pyFTS/pyFTS/notebooks/Severiano et al - HighOrderFTS.ipynb
2018-03-06 19:47:14 -03:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# High Order Fuzzy Time Series \n",
"\n",
"Severiano, S. A. Jr; Silva, P. C. L.; Sadaei, H. J.; Guimarães, F. G. Very Short-term Solar Forecasting using Fuzzy Time Series. 2017 IEEE International Conference on Fuzzy Systems. DOI10.1109/FUZZ-IEEE.2017.8015732"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Common Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
" from pandas.core import datetools\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib/python3/dist-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['plt']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n",
" \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
]
}
],
"source": [
"import matplotlib.pylab as plt\n",
"from pyFTS.benchmarks import benchmarks as bchmk\n",
"from pyFTS.models import hofts\n",
"\n",
"from pyFTS.common import Transformations\n",
"tdiff = Transformations.Differential(1)\n",
"\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Data Loading"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"ename": "PermissionError",
"evalue": "[Errno 13] Permission denied: '/usr/local/lib/python3.6/dist-packages/pyFTS/data/Enrollments.csv'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mPermissionError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-2-c717b3ec41cd>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mpyFTS\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdata\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mEnrollments\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0menrollments\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mEnrollments\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/pyFTS/data/Enrollments.py\u001b[0m in \u001b[0;36mget_data\u001b[0;34m()\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mget_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 7\u001b[0;31m \u001b[0mdat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mget_dataframe\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 8\u001b[0m \u001b[0mdat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdat\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"Enrollments\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 9\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdat\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/pyFTS/data/Enrollments.py\u001b[0m in \u001b[0;36mget_dataframe\u001b[0;34m()\u001b[0m\n\u001b[1;32m 13\u001b[0m dat = common.get_dataframe('data/Enrollments.csv',\n\u001b[1;32m 14\u001b[0m \u001b[0;34m'https://github.com/petroniocandido/pyFTS/raw/8f20f3634aa6a8f58083bdcd1bbf93795e6ed767/pyFTS/data/Enrollments.csv'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 15\u001b[0;31m sep=\";\")\n\u001b[0m\u001b[1;32m 16\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mdat\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/local/lib/python3.6/dist-packages/pyFTS/data/common.py\u001b[0m in \u001b[0;36mget_dataframe\u001b[0;34m(path, url, sep, compression)\u001b[0m\n\u001b[1;32m 14\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msep\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msep\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcompression\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcompression\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 15\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 16\u001b[0;31m \u001b[0mrequest\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0murlretrieve\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0murl\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfilename\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 17\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msep\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msep\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcompression\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcompression\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32m/usr/lib/python3.6/urllib/request.py\u001b[0m in \u001b[0;36murlretrieve\u001b[0;34m(url, filename, reporthook, data)\u001b[0m\n\u001b[1;32m 256\u001b[0m \u001b[0;31m# Handle temporary file setup.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 257\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mfilename\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 258\u001b[0;31m \u001b[0mtfp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'wb'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 259\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 260\u001b[0m \u001b[0mtfp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtempfile\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mNamedTemporaryFile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdelete\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mPermissionError\u001b[0m: [Errno 13] Permission denied: '/usr/local/lib/python3.6/dist-packages/pyFTS/data/Enrollments.csv'"
]
}
],
"source": [
"from pyFTS.data import Enrollments\n",
"\n",
"enrollments = Enrollments.get_data()\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring the partitioning effects on original data"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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2s47dbkcsFkMsFoOqqiiXy8hkMvj8888hCIImQEVRHGgyUqPRgMfjOTINT81IBHEQEp0E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\nN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Dc3w2w2o6ioCJs2bcLs2bMDfamhDBWdoU55eTkefPBBlJWVkeUgrVaL7du3u0QlzZkz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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc9112e3208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, hofts.HighOrderFTS, range(1,20), [1, 2, 3], tam=[10, 5])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring the partitioning effects on transformed data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Rub0G1ul11qKzU2o6ZVneEblUFAWBQADxeBzxeBz9/f0YGxuzupN3w6nnfNDthMNhDA0N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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc8d83e7da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, hofts.HighOrderFTS, range(1,20), [1, 2, 3], \n",
" transformation=tdiff, tam=[10, 5])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing the partitioning schemas"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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nMsHSUZ394+Y3HQQFA/EItzOD/tzzlJasvcw57iFkH1v9Wm1/9kYGDRlgBYS3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z8/v1NlgoZhsK5Vr5QHAgQCcQL+OJrq3O75RrbM2JCf5Ejoyte8jppGF069h1w3cy5Ymx6h1TH4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/9pjoKC6lT0gg8qmn6PvwQ2wm/61qVFc2ow/SkpOXLDqKS+kDtMx4JJnGC7fp6xwW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\nCOEm/w8iMhm/tFhCuQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc8d83c0748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyFTS.partitioners import Grid, Util as pUtil\n",
"\n",
"fuzzy_sets = Grid.GridPartitioner(data=enrollments, npart=12)\n",
"fuzzy_sets2 = Grid.GridPartitioner(data=enrollments, npart=5, transformation=tdiff)\n",
"\n",
"pUtil.plot_partitioners(enrollments, [fuzzy_sets,fuzzy_sets2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting a model on original data"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 17:43:07] Start training\n",
"[ 17:43:07] Finish training\n",
"High Order FTS:\n",
"A1,A2,A2 -> A3,A4\n",
"A1,A2,A3 -> A3,A4\n",
"A1,A3,A2 -> A3,A4\n",
"A1,A3,A3 -> A3,A4\n",
"A10,A10,A10 -> A8,A9\n",
"A10,A10,A9 -> A8,A9\n",
"A10,A9,A10 -> A8,A9\n",
"A10,A9,A9 -> A8,A9\n",
"A2,A2,A2 -> A3,A4\n",
"A2,A2,A3 -> A3,A4,A5\n",
"A2,A2,A4 -> A4,A5\n",
"A2,A3,A2 -> A3,A4\n",
"A2,A3,A3 -> A3,A4,A5\n",
"A2,A3,A4 -> A4,A5\n",
"A2,A3,A5 -> A4,A5\n",
"A2,A4,A4 -> A4,A5\n",
"A2,A4,A5 -> A4,A5\n",
"A3,A2,A3 -> A4,A5\n",
"A3,A2,A4 -> A4,A5\n",
"A3,A3,A3 -> A4,A5\n",
"A3,A3,A4 -> A4,A5\n",
"A3,A3,A5 -> A4,A5\n",
"A3,A4,A4 -> A4,A5\n",
"A3,A4,A5 -> A4,A5\n",
"A3,A5,A4 -> A4,A5\n",
"A3,A5,A5 -> A4,A5\n",
"A4,A4,A4 -> A4,A5,A6\n",
"A4,A4,A5 -> A4,A5,A6,A7\n",
"A4,A4,A6 -> A6,A7\n",
"A4,A5,A4 -> A4,A5,A6\n",
"A4,A5,A5 -> A4,A5,A6,A7\n",
"A4,A5,A6 -> A6,A7,A8,A9\n",
"A4,A5,A7 -> A6,A7,A8,A9\n",
"A4,A6,A6 -> A6,A7,A8,A9\n",
"A4,A6,A7 -> A6,A7,A8,A9\n",
"A5,A4,A4 -> A4,A5,A6\n",
"A5,A4,A5 -> A4,A5,A6,A7\n",
"A5,A4,A6 -> A6,A7\n",
"A5,A5,A4 -> A4,A5,A6\n",
"A5,A5,A5 -> A4,A5,A6,A7\n",
"A5,A5,A6 -> A6,A7,A8,A9\n",
"A5,A5,A7 -> A6,A7,A8,A9\n",
"A5,A6,A6 -> A5,A6,A7,A8,A9\n",
"A5,A6,A7 -> A5,A6,A7,A8,A9\n",
"A5,A6,A8 -> A10,A9\n",
"A5,A6,A9 -> A10,A9\n",
"A5,A7,A6 -> A5,A6\n",
"A5,A7,A7 -> A5,A6\n",
"A5,A7,A8 -> A10,A9\n",
"A5,A7,A9 -> A10,A9\n",
"A6,A4,A4 -> A4,A5\n",
"A6,A4,A5 -> A4,A5\n",
"A6,A5,A4 -> A4,A5\n",
"A6,A5,A5 -> A4,A5\n",
"A6,A6,A4 -> A4,A5\n",
"A6,A6,A5 -> A4,A5\n",
"A6,A6,A6 -> A4,A5,A6\n",
"A6,A6,A7 -> A5,A6\n",
"A6,A6,A8 -> A10,A9\n",
"A6,A6,A9 -> A10,A9\n",
"A6,A7,A5 -> A4,A5\n",
"A6,A7,A6 -> A4,A5,A6\n",
"A6,A7,A7 -> A5,A6\n",
"A6,A7,A8 -> A10,A9\n",
"A6,A7,A9 -> A10,A9\n",
"A6,A8,A10 -> A10,A9\n",
"A6,A8,A9 -> A10,A9\n",
"A6,A9,A10 -> A10,A9\n",
"A6,A9,A9 -> A10,A9\n",
"A7,A5,A4 -> A4,A5\n",
"A7,A5,A5 -> A4,A5\n",
"A7,A6,A4 -> A4,A5\n",
"A7,A6,A5 -> A4,A5\n",
"A7,A6,A6 -> A4,A5\n",
"A7,A7,A5 -> A4,A5\n",
"A7,A7,A6 -> A4,A5\n",
"A7,A8,A10 -> A10,A9\n",
"A7,A8,A9 -> A10,A9\n",
"A7,A9,A10 -> A10,A9\n",
"A7,A9,A9 -> A10,A9\n",
"A8,A10,A10 -> A10,A9\n",
"A8,A10,A9 -> A10,A9\n",
"A8,A9,A10 -> A10,A9\n",
"A8,A9,A9 -> A10,A9\n",
"A9,A10,A10 -> A10,A8,A9\n",
"A9,A10,A9 -> A10,A8,A9\n",
"A9,A9,A10 -> A10,A8,A9\n",
"A9,A9,A9 -> A10,A8,A9\n",
"\n"
]
}
],
"source": [
"model1 = hofts.HighOrderFTS(\"FTS\", partitioner=fuzzy_sets)\n",
"model1.fit(enrollments, order=3)\n",
"\n",
"print(model1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting a model on transformed data"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 17:43:16] Start training\n",
"[ 17:43:16] Finish training\n",
"High Order FTS:\n",
"A0,A1,A2 -> A2,A3\n",
"A0,A1,A3 -> A2,A3\n",
"A0,A2,A2 -> A2,A3\n",
"A0,A2,A3 -> A2,A3,A4\n",
"A0,A2,A4 -> A4\n",
"A0,A3,A3 -> A4\n",
"A0,A3,A4 -> A4\n",
"A1,A0,A1 -> A2,A3\n",
"A1,A0,A2 -> A2,A3\n",
"A1,A1,A0 -> A1,A2\n",
"A1,A1,A1 -> A1,A2,A3\n",
"A1,A1,A2 -> A2,A3\n",
"A1,A1,A3 -> A2,A3\n",
"A1,A1,A4 -> A2,A3\n",
"A1,A2,A0 -> A1,A2\n",
"A1,A2,A1 -> A1,A2\n",
"A1,A2,A2 -> A1,A2,A3,A4\n",
"A1,A2,A3 -> A2,A3,A4\n",
"A1,A2,A4 -> A2,A3,A4\n",
"A1,A3,A1 -> A1,A2\n",
"A1,A3,A2 -> A1,A2,A3,A4\n",
"A1,A3,A3 -> A2,A3,A4\n",
"A1,A3,A4 -> A4\n",
"A1,A4,A2 -> A2,A3\n",
"A1,A4,A3 -> A2,A3\n",
"A2,A0,A1 -> A2,A3\n",
"A2,A0,A2 -> A2,A3,A4\n",
"A2,A0,A3 -> A3,A4\n",
"A2,A1,A0 -> A1,A2\n",
"A2,A1,A1 -> A0,A1,A2,A3,A4\n",
"A2,A1,A2 -> A0,A1,A2,A3,A4\n",
"A2,A1,A3 -> A1,A2,A3,A4\n",
"A2,A1,A4 -> A2,A3\n",
"A2,A2,A0 -> A1,A2,A3\n",
"A2,A2,A1 -> A0,A1,A2,A3,A4\n",
"A2,A2,A2 -> A0,A1,A2,A3,A4\n",
"A2,A2,A3 -> A1,A2,A3,A4\n",
"A2,A2,A4 -> A2,A3\n",
"A2,A3,A0 -> A2,A3\n",
"A2,A3,A1 -> A1,A2,A3\n",
"A2,A3,A2 -> A1,A2,A3,A4\n",
"A2,A3,A3 -> A1,A2,A3,A4\n",
"A2,A3,A4 -> A2,A3\n",
"A2,A4,A2 -> A1,A2,A3\n",
"A2,A4,A3 -> A1,A2,A3\n",
"A2,A4,A4 -> A2,A3\n",
"A3,A0,A2 -> A3,A4\n",
"A3,A0,A3 -> A3,A4\n",
"A3,A1,A1 -> A0,A1,A3,A4\n",
"A3,A1,A2 -> A0,A1,A2,A3,A4\n",
"A3,A1,A3 -> A1,A2,A3,A4\n",
"A3,A2,A0 -> A2,A3\n",
"A3,A2,A1 -> A0,A1,A2,A3,A4\n",
"A3,A2,A2 -> A0,A1,A2,A3,A4\n",
"A3,A2,A3 -> A0,A1,A2\n",
"A3,A3,A0 -> A2,A3\n",
"A3,A3,A1 -> A1,A2,A3\n",
"A3,A3,A2 -> A0,A1,A2\n",
"A3,A3,A3 -> A0,A1,A2\n",
"A3,A3,A4 -> A2,A3\n",
"A3,A4,A2 -> A1,A2,A3,A4\n",
"A3,A4,A3 -> A1,A2,A3,A4\n",
"A3,A4,A4 -> A2,A3\n",
"A4,A2,A1 -> A1,A2\n",
"A4,A2,A2 -> A0,A1,A2\n",
"A4,A2,A3 -> A0,A1,A2,A3\n",
"A4,A2,A4 -> A2,A3\n",
"A4,A3,A1 -> A1,A2\n",
"A4,A3,A2 -> A0,A1,A2\n",
"A4,A3,A3 -> A0,A1,A2,A3\n",
"A4,A3,A4 -> A2,A3\n",
"A4,A4,A2 -> A3,A4\n",
"A4,A4,A3 -> A3,A4\n",
"\n"
]
}
],
"source": [
"model2 = hofts.HighOrderFTS(\"FTS Diff\", partitioner=fuzzy_sets2)\n",
"model2.append_transformation(tdiff)\n",
"model2.fit(enrollments, order=3)\n",
"\n",
"print(model2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using the models"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[14923.233333333337,\n",
" 15319.950000000004,\n",
" 15319.950000000004,\n",
" 16113.383333333339,\n",
" 16113.383333333339,\n",
" 17700.250000000007,\n",
" 17303.53333333334,\n",
" 16113.383333333339,\n",
" 15319.950000000004,\n",
" 15319.950000000004,\n",
" 15319.950000000004,\n",
" 16113.383333333339,\n",
" 16113.383333333339,\n",
" 17700.250000000007,\n",
" 17303.53333333334,\n",
" 19287.116666666676,\n",
" 19287.116666666676,\n",
" 18890.40000000001,\n",
" 18890.40000000001,\n",
" 18890.40000000001]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model1.predict(enrollments)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[12941.02,\n",
" 14511.2,\n",
" 15028.14,\n",
" 15126.2,\n",
" 15171.14,\n",
" 15182.08,\n",
" 16375.14,\n",
" 16734.2,\n",
" 16944.38,\n",
" 15248.2,\n",
" 15806.32,\n",
" 14960.2,\n",
" 14978.2,\n",
" 15058.02,\n",
" 16427.14,\n",
" 17718.14,\n",
" 18538.14,\n",
" 19390.260000000002,\n",
" 19152.2,\n",
" 18691.2]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model2.predict(enrollments)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing the models"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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6TExMnT7v1fZ1+3u21Z+QkFC2aNGiqg0bNrjm5uZa/fGPf7wRHR09YObMmVUJCQny9p9P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\nAAAAgJLAEAAAAAAoCQwBAAAAgNL/AZdTBgOMR2+9AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc8d8365438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bchmk.plot_compared_series(enrollments, [model1, model2], bchmk.colors, intervals=False)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model\t\t& Order & RMSE\t\t& SMAPE & Theil's U\t\t\\\\ \n",
"HOFTSFTS\t\t& 3\t\t& 466.65\t\t& 1.06\t\t& 0.76\t\\\\ \n",
"HOFTSFTS Diff\t\t& 3\t\t& 1029.5\t\t& 2.66\t\t& 1.68\t\\\\ \n",
"\n"
]
}
],
"source": [
"bchmk.print_point_statistics(enrollments, [model1, model2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Residual Analysis"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"from pyFTS.benchmarks import ResidualAnalysis as ra\n",
"\n",
"ra.plot_residuals(enrollments, [model1, model2])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}