijTBFL6AbU52jfzS/1sfOA\nT4FJQJP5ey6EuBj4RAjRXx9aZL6RmbgYmAIMQzPMfhJCXCCl/AB4DO36OU8I0Q1YJoSYK6Xc3SJv\nUqGwZ7IQYqSUcrmPfS4DngauE0JkSilrAYQQg4CngLFSym1CiBRgGtqC41T92PlSypP0/fPQvvcz\nhRDjTOdJBc7Uj70CbTGDvu1k4DXgIuM+pV9/3wshjpNSro/Ip5CAqFBmAiGEGIzmQXsZOEUIkRHG\n6a4HfiOEEMDDwA9Syu8iME2FIpK0BzoDC4wBKeVHwHDgsHVnKeW7QBvAdlFi4kLgNSllnZSyHnhT\nHzO2vaCfbxcwEzg7rHehUATP/WjGlS+uAv4HfA/8wjQ+GNgvpdwGIKVsAv6AZsh5IKUs1x0Dlfo5\nDU4BFgJvAJdbDvsL8Gez80C//t5Acx4ovKAMs8TiauAtfTXzA2HcLKSU29Euno+A84G7IjFBhSLC\nHAQWAz8KIa4TQvQGl8HkjVSgTn/cQwjxrRBCCiE+EEJ01ccHAJtNx2wGBgoh2gGFdtsi8F4UioCR\nUr4PJOnRDQ/0hXq9lHIr8BbuBtVctO/+Z0KIc4UQhVLKGinlIT8v+znN6TSg3XPe1L3F+4UQY/TX\nzgbGAF94OccUv2/wCEYZZgmC7oq+AHhfH7JeiFZ6CCHWW/49YdnnfaA38JOUsjzys1YowkNK6QSm\nAh8DdwBbhBBr9XCmG0KIJCHEjWi5ZxuBvWgLjyvQ8sV2o3nGQMu7qTUdXgNk6+MOKWWDzTaForW5\nE/ibECLTZtsv0e4DAHOAAUKIjgBSyj3AMWjXwNNAsRBiuhBimJ/XqwDyAIQQBcAoYIa+zXzPyUPL\nKTtoc479QIH/t3bkonLMEodT0JKft2vRRwDaCCE6SCkP2OzvNcfMxD/RcssuEkJMMBcTKBSxgr5o\neAB4QL/xXA28gxbOTBFCGLksScDPwC+klA60ROS7jfMIIR4CDuqr/WrAfLPLAqr08WQhRLoe4jRv\nUyhaFSnlMiHELOC3wDxjXF+oXw7kCCEe04cz9bF/6MduQCvyQghxFHAf8LUQoruPl+wFGPeTS4Eu\nwCH9npME1AkhfotmfDWipRnstJyjo82YwoTymCUOvwSuklLmG//Q8mBscwb8IYQ4Gzga+D1wO/BK\nmDlrCkXEEUJ0E0JMNJ5LKfdLKf+GVmF2Bnryv/5PSCnP1UM7CCE6mkKXoC1UnWg3lPVAP9O2/sDP\neqinGK0q2m1bS7w/hSIAfg/chmYEGZwMrJZS5pnuB+PRPVpCiJHCtIKXUq7Tz9EFLVTvgW7snYNW\n0Q/aPWeK6Z6TB8xHUwRoAhahVTVbOQuYFfK7PQJQhlkCoJfvn4pW+m/mE3yHM72drxB4HrheSlkv\npfwEreT6gXDnqlBEmO5oVZajjAE9z6UHWu6ZL34BfCSEyNGf34FW5FIHvAfcKITI1rffCLyt7/ce\nWgjJqG6bjFYFqlC0OlLKvWjSFg+ahq9G+/0377ccyBdCDEUz3N4wQpt6dfMVaIsPj/Cj7kV+CSgF\n3tM9bN3REv/NmO85DwF/EkKcZDrPhWjOgsdDea9HCiqUmRhcglbaXGEZn4WWSzbE5pgephCPmavQ\nbjofSikXmMZvA1YJId73U56tULQaUsr5et7Y83pJfwqaVtnFwHY/h7+MluS/QgjRhOb1ukY/7we6\nsbcCzYv2Pynl5/pxvwdeE0JsQstDu05KuT/Cb02hCIYngBvAtVA/C33xYOETNE/XPWjXyo+6JywN\nWKYfZzBev0ekoFUyfwqcIqVsFEL8Ek0bzWk5/+fAs3oxwXdCiCuAJ4UQuWj2xkbgNCnlpoi86wQl\nyem0fq4KhUKhUCgUkUEIcSbwhJRS+N1ZoUKZCoVCoVAoWpQf0MKop0V7IvGA8pgpFAqFQqFoUYQQ\np6PlLldIKYdGez6xjDLMFAqFQqFQKGIElfyvUEQQvdDiU+BJKeWzQoj30Rr4glaGvgD4K5qcw1J9\nvFhKeaGevP4/NHHGKuCyAJS4FQqFQpFAKMNMoYgQekn5M2j5FABIKS80bX8VrRJQ3+TRPPtOYKaU\ncppeafg7/Z9CoVAojhDixjArLq70GXMtKMiitNSjZ3FCkejvMZ7eX1FRbpLNcB1wOjbGlC7mmC+l\nXCSE6OXltCcC1+qPP8e+z5yLeLgm1ByOnDl4uSZalXi4JuxQ8wqOeJlXqNdE3Bhm/khNTYn2FFqc\nRH+P8f7+pJSNQKNJUNvMHWjeNINOQogP0JS2n5NS/hfohKYqD1rbk874oKAgy+9nVlSUG9jkWxA1\nBzWHWCFWf2PUvIIj0eeVMIaZQhGrCCHSgYlSyl/pQyXAn9Ca/uYBi4QQMyyH+V1p+VsxFhXlUlxc\nGfyEI4iaw5EzhyPd6FMoIoUyzBSKlmcyWt84AKSUlcB/9KcHhRBLgIHAHjSvWTlaQ/o9rTxPhUKh\nUEQZJTDbgjQ2Odh3KPbi4IpWZwyw0ngihDheCPEP/XE2MALYgNYc2CgWOB/4ppXnqVB4pbSyjura\nhmhPQ6GIGUor66itb4z4eZVh1oK8+Nlafv/SAjbvLo/2VBStgBBilBBiJloD4TuEEDP1hvCd0XLG\nDGYDhUKI+cCPwKNSyt3A08BoIcRs4HhgWmvOX6HwxV/fXMKLn66N9jQUihaluraB+1+cz9zVe33u\nV9fQxF3PzeUvry+J+BwCCmXaaDN1B95Ea266F7hSSlknhLgcreTfAbwkpXxFCJEGvAb0BJqAa6SU\nW4QQw9FUgJ3AKinlLRF+b2Hx9AerKC6v4aFrjyE5KbRio6VSy+N+5M2lPH/XZDLSYjNhUREZpJRL\ngSk2m35t2a8RzXizHl8FnNMSc1MowmH/ocOUVNRRUlEX7akoFC3K4nUH2F9awytfrmPCUO/1V7uL\nqwHYWxL5qJhfj5mdNhPwMFol2SRgE3Ctvt+fgZPQbk6/0b0FlwFlUsqJwCPAo/o5ngLukFJOAPJi\nqYfWpl3lrNh0kN3F1VTVRMZ1r7xmCoUiXvl0ztZoT0GhaBXe+Fa6HheX1XDtYzO49rEZHrbAZ3Nb\n7poIxGNmp800BbhZf/w5cDcggcVSynIAIcRcYAKaNtMb+r7TgVf1KrXeUsrFpnOcBHwd8juJIJ+a\nPvBQvWVWoi7wo
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1734b77e80>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "PWe9Q5Xx1AMw",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Statistics"
]
},
{
"metadata": {
"id": "N2tpMdIn1AM0",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 143
},
"outputId": "1950c0c9-f99a-4916-ec7e-c6bdede9a552"
},
"cell_type": "code",
"source": [
"from statsmodels.tsa.stattools import adfuller\n",
"\n",
"rows =[]\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" row = [dataset_name]\n",
" dataset = get_dataset(dataset_name)\n",
" result = adfuller(dataset)\n",
" row.extend([result[0],result[1]])\n",
" row.extend([value for key, value in result[4].items()])\n",
" rows.append(row)\n",
" \n",
"pd.DataFrame(rows,columns=['Dataset','ADF Statistic','p-value','Cr. Val. 1%','Cr. Val. 5%','Cr. Val. 10%'])\n"
],
"execution_count": 7,
"outputs": [
{
"output_type": "execute_result",
"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>Dataset</th>\n",
" <th>ADF Statistic</th>\n",
" <th>p-value</th>\n",
" <th>Cr. Val. 1%</th>\n",
" <th>Cr. Val. 5%</th>\n",
" <th>Cr. Val. 10%</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>TAIEX</td>\n",
" <td>-2.656728</td>\n",
" <td>0.081830</td>\n",
" <td>-3.431601</td>\n",
" <td>-2.862093</td>\n",
" <td>-2.567064</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>SP500</td>\n",
" <td>-1.747171</td>\n",
" <td>0.406987</td>\n",
" <td>-3.431811</td>\n",
" <td>-2.862186</td>\n",
" <td>-2.567114</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>NASDAQ</td>\n",
" <td>0.476224</td>\n",
" <td>0.984132</td>\n",
" <td>-3.432022</td>\n",
" <td>-2.862279</td>\n",
" <td>-2.567163</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Dataset ADF Statistic p-value Cr. Val. 1% Cr. Val. 5% Cr. Val. 10%\n",
"0 TAIEX -2.656728 0.081830 -3.431601 -2.862093 -2.567064\n",
"1 SP500 -1.747171 0.406987 -3.431811 -2.862186 -2.567114\n",
"2 NASDAQ 0.476224 0.984132 -3.432022 -2.862279 -2.567163"
]
},
"metadata": {
"tags": []
},
"execution_count": 7
}
]
},
{
"metadata": {
"id": "VleQB0mx1AM9",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Partitioning\n",
"\n",
"The best number of partitions of the Universe of Discourse is an optimization problem. The know more about partitioning schemes please look on the Partitioners notebook. To know more about benchmarking look on the Benchmarks notebook."
]
},
{
"metadata": {
"id": "mZOAHH0U1AM-",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"from pyFTS.partitioners import Grid, Util as pUtil\n",
"from pyFTS.benchmarks import benchmarks as bchmk\n",
"from pyFTS.models import chen\n",
"\n",
"tag = 'partitioning'\n",
"_type = 'point'\n",
"\n",
"for dataset_name in dataset_names:\n",
" dataset = get_dataset(dataset_name)\n",
"\n",
" bchmk.sliding_window_benchmarks(dataset, 1000, train=0.8, inc=0.2,\n",
" methods=[yu.WeightedFTS],\n",
" benchmark_models=False,\n",
" transformations=[None],\n",
" partitions=np.arange(10,100,2), \n",
" progress=False, type=_type,\n",
" file=\"benchmarks.db\", dataset=dataset_name, tag=tag)\n",
"\n",
" bchmk.sliding_window_benchmarks(dataset, 1000, train=0.8, inc=0.2,\n",
" methods=[yu.WeightedFTS],\n",
" benchmark_models=False,\n",
" transformations=[tdiff],\n",
" partitions=np.arange(3,30,1), \n",
" progress=False, type=_type,\n",
" file=\"benchmarks.db\", dataset=dataset_name, tag=tag)\n"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "Ksz8XSvZ1AND",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"from pyFTS.benchmarks import Util as bUtil\n",
"\n",
"df1 = bUtil.get_dataframe_from_bd(\"benchmarks.db\",\n",
" \"tag = 'partitioning' and model = 'WFTS' and measure = 'rmse'and transformation is null\")\n",
"\n",
"df2 = bUtil.get_dataframe_from_bd(\"benchmarks.db\",\n",
" \"tag = 'partitioning' and model = 'WFTS' and measure = 'rmse' and transformation is not null\")\n",
"\n",
"fig, ax = plt.subplots(nrows=2, ncols=1, figsize=[15,7])\n",
"\n",
"g1 = sns.boxplot(x='Partitions', y='Value', hue='Dataset', data=df1, showfliers=False, ax=ax[0], \n",
" palette=\"Set3\")\n",
"box = g1.get_position()\n",
"g1.set_position([box.x0, box.y0, box.width * 0.85, box.height]) \n",
"g1.legend(loc='right', bbox_to_anchor=(1.15, 0.5), ncol=1)\n",
"ax[0].set_title(\"Original data\")\n",
"ax[0].set_ylabel(\"RMSE\")\n",
"ax[0].set_xlabel(\"\")\n",
"\n",
"g2 = sns.boxplot(x='Partitions', y='Value', hue='Dataset', data=df2, showfliers=False, ax=ax[1], \n",
" palette=\"Set3\")\n",
"box = g2.get_position()\n",
"g2.set_position([box.x0, box.y0, box.width * 0.85, box.height]) \n",
"g2.legend(loc='right', bbox_to_anchor=(1.15, 0.5), ncol=1)\n",
"ax[1].set_title(\"Differentiated data\")\n",
"ax[1].set_ylabel(\"RMSE\")\n",
"ax[1].set_xlabel(\"Number of partitions of the UoD\")"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "Z7N-A0s71ANI",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Comparing the partitioning schemas"
]
},
{
"metadata": {
"id": "w8gBLCTE1ANK",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 346
},
"outputId": "3562f763-16b1-4732-c43e-aa24f75a6a53"
},
"cell_type": "code",
"source": [
"from pyFTS.partitioners import Grid, Util as pUtil\n",
"\n",
"fig, ax = plt.subplots(nrows=2, ncols=3, figsize=[20,5])\n",
"\n",
"\n",
"partitioners = {}\n",
"partitioners_diff = {}\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
"\n",
" partitioner = Grid.GridPartitioner(data=dataset, npart=30)\n",
" partitioners[dataset_name] = partitioner\n",
" partitioner_diff = Grid.GridPartitioner(data=dataset, npart=10, transformation=tdiff)\n",
" partitioners_diff[dataset_name] = partitioner_diff\n",
"\n",
" pUtil.plot_sets(dataset, [partitioner.sets], titles=[dataset_name], axis=ax[0][count])\n",
" pUtil.plot_sets(dataset, [partitioner_diff.sets], titles=[''], axis=ax[1][count])"
],
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABH8AAAFJCAYAAAACMIGVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nl47rBX2EcagcQ
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1734b65da0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Pxw6kGst1ANT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Fitting models"
]
},
{
"metadata": {
"id": "ueXXkpq_1ANT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### With original data"
]
},
{
"metadata": {
"id": "-GUFMrq11ANW",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1183
},
"outputId": "c7dcccfc-b5de-467b-d9e9-cee67f9c41ce"
},
"cell_type": "code",
"source": [
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
"\n",
" model1 = yu.WeightedFTS(partitioner=partitioners[dataset_name])\n",
" model1.name=dataset_name\n",
" model1.fit(dataset[:train_split], save_model=True, file_path='model1'+dataset_name, order=1)\n",
"\n",
" print(model1)"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"TAIEX:\n",
"A1 -> A1(0.067),A2(0.133),A2(0.2),A2(0.267),A2(0.333)\n",
"A10 -> A10(0.0),A10(0.0),A10(0.0),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A12(0.013),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.016),A9(0.016),A9(0.016),A9(0.016),A9(0.016)\n",
"A11 -> A10(0.0),A10(0.0),A10(0.0),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A11(0.002),A11(0.002),A11(0.002),A11(0.003),A11(0.003),A11(0.003),A11(0.003),A11(0.003),A11(0.003),A11(0.003),A11(0.003),A11(0.004),A11(0.004),A11(0.004),A11(0.004),A11(0.004),A11(0.004),A11(0.004),A11(0.005),A11(0.005),A11(0.005),A11(0.005),A11(0.005),A11(0.005),A11(0.005),A11(0.005),A11(0.006),A11(0.006),A11(0.006),A11(0.006),A11(0.006),A11(0.006),A11(0.006),A11(0.006),A11(0.007),A11(0.007),A11(0.007),A11(0.007),A11(0.007),A11(0.007),A11(0.007),A11(0.007),A11(0.008),A11(0.008),A11(0.008),A11(0.008),A11(0.008),A11(0.008),A11(0.008),A11(0.009),A11(0.009),A11(0.009),A11(0.009),A11(0.009),A11(0.009),A11(0.009),A11(0.009),A11(0.01),A11(0.01),A11(0.01),A11(0.01),A11(0.01),A11(0.01),A11(0.01),A11(0.01),A11(0.011),A11(0.011),A11(0.011),A11(0.011),A11(0.011),A11(0.011),A11(0.011),A11(0.011),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.014),A11(0.014),A11(0.014),A11(0.014),A11(0.014),A11(0.014),A11(0.014),A11(0.014),A11(0.015),A12(0.015),A12(0.015),A12(0.015),A12(0.015),A12(0.015),A12(0.015),A12(0.015),A12(0.016),A12(0.016),A12(0.016),A12(0.016)\n",
"A12 -> A11(0.0),A11(0.0),A11(0.0),A11(0.0),A11(0.0),A11(0.001),A11(0.001),A11(0.001),A11(0.001),A11(0.001),A11(0.001),A11(0.001),A11(0.001),A12(0.001),A12(0.001),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.003),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.004),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.005),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.006),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.007),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.008),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.009),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.01),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.011),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.012),A12(0.013),A12(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.014),A13(0.014),A13(0.014),A13(0.014),A13(0.014)\n",
"A13 -> A12(0.0),A12(0.0),A12(0.001),A12(0.001),A12(0.001),A12(0.001),A12(0.001),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.002),A12(0.003),A12(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.012),A13(0.012),A13(0.012),A13(0.012),A13(0.012),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.013),A13(0.014),A13(0.014),A13(0.014),A13(0.014),A13(0.014),A13(0.015),A13(0.015),A13(0.015),A13(0.015),A13(0.015),A13(0.016),A13(0.016),A13(0.016),A13(0.016),A13(0.016),A13(0.017),A13(0.017),A13(0.017),A13(0.017),A13(0.017),A13(0.018),A13(0.018),A13(0.018),A13(0.018),A13(0.018),A13(0.019),A13(0.019),A14(0.019),A14(0.019),A14(0.019),A14(0.02),A14(0.02),A14(0.02)\n",
"A14 -> A13(0.0),A13(0.0),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.015),A14(0.015),A14(0.015),A14(0.015),A14(0.015),A14(0.016),A14(0.016),A14(0.016),A14(0.016),A14(0.016),A14(0.017),A14(0.017),A14(0.017),A14(0.017),A14(0.017),A14(0.018),A14(0.018),A14(0.018),A14(0.018),A14(0.018),A15(0.019),A15(0.019),A15(0.019),A15(0.019),A15(0.019),A15(0.02),A15(0.02)\n",
"A15 -> A14(0.0),A14(0.001),A14(0.001),A14(0.002),A14(0.002),A14(0.002),A14(0.003),A14(0.003),A15(0.004),A15(0.004),A15(0.004),A15(0.005),A15(0.005),A15(0.006),A15(0.006),A15(0.006),A15(0.007),A15(0.007),A15(0.008),A15(0.008),A15(0.008),A15(0.009),A15(0.009),A15(0.01),A15(0.01),A15(0.01),A15(0.011),A15(0.011),A15(0.012),A15(0.012),A15(0.012),A15(0.013),A15(0.013),A15(0.014),A15(0.014),A15(0.014),A15(0.015),A15(0.015),A15(0.016),A15(0.016),A15(0.016),A15(0.017),A15(0.017),A15(0.018),A15(0.018),A15(0.019),A15(0.019),A15(0.019),A15(0.02),A15(0.02),A15(0.021),A15(0.021),A15(0.021),A15(0.022),A15(0.022),A15(0.023),A15(0.023),A15(0.023),A15(0.024),A15(0.024),A16(0.025),A16(0.025),A16(0.025),A16(0.026),A16(0.026),A16(0.027),A16(0.027),A16(0.027),A16(0.028),A16(0.028)\n",
"A16 -> A15(0.0),A15(0.001),A15(0.001),A15(0.001),A15(0.002),A15(0.002),A15(0.002),A15(0.002),A15(0.003),A16(0.003),A16(0.003),A16(0.004),A16(0.004),A16(0.004),A16(0.005),A16(0.005),A16(0.005),A16(0.006),A16(0.006),A16(0.006),A16(0.006),A16(0.007),A16(0.007),A16(0.007),A16(0.008),A16(0.008),A16(0.008),A16(0.009),A16(0.009),A16(0.009),A16(0.01),A16(0.01),A16(0.01),A16(0.01),A16(0.011),A16(0.011),A16(0.011),A16(0.012),A16(0.012),A16(0.012),A16(0.013),A16(0.013),A16(0.013),A16(0.014),A16(0.014),A16(0.014),A16(0.015),A16(0.015),A16(0.015),A16(0.015),A16(0.016),A16(0.016),A16(0.016),A16(0.017),A16(0.017),A16(0.017),A16(0.018),A17(0.018),A17(0.018),A17(0.019),A17(0.019),A17(0.019),A17(0.019),A17(0.02),A17(0.02),A17(0.02),A17(0.021),A17(0.021),A17(0.021),A17(0.022),A17(0.022),A17(0.022),A17(0.023),A17(0.023),A17(0.023),A17(0.023),A17(0.024),A17(0.024),A17(0.024),A18(0.025)\n",
"A17 -> A15(0.0),A16(0.0),A16(0.0),A16(0.0),A16(0.001),A16(0.001),A16(0.001),A16(0.001),A16(0.001),A16(0.001),A16(0.001),A16(0.001),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A16(0.003),A16(0.003),A17(0.003),A17(0.003),A17(0.003),A17(0.003),A17(0.003),A17(0.003),A17(0.004),A17(0.004),A17(0.004),A17(0.004),A17(0.004),A17(0.004),A17(0.004),A17(0.004),A17(0.005),A17(0.005),A17(0.005),A17(0.005),A17(0.005),A17(0.005),A17(0.005),A17(0.005),A17(0.006),A17(0.006),A17(0.006),A17(0.006),A17(0.006),A17(0.006),A17(0.006),A17(0.006),A17(0.007),A17(0.007),A17(0.007),A17(0.007),A17(0.007),A17(0.007),A17(0.007),A17(0.007),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.009),A17(0.009),A17(0.009),A17(0.009),A17(0.009),A17(0.009),A17(0.009),A17(0.009),A17(0.01),A17(0.01),A17(0.01),A17(0.01),A17(0.01),A17(0.01),A17(0.01),A17(0.01),A17(0.011),A17(0.011),A17(0.011),A17(0.011),A17(0.011),A17(0.011),A17(0.011),A17(0.011),A17(0.012),A17(0.012),A17(0.012),A17(0.012),A17(0.012),A17(0.012),A17(0.012),A17(0.012),A17(0.013),A17(0.013),A17(0.013),A17(0.013),A17(0.013),A17(0.013),A17(0.013),A17(0.013),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.015),A18(0.015),A18(0.015),A18(0.015),A18(0.015),A18(0.015),A18(0.015),A18(0.015),A18(0.016),A18(0.016)\n",
"A18 -> A16(0.0),A17(0.0),A17(0.0),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A17(0.002),A17(0.002),A17(0.002),A17(0.002),A17(0.002),A17(0.002),A17(0.002),A17(0.003),A17(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A18(0.014),A19(0.014),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.017),A19(0.017),A19(0.017),A19(0.017)\n",
"A19 -> A18(0.0),A18(0.0),A18(0.001),A18(0.001),A18(0.001),A18(0.001),A18(0.001),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A19(0.004),A19(0.004),A19(0.004),A19(0.004),A19(0.004),A19(0.005),A19(0.005),A19(0.005),A19(0.005),A19(0.005),A19(0.006),A19(0.006),A19(0.006),A19(0.006),A19(0.006),A19(0.006),A19(0.007),A19(0.007),A19(0.007),A19(0.007),A19(0.007),A19(0.008),A19(0.008),A19(0.008),A19(0.008),A19(0.008),A19(0.009),A19(0.009),A19(0.009),A19(0.009),A19(0.009),A19(0.01),A19(0.01),A19(0.01),A19(0.01),A19(0.01),A19(0.01),A19(0.011),A19(0.011),A19(0.011),A19(0.011),A19(0.011),A19(0.012),A19(0.012),A19(0.012),A19(0.012),A19(0.012),A19(0.013),A19(0.013),A19(0.013),A19(0.013),A19(0.013),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.017),A19(0.017),A20(0.017),A20(0.017),A20(0.017),A20(0.018),A20(0.018),A20(0.018),A20(0.018),A20(0.018),A20(0.018),A20(0.019),A20(0.019),A20(0.019),A20(0.019),A20(0.019)\n",
"A2 -> A1(0.011),A1(0.022),A1(0.033),A1(0.044),A2(0.055),A2(0.066),A2(0.077),A2(0.088),A2(0.099),A2(0.11),A3(0.121),A3(0.132),A3(0.143)\n",
"A20 -> A19(0.0),A19(0.001),A19(0.001),A19(0.001),A19(0.002),A19(0.002),A19(0.002),A19(0.002),A19(0.003),A19(0.003),A19(0.003),A19(0.004),A19(0.004),A19(0.004),A20(0.005),A20(0.005),A20(0.005),A20(0.006),A20(0.006),A20(0.006),A20(0.006),A20(0.007),A20(0.007),A20(0.007),A20(0.008),A20(0.008),A20(0.008),A20(0.009),A20(0.009),A20(0.009),A20(0.01),A20(0.01),A20(0.01),A20(0.01),A20(0.011),A20(0.011),A20(0.011),A20(0.012),A20(0.012),A20(0.012),A20(0.013),A20(0.013),A20(0.013),A20(0.014),A20(0.014),A20(0.014),A20(0.015),A20(0.015),A20(0.015),A20(0.015),A20(0.016),A20(0.016),A20(0.016),A20(0.017),A20(0.017),A20(0.017),A20(0.018),A20(0.018),A20(0.018),A20(0.019),A20(0.019),A20(0.019),A20(0.019),A20(0.02),A20(0.02),A20(0.02),A20(0.021),A20(0.021),A20(0.021),A21(0.022),A21(0.022),A21(0.022),A21(0.023),A21(0.023),A21(0.023),A21(0.023),A21(0.024),A21(0.024),A21(0.024),A22(0.025)\n",
"A21 -> A20(0.001),A20(0.001),A20(0.002),A20(0.002),A20(0.003),A20(0.003),A20(0.004),A20(0.004),A20(0.005),A20(0.005),A20(0.006),A21(0.006),A21(0.007),A21(0.007),A21(0.008),A21(0.008),A21(0.009),A21(0.01),A21(0.01),A21(0.011),A21(0.011),A21(0.012),A21(0.012),A21(0.013),A21(0.013),A21(0.014),A21(0.014),A21(0.015),A21(0.015),A21(0.016),A21(0.016),A21(0.017),A21(0.017),A21(0.018),A21(0.019),A21(0.019),A21(0.02),A21(0.02),A21(0.021),A21(0.021),A21(0.022),A21(0.022),A21(0.023),A21(0.023),A21(0.024),A21(0.024),A21(0.025),A21(0.025),A21(0.026),A21(0.026),A22(0.027),A22(0.027),A22(0.028),A22(0.029),A22(0.029),A22(0.03),A22(0.03),A22(0.031),A22(0.031),A22(0.032),A23(0.032)\n",
"A22 -> A21(0.0),A21(0.001),A21(0.001),A21(0.002),A21(0.002),A21(0.003),A21(0.003),A21(0.004),A21(0.004),A21(0.005),A21(0.005),A22(0.006),A22(0.006),A22(0.007),A22(0.007),A22(0.008),A22(0.008),A22(0.009),A22(0.009),A22(0.01),A22(0.01),A22(0.011),A22(0.011),A22(0.012),A22(0.012),A22(0.013),A22(0.013),A22(0.014),A22(0.014),A22(0.015),A22(0.015),A22(0.016),A22(0.016),A22(0.017),A22(0.017),A22(0.018),A22(0.018),A22(0.019),A22(0.019),A22(0.02),A22(0.02),A22(0.021),A22(0.021),A22(0.022),A22(0.022),A22(0.023),A22(0.023),A22(0.024),A22(0.024),A22(0.025),A22(0.025),A22(0.026),A22(0.026),A22(0.027),A22(0.027),A22(0.028),A23(0.028),A23(0.029),A23(0.029),A23(0.03),A23(0.03),A23(0.031),A23(0.031)\n",
"A23 -> A22(0.002),A22(0.005),A22(0.007),A22(0.009),A22(0.011),A22(0.014),A23(0.016),A23(0.018),A23(0.021),A23(0.023),A23(0.025),A23(0.028),A23(0.03),A23(0.032),A23(0.034),A23(0.037),A23(0.039),A23(0.041),A23(0.044),A23(0.046),A23(0.048),A23(0.051),A23(0.053),A23(0.055),A23(0.057),A24(0.06),A24(0.062),A24(0.064),A24(0.067)\n",
"A24 -> A21(0.002),A22(0.004),A23(0.006),A23(0.009),A24(0.011),A24(0.013),A24(0.015),A24(0.017),A24(0.019),A24(0.022),A24(0.024),A24(0.026),A24(0.028),A24(0.03),A24(0.032),A24(0.034),A24(0.037),A24(0.039),A24(0.041),A24(0.043),A24(0.045),A24(0.047),A24(0.049),A24(0.052),A24(0.054),A25(0.056),A25(0.058),A25(0.06),A25(0.062),A25(0.065)\n",
"A25 -> A24(0.003),A24(0.006),A24(0.009),A24(0.011),A25(0.014),A25(0.017),A25(0.02),A25(0.023),A25(0.026),A25(0.028),A25(0.031),A25(0.034),A25(0.037),A25(0.04),A25(0.043),A25(0.046),A25(0.048),A25(0.051),A26(0.054),A26(0.057),A26(0.06),A26(0.063),A26(0.066),A26(0.068),A26(0.071),A26(0.074)\n",
"A26 -> A24(0.008),A25(0.017),A25(0.025),A25(0.033),A25(0.042),A25(0.05),A25(0.058),A25(0.067),A26(0.075),A26(0.083),A26(0.092),A26(0.1),A26(0.108),A26(0.117),A26(0.125)\n",
"A3 -> A2(0.007),A2(0.013),A2(0.02),A3(0.026),A3(0.033),A3(0.039),A3(0.046),A3(0.052),A3(0.059),A3(0.065),A3(0.072),A3(0.078),A3(0.085),A3(0.092),A3(0.098),A4(0.105),A4(0.111)\n",
"A4 -> A3(0.004),A3(0.009),A4(0.013),A4(0.017),A4(0.022),A4(0.026),A4(0.03),A4(0.035),A4(0.039),A4(0.043),A4(0.048),A4(0.052),A4(0.056),A4(0.061),A4(0.065),A4(0.069),A4(0.074),A4(0.078),A5(0.082),A5(0.087),A5(0.091)\n",
"A5 -> A4(0.0),A4(0.001),A4(0.001),A4(0.002),A5(0.002),A5(0.003),A5(0.003),A5(0.004),A5(0.004),A5(0.005),A5(0.005),A5(0.006),A5(0.006),A5(0.007),A5(0.007),A5(0.008),A5(0.008),A5(0.009),A5(0.009),A5(0.01),A5(0.01),A5(0.011),A5(0.011),A5(0.012),A5(0.012),A5(0.013),A5(0.013),A5(0.014),A5(0.014),A5(0.015),A5(0.015),A5(0.016),A5(0.016),A5(0.017),A5(0.017),A5(0.018),A5(0.018),A5(0.019),A5(0.019),A5(0.02),A5(0.02),A5(0.021),A5(0.021),A5(0.022),A5(0.022),A5(0.023),A5(0.023),A5(0.024),A5(0.024),A5(0.025),A5(0.025),A5(0.026),A5(0.026),A5(0.027),A6(0.027),A6(0.028),A6(0.028),A6(0.029),A6(0.029),A6(0.03),A6(0.03),A6(0.031),A6(0.031)\n",
"A6 -> A5(0.0),A5(0.0),A5(0.0),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A6(0.001),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.008),A6(0.008),A6(0.008),A6(0.008),A6(0.008),A6(0.008),A6(0.008),A6(0.009),A6(0.009),A6(0.009),A6(0.009),A6(0.009),A6(0.009),A6(0.009),A6(0.009),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.012),A6(0.012),A6(0.012),A6(0.012),A6(0.012),A6(0.012),A6(0.012),A6(0.013),A6(0.013),A6(0.013),A6(0.013),A6(0.013),A6(0.013),A6(0.013),A6(0.013),A6(0.014),A6(0.014),A6(0.014),A6(0.014),A6(0.014),A6(0.014),A6(0.014),A6(0.014),A6(0.015),A7(0.015),A7(0.015),A7(0.015),A7(0.015),A7(0.015),A7(0.015),A7(0.015),A7(0.016),A7(0.016),A7(0.016),A7(0.016)\n",
"A7 -> A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.007),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.008),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.009),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.01),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.011),A7(0.012),A7(0.012),A7(0.012),A7(0.012),A7(0.012),A7(0.012),A7(0.012),A8(0.012),A8(0.012),A8(0.012),A8(0.012),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013)\n",
"A8 -> A6(0.0),A7(0.0),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A8(0.003),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.008),A8(0.008),A8(0.008),A8(0.008),A8(0.008),A8(0.009),A8(0.009),A8(0.009),A8(0.009),A8(0.009),A8(0.01),A8(0.01),A8(0.01),A8(0.01),A8(0.011),A8(0.011),A8(0.011),A8(0.011),A8(0.011),A8(0.012),A8(0.012),A8(0.012),A8(0.012),A8(0.012),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.014),A8(0.014),A8(0.014),A8(0.014),A8(0.014),A8(0.015),A8(0.015),A8(0.015),A8(0.015),A8(0.015),A8(0.016),A8(0.016),A8(0.016),A8(0.016),A8(0.017),A8(0.017),A8(0.017),A8(0.017),A8(0.017),A9(0.018),A9(0.018),A9(0.018),A9(0.018),A9(0.018),A9(0.019),A9(0.019),A9(0.019),A9(0.019),A9(0.02),A9(0.02),A9(0.02),A9(0.02),A9(0.02),A9(0.021)\n",
"A9 -> A10(0.0),A10(0.0),A10(0.0),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.003),A10(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.005),A8(0.005),A8(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.013),A9(0.013),A9(0.013),A9(0.013),A9(0.013),A9(0.013),A9(0.013),A9(0.013),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.015),A9(0.016),A9(0.016),A9(0.016),A9(0.016),A9(0.016),A9(0.016)\n",
"\n",
"SP500:\n",
"A1 -> A1(0.002),A1(0.005),A1(0.007),A1(0.01),A1(0.012),A1(0.015),A1(0.017),A1(0.02),A1(0.022),A1(0.025),A1(0.027),A1(0.03),A1(0.032),A1(0.034),A1(0.037),A1(0.039),A1(0.042),A1(0.044),A1(0.047),A1(0.049),A1(0.052),A1(0.054),A1(0.057),A1(0.059),A1(0.062),A1(0.064),A2(0.067),A2(0.069)\n",
"A10 -> A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.012),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A9(0.013),A9(0.013),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014)\n",
"A11 -> A10(0.0),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.002),A10(0.003),A10(0.003),A10(0.003),A10(0.004),A10(0.004),A10(0.005),A11(0.005),A11(0.005),A11(0.006),A11(0.006),A11(0.006),A11(0.007),A11(0.007),A11(0.008),A11(0.008),A11(0.008),A11(0.009),A11(0.009),A11(0.01),A11(0.01),A11(0.01),A11(0.011),A11(0.011),A11(0.011),A11(0.012),A11(0.012),A11(0.013),A11(0.013),A11(0.013),A11(0.014),A11(0.014),A11(0.014),A11(0.015),A11(0.015),A11(0.016),A11(0.016),A11(0.016),A11(0.017),A11(0.017),A11(0.018),A11(0.018),A11(0.018),A11(0.019),A11(0.019),A11(0.019),A11(0.02),A11(0.02),A11(0.021),A11(0.021),A11(0.021),A11(0.022),A11(0.022),A11(0.022),A11(0.023),A11(0.023),A11(0.024),A11(0.024),A11(0.024),A11(0.025),A11(0.025),A11(0.025),A12(0.026),A12(0.026),A12(0.027),A12(0.027),A12(0.027)\n",
"A12 -> A11(0.0),A11(0.001),A11(0.001),A11(0.001),A11(0.002),A12(0.002),A12(0.003),A12(0.003),A12(0.003),A12(0.004),A12(0.004),A12(0.004),A12(0.005),A12(0.005),A12(0.005),A12(0.006),A12(0.006),A12(0.006),A12(0.007),A12(0.007),A12(0.008),A12(0.008),A12(0.008),A12(0.009),A12(0.009),A12(0.009),A12(0.01),A12(0.01),A12(0.01),A12(0.011),A12(0.011),A12(0.012),A12(0.012),A12(0.012),A12(0.013),A12(0.013),A12(0.013),A12(0.014),A12(0.014),A12(0.014),A12(0.015),A12(0.015),A12(0.015),A12(0.016),A12(0.016),A12(0.017),A12(0.017),A12(0.017),A12(0.018),A12(0.018),A12(0.018),A12(0.019),A12(0.019),A12(0.019),A12(0.02),A12(0.02),A12(0.021),A12(0.021),A12(0.021),A12(0.022),A13(0.022),A13(0.022),A13(0.023),A13(0.023),A13(0.023),A13(0.024),A13(0.024),A13(0.025),A13(0.025),A13(0.025),A13(0.026),A13(0.026),A13(0.026),A13(0.027)\n",
"A13 -> A12(0.0),A12(0.0),A12(0.0),A12(0.0),A12(0.0),A12(0.0),A12(0.0),A12(0.001),A12(0.001),A12(0.001),A12(0.001),A12(0.001),A12(0.001),A12(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.002),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.003),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.004),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.005),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.006),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.007),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.008),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.009),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.01),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A13(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012)\n",
"A14 -> A13(0.0),A13(0.0),A13(0.0),A13(0.0),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A13(0.001),A14(0.001),A14(0.001),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.002),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.003),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.004),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.005),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.006),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.007),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.008),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.009),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.01),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.011),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.012),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.013),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.014),A14(0.015),A15(0.015),A15(0.015),A15(0.015),A15(0.015),A15(0.015),A15(0.015)\n",
"A15 -> A14(0.0),A14(0.001),A14(0.001),A14(0.002),A14(0.002),A14(0.003),A15(0.003),A15(0.004),A15(0.004),A15(0.005),A15(0.005),A15(0.006),A15(0.006),A15(0.007),A15(0.007),A15(0.008),A15(0.008),A15(0.009),A15(0.009),A15(0.01),A15(0.01),A15(0.011),A15(0.011),A15(0.012),A15(0.012),A15(0.013),A15(0.013),A15(0.014),A15(0.014),A15(0.015),A15(0.015),A15(0.016),A15(0.016),A15(0.017),A15(0.017),A15(0.018),A15(0.018),A15(0.019),A15(0.019),A15(0.02),A15(0.02),A15(0.021),A15(0.021),A15(0.022),A15(0.022),A15(0.023),A15(0.023),A15(0.024),A15(0.024),A15(0.025),A15(0.025),A15(0.026),A15(0.026),A15(0.027),A15(0.027),A15(0.028),A15(0.028),A16(0.029),A16(0.029),A16(0.03),A16(0.03),A16(0.031),A16(0.031)\n",
"A16 -> A15(0.0),A15(0.0),A15(0.001),A15(0.001),A15(0.001),A15(0.001),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A16(0.003),A16(0.003),A16(0.003),A16(0.003),A16(0.004),A16(0.004),A16(0.004),A16(0.004),A16(0.005),A16(0.005),A16(0.005),A16(0.005),A16(0.006),A16(0.006),A16(0.006),A16(0.006),A16(0.007),A16(0.007),A16(0.007),A16(0.007),A16(0.008),A16(0.008),A16(0.008),A16(0.008),A16(0.009),A16(0.009),A16(0.009),A16(0.009),A16(0.01),A16(0.01),A16(0.01),A16(0.01),A16(0.011),A16(0.011),A16(0.011),A16(0.011),A16(0.012),A16(0.012),A16(0.012),A16(0.012),A16(0.013),A16(0.013),A16(0.013),A16(0.013),A16(0.014),A16(0.014),A16(0.014),A16(0.014),A16(0.015),A16(0.015),A16(0.015),A16(0.015),A16(0.016),A16(0.016),A16(0.016),A16(0.016),A16(0.017),A16(0.017),A16(0.017),A16(0.017),A16(0.018),A16(0.018),A16(0.018),A16(0.018),A16(0.019),A16(0.019),A16(0.019),A16(0.019),A16(0.02),A16(0.02),A17(0.02),A17(0.02),A17(0.021),A17(0.021),A17(0.021),A17(0.021),A17(0.022),A17(0.022),A17(0.022)\n",
"A17 -> A16(0.0),A16(0.001),A16(0.001),A16(0.001),A16(0.001),A16(0.002),A16(0.002),A16(0.002),A16(0.002),A17(0.003),A17(0.003),A17(0.003),A17(0.004),A17(0.004),A17(0.004),A17(0.004),A17(0.005),A17(0.005),A17(0.005),A17(0.005),A17(0.006),A17(0.006),A17(0.006),A17(0.007),A17(0.007),A17(0.007),A17(0.007),A17(0.008),A17(0.008),A17(0.008),A17(0.008),A17(0.009),A17(0.009),A17(0.009),A17(0.01),A17(0.01),A17(0.01),A17(0.01),A17(0.011),A17(0.011),A17(0.011),A17(0.011),A17(0.012),A17(0.012),A17(0.012),A17(0.013),A17(0.013),A17(0.013),A17(0.013),A17(0.014),A17(0.014),A17(0.014),A17(0.015),A17(0.015),A17(0.015),A17(0.015),A17(0.016),A17(0.016),A17(0.016),A17(0.016),A17(0.017),A17(0.017),A17(0.017),A17(0.018),A17(0.018),A17(0.018),A17(0.018),A17(0.019),A17(0.019),A17(0.019),A17(0.019),A17(0.02),A17(0.02),A17(0.02),A17(0.021),A18(0.021),A18(0.021),A18(0.021),A18(0.022),A18(0.022),A18(0.022),A18(0.022),A18(0.023),A18(0.023),A18(0.023)\n",
"A18 -> A17(0.0),A17(0.0),A17(0.0),A17(0.0),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A17(0.001),A18(0.001),A18(0.001),A18(0.001),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.004),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.005),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.006),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.007),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.008),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.009),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.01),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.011),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.012),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A18(0.013),A19(0.013),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.015)\n",
"A19 -> A18(0.0),A18(0.0),A18(0.001),A18(0.001),A18(0.001),A18(0.001),A18(0.001),A18(0.002),A18(0.002),A18(0.002),A18(0.002),A18(0.003),A18(0.003),A18(0.003),A18(0.003),A19(0.003),A19(0.004),A19(0.004),A19(0.004),A19(0.004),A19(0.004),A19(0.005),A19(0.005),A19(0.005),A19(0.005),A19(0.005),A19(0.006),A19(0.006),A19(0.006),A19(0.006),A19(0.007),A19(0.007),A19(0.007),A19(0.007),A19(0.007),A19(0.008),A19(0.008),A19(0.008),A19(0.008),A19(0.008),A19(0.009),A19(0.009),A19(0.009),A19(0.009),A19(0.009),A19(0.01),A19(0.01),A19(0.01),A19(0.01),A19(0.011),A19(0.011),A19(0.011),A19(0.011),A19(0.011),A19(0.012),A19(0.012),A19(0.012),A19(0.012),A19(0.012),A19(0.013),A19(0.013),A19(0.013),A19(0.013),A19(0.013),A19(0.014),A19(0.014),A19(0.014),A19(0.014),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.015),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.016),A19(0.017),A19(0.017),A19(0.017),A19(0.017),A19(0.017),A19(0.018),A19(0.018),A19(0.018),A19(0.018),A20(0.019),A20(0.019),A20(0.019),A20(0.019),A20(0.019),A20(0.02),A20(0.02),A20(0.02),A20(0.02),A20(0.02)\n",
"A2 -> A1(0.0),A2(0.001),A2(0.001),A2(0.002),A2(0.002),A2(0.002),A2(0.003),A2(0.003),A2(0.004),A2(0.004),A2(0.004),A2(0.005),A2(0.005),A2(0.006),A2(0.006),A2(0.006),A2(0.007),A2(0.007),A2(0.008),A2(0.008),A2(0.008),A2(0.009),A2(0.009),A2(0.01),A2(0.01),A2(0.01),A2(0.011),A2(0.011),A2(0.012),A2(0.012),A2(0.012),A2(0.013),A2(0.013),A2(0.014),A2(0.014),A2(0.014),A2(0.015),A2(0.015),A2(0.016),A2(0.016),A2(0.016),A2(0.017),A2(0.017),A2(0.018),A2(0.018),A2(0.019),A2(0.019),A2(0.019),A2(0.02),A2(0.02),A2(0.021),A2(0.021),A2(0.021),A2(0.022),A2(0.022),A2(0.023),A2(0.023),A2(0.023),A2(0.024),A2(0.024),A2(0.025),A2(0.025),A2(0.025),A2(0.026),A2(0.026),A2(0.027),A3(0.027),A3(0.027),A3(0.028),A3(0.028)\n",
"A20 -> A19(0.0),A19(0.001),A19(0.001),A19(0.001),A19(0.001),A19(0.002),A19(0.002),A19(0.002),A19(0.002),A20(0.003),A20(0.003),A20(0.003),A20(0.003),A20(0.004),A20(0.004),A20(0.004),A20(0.005),A20(0.005),A20(0.005),A20(0.005),A20(0.006),A20(0.006),A20(0.006),A20(0.006),A20(0.007),A20(0.007),A20(0.007),A20(0.007),A20(0.008),A20(0.008),A20(0.008),A20(0.009),A20(0.009),A20(0.009),A20(0.009),A20(0.01),A20(0.01),A20(0.01),A20(0.01),A20(0.011),A20(0.011),A20(0.011),A20(0.011),A20(0.012),A20(0.012),A20(0.012),A20(0.013),A20(0.013),A20(0.013),A20(0.013),A20(0.014),A20(0.014),A20(0.014),A20(0.014),A20(0.015),A20(0.015),A20(0.015),A20(0.016),A20(0.016),A20(0.016),A20(0.016),A20(0.017),A20(0.017),A20(0.017),A20(0.017),A20(0.018),A20(0.018),A20(0.018),A20(0.018),A20(0.019),A20(0.019),A20(0.019),A20(0.02),A20(0.02),A20(0.02),A20(0.02),A20(0.021),A21(0.021),A21(0.021),A21(0.021),A21(0.022),A21(0.022),A21(0.022),A21(0.022),A21(0.023),A21(0.023)\n",
"A21 -> A19(0.0),A20(0.001),A20(0.001),A20(0.001),A20(0.002),A20(0.002),A20(0.002),A20(0.003),A20(0.003),A21(0.003),A21(0.004),A21(0.004),A21(0.004),A21(0.005),A21(0.005),A21(0.005),A21(0.006),A21(0.006),A21(0.006),A21(0.006),A21(0.007),A21(0.007),A21(0.007),A21(0.008),A21(0.008),A21(0.008),A21(0.009),A21(0.009),A21(0.009),A21(0.01),A21(0.01),A21(0.01),A21(0.011),A21(0.011),A21(0.011),A21(0.012),A21(0.012),A21(0.012),A21(0.013),A21(0.013),A21(0.013),A21(0.014),A21(0.014),A21(0.014),A21(0.015),A21(0.015),A21(0.015),A21(0.016),A21(0.016),A21(0.016),A21(0.017),A21(0.017),A21(0.017),A21(0.018),A21(0.018),A21(0.018),A21(0.019),A21(0.019),A21(0.019),A21(0.019),A21(0.02),A21(0.02),A21(0.02),A21(0.021),A21(0.021),A21(0.021),A21(0.022),A21(0.022),A21(0.022),A21(0.023),A21(0.023),A21(0.023),A21(0.024),A21(0.024),A22(0.024),A22(0.025),A22(0.025),A22(0.025)\n",
"A22 -> A21(0.002),A21(0.004),A21(0.005),A21(0.007),A22(0.009),A22(0.011),A22(0.012),A22(0.014),A22(0.016),A22(0.018),A22(0.02),A22(0.021),A22(0.023),A22(0.025),A22(0.027),A22(0.029),A22(0.03),A22(0.032),A22(0.034),A22(0.036),A22(0.037),A22(0.039),A22(0.041),A22(0.043),A22(0.045),A22(0.046),A22(0.048),A22(0.05),A22(0.052),A22(0.053),A22(0.055),A22(0.057),A22(0.059)\n",
"A3 -> A2(0.0),A2(0.0),A2(0.0),A3(0.0),A3(0.0),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.013),A3(0.013),A3(0.013),A3(0.013),A3(0.013),A3(0.013),A4(0.013),A4(0.013)\n",
"A4 -> A3(0.001),A4(0.003),A4(0.004),A4(0.005),A4(0.006),A4(0.008),A4(0.009),A4(0.01),A4(0.012),A4(0.013),A4(0.014),A4(0.015),A4(0.017),A4(0.018),A4(0.019),A4(0.021),A4(0.022),A4(0.023),A4(0.024),A4(0.026),A4(0.027),A4(0.028),A4(0.029),A4(0.031),A4(0.032),A4(0.033),A4(0.035),A4(0.036),A4(0.037),A4(0.038),A4(0.04),A4(0.041),A4(0.042),A4(0.044),A4(0.045),A4(0.046),A4(0.047),A4(0.049),A5(0.05)\n",
"A5 -> A5(0.0),A5(0.001),A5(0.001),A5(0.002),A5(0.002),A5(0.003),A5(0.003),A5(0.004),A5(0.004),A5(0.005),A5(0.005),A5(0.005),A5(0.006),A5(0.006),A5(0.007),A5(0.007),A5(0.008),A5(0.008),A5(0.009),A5(0.009),A5(0.009),A5(0.01),A5(0.01),A5(0.011),A5(0.011),A5(0.012),A5(0.012),A5(0.013),A5(0.013),A5(0.014),A5(0.014),A5(0.014),A5(0.015),A5(0.015),A5(0.016),A5(0.016),A5(0.017),A5(0.017),A5(0.018),A5(0.018),A5(0.019),A5(0.019),A5(0.019),A5(0.02),A5(0.02),A5(0.021),A5(0.021),A5(0.022),A5(0.022),A5(0.023),A5(0.023),A5(0.024),A5(0.024),A5(0.024),A5(0.025),A5(0.025),A5(0.026),A5(0.026),A5(0.027),A5(0.027),A5(0.028),A5(0.028),A5(0.028),A6(0.029),A6(0.029),A6(0.03)\n",
"A6 -> A5(0.0),A5(0.001),A6(0.001),A6(0.002),A6(0.002),A6(0.003),A6(0.003),A6(0.004),A6(0.004),A6(0.005),A6(0.005),A6(0.006),A6(0.006),A6(0.007),A6(0.007),A6(0.008),A6(0.008),A6(0.009),A6(0.009),A6(0.01),A6(0.01),A6(0.011),A6(0.011),A6(0.012),A6(0.012),A6(0.013),A6(0.013),A6(0.014),A6(0.014),A6(0.015),A6(0.015),A6(0.016),A6(0.016),A6(0.017),A6(0.017),A6(0.018),A6(0.018),A6(0.019),A6(0.019),A6(0.02),A6(0.02),A6(0.021),A6(0.021),A6(0.022),A6(0.022),A6(0.023),A6(0.023),A6(0.024),A6(0.024),A6(0.025),A6(0.025),A6(0.026),A6(0.026),A6(0.027),A6(0.027),A6(0.028),A6(0.028),A6(0.029),A7(0.029),A7(0.03),A7(0.03),A7(0.031),A7(0.031)\n",
"A7 -> A6(0.0),A6(0.001),A6(0.001),A6(0.001),A7(0.002),A7(0.002),A7(0.002),A7(0.003),A7(0.003),A7(0.003),A7(0.004),A7(0.004),A7(0.004),A7(0.005),A7(0.005),A7(0.005),A7(0.006),A7(0.006),A7(0.006),A7(0.007),A7(0.007),A7(0.007),A7(0.008),A7(0.008),A7(0.008),A7(0.009),A7(0.009),A7(0.009),A7(0.01),A7(0.01),A7(0.01),A7(0.011),A7(0.011),A7(0.011),A7(0.012),A7(0.012),A7(0.012),A7(0.013),A7(0.013),A7(0.013),A7(0.014),A7(0.014),A7(0.014),A7(0.015),A7(0.015),A7(0.015),A7(0.016),A7(0.016),A7(0.016),A7(0.017),A7(0.017),A7(0.017),A7(0.018),A7(0.018),A7(0.018),A7(0.019),A7(0.019),A7(0.019),A7(0.02),A7(0.02),A7(0.02),A7(0.021),A7(0.021),A7(0.021),A7(0.022),A7(0.022),A7(0.022),A7(0.023),A7(0.023),A8(0.023),A8(0.024),A8(0.024),A8(0.024),A8(0.025),A8(0.025),A8(0.025),A8(0.026)\n",
"A8 -> A7(0.0),A7(0.0),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A8(0.001),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.008),A8(0.008),A8(0.008),A8(0.008),A8(0.008),A8(0.008),A8(0.009),A8(0.009),A8(0.009),A8(0.009),A8(0.009),A8(0.01),A8(0.01),A8(0.01),A8(0.01),A8(0.01),A8(0.01),A8(0.011),A8(0.011),A8(0.011),A8(0.011),A8(0.011),A8(0.011),A8(0.012),A8(0.012),A8(0.012),A8(0.012),A8(0.012),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.013),A8(0.014),A8(0.014),A8(0.014),A8(0.014),A8(0.014),A8(0.014),A8(0.015),A8(0.015),A8(0.015),A8(0.015),A8(0.015),A8(0.016),A8(0.016),A8(0.016),A8(0.016),A8(0.016),A8(0.016),A9(0.017),A9(0.017),A9(0.017),A9(0.017),A9(0.017),A9(0.017),A9(0.018),A9(0.018),A9(0.018),A9(0.018),A9(0.018),A9(0.019),A9(0.019)\n",
"A9 -> A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.01),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.011),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.012),A9(0.013),A9(0.013),A9(0.013),A9(0.013)\n",
"\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"NASDAQ:\n",
"A1 -> A1(0.004),A1(0.009),A1(0.013),A1(0.017),A1(0.022),A1(0.026),A1(0.03),A1(0.035),A1(0.039),A1(0.043),A1(0.048),A1(0.052),A1(0.056),A1(0.061),A1(0.065),A1(0.069),A1(0.074),A2(0.078),A2(0.082),A2(0.087),A2(0.091)\n",
"A10 -> A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.002),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.003),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.004),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.005),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.006),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.007),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.008),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.009),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.01),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.011),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.012),A10(0.013),A10(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A11(0.013),A9(0.013),A9(0.013),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014),A9(0.014)\n",
"A11 -> A10(0.0),A10(0.001),A10(0.001),A10(0.002),A10(0.002),A10(0.003),A11(0.003),A11(0.004),A11(0.004),A11(0.005),A11(0.005),A11(0.006),A11(0.006),A11(0.007),A11(0.007),A11(0.008),A11(0.008),A11(0.009),A11(0.009),A11(0.01),A11(0.01),A11(0.011),A11(0.011),A11(0.012),A11(0.012),A11(0.012),A11(0.013),A11(0.013),A11(0.014),A11(0.014),A11(0.015),A11(0.015),A11(0.016),A11(0.016),A11(0.017),A11(0.017),A11(0.018),A11(0.018),A11(0.019),A11(0.019),A11(0.02),A11(0.02),A11(0.021),A11(0.021),A11(0.022),A11(0.022),A11(0.023),A11(0.023),A11(0.024),A11(0.024),A11(0.025),A11(0.025),A11(0.025),A11(0.026),A11(0.026),A11(0.027),A11(0.027),A11(0.028),A11(0.028),A11(0.029),A11(0.029),A12(0.03),A12(0.03),A12(0.031)\n",
"A12 -> A11(0.167),A11(0.333),A11(0.5)\n",
"A2 -> A1(0.0),A1(0.0),A1(0.0),A1(0.0),A2(0.0),A2(0.0),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.002),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.003),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.004),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.005),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.006),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.007),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.008),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.009),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.01),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.011),A2(0.012),A2(0.012),A2(0.012),A2(0.012),A2(0.012),A2(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.013),A3(0.013),A3(0.013)\n",
"A3 -> A2(0.0),A2(0.0),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.001),A2(0.002),A2(0.002),A2(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.004),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.005),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.006),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.007),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.008),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.009),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.01),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.011),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.012),A3(0.013),A3(0.013),A3(0.013),A3(0.013),A3(0.013),A3(0.014),A3(0.014),A3(0.014),A3(0.014),A3(0.014),A3(0.014),A3(0.015),A3(0.015),A3(0.015),A3(0.015),A3(0.015),A3(0.016),A3(0.016),A3(0.016),A3(0.016),A3(0.016),A3(0.017),A3(0.017),A3(0.017),A3(0.017),A3(0.017),A3(0.018),A3(0.018),A3(0.018),A3(0.018),A3(0.018),A3(0.018),A3(0.019),A4(0.019),A4(0.019),A4(0.019),A4(0.019)\n",
"A4 -> A3(0.0),A3(0.0),A3(0.0),A3(0.001),A3(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.011),A4(0.011),A4(0.011),A4(0.011),A4(0.011),A4(0.011),A4(0.011),A4(0.012),A4(0.012),A4(0.012),A4(0.012),A4(0.012),A4(0.012),A4(0.013),A4(0.013),A4(0.013),A4(0.013),A4(0.013),A4(0.013),A4(0.014),A4(0.014),A4(0.014),A4(0.014),A4(0.014),A4(0.014),A4(0.014),A4(0.015),A4(0.015),A4(0.015),A4(0.015),A4(0.015),A4(0.015),A4(0.016),A4(0.016),A5(0.016),A5(0.016),A5(0.016),A5(0.016),A5(0.016),A5(0.017),A5(0.017),A5(0.017),A5(0.017),A5(0.017),A5(0.017),A5(0.018)\n",
"A5 -> A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.01),A5(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.012)\n",
"A6 -> A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.001),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A6(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006),A7(0.006)\n",
"A7 -> A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A6(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.001),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.002),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.003),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A7(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005)\n",
"A8 -> A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A7(0.0),A8(0.0),A8(0.0),A8(0.0),A8(0.0),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.002),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.003),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.004),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.005),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.006),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A8(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007)\n",
"A9 -> A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A10(0.0),A8(0.0),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A8(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.001),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.002),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.003),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.004),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.005),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.006),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.007),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.008),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009),A9(0.009)\n",
"\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "ivIu65sf1ANc",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### With transformed data"
]
},
{
"metadata": {
"id": "vS6ssaUe1ANd",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 593
},
"outputId": "6d24aa04-f496-43dc-f058-f38844c39d3d"
},
"cell_type": "code",
"source": [
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
"\n",
" model2 = yu.WeightedFTS(partitioner=partitioners_diff[dataset_name])\n",
" model2.name=dataset_name\n",
" model2.append_transformation(tdiff)\n",
" model2.fit(dataset[:train_split], save_model=True, file_path='model2'+dataset_name, order=1)\n",
"\n",
" print(model2)"
],
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": [
"TAIEX:\n",
"A0 -> A4(1.0)\n",
"A1 -> A4(0.167),A4(0.333),A5(0.5)\n",
"A2 -> A2(0.015),A2(0.03),A2(0.045),A3(0.061),A4(0.076),A4(0.091),A4(0.106),A4(0.121),A5(0.136),A5(0.152),A5(0.167)\n",
"A3 -> A2(0.0),A2(0.0),A3(0.0),A3(0.0),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.002),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A3(0.003),A4(0.003),A4(0.003),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.005),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.006),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.007),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.008),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.009),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A4(0.01),A5(0.011),A5(0.011),A5(0.011),A5(0.011),A5(0.011),A5(0.011),A5(0.011),A5(0.011),A5(0.012),A5(0.012),A5(0.012),A5(0.012),A5(0.012),A5(0.012),A5(0.012),A5(0.012),A5(0.013),A5(0.013),A5(0.013),A5(0.013),A5(0.013),A5(0.013),A5(0.013),A5(0.013),A5(0.014),A5(0.014),A5(0.014),A5(0.014),A5(0.014),A5(0.014),A5(0.014),A5(0.014),A5(0.015),A5(0.015),A5(0.015),A5(0.015),A5(0.015),A5(0.015),A6(0.015),A6(0.015),A6(0.016),A7(0.016)\n",
"A4 -> A1(0.0),A1(0.0),A2(0.0),A2(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5
"A5 -> A0(0.0),A2(0.0),A2(0.0),A2(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001
"A6 -> A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A4(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.007),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.008),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.009),A5(0.01),A5(0.01),A5(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.01),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A6(0.011),A7(0.012),A7(0.012),A7(0.012),A8(0.012),A8(0.012),A8(0.012),A9(0.012)\n",
"A7 -> A3(0.004),A3(0.007),A3(0.011),A4(0.014),A4(0.018),A4(0.022),A4(0.025),A5(0.029),A5(0.033),A5(0.036),A5(0.04),A5(0.043),A5(0.047),A5(0.051),A5(0.054),A5(0.058),A6(0.062),A6(0.065),A6(0.069),A6(0.072),A7(0.076),A7(0.08),A7(0.083)\n",
"A8 -> A2(0.028),A3(0.056),A3(0.083),A3(0.111),A5(0.139),A5(0.167),A5(0.194),A6(0.222)\n",
"A9 -> A1(0.333),A7(0.667)\n",
"\n",
"SP500:\n",
"A2 -> A2(0.167),A4(0.333),A5(0.5)\n",
"A3 -> A3(0.002),A3(0.003),A3(0.005),A3(0.006),A3(0.008),A3(0.009),A4(0.011),A4(0.012),A4(0.014),A4(0.015),A4(0.017),A4(0.018),A4(0.02),A4(0.021),A4(0.023),A4(0.024),A4(0.026),A4(0.027),A4(0.029),A5(0.03),A5(0.032),A5(0.033),A5(0.035),A5(0.036),A5(0.038),A5(0.039),A5(0.041),A5(0.042),A5(0.044),A5(0.045),A5(0.047),A5(0.048),A5(0.05),A6(0.051),A6(0.053),A7(0.054)\n",
"A4 -> A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A4(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.003),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.004),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.005),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A5(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.006),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A6(0.007),A7(0.007)\n",
"A5 -> A2(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001
"A6 -> A2(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A4(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.0),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.001),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A5(0.002),A6(0.002),A6(0.002),A6(0.002),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.003),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A6(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.004),A7(0.005
"A7 -> A3(0.001),A3(0.001),A3(0.002),A4(0.002),A4(0.003),A4(0.003),A4(0.004),A4(0.004),A4(0.005),A4(0.005),A4(0.006),A4(0.007),A4(0.007),A5(0.008),A5(0.008),A5(0.009),A5(0.009),A5(0.01),A5(0.01),A5(0.011),A5(0.011),A5(0.012),A5(0.013),A5(0.013),A5(0.014),A5(0.014),A5(0.015),A5(0.015),A6(0.016),A6(0.016),A6(0.017),A6(0.017),A6(0.018),A6(0.019),A6(0.019),A6(0.02),A6(0.02),A6(0.021),A6(0.021),A6(0.022),A6(0.022),A6(0.023),A6(0.023),A6(0.024),A7(0.025),A7(0.025),A7(0.026),A7(0.026),A7(0.027),A7(0.027),A7(0.028),A7(0.028),A7(0.029),A7(0.03),A7(0.03),A7(0.031),A7(0.031),A7(0.032),A8(0.032),A9(0.033)\n",
"A8 -> A6(0.067),A6(0.133),A6(0.2),A7(0.267),A7(0.333)\n",
"A9 -> A6(1.0)\n",
"\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"NASDAQ:\n",
"A0 -> A2(0.167),A3(0.333),A6(0.5)\n",
"A1 -> A2(0.167),A5(0.333),A6(0.5)\n",
"A2 -> A0(0.001),A2(0.002),A2(0.003),A3(0.004),A3(0.005),A3(0.006),A3(0.006),A3(0.007),A3(0.008),A3(0.009),A3(0.01),A3(0.011),A3(0.012),A3(0.013),A3(0.014),A3(0.015),A3(0.016),A3(0.017),A3(0.018),A3(0.019),A3(0.019),A3(0.02),A3(0.021),A3(0.022),A3(0.023),A3(0.024),A3(0.025),A3(0.026),A4(0.027),A4(0.028),A4(0.029),A4(0.03),A4(0.031),A4(0.031),A4(0.032),A4(0.033),A4(0.034),A4(0.035),A4(0.036),A4(0.037),A4(0.038),A4(0.039),A4(0.04),A4(0.041),A5(0.042),A5(0.043)\n",
"A3 -> A1(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4(0.002),A4
"A4 -> A0(0.0),A1(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A2(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.0),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A3(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),A4(0.001),
"A5 -> A1(0.0),A2(0.001),A2(0.001),A2(0.002),A2(0.002),A2(0.002),A2(0.003),A3(0.003),A3(0.003),A3(0.004),A3(0.004),A3(0.005),A3(0.005),A3(0.005),A3(0.006),A4(0.006),A4(0.006),A4(0.007),A4(0.007),A4(0.008),A4(0.008),A4(0.008),A4(0.009),A4(0.009),A4(0.01),A4(0.01),A4(0.01),A4(0.011),A4(0.011),A4(0.011),A4(0.012),A4(0.012),A4(0.013),A4(0.013),A4(0.013),A4(0.014),A4(0.014),A4(0.014),A4(0.015),A4(0.015),A4(0.016),A4(0.016),A4(0.016),A4(0.017),A4(0.017),A4(0.018),A4(0.018),A4(0.018),A4(0.019),A4(0.019),A4(0.019),A4(0.02),A4(0.02),A4(0.021),A4(0.021),A4(0.021),A4(0.022),A5(0.022),A5(0.022),A5(0.023),A5(0.023),A5(0.024),A5(0.024),A5(0.024),A5(0.025),A5(0.025),A5(0.025),A5(0.026),A5(0.026),A6(0.027),A6(0.027),A6(0.027)\n",
"A6 -> A0(0.011),A2(0.022),A3(0.033),A3(0.044),A3(0.055),A4(0.066),A4(0.077),A4(0.088),A5(0.099),A5(0.11),A5(0.121),A6(0.132),A6(0.143)\n",
"A7 -> A4(1.0)\n",
"\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "aQpvIZH-1ANm",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Predicting with the models"
]
},
{
"metadata": {
"id": "oCIanv6y1ANn",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 749
},
"outputId": "073a2de2-69e7-4be2-da86-ad85670bc263"
},
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(nrows=3, ncols=1, figsize=[20,10])\n",
"\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
" \n",
" ax[count].plot(dataset[train_split:train_split+200])\n",
"\n",
" model1 = cUtil.load_obj('model1'+dataset_name)\n",
"\n",
" forecasts = model1.predict(dataset[train_split:train_split+200])\n",
" \n",
" ax[count].plot(forecasts)\n",
" \n",
" ax[count].set_title(dataset_name)\n",
" \n",
"plt.tight_layout()"
],
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABZgAAALICAYAAADyhJW9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n9dDU6qGpzUNTi
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1734affc18>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "1SeMZVNc1ANw",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 143
},
"outputId": "ab012ac9-bdd5-4cce-a1fe-565effc56a44"
},
"cell_type": "code",
"source": [
"from pyFTS.benchmarks import Measures\n",
"\n",
"rows = []\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" row = [dataset_name]\n",
" \n",
" dataset = get_dataset(dataset_name)\n",
" \n",
" test = dataset[train_split:train_split+200]\n",
"\n",
" model1 = cUtil.load_obj('model1'+dataset_name)\n",
" \n",
" row.extend(Measures.get_point_statistics(test, model1))\n",
" \n",
" rows.append(row)\n",
" \n",
" \n",
"pd.DataFrame(rows,columns=[\"Dataset\",\"RMSE\",\"SMAPE\",\"Theil's U\"])\n",
" \n",
" \n",
" "
],
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"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>Dataset</th>\n",
" <th>RMSE</th>\n",
" <th>SMAPE</th>\n",
" <th>Theil's U</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>TAIEX</td>\n",
" <td>92.76</td>\n",
" <td>0.79</td>\n",
" <td>1.41</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>SP500</td>\n",
" <td>16.01</td>\n",
" <td>0.63</td>\n",
" <td>2.88</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>NASDAQ</td>\n",
" <td>48.70</td>\n",
" <td>1.19</td>\n",
" <td>2.03</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Dataset RMSE SMAPE Theil's U\n",
"0 TAIEX 92.76 0.79 1.41\n",
"1 SP500 16.01 0.63 2.88\n",
"2 NASDAQ 48.70 1.19 2.03"
]
},
"metadata": {
"tags": []
},
"execution_count": 12
}
]
},
{
"metadata": {
"id": "z1-RnKZL1AN8",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 749
},
"outputId": "0ae30b61-9ac3-432c-c2cc-cf69659991cc"
},
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(nrows=3, ncols=1, figsize=[20,10])\n",
"\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
" \n",
" ax[count].plot(dataset[train_split:train_split+200])\n",
"\n",
" model1 = cUtil.load_obj('model2'+dataset_name)\n",
"\n",
" forecasts = model1.predict(dataset[train_split:train_split+200])\n",
" \n",
" ax[count].plot(forecasts)\n",
" \n",
" ax[count].set_title(dataset_name)\n",
" \n",
"plt.tight_layout()"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABZgAAALICAYAAADyhJW9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDGaRmcCeil7CF
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1734acc4e0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "W1qJAO1Q1AOD",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 143
},
"outputId": "05058f95-57d3-47cc-c6fa-c9d8aee36740"
},
"cell_type": "code",
"source": [
"from pyFTS.benchmarks import Measures\n",
"\n",
"rows = []\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" row = [dataset_name]\n",
" \n",
" dataset = get_dataset(dataset_name)\n",
" \n",
" test = dataset[train_split:train_split+200]\n",
"\n",
" model1 = cUtil.load_obj('model2'+dataset_name)\n",
" \n",
" row.extend(Measures.get_point_statistics(test, model1))\n",
" \n",
" rows.append(row)\n",
" \n",
" \n",
"pd.DataFrame(rows,columns=[\"Dataset\",\"RMSE\",\"SMAPE\",\"Theil's U\"])\n",
" \n",
" \n",
" "
],
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"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>Dataset</th>\n",
" <th>RMSE</th>\n",
" <th>SMAPE</th>\n",
" <th>Theil's U</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>TAIEX</td>\n",
" <td>71.41</td>\n",
" <td>0.61</td>\n",
" <td>1.09</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>SP500</td>\n",
" <td>6.93</td>\n",
" <td>0.25</td>\n",
" <td>1.25</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>NASDAQ</td>\n",
" <td>24.51</td>\n",
" <td>0.60</td>\n",
" <td>1.02</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Dataset RMSE SMAPE Theil's U\n",
"0 TAIEX 71.41 0.61 1.09\n",
"1 SP500 6.93 0.25 1.25\n",
"2 NASDAQ 24.51 0.60 1.02"
]
},
"metadata": {
"tags": []
},
"execution_count": 14
}
]
},
{
"metadata": {
"id": "rgURMaTv1AON",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"## Residual Analysis"
]
},
{
"metadata": {
"id": "cPHiYDKY1AOP",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "0rsVqiWw1AOS",
"colab_type": "code",
"colab": {},
"outputId": "c79d62e8-0986-435d-c92f-19d79b27a6aa"
},
"cell_type": "code",
"source": [
"from pyFTS.benchmarks import ResidualAnalysis as ra\n",
"\n",
"for count,dataset_name in enumerate(dataset_names):\n",
" dataset = get_dataset(dataset_name)\n",
" \n",
" model1 = cUtil.load_obj('model1'+dataset_name)\n",
" model1 = cUtil.load_obj('model2'+dataset_name)\n",
"\n",
" ra.plot_residuals(dataset, [model1, model2])"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAI4CAYAAACIt/jIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRsC5ovlwlXPOO
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1145edefd0>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAI4CAYAAABndZP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nc851oyR9cCTdD
"text/plain": [
"<matplotlib.figure.Figure at 0x7f11461d7dd8>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjgAAAI4CAYAAABndZP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyQpg37j1UaFMR
"text/plain": [
"<matplotlib.figure.Figure at 0x7f1145991940>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "o-TCl-TA1AOV",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "GleIJgYK1AOY",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}