pyFTS/pyFTS/notebooks/Sadaei et Al - ExponentialyWeightedFTS.ipynb
2018-03-02 11:37:09 -03:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# First Order Exponentialy Weighted Fuzzy Time Series by Sadaei et al. (2013)\n",
"\n",
"H. J. Sadaei, R. Enayatifar, A. H. Abdullah, and A. Gani, “Short-term load forecasting using a hybrid model with a \n",
"refined exponentially weighted fuzzy time series and an improved harmony search,” Int. J. Electr. Power Energy Syst., vol. 62, no. from 2005, pp. 118129, 2014.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Common Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"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",
"/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 sadaei\n",
"\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Data Loading"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from pyFTS.data import Enrollments\n",
"\n",
"enrollments = Enrollments.get_data()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring the partitioning effects on original data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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6WOLRbaloN8LZvY2t3W0Nvs7WWH+t9idemCkV+N1MP5zIqzLqHwyGQ5IkbPwu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\n0AsAAICY9/9fNv6AXxpAwAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8346633a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Parameter c = 1.1\n",
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, sadaei.ExponentialyWeightedFTS, \n",
" range(4,20), [1], tam=[10, 5], parameters=1.1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ALoUi7OKuiI+Wn7cXawoDAAA0EUXYxYW28NWlvaL06aYjqqqptToOAACAy6AIu4EJibHK\nK63Uj7uPWh0FAADAZVCE3cCIHlEKC/RlPAIAAKAJKMJuwM/HS2Pjo/XltiyVVFRbHQcAAMAlUITd\nxITEWJVX1eqLLVlWRwEAAHAJFGE3kdSxldqHt2A8AgAA4BxRhN2EYRi6pl+sVu49qqMlFVbHAQAA\ncHoUYTcyNiFataa0lPEIAACARlGE3UjPtsGKiwzS4rQjVkcBAABwehRhN2IYhsYlxGjN/nzlFJdb\nHQcAAMCpUYTdzLiEaJmMRwAAADSKIuxmurcJVvc2LbV4U6bVUQAAAJwaRdgNjY2P0bqD+coqYjwC\nAADgTCjCbmhs/XjEZ5u5KwwAAHAmFGE31DWqpXq2DdYSijAAAMAZUYTd1LiEaK0/WKAjhcetjgIA\nAOCUKMJuamxCjCTGIwAAAM6EIuymOkcEqU9MiBanUYQBAABOhyLsxsYmRGvj4UIdzi+zOgoAAIDT\noQi7sXHxjEcAAACcCUXYjXVoHaiEdqGsHgEAAHAaFGE3Ny4hWmnpRTqYV2p1FAAAAKdCEXZzV8ZH\nSxJ3hQEAAE5BEXZz7VoFqn/7MC1h9QgAAICfoAh7gHEJ0dp65Jj2H2U8AgAA4ASKsAc4OR6RdsTi\nJAAAAM6DIuwBYsJaKKljKzbXAAAAaIAi7CHGJURrR1ax9uQUWx0FAADAKVCEPcSV8dEyDGlJWpbV\nUQAAAJwCRdhDtAkJ0MBO4VrMnDAAAICkZhZhwzBCbB0E9jcuIVq7c0q0K5vxCAAAgLMWYcMwvmjw\n+uUGn/rabolgN2P6tpWXIR6aAwAAUON3hI0Gr7uc4ThcRFRwgAZ3bq3FaUdkmqbVcQAAACzV3Blh\nWpSLGpsQrX25pdqRxXgEAADwbI0VYfMMr+Girjg5HsFDcwAAwLM1VoQvMwxjt2EYe055PcAB2WAH\nrVv6a1iXCC1Jy2Q8AgAAeLTGinArScmSkk55HW7nXLCjsQnROpBXpq1HjlkdBQAAwDJnLcKmaRad\n6ZejAsL2xvRpK28vg9UjAACAR2ts+bREwzDWGYYRUv86v348YoKjAsL2WgX56YKuEVqymdUjAACA\n52psNGK2pOtN0zwm6e+SLjVNs5uk39g9GexqXEK0Ducf1+YMbu4DAADP1Og6wqZpHqh/3do0zQ0n\njtsvEhxhdO+28vVmPAIAAHiuc1pH2DCMSySl2DkLHCg00FfDu7J6BAAA8FyNFeH59culLZD0imEY\nnQ3D+FLSPPtHg72NS4hRRuFxbThcaHUUAAAAh2ts1YgZkq6XFGea5kbVbaoxyzTNfzgiHOzrsj5t\n5OftpSWMRwAAAA/kc7ZPGobxcoPXDV4ao0zTvMeewWB/IQG+uqh7pD7bnKnfXtlLXl6MfgMAAM9x\n1iIs6XLV3QVeIOkr8ZCc2xmXEK1l27OVeqhAyZ3YJwUAAHiOxkYjuqhuNKKVpBmSRknaa5rm1w7I\nBge4tFeU/Hy8WD0CAAB4nEZXjTBNc4NpmnebppksaZmkZwzD2G3/aHCE4ABfjexRNx5RU8vqEQAA\nwHOc0/Jp0skl1K6X1EV1G23ATYxNiFFOcYVSDuRbHQUAAMBhGntYrr+kyaobiVgm6ZX61SPgRi7t\nGaUAXy8t2ZypwXGtrY4DAADgEI3dEU6VNFHSftXNCU83DOPlhqtJwPUF+fvokp5R+mxzFuMRAADA\nYzS2akTSGY43uS0ZhjFRUqHq1iSefcqxAfVrFp/2GOxvbHyMPtucpTX78zSsS4TVcQAAAOyusVUj\nNqiuDLeqf10gqbOk6U25iGEYAyTtM01zmaR9hmEMqD+m+mOFZzrW5H8iNMslPaPUwtebzTUAAIDH\nOGsRNgzjC9WtJfyEYRjzJC2s/3hfM671TP3vcaZppqpu9vjE3r77VDeHfLpjcIAWft66tFeUlm7J\nUnVNrdVxAAAA7K6x0Ygupml2lSTDMPJN02zWjgumaaYahrHPMIwCSdPqD4dJarhMQeszHIODjEuI\n1uK0TK3el6/h3RiPAAAA7q2xh+Ua3vlNae5FDMMIU92d3qclzTEMI+48znWXYRgphmGk5ObmNvc0\nOI0RPaIU5OetxWlHrI4CAABgd40VYfMMr5vqLklP1z/8Nk11K1EUSjpxhzlMUt4Zjv00kGnONk0z\n2TTN5MjIyPOIhFMF+HprVO82Wro1S1WMRwAAADfXWBG+zDCM3YZh7Gn4+nx2ljNNc6HqCu88SSfu\nDMepbp3i0x2DA41LiFFhWZVW7v3Z9yAAAABupbEZ4Va2uIhpmjMMw3jcMIx9ksIbLJ+WbBjGKEmF\n9Q/QnfYYHOfCbhEK9vfR4k1HdHF37rgDAAD3ddYibJpmka0udLo1gU8U4saOwXECfL11We82+mJr\nlp6aEC8/n3PehRsAAMCl0HLwM+P6RetYebVW7DlqdRQAAAC7oQjjZ4Z3jVRIgI8+ZfUIAADgxijC\n+Bk/Hy+N7tNWX23NVkV1jdVxAAAA7IIijNMamxCt4opqLd/FeAQAAHBPFGGc1gVdIxQW6KsljEcA\nAAA3RRHGafl6e2lMn7b6alu2yqsYjwAAAO6HIowzGpsQrdLKGn23k62sAQCA+6EI44yGxrVWeJCf\nlmzOtDoKAACAzVGEcUY+3l4a07etvt6ereOVjEcAAAD3QhHGWY2Lj1ZZZY2+3ZljdRQAAACbogjj\nrAbHtVZESz8tSWM8AgAAuBeKMM7K28vQFX2j9fWObJVWVFsdBwAAwGYowmjU2IRolVfV6psdjEcA\nAAD3QRFGowZ2CldUsD/jEQAAwK1QhNEoby9DV8ZH69udOSphPAIAALgJijDOybiEaFVU1+rr7dlW\nRwEAALAJijDOyYAOrdQ2JECfbmI8AgAAuAeKMM6JV/14xPJduTpWXmV1HAAAgPNGEcY5G9cvWpU1\ntVq2jfEIAADg+ijCOGeJ7cMUG9ZCi1k9AgAAuAGKMM6ZYRgamxCtH3bnqqiM8QgAAODaKMJokrHx\n0aqqMfXltiyrowAAAJwXijCaJKFdqNqHMx4BAABcH0UYTWIYhsbGx2jFnqMqKK20Og4AAECzUYTR\nZOMSolVda+qLrYxHAAAA10URRpP1iQlRp9aBWrKZ8QgAAOC6KMJoshOrR6zcm6e8kgqr4wAAADQL\nRRjNMjY+RjW1ppYyHgEAAFwURRjN0is6WHGRQVrC6hEAAMBFUYTRLIZhaFx8tFbvy1NuMeMRAADA\n9VCE0WxjE2JUa0pLt3BXGAAAuB6KMJqtR9tgdYtqyeYaAADAJVGEcV7GJkRr7YF8ZR8rtzoK8BPH\nyqv0wfp0VdXUWh0FAOCkKMI4L+MSomWa0uesKQwnUltr6qH3N+hXCzbp/bWHrI4DAHBSFGGcl65R\nwerZNpjNNeBUXvx2j77dmauIln564es9KqustjoSAMAJUYRx3sbGR2vdgQJlFh23OgqgH3bn6l/L\ndmlCYqxmTU3S0ZIKvbHigNWxAABOiCKM8zY2IVqS9NlmNteAtTIKj+vB9zeoe1SwnprQV0kdw3Vp\nzyjN+n6visqqrI4HAHAyFGGct7jIluodHaLFaUesjgIPVlFdo3vnpqqqxtTLUwYo0M9HkvSry3vo\nWHm1Zi3fa3FCAICzoQjDJsb1i9aGQ4VKLyizOkqTFZZV6tUf9umD9enanV2smlrT6khohqeWbNem\nw4V69voExUW2PHm8d0yIru4XozdWHFBOMaubAAD+x8fqAHAPY+OjNWPpTn2+OUvTLoqzOs45qak1\n9f7aQ/rnlztV0ODH5oF+3uobE6q+saFKaBeq+Hah6tw6SF5ehoVpcTYfbcjQ26sOatqFnTWmb/TP\nPv/IZd21ZHOmZn6zR3++pq8FCQEAzogiDJvo2DpI8bGhWpx2xCWK8LoD+frDx1u1LfOYhsSF63fj\nesvP20tp6UXanFGktPRCvbf2oF5fUbcGbUt/H/WJCakvxmGKjw1Vx/BAyrET2JlVrCc/3KxBncL1\n+Jiep31Pp4ggTUpur/fXHtK0C+PUPjzQwSkBAM6IIgybGZcQrac/36HD+WVOWzSyisr19Ofb9fHG\nI4oJDdCLNw3QlfFtZRh1hbZbm2Bdl9ROklRdU6s9uSV15bi+IL+16qAqq/dLkoIDfBQfG1r3q12o\nEmLD1D68xclzwf6Ky6t0z7vrFeTvo5k3JcrX+8zTXg9d2k0fpqbruWW79K9J/R2YEgDgrCjCsJkr\n4+uK8JLNmbr74i5Wx/mJiuoavfbjfs38Zo+qa009eElX3T2iy8kHqk7Hx9tLPduGqGfbEE1Kbi9J\nqqqp1a7sYm3JKDp59/iNFQdUWb97WWgL3wbFuG68ol0ryrE9mKapxxem6WB+md67c7CiQgLO+v62\noQG6dVgnzflhn+6+uIu6twl2UFIAgLMyTNN1HwxKTk42U1JSrI6BBsa/uELVtbVa/MCFVkc56evt\n2frz4m06mFemy3u30e/G9bbpHevK6rpyXFeMC5WWXqSdWcWqrn/orlWgr+LbhZ0sxgntQhUdGkA5\nPk+v/rBPf12yXb+5sqfuuujcvvEqKK3UhTO+1QVdW2vW1GQ7JwQAWMEwjPWmaZ7TH/LcEYZNjUuI\n1l+XbNeBo6XqFBFkaZZ9uSX6y+Jt+nZnrrpEBunt2wfpou6RNr+On4+X+taXXKmDJKm8qkY7s4qV\nllGkLelFSsso0svf7z25IkVES7+6UhxbN3Oc0C5UbRq5o4n/Wbs/X09/vkNj+rTVtAvPfSa9VZCf\npl0Yp+eW7dLGw4Xq3z7MjikBAM6OO8KwqSOFxzXs79/osdE9dN/IrpZkKKmo1n++2a3Xf9wvfx9v\nPTyqm24d1ums86OOUF5Vo22Zx/43VpFepN05xTqxWltksH99Mf7f3HFUMOX4VDnF5Rr7wo9q6e+j\nj++/QCEBvk36+pKKal0841v1jA7W3DuH2CklAMAq3BGGZWLCWiipYystTst0eBE2TVMfbczQ05/t\nUE5xha5PaqfHxvRwmjIZ4OutAR1aaUCHViePlVVWa3vmsZ88kPfNzhyd+P60bUiA+saGasqQDhrR\nI8qi5M6juqZWD7y3QcXlVXrnjkFNLsFS3Qog947sqr8s3qYVe47qgq4RdkgKAHAFFGHY3Nj4aP15\n8TbtzS1RlwYbG9jTlowi/eGTrVp/sED92odp9i3JLvFj70A/HyV1DFdSx/CTx0orqrX1yDFtzijS\n5vRCrd2frzveStGM6xJOrmjhqf7x5U6t2Z+v5yb3U8+2Ic0+z82DO+i1H/Zpxhc79VGX1sxrA4CH\nYmc52NyV8dEyDGlJWqbdr5VXUqEnP9ysq2b+qIN5pZoxMUGL7hnmEiX4TIL8fTSoc7juGN5Zz9+Q\nqK8euVhD4sL1qwWb9NbKA1bHs8zSLVma9f0+TRnSQRMSz+8bggBfbz00qps2HS7Ul9uybZQQAOBq\nKMKwubahARrYMdyuRbi6plZvrtivkc9+pwUph3XHBZ31zaMjNCm5vdttchHk76PXbh2oy3u30R8+\n2aqZ3+yWK8/2N8f+o6V6bMEm9WsXqt+N622Tc143oJ3iIoL07Bc72VYbADwURRh2MTYhWjuzi7U7\nu9jm516596jGvvCj/vjpNvVrH6alD1+o/xvXu1nzoq4iwNdbL908QNcmxurZL3fp6c93eEwZPl5Z\no3veXS8fb0MvTUmSv4+3Tc7r4+2lRy7vrt05Jfp4Y4ZNzgkAcC0UYdjFFfFtZRjSYhveFc4oPK77\n5qbqpjlrVFpZrVlTk/T27YPUNcozNkbw8fbSs9f3061DO2r28n36zaLNbn8n0zRN/XbRZu3MLtbz\nNyQqNqyFTc9/Zd9o9YkJ0XPLdqmyutam5wYAOD+KMOwiKjhAgzuHa8nmzPO+c1leVaN/L9utS//5\nnb7eka1HLuuuZY9crNF92nrcQ05eXob+eHUf3T+yq95fe1gP/XeDWxe499Ye0ocbMvTwpd11sR3W\ngPbyMvTY6B46nH9c/113yObnBwA4N1aNgN2MTYjR7z7aop3Zxc16wt80TX2xNVt/XbJN6QXHNTYh\nWr+5spfN7wq6GsMw9OjoHgoO8NHTn+9QaUW1Xp6SpABf24wMOItNhwv1p0+2aUSPSD1wif2W4ru4\ne6QGdQ7XC1/v0cSkdmfddhsA4F64Iwy7uaJvW3k1c/WIPTnFmvraWt397nq19PfR+9OG6MWbBnh8\nCW5o+sVd9PS18fpuV65ueX3FmpqkAAAgAElEQVStisurrI5kMwWllbp3bqoig/313KT+dn0A0jAM\nPT66h46WVOhND16VAwA8EUUYdhPR0l9Du7TWkrRzH484Vl6lvyzepjHP/6C09EL96eo+WvzAcA3t\n0trOaV3TjYM66N83JCr1YIFumrNG+aWVVkc6bzW1ph6at1G5xRV6ecoAtQrys/s1kzuF65KeUXrl\nu70qKnOfbygAAGdHEYZdjUuI0b6jpdqWeeys76utNTV/3WFd8ux3en3Ffk0a2F7fPTZStw7rJB+L\nt0Z2dlf3i9HsW5K0K7tYk2etUlZRudWRzst/vtmt5bty9cer+yihnePWg3708h46Vl6t2T/sddg1\nAQDWomHArkb3aStvL+Os4xEbDhVowksr9PgHaerYOkif3j9cf5sQr3AH3Al0F5f0bKO3bh+kzKJy\nXT9rpQ7llVkdqVm+25mjf3+9W9cOiNWNg9o79Nq9Y0J0Vb8Yvf7jAeUUu/Y3EwCAc0MRhl2FB/lp\nWJfWWnya8Yic4nI9umCTJry0UplF5Xp+cn8tvHuo+saGWpTWtQ2Ja633pg1WcXm1Jr6yUjuzbL+G\nsz2lF5Tp4Xkb1aNNsJ4aH2/JiiCPXNZdlTW1evGbPQ6/NgDA8SjCsLurEmJ0KL9MWzLqxiMqq2s1\nZ/k+XfLs9/p4Y4buvriLvnl0hMYnxnrccmi2ltAuTPOnD5UkTZ69SpsOF1qc6NxUVNfo3rmpqqkx\n9fKUJLXws2YFjM4RQZqU3F7vrT2kw/mueVfdFmYv3+vR23kD8BwUYdjd5X3ayMfL0OLNR7R8V66u\n+PdyPfXZdg3s1Epf/vJiPXFFT7X0Z8kqW+neJlgL7x6mkABf3TRntVbtzbM6UqP+/Ok2paUX6dlJ\n/dQ5IsjSLA9e2lWGYej5ZbstzWGV99ce0t8+26E/fLKVHfcAuD2KMOwuLNBPF3aL0Os/7tctr69V\nTa2p129L1hu/GGR56XFXHVoHasHdQxUT1kK3vrFWX2/PtjrSGX2wPl1z1xzS9IvjNLpPW6vjKDq0\nhW4d2lGLNqTbZYtwZ7Z2f75+//EWXdgtQoM6hevxhWnanF5kdSwAsBuHFWHDMAYYhjHRMIyJDY5N\nNAxjlGEYj5/tGFzfTYM7qqW/j349pqe++OVFuqRnG6sjub02IQGaP32oerYN1vR31jvl3b3tmcf0\n2482a3DncD12eQ+r45x0z4iuCvTz0bNf7rQ6isOkF5TpnnfXq32rQM28aYBemjJArYP8dNc7Kcot\nrrA6HgDYhSPvCD9pmuZCSXH1pXiAJJmmuUxS4ZmOOTAf7Oiy3m204feX654RXeTv4147oDmzVkF+\nmnvnYCV1bKWH523U3DUHrY500rHyKt3z7nqFBPjqPzclOtUyeeFBfpp2YZy+2JrtMnPW56OsslrT\n3l6vyppazbk1WaEtfBXR0l+zb0lWQVml7p273q238gbguRzyN0/9XeB1kmSa5gzTNFMlTZZ04m+Y\nfZJGneEYgPMQHOCrt24fpJE9ovTbRVv0yvfWr5NrmqYenb9JhwuO68WbBygqOMDqSD9zx4WdFR7k\np3984d53hWtrTf1q/ibtzDqmF25MVJfIlic/1zc2VP+Y2E/rDhToj59utTAlANiHo27BDJTUuv6u\n74mRhzBJ+Q3e0/oMxwCcpwBfb82amqSr+sXo75/v0D++2HHOu/3Zw+zl+/Tltmw9eUVPDewUblmO\ns2np76N7R3TRj3uOauWeo1bHsZv/fLNHn2/J0pNX9NLIHlE/+/xV/WJ074guem/NIb272nl+ogAA\ntuDIn0Xm1d8JVsM54aYyDOMuwzBSDMNIyc3NtV06wM35envp+cn9ddPgDnrx2736/cdbVVvr+DK8\nam+enlm6Q1fGt9Udwzs7/PpNMWVIR0WHBmjGFzst/cbBXpZuydRzy3bp2gGxuvPCM/+3+NXlPXRJ\nzyj98ZOtWr3P+VchAYBz5aginKe6UQepbvRhYP3vJ24FhdW/53THfsI0zdmmaSabppkcGRlp19CA\nu/H2MvTU+L6afnGc3ll9UL9asEnVNY6b/cw+Vq4H3t+gThFBeua6BKdfNzrA11sPXdpNGw8X6qtt\nzrvyRnNsO3JMv5y3Sf3bh+lvE86+gYm3l6Hnb+ivDq0Dde/cVKUXeO4aywDci6OK8EJJcfWvw1Q3\nLzyvwbE4ScvOcAyADRmGoSfG9NRjo3to0YYM3TM3VeVVNXa/blVNre5/L1WlFdV6ZUqSggN87X5N\nW5iY1E5xEUF69sudqrHgDro95JVUaNrbKQpp4aPZU5MU4Nv4A6whAb6ac0uyqmpqddfb61VWWe2A\npABgXw4pwqZp7lPdKhATJbU2TXNhgzGJUZIKTdNMPd0xR+QDPI1hGLpvZFf95Zo++mpbtm5/c51K\nK+xbbJ75fIfWHSjQ36+LV/c2wXa9li35eHvpkcu7a1d2iT7Z5HxL0DVVZXWt7pmbqqMlFZo9NVlR\nIef+oGKXyJZ64cZEbc86pscWprnluAgAz+KwGeH6kYaFpmn++pRjy0zTnH22YwDsY+rQTnpucj+t\n2Z+vm19do8KySrtc57PNmXr1x/26dWhHXdM/1i7XsKcr+0ard3SI/vXVLpdeRsw0Tf3hk61auz9f\nMyYmqF/7sCafY2SPKD0xpqeWpGXqpe+sX4EEAM6H8yzcCcASExLb6aWbB2jbkWO6YfZq5RSX2/T8\ne3NL9PjCNPVvH6bfju1t03M7ipeXocfG9NDh/OOat+6Q1XGa7d3VB/X+2kO6Z0SX8/qG5K6L4nRN\n/xg9++VOp961EAAaQxEGoNF92uqNXwzUofwyTXpllc0ehiqrrNY9766Xn4+XXrp5gPx8XPePnBHd\nIzWoU7he+GaPjlfaf6ba1lbuOao/frpNl/aM0qPnuYufYRh65roE9YkJ0UP/3ag9OZ61FTUA9+G6\nfysBsKkLukbo3TsHK7+0Ute/skp7ckrO63ymaerJDzdrd06JXrghUTFhLWyU1BqGUXdXOLe4Qm+u\nPGB1nCY5lFeme99LVeeIID1/Q395e53/ah0Bvt6aPTVZAb5emvb2ehWVVdkgKQA4FkUYwEkDOrTS\nvOlDVVVjavKsVdqSUdTsc727+qA+3nhEv7qsu4Z3i7BhSusM7BSukT0i9cr3e1V03DWKX0lFte58\ne51MU3r1lmSbrtYRE9ZCL09JUnpBmR747wa3WVUDgOegCAP4iV7RIVpw91AF+Hrrxtmrte5AfuNf\ndIoNhwr058XbdEnPKN07oqsdUlrn0dE9VHS8SrOXO/+DYrW1ph7+70btzS3VSzcPUKeIIJtfY2Cn\ncP35mr5avitXM5busPn5XcnBvFI9+WGanlm6Q4s2pGtLRpFDliYE0Hw+VgcA4Hw6RwRpwd1DNeW1\nNZr62hrNmpqsi7uf2wY2eSUVunduqtqEBOi5Sf3lZYMfwzuTPjGhuqpfjF7/8YBuG9ZZkcH+Vkc6\no399tUvLtmfrj1f11gVd7XdX/sZBHbQ985hmLd+nXtEhGp/oeiuDnK+Ve47q3vdSdbyyRjW1pqrr\n7457GVKH8EB1axOs7m1aqnubYHVvE6y4yCD5+zS+fjMA+6IIAzitmLAWmj99qG55ba3ufGud/n1D\noq6Mjz7r19TUmnp43kbllVbqg7uHKTTQNTbNaKpHLuuuzzZn6sVv9+iPV/exOs5pfbrpiGZ+u0c3\nDGyvW4d1svv1fjeut3ZmFevXH6QpLjJICe2avjSbKzJNU++sPqg/fbpNcRFBevXWZEWHttCBvFLt\nyi7WruwS7c4u1q7sYn2zI+fk+Ii3l6GOrQPVPaquIHerL8idI4Jc+qFSwNUYrrwgenJyspmSkmJ1\nDMCtFR2v0h1vrlPqoQL9/boETUpuf8b3/uvLnXrhmz36+7XxumFQBwemdLwnP0zTwvXp+uZXI9Q+\nPNDqOD+xOb1I189aqfjYUM29c4jDilVeSYWunrlCNbWmPnngAkUFn/tmHa6osrpWf/hkq95fe0iX\n9ozS8zf0P+sMdkV1jfYfLf1JOd6VXaKDeaU6MV7t42WoU0TQT+4ed2/TUh1bB8nXm4IMnAvDMNab\nppl8Tu+lCANozPHKGk1/d72W78rV78f11u3DO//sPd/syNbtb6bo+qR2mjExQYbhXiMRp8osOq6L\n//Gdru4Xo2ev72d1nJNyist1zcwVMiR98sBwRbR07OjG1iNFmvjyKvWOCdF70wa77Y//80oqdM+7\nqVp7IF/3jOiiRy/v0ezVOMqrarQ3t0S7s0v+dxc5p1iH8st04q9oX29DcREt1e1kQa77vWPrIJus\nAgK4E4owAJurqK7Rw//dqM+3ZOnhUd300KXdTpbdw/llGvefHxUT1kKL7h2mAF/3LD+n+uvibXp9\nxX598fBF6uYE20ZXVNfoxtmrtT2zWAvvGao+MaGW5FiSlqn73kvV5OT2+vt18W73TdH2zGO6860U\nHS2p0IyJCXbbLfF4ZV1B/smIRU6xDucfP/kePx8vdYlsebIYd4uq+719eCAFGR6rKUWYGWEA58Tf\nx1v/uTFRT364Wc8v261jx6v1u3G9VFFdq3vmrletaeqVKQM8pgRL0r0ju+q/6w7rn1/u0itTkyzN\nYpqmfrtoi1IPFerFmwZYVoIlaWxCtLZndtXMb/eoT2yIbhnaybIstrZ0S6Yemb9JwQE+mj99aLO2\nqT5XLfy81Tc2VH1jf/rfsqyyWntySrQzq1i7c+qKcsqBAn288cjJ9wT4nijIwT+5g9yuVQu3+8YE\nOB8UYQDnzMfbS89cl6DgAF+9vmK/SiqqZMjQloxjmnNLsjq2tv3yXM4sPMhPd17YWc8v261Nhwvt\nWooa8/qKA1q4Pl0PXtpNYxPO/lCjIzxyWXftyDqmP326Td2igjW0S2urI52X2lpT//lmj55btkv9\n24dp9tQkRYVYMwMd6OejhHZhP3sgsaSiWruzi/83YpFTotX78rRoQ8bJ94yNj9Zzk/vzQB5Qj9EI\nAE1mmqb+/fVuPb9styTp3hFd9PiYnhanskZxeZUumvGt+saG6p07BluSYfmuXN32xlpd1ruNXr45\nyWmWrCsur9KEl1Yqr6RCn9w/3OkeKjxXZZXVenTBJn22OUvXJsbqb9fGu9RPPo6VV2l3dom+25mj\n/3yzRyN7ROrlKUku9c8ANEVTRiP4lhBAkxmGoYdHdddTE/rq5sEd9Mhl3a2OZJngAF/dN7Krfth9\nVCv3HnX49fflluj+91LVvU2w/uVk6zYHB/hqzi3Jqqk1Ne3tFJVWVFsdqcnSC8p03curtHRLln57\nZS/9c1I/lyuQIQG+SurYSr+6vIf+NiFe3+3K1e1vrnPJ/x6ArVGEATTbzYM76qkJ8fLx8GWdpgzp\nqOjQAM1YulOO/CnbsfIq3fl2iny8vTTnlmQF+TvftFvniCD956YB2pVdrEcXbHLov5/zte5Avq6Z\nuULp+WV67baBmnZRnMvP1940uIP+Namf1uzP1y2vr9WxctfYKhywF8/+2wsAbCDA11sPXdpNGw8X\natn2HIdcs6bW1IPvb9ChvDK9dPMApx47uLh7pJ68opc+35Klmd/ssTrOOfnv2kO6ac5qhbTw1aL7\nLtDIHlFWR7KZCYntNPPGRKWlF+rmOWtUUFppdSTAMhRhALCBiUnt1DkiSM9+sfPk7mH2NGPpDn23\nM1d/uqaPhsQ5/4Nod17YWRMSY/XPr3bpy61ZVsc5o+qaWv3xk6164sPNGhLXWh/de4G6RrW0OpbN\nXREfrdlTk7Uzu1g3zF6tnOJyqyMBlqAIA4AN+Hh76ZHLumtndrE+2ZTR+Bechw9T0zVr+T5NHdJR\nNw/uaNdr2YphGHr62nj1axeqX87bqF3ZxVZH+pnCskrd+sZavbnygO4c3llv3DbQbbcJl6SRPaP0\n5m0DdbigTJNnrdaRwuONfxHgZijCAGAjY+Oj1Ts6RM99tVuV1bV2ucaGQwX1dyvD9furetvlGvYS\n4OutWVOTFejvo2lvp6iwzHl+JL87u1jXvLhC6/YXaMbEBP3fuN4eMfs+rGuE3rljkI4WV+j6V1bp\nUF6Z1ZEAh3L//5cDgIN4eRl6bHQPHcov07yUwzY/f1ZRuaa/s15tQvz10s1J8nXBotY2NECvTElS\nZmG5Hnh/g6pr7PMNQ1N8vT1bE15aqdKKGr1/12BNSm5vdSSHSuoYrvemDVFpZbWun7VSe3JKrI4E\nOIzr/SkKAE5sRI9IDezUSv/5ereOV9bY7LzlVTWa/k7dEmSv3jJQ4UF+Nju3oyV1bKW/ju+rH3Yf\n1d8/32FZDtM09fJ3e3Xn2ynqFBGoT+6/QEkdwy3LY6X4dqGad9dQ1dRKk2et0rYjx6yOBDgERRgA\nbMgwDD02uqdyiiv01qoDNjmnaZp64oM0bUov0nOT+6tH22CbnNdKkwa2123DOunVH/frg/XpDr9+\neVWNHp63Uc8s3aEr46O1YPowxYS1cHgOZ9KjbbDmTx8iPx8v3ThntTYeLrQ6EmB3FGEAsLFBncM1\nokekXv5ur4qOn/86rbOW79NHG4/o0cu76/I+bW2Q0Dn8dmwvDY1rrScXbXZo6coqKtekWav0cf2/\n05k3JqqFn2ttkmEvcZEtNX/6UIW08NGUV9do7f58qyNZrryqRjuznO/hTtgGRRgA7ODRy3uo6HiV\n5izfd17n+WZHtp5ZukPjEqJ138iuNkrnHHy9vfTSzQPUJsRf099JUc4x+y/hteFQga6e+aP25pRo\n9tQk3X9JN5ffJMPW2ocHasH0YWoT4q9bXl+jH3bnWh3JMusP5uvKF37Q6OeX66XvXGMNbDQNRRgA\n7KBvbKjGJUTr9RX7lVtc0axz7Mkp1oPvb1Tv6BD9Y2I/tyxsrYL8NOeWZBWXV2v6u+tVXmW7uepT\nfZiarsmzV8vf10sf3DvMre6u21rb0ADNmz5UnVoH6Y43U7RsW7bVkRzqeGWN/rJ4mya+skoVVbW6\ntGeUZizdqb9/vsOldkdE4yjCAGAnj1zWXRXVtXrx26bfSSosq9Sdb6UowLdu+2R3/tF9z7Yh+uf1\n/bThUKH+76MtNi8aNbWmnv5sux6Zv0kDOoTp4/uGq2fbEJtewx1FtPTXf+8aol7Rwbr73fVanHbE\n6kgOsWpvnsb8e7le+3G/pgzuqC9+eZHm3JKsmwd30Cvf79XvPt6iWgdsmgPHoAgDgJ3ERbbU9Unt\n9N6aQ0ovOPf1WatranX/exuUUXhcs6YmecRDXFfER+vBS7tp4fp0vbnygM3Oe6y8Sne8te7kBiTv\n3DHYpVfccLSwQD+9e+dgJXYI04Pvb9BCCx5sdJSSimr97qMtunHOaknSf+8aor+M76uW/j7y8jL0\n1/F9Nf3iOL27+pB+tWCTUyz9h/NHEQYAO3poVDfJkJ5ftvucv+apz7brxz1H9dT4eI9azuvhS7vp\nst5t9Ncl27Viz9HzPt/+o6Ua/+IK/bj7qP46vq/+Mr6vS669bLXgAF+9dfsgXdA1Qo8u2KR3Vh+0\nOpLNLd+Vq9HPLde7aw7qjuGdtfShi362dblhGHryil56bHQPLdqQoXvmptp1lAeOwZ8IAGBH0aEt\ndMuQjvowNV17chp/8nzeukN6Y8UB3X5BZ00a6FkbO3h5GXpucn91iQzSfe+lntcuZz/sztU1M39U\nQWml3r1zsKYMcY2tqJ1VoJ+P5tySrFG9ovS7j7ac90OgzqLoeJUeX7hJt7y+VgG+Xlp49zD9blzv\ns44i3Teyq/50dR99tS1bd7y1TqUV1Q5MDFujCAOAnd0zoota+Hrrn1/uOuv7Ug7k6/8+2qILu0Xo\nN1f2dFA659LSv65wmaY07e2UJpcM0zT1+o/7devraxUT1kKf3D/8Z3f20DwBvt56eUqSxsZH66nP\ntuuFr3e79INjX2/P1uXPfa8PUjN0z4guWvLghUrq2OqcvvbWYZ30z+v7adXePE19bY2Kys5/mURY\ngyIMAHbWuqW/7rwwTp9vyVJa+unXy80oPK67312v2LAWmnnjAPl48I/wO7YO0os3DdDunGI9Mn/j\nOT+YVFFdo19/kKY/L96mUb3a6IN7hql9eKCd03oWX28v/fuG/rpuQDv966tdembpTpcrwwWllfrl\nvI26460UtQr006J7h+nXY3oqwLdpD6Rel9ROL92cpC0Zx3TDnNXNXh0G1vLcP2kBwIHuvLCzWgX6\n6h9f7PzZ58oqqzXtrRRVVNXq1VuTFRroa0FC5zK8W4R+O7a3vtiarRe+aXy+Ore4QjfNWaP5Kel6\n8JKuemVKkoL8fRyQ1PP4eHvpHxMTNGVI3SoKf/xkq8usovD55kxd9tz3+nTTET10aTd9cv9wJbQL\na/b5xvRtq9duS9aBo6WaPGuVMgqP2zAtHIEiDAAOEBzgq3tHdNUPu49q1d68k8dN09RjC9K0PeuY\nXrgxUV2jXH/7ZFu5/YJOum5AOz2/bLeWbsk64/u2ZBTp6pk/auuRIs28KVGPXN5DXl7ut+ayM/Hy\nMvSXa/pq2oWd9daqg3riwzTVOHEZzi2u0L1z1+ueualqGxqgTx8Yrl9e1l1+Pudfgy7sFql37hik\n3JIKXf/ySu3LLbFBYjgKRRgAHGTq0I5qGxKgGV/8b1H+md/s0ZLNmXpiTE+N7BllcULnYhiGnprQ\nV/3ah+mR+Ru1I+vYz96zOO2IJr6yUoakhXcP07iEGMcH9VCGYeg3V/bSg5d20/yUdP1y3kZVOdmS\nYqZp6uONGbr8ue+1bFuOHhvdQx/de4F6Rdt2HenkTuF6f9oQVVTXatKsVdqe+fP/rcI5UYQBwEEC\nfL310Khu2nCoUF9vz9HSLVn651e7NCExVnddFGd1PKcU4Out2VOT1NLfR9PeTlFBaaUkqbbW1D+/\n3Kn739ugPjGh+vj+4eobG2pxWs9jGIYeuay7nriipz7ZdET3zk1VRbVzLCmWfaxc095O0UP/3ahO\nEUH67KHhum9kV7vN3/eNDdW86UPl6+2lybNWKfVQgV2uA9syXG3IvaHk5GQzJSXF6hgAcM6qamp1\n+XPLVWuayi2uULc2wZp315AmP6jjaTYcKtDkWas1sHMrvXRzkh5dsElfbcvWpOR2+sv4vvL34d+f\n1d5aeUB/+GSrLuoeqVlTkizbDdE0TS1Yn66/LN6myupaPTa6h35xQWd5O2hcJr2gTFNeXaOc4grN\nuSVZF3SNcMh18T+GYaw3TTP5nN5LEQYAx/pk0xE9+P4GRQX769MHhqtNSIDVkVzCwvXpenTBJgUH\n+Ki0olq/G9dbtw3rJMNgHthZzF93WL/+ME2DOoXrtdsGqqWDH1jMKDyuJz5I0w+7j2pQ53A9c12C\nOkcEOTSDJOUUl2vqq2u1/2ipZt6UqMv7tHV4Bk9GEQYAJ1Zba+qV5Xs1skeUzWcV3d3Tn2/XgpR0\n/fuG/rqwW6TVcXAaH2/M0CPzNymhXajevG2QQ1ZBqa019d7aQ3r6s+0yJT1xRU9NGdzR0ocmC8sq\ndesb67Qlo0j/vL6fxifGWpbF01CEAQBuq7bWZFUIJ/fF1iw98N4GdY1qqXfuGKTWLf3tdq2DeaV6\n4oPNWrUvT8O7Rujpa+OdZv3okoq6pRFX78/Tn6/pq6nscOgQTSnCPCwHAHAplGDnN7pPW825NVl7\nc0t0w+zVyjlWbvNr1NTW7SI45vkftCWjSH+/Nl7v3DHIaUqwVLdT4hu/GKhLe9ZtTf3Sd3usjoRT\nUIQBAIDNXdw9Um/dPkhHCo/r+lmrlF5QZrNz78kp0aRZq/Tnxds0JC5cXz5ykW4Y1MEp58VPbE19\ndb8YzVi6U88s3eFyu/G5M4owAACwiyFxrfXOnYNVUFqpSa+s0oGjped1vuqaWr383V5d+cIP2pNT\non9N6qfXbxuo6NAWNkpsH77eXnpucn/dNLiDXv5ur37/sevsxufuKMIAAMBuBnRopfemDVF5/WYT\nu7OLm3WenVnFuvbllXpm6Q6N7BGprx65SNcOaOeUd4FPx9vL0FPj+2r6xXF6Z/VB/WrBJlU72QYk\nnogiDAAA7KpvbKjm3TVEkjR59mptySg656+tqqnVC1/v1rj//KCMguOaeVOiXpmSpKhg11t20DAM\nPTGmpx4b3UOLNmTonrmpKq9yjg1IPBVFGAAA2F23NsGaP32oWvh668Y5q89p57UtGUW6euYK/eur\nXbqib7S+/OVFGpcQ4zJ3gU/HMAzdN7Kr/nR1H321LVt3vLVOpRXVVsfyWBRhAADgEJ0igjRv+hCF\nB/lp6qtrtHpf3mnfV1Fdo2e/2KlrXlyhvJIKzZ6apBduTLTrMmyOduuwTnr2+n5atTdPU19bo6Ky\nKqsjeSSKMAAAcJh2rQI1f/pQRYe10K2vr9X3u3J/8vkNhwo07oUfNfPbPZqQGKuvfnmx2+7MNjGp\nnV66eYA2ZxTphjmrlVtcYXUkj0MRBgAADtUmJEDz7hqiLpEtNe2tFH2xNUvlVTV6ask2XffySpVU\nVOvNXwzUs9f3c8jOdFYa0zdar906UPuPlmjyrFXKKDxudSSPws5yAADAEkVlVbr1jbXanFGk6NAA\npRcc102DO+jJK3oqOMC9C/CpUg7k6xdvrFNwgI/mThuizhFBVkdyWewsBwAAnF5ooK/evXOwhsSF\ny9vL0Ht3DtbfJsR7XAmWpORO4Xr/rrpl5q5/ZZW2Zx6zOpJH4I4wAACw1Iku4sqrQdjKnpwSTXl1\njcoqq/Xm7YM0oEMrqyO5HO4IAwAAl2EYBiW4Xteollpw91C1CvLTlFfXaOWeo1ZHcmsUYQAAACfS\nPjxQC6YPVftWgbrtzXX6alu21ZHcFkUYAADAyUSFBGje9CHqFR2iu99dr483ZlgdyS1RhAEAAJxQ\nWKCf5t45WAM7tdLD8zbq3dUHrY7UqMrqWh04Wqofdudq7pqD+nZHjtWRzsrH6gAAAAA4vZb+Pnrz\nF4N039xU/d9HW1RcXkEolyMAAAiISURBVK17RnSxLI9pmsotqdDh/OM6nF+mw/llOpRfpsMFZTqc\nf1yZRcdV22AdhrHx0RrZM8qyvI2hCAMAADixAF9vvTI1SY/M36Rnlu5QcXmVHhvdw24PGJZWVOtw\nQZkO5ZXpcMHPC295Ve1P3t8mxF/tWwVqcOdwtQsPVIf6X+3DW6hNcIBdMtoKRRgAAMDJ+Xp76fnJ\n/dXS30cvfbdXJRXV+uNVfeTl1fQyXF1Tq8yi8rpie7LgHteh/DKl55cpr7TyJ+9v6e+j9uGBiosM\n0sXdI9WhdaDatwpU+/BAtWvVQgG+3rb6x3Q4ijAAAIAL8PYy9LcJfRUS4KNZy/eppLxaMyYmyMf7\np498maap/NLKkwX31Du6Rwr/v707+G0jLeM4/nvYbLctBVynSEVQEC5ISCCt5PUe0N6Qg+DEJVGu\nXEgunFO4cUEoEf9A0r+gim/ciP+DTXLclZBiCXFCpanFAa0Qq4fDPJNOpuNkPEk8mc73I0XxvBnP\nvHlkzzx+5vW8X+jLzPiFpa+Yvv3wnp48vK+f//ixnnTvJRXdh0llt3P//Xf29nYkwgAAAA1hZvrd\nL3+kr91d0p//+jf9+4v/6ZMfLOsfp1HRfZ0kvP/575fnnvfowR096d5X/7sP9asPkwT3O5HwPv76\n3beS6bYgEQYAAGgQM9Nvf/ZDPfhgSX/4y2caf/5P3Xv/vbNxuT99unxWzX0SbffvkPIVWXhUzGzL\n3Xfi8aqkqaT+RW0AAAA479effF+/+Mm3tPSeafmrd97Z4Qs3aaF1cDMbSlqJx31JcvexpKmZ9Yva\nFtk/AACAJnn8jbt69OADkuCK6hwQsq6k8itJE0nDGW0AAADAtVtYImxm/aj0pjqSTjPLyzPaAAAA\ngGu3yIpwd4H7AgAAAC60kES4oBosJUMg0uS4I+nVjLb8tjbM7NDMDl++fHlTXQYAAMA7blF3jeiZ\nWU9JktuNL8G9kDRI/y4pTZSL2s64+56kPUkaDAae/zsAAABQxkIqwu4+cvdRLHai7Vg6u5PE1N2P\ni9oW0T8AAAC0z0LvI5yt5maWi9YBAAAAblQ759MDAABA65EIAwAAoJVIhAEAANBKJMIAAABoJRJh\nAAAAtJK5N/dWvGb2UtLfa9j1I0n/qmG/TUfcqiN21RC36ohddcSuGuJWHbE773vu/s0yKzY6Ea6L\nmR26++DyNZFF3KojdtUQt+qIXXXErhriVh2xq46hEQAAAGglEmEAAAC0EolwNcx+Vw1xq47YVUPc\nqiN21RG7aohbdcSuIsYIAwAAoJWoCFdgZlt19wFAMTPr55ZXzWzI+/ZyBbHbiJ/tuvrUFPnYZdp5\n3V2g4DXXj/fsal19aooLjnUbdfWpiUiE52RmQ0kf192PpuHgVg0HtvnE+3M/s9yXJHcfS5rOSlZw\nFrvnueWxu+9J6sUyCuRjl2vnfDHDjLhtuvtIyWuO9+sMBe/XvqRJHOsmxK48EmEsCge3OXFgm18a\nq0zTuqRpPJ5IIpmbIWJ3mmnq6U28JrGMAgWxQwn5uEWh5CT+tuPux3X17bab8ZpLr9z0iF15JMJz\nMLN+vPgwBw5uV8KB7Wo6On+yWK6rI03j7ntRDZakvqTDOvvTNJwvKvlY0nJcQWRIyRzi/DAxsxPx\noWwuJMLz6dbdgYbi4FYBBzbcBnEl4oAPYnPjfFHNq/S1xlC68syso+Tq166k52bGFZySSIRL4tP9\nlXFwmxMHtmsx1ZuEpCPpVY19aaqhu+/U3Ykm4XxR2YneDG2aiPHV89iQ9Kd4r65J4jxbEolweb3M\nl70Y5zofDm7VcGC7uhd6M7a1J4nkZA5mtpEmwXxZbi6cL6oZ6/z79dMa+9JY6ZeD6+5HU5AIl+Tu\no/iyV1dJZQnlcXC7Ig5s5UTiMUivOmSuQgwlTbm8P1s+dhGzbTM7MbPX9fbudit43XG+KKEgbhMl\nd3c5i2Od/bvNCmK3I2kjPoBtZMb34xJMqIGFiNt/nSr50heXWUuKMdUTSV0ObAAAXC8SYQAAALQS\nQyMAAADQSiTCAAAAaCUSYQAAALQSiTAAAABaiUQYAAAArUQiDAA5MR24Z2fzM7OtuA1g1W1u3eSs\nimZ2cJX+5bbVydxPeDX6/lbbdewLAOpEIgwAxSZKpre+9WI6bl3jvaa7ktZjm6O493dRGwA0Gokw\nABQbS5rkq6z5aqiZHcXvYVRl92M2tq1YPspMsbueaVvNbGM32s7Wje3txraylen9zDbSaY+3lZll\nKtbbiucX7e8g87Oa35+kP0oaptMEx//7rKCtsD+xrf34Ocrso5fZ736awANAXZbq7gAA3FbuvhmJ\n6HiO56xF4rfp7ivxeF3Sq/j7iiTFtMWjNNF2948iMTyS9DQ2N3D39PHZTIPu/iy37jMlszbmp6Tt\nFeyvJ2nX3UeRdG9LSp83cPensc5SrJMm0NtKZjgcZRLbWf1J9539n0aShpKOY/2hkiozU4cDqA0V\nYQC42KbKD5E4jt/TzOOJpLTyeZBZ9zASzo+UVHP3JT3X+cQwn4A/Tbfh7mUSyKL9nUpaMbNdJf9b\nVumEv0R/xvn2dOiGmR1IWou+AEBtSIQB4ALuPlaSzGaTxmUpGQIw5+bWMo8H7j5RUi0du/uau69J\nenHB808kpRXejpKK6kVWCvb3e0lH7r4paX/O/l+pP1H9fhFV6hNJ1/LlPgCoiqERAHCJGCLxOh6P\nzGwzqprHlzw1bxrP60r6TWxvLx1nG+vMrD67+05m3a7OJ9aF8vtTkmhvm9mKkgS/lxnDnDqV1M/d\n5eKttgr9OZS0b2YTJZXvZ5f1HwBukrl73X0AAFyzzPjd/LhhAEBgaAQAAABaiYowAAAAWomKMAAA\nAFqJRBgAAACtRCIMAACAViIRBgAAQCuRCAMAAKCVSIQBAADQSv8HhmqnEMGclmoAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83445a5f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Parameter c = 2\n",
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, sadaei.ExponentialyWeightedFTS, \n",
" range(4,20), [1], tam=[10, 5], parameters=2.0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploring the partitioning effects on transformed data"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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omQOck5ldqHZR4bpxdI8vPZbWp7Neu/dS3Tq+j5asLtCNT36gT/Yfc2BKAGi9NzYf1NPZ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83445a5cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyFTS.common import Transformations\n",
"diff = Transformations.Differential(1)\n",
"\n",
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, sadaei.ExponentialyWeightedFTS, \n",
" range(2,10), [1], transformation=diff, tam=[10, 5], parameters=1.1)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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fNgXxdXdqN1rRVo6jgj3h4njps8cGg8RTa/djXXoxnp4ag7vH9DXVH40sgLku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\noVTE2DwiYAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f834446cdd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = bchmk.simpleSearch_RMSE(enrollments, enrollments, sadaei.ExponentialyWeightedFTS, \n",
" range(2,10), [1], transformation=diff, tam=[10, 5], parameters=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing the partitioning schemas"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Tjx9mOTLjCfvWIflmeaDG0VVBbD5AYiuS5ciMx+fzYbfbOXv27BvPORwOmpubpQ8rT0mC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RqlOEUex4A6yVMOhlhxxu0n2tCfJxZ+7GE3Lr2kZq8YHFmDUzU2KmOOaA970I7t72\nm7CIRil7wQJM/v6ETpzgkONN6z4Nm25j6cGlDjmeEJbZs7CVlZH39nLVKeI2yQCrkbpcVM7qbzIY\nGdOMTs0CVecII8g9bb+5Rdwz9pUCB/D3cmf6wLZ8ezqPnadyHXJM4TqO5R1jQ8YGnuz4JBYfi2MO\n6hcG986AE59D5l7HHFO4jNI9P1C6YyehEyfg1qSJQ44Z7hfOY9GP8dmZzzhdIDfmEXXn2bYtgaNG\nUvD++1RduKg6R9wGGWA1UkmbT6HrMHvo7V3cK8R/2fKafWXgvhcdetgn7mlBRLA3czekYrPJKlZj\nkpSSRBPPJozrPM6xB+41FXwt9o2wZWW00dB1nex58zDfcQdBY8c69NgTu0zE1+xL0v4khx5XNF5h\n06eDyUTOooWqU8RtkAFWI3TqSgkfpWTyZK+WRAT7qM4RRpC5174icO908HPQSsM1nmY35gxtz4nL\nxXx2SGbyGovdF3fz/eXvmdh1Iv4e/o49uKcf9H8Rzu+GtI2OPbZwWiUbN1Jx5AhhM2Zg8qrd5ue1\n1cSrCeO7jGfHhR3sy9rn0GOLxsn9jjsIfupJir/4JxUnTqjOEbfopgMsTdN+pWnaYE3TXrjJ8274\nuHAeb2xMxdfDzNQBUapThBHoun0lwDfMvjJQDx7s2ozO4QHM25RGRbW1Xs4hnIdNt5G4P5Fwv3DG\ntL+1japrLfZpCImC5FfBJt9TRqdXV5OdmGT/6NXDD9XLOZ7o8AQWHwuJKYlyzahwiJAJE3ALCCB7\n3nzVKeIW3XCApWlaLICu68lA4b/+fp3nDQZub8Mb0aB+yMgn+UQ2z/dvQ7Cvh+ocYQRpm+wrAfe9\nCJ4OXmm4xmTSeGl4By4WlrP2+3P1cg7hPL7K+IrU/FSmd5+Oh1s9vU+5udtvxpKTCgffr59zCKdR\n8OGHVJ8/T9jsWWhut775eW14m72ZGjOVw7mHST6fXC/nEI2LW0AAIc8/T+m331K6e7fqHHELbraC\nNQYovPbndGBw/eaI+qTrOn/acII7ArwY3ztSdY4wApvVvgIQ3MZ+c4t61KdtKH3bhrJk22mKyqvr\n9VxCnSprFUsOLKFDcAdGRI6o35N1eAjCe8C2P0KVbGhtVNarpeS+tdR+++v77qvXcz3U5iHaBLZh\n4f6FVNvkfUrUXdDjv8bc7E6y581Ht9lU54hautkAqwmQ/6O/h/znEzRNi722wiWc3KZjWRw4X0jC\nkLZ4e9TPDJ5oZA79DXJO2FcC3Nzr/XQvjYimsKyat3ecqfdzCTU+SP2Ai1cvEh8Xj0mr58uENQ2G\nvA4ll+AHuR2yUeWvWYM1Px/Lb+ag1WHz89owm8zEx8Vzrvgcn5z6pF7PJRoHk6cnlpkzqTh+nOKv\nNqjOEbXkiJ9ewQ44hqhnNVYbb248SZTFj0dim6vOEUZQXW6f+Q+Pg44PN8gpOzULZGRMM1Z/k0FW\nUUWDnFM0nJKqElYcWUGvO3txb7N7G+akrXpDu+GwKxHK8m/+fOFSanJyyFuzBv9hw/Du2rVBznlf\n8/uItcSy9OBSyqplZVTUXcCDD+IZHU1OUhJ6VZXqHFELNxtgFfL/B1BNgLwfP1ib1StN0yZqmrZP\n07R9OTk5t18q6mT9vkzSc0t5cXg0Zje5eaRwgD1vQ/FF+wpAPc8K/9jsoe3RdUjcnNZg5xQNY/XR\n1RRVFhEfF9+wJx70ClSVwC65kNxocpYuRa+qwpLQcN9TmqaREJdAXkUe7x5/t8HOK4xLM5mwzJ5F\n9YULFHywXnWOqIWb/aa9Hmh97c+tgWQATdP+tTtf62t3GZwIBF/vJhi6rq/Qdb2Hrus9wsLCHNUt\nbkFZVQ1Jyae4q1UQgzs49hbaopEqy7fP+LcdBq36NOipI4J9eLJXSz5KyeTUlZIGPbeoP1dKr7D2\n+Fruj7yfjiEdG/bkTTtCt8fhhxVQeL5hzy3qTWVGBoUffkTQ6EfxaNWqQc8dY4lhcIvBvHP0HfLK\n827+AiFuwrdPH3zuuYfcZcuwXr2qOkfcxA0HWLqu74d/3yWw8F9/B7Zce/xjXdc/vvY1x2yJLhxu\n1a4MckoqeWlEdL1//lw0ErvmQ2UxDH5FyemnDojC18PMGxtPKjm/cLxlh5ZRo9cwvft0NQEDfgua\nCbb+Qc35hcPlJC1E8/QkdMoUJeefETuDSmslyw/L9X2i7jRNwzJ7NtaCAvJWrVKdI27ipp8Vu7YC\nlazr+ooffS3uOs9p86MBmHASeVcrWb4znWGdmhLXUi6XEw5QeN4+0x/zODTtpCQh2NeD5/u3IfnE\nFfaeletmXN2ZwjN8cvoTHmv/GM39FV0jGtgcek6Cw+sh64iaBuEw5YcOUbJpEyHjxmEODVXSEBkY\nyS/b/pKPTn7E+WJZGRV1592lMwH3jyD/nXepzs5WnSNuQC7GMbjFW09TXm3lheHRqlOEUWz7I6DB\ngN8pzRjfO5KmAZ788asTsqmni0van4SP2YeJXSeqDemTAF6B9q0HhMvSdZ3sP8/DLSSE4HHjlLZM\n7jYZdzd3Fh9YrLRDGEdYfDx6TQ25S95SnSJuQAZYBnYur5R1e84xukcEbcL8VOcII8g6Aoc+sM/0\nB6q9G6W3hxsJg9tx4Hwhm45dUdoibt/+K/vZnrmd8Z3HE+QVpDbGOwj6zYHTyZC+Q22LuG1Xd+yg\nbN8+QqdMxs3PV2lLmE8YT3Z8ko1nN3I096jSFmEMHi1aEDRmDIV//zuV6emqc8TPkAGWgc37Og2z\nyUTC4LaqU4RRJL9qn+HvO0t1CQC/imtOlMWPNzelUmOVDRhdja7rLEhZQJh3GE90eEJ1jt1dEyAw\nAja/DLKpp8vRrVZy5i/AvWULgkaPVp0DwLhO4wjyDCIxJVFW24VDhE5+HpOnJzmJiapTxM+QAZZB\nHb5QyBeHLvFc30gsAV6qc4QRpO+wz+z3nW2f6XcCZjcTLw6PJj2nlPX7MlXniFu09fxWDuUcYkrM\nFHzcfVTn2Ll7wYDfw+WDcFw2inU1RZ99TuWpU1gSEtDc63/z89rw8/BjUrdJ/JD1A99e+lZ1jjAA\nc0gIwc89S8nmZMr2H1CdI65DBlgGpOs6czekEuzrwcR+rW/+AiFuxmaD5FcgoDncrfg6mf8wuIOF\nHi2DSEo+RVlVjeocUUs1thqS9icRGRjJyKiRqnN+qutoaNoZtrwONbKpp6uwVVSQs2gRXl264D9s\nmOqcnxjdbjTN/ZqTmJKI1WZVnSMMIOSZZ3ALDSV73jxZGXVCMsAyoJ2nctl9Jo/pA6Pw93KOGTzh\n4o5/ApcOwMDf22f4nYimafz2/mhySipZtStDdY6opU9Of8LZ4rPMjJ2J2WRWnfNTJjcY/CoUnIWU\nNYpjRG0VrF1LTVYWljlznG5LEnc3d2bEziCtII0vM75UnSMMwOTjQ9i0qZTv38/VbdtU54j/IAMs\ng7HZ7KtXEcHePNGzpeocYQQ1VfaZfEsn6DpGdc11xbUMZlinpizfmU7e1UrVOeImyqrLWHpwKTFh\nMQyMGKg65/qiBkOrvrDjDagoVl0jbsJaWEjuipX43tcP3553q865rmGthtExpCNLDiyh0irvU6Lu\nmjzyCB6tWpE9fwF6jXyCw5nIAMtgPj14kROXi5kztD0eZvnnFQ6Q8o59Jn/wq/aZfSf1m2HRlFdb\nWbz1tOoUcRPvHX+P3PJcZveY7XQrDf+maTDkdSjLg91yi21nl7tiJbaSEiyznOMGPNdj0kwkxCVw\nufQyH6R+oDpHGIDm7k7YrASqzpyh8BO5ZtSZyG/gBlJRbWX+12l0CQ/kwa7NVOcII6gots/gt+oL\nbYeorrmhKIsfo3tEsG7POc7llarOET8jvyKfNcfWMDBiIDGWGNU5NxYeC51+Cd8tgZIs1TXiZ1Rf\nukTB2rUEPvwwXu3bq865oXvuvIfezXqz4vAKiiqLVOcIA/AfMgTvbt3IXbwEW3m56hxxjQywDGTt\n9+e4WFjOSyOiMZmcdFZYuJbdi6EsF4a8Zp/Rd3IJg9tiNpmY93Wa6hTxM1YcXkF5TTkzY2eqTqmd\ngf8D1irYPld1ifgZOQsXARA2Y7riktpJiEugpKqEVUdXqU4RBqBpGpbfzKEmO5v8v76nOkdcIwMs\ngygqr2bJttP0axdG76hQ1TnCCEqu2GfuO42C8DjVNbViCfDiub6RfHHoEocvFKrOEf8hsyST9SfX\nMypqFK2buMgdTkPaQI/xsP+vkHtKdY34DxUnT1L0+ecEPTkW92au8cmN9sHteaD1A6w7vo6sUlkZ\nFXXn06MHfgMGkLdyJTUFBapzBDLAMoy3d5yhqLyaF4c798cjhAvZMdc+cz/wf1WX3JKJ/VoT7OvB\n3A2pcutaJ7P4wGLMmpkpMVNUp9yafi+AuzdseU11ifgP2fPnY/L3J3TCBNUpt2Rq96no6Lx18C3V\nKcIgLLMSsJWVkff2ctUpAhlgGcLlonJWf5PByJhwOjULVJ0jjCD3FKS8C3Hj7DP4LsTfy53pA6PY\nfSaPnadyVeeIa47lHWNDxgae7PgkFh+L6pxb4xcG986AE19A5g+qa8Q1pd/voXTnLkInTcStSRPV\nObck3C+cX0f/ms/PfM6pAlkZFXXn2bYtgaNGUvD++1RduKg6p9GTAZYBJG5OQ9dh1pB2qlOEUWx5\n3T5jf9+LqktuyxM9WxIR7M3cDanYbLKKpZqu6ySmJNLEswnjOo9TnXN7ek0FXwtsfgVkZVQ5XdfJ\nnjcP8513EjR2rOqc2zKhywR8zb4s3L9QdYowiLDp08FkImehfE+pJgMsF5d2pYSPUy7wZK+WRAT7\nqM4RRpC5F058DvdOt8/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S5EfHLdE0GPwalFyGPXI75H/JX70Ga34+lt/MQZPNz2+Jm8mN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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f83443f1d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyFTS.partitioners import Grid, Util as pUtil\n",
"\n",
"fuzzy_sets = Grid.GridPartitioner(data=enrollments, npart=8)\n",
"fuzzy_sets2 = Grid.GridPartitioner(data=enrollments, npart=4, transformation=diff)\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": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Exponentialy Weighted FTS:\n",
"A1 -> A2(1.0)\n",
"A2 -> A2(0.30211480362537757),A2(0.33232628398791536),A3(0.36555891238670696)\n",
"A3 -> A3(0.08744401757481343),A3(0.09618841933229477),A3(0.10580726126552426),A3(0.1163879873920767),A3(0.12802678613128438),A3(0.14082946474441282),A4(0.15491241121885413),A4(0.17040365234073956)\n",
"A4 -> A3(0.16379748079474535),A4(0.18017722887421989),A4(0.1981949517616419),A4(0.2180144469378061),A5(0.23981589163158673)\n",
"A5 -> A6(1.0)\n",
"A6 -> A6(0.30211480362537757),A6(0.33232628398791536),A6(0.36555891238670696)\n",
"\n"
]
}
],
"source": [
"model1 = sadaei.ExponentialyWeightedFTS(\"FTS\", partitioner=fuzzy_sets, c=1.1)\n",
"model1.fit(enrollments)\n",
"\n",
"print(model1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting a model on transformed data"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Exponentialy Weighted FTS:\n",
"A0 -> A1(1.0)\n",
"A1 -> A0(0.10540549970059566),A1(0.11594604967065524),A1(0.12754065463772077),A2(0.14029472010149285),A2(0.15432419211164214),A2(0.16975661132280637),A3(0.18673227245508703)\n",
"A2 -> A1(0.07364053907434345),A1(0.08100459298177781),A1(0.08910505227995559),A1(0.09801555750795117),A2(0.10781711325874628),A2(0.11859882458462091),A3(0.13045870704308302),A3(0.14350457774739134),A3(0.1578550355221305)\n",
"A3 -> A2(0.21547080370609778),A2(0.23701788407670757),A2(0.26071967248437833),A3(0.28679163973281624)\n",
"\n"
]
}
],
"source": [
"model2 = sadaei.ExponentialyWeightedFTS(\"FTS Diff\", partitioner=fuzzy_sets2, c=1.1)\n",
"model2.append_transformation(diff)\n",
"model2.fit(enrollments)\n",
"\n",
"print(model2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using the models"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[14129.8,\n",
" 14564.869939577038,\n",
" 14564.869939577038,\n",
" 14564.869939577038,\n",
" 15661.27507002801,\n",
" 15661.27507002801,\n",
" 15661.27507002801,\n",
" 15661.27507002801,\n",
" 16559.635161586215,\n",
" 16559.635161586215,\n",
" 16559.635161586215,\n",
" 15661.27507002801,\n",
" 15661.27507002801,\n",
" 15661.27507002801,\n",
" 15661.27507002801,\n",
" 16559.635161586215,\n",
" 16559.635161586215,\n",
" 18890.399999999998,\n",
" 18890.399999999994,\n",
" 18890.399999999994,\n",
" 18890.399999999994,\n",
" 18890.399999999994]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model1.predict(enrollments)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[12870.91127138479,\n",
" 13080.342728533089,\n",
" 13682.91127138479,\n",
" 14213.342728533089,\n",
" 14977.342728533089,\n",
" 15272.594096099978,\n",
" 15418.91127138479,\n",
" 15676.91127138479,\n",
" 16324.342728533089,\n",
" 16734.91127138479,\n",
" 16349.594096099978,\n",
" 15394.594096099978,\n",
" 15312.91127138479,\n",
" 15106.594096099978,\n",
" 14978.91127138479,\n",
" 15501.342728533089,\n",
" 16376.342728533089,\n",
" 17347.55,\n",
" 18487.34272853309,\n",
" 19143.91127138479,\n",
" 19152.91127138479,\n",
" 18837.59409609998]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model2.predict(enrollments)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing the models"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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o6urq9MfNrb2Va8a1nbmsGVcJoHUFSlc0B2yuAK78TdaeMSIiIiIiIiKDaWxsREZGhj58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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f655639aa58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bchmk.plot_compared_series(enrollments, [model1, model2], bchmk.colors, intervals=False)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Model\t\t& Order & RMSE\t\t& SMAPE & Theil's U\t\t\\\\ \n",
"EWFTS\t\t& 1\t\t& 624.71\t\t& 1.5\t\t& 1.02\t\\\\ \n",
"EWFTS\t\t& 1\t\t& 877.76\t\t& 2.27\t\t& 1.43\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
}