{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "import logging\n", "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "df = pd.read_csv('../examples/example_wp_peyton_manning.csv')\n", "df['y'] = np.log(df['y'])\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(periods=366)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "library(prophet)\n", "df <- read.csv('../examples/example_wp_peyton_manning.csv')\n", "df$y <- log(df$y)\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, periods=366)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Specifying Seasonalities\n", "\n", "Prophet will by default fit weekly and yearly seasonalities, if the time series is more than two cycles long. It will also fit daily seasonality for a sub-daily time series. You can add other seasonalities (monthly, quarterly, hourly) using the `add_seasonality` method (Python) or function (R).\n", "\n", "The inputs to this function are a name, the period of the seasonality in days, and the number of Fourier terms for the seasonality. Increasing the number of Fourier terms allows the seasonality to fit faster changing cycles, but can also lead to overfitting: $N$ Fourier terms corresponds to $2N$ variables used for modeling the cycle. For reference, by default Prophet uses 3 terms for weekly seasonality and 10 for yearly seasonality. An optional input to `add_seasonality` is the prior scale for that seasonal component - this is discussed below.\n", "\n", "As an example, here we fit the Peyton Manning data from the Quickstart, but replace the weekly seasonality with monthly seasonality. The monthly seasonality then will appear in the components plot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Qj3p6xXiI5p94fDNP9n99vNn0voXqcUXdqL1pMzq6LunuQXUtAABm47Owd15x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\nCoHCDAAAAFDI/wMxUcWSGvyyvAAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 9 -u in\n", "m <- prophet(weekly.seasonality=FALSE)\n", "m <- add_seasonality(m, name='monthly', period=30.5, fourier.order=5)\n", "m <- fit.prophet(m, df)\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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uBbY92wXLH2uLGB9n/N/yPxE6eQ3eXXsUtY08cYWuJkk5/Oijj9C/f384ODjA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jhCCGFQiqKw7GAuT604TEbR5V2hLC006PQKAK38nPlgUCzdw0xnLVohDEVuKxtJemEFjy45SIKv\nM8/3CsNGa2nskG7JwJjLk2aWHMgxciRCCGFYNTo9E384wLC5u9FaanizfxQ7Hu/M2ZdS2PF4Z57p\nHkpuaRU9/r2NcQv3UlWrM3bIQhiUXDk0glqdnnu/TUWnKLzeN5KgZg7GDumWBbnZE+3lyLaMImOH\nIoQQBlOj0zN09i5+OXqecckBPNczlEgvp7rnfV3saBvUjFf6RPDYskPM2XWOvZmlrH24PR6ONkaM\nXAjDkSuHRvDm7yfZmlHE8z3DGBBjusvW/J2+UZ7syy4h/2KVsUMRQoh6UxSFiT/s55ej55naI5T3\nBsVcURj+lYONltmjEpk7OpFj5y/S7uM/ZOco0WhIcdjAtmVc4LU1J+gf5ckjnYKxNOPJHH0iPKnW\nKayQJW2EEI3A9M3pzN2dycR2gTzTMww3e+u/fc39SQEsfzCZnLJKun62hZJLNQ0QqRDqkuKwAZVV\n6bhnwV68Ha15sVfETZ14TFnXEHesLDRsOnXB2KEIIUS97M0s4dmfj9IlxI2X+4Tf0vm5b6QXi+9P\nIv3CJXrN2CZjEIXZk+KwAb207ixniip4rV8kHYPNY9maG3Gw0dIuqBk7zhahKIqxwxFCiNtSo9Mz\nduFenG21vNI7An/XW9++dECMNzOHx7M7s4S75uxGr5dzojBfUhw2kIV7s1h85AIPtg1kVKIfGo35\n3k7+q76RnhzPL+dY3kVjhyKEELfl403pHMwpY2qPUHrUY2ma8e0CebVvBCuPnufxZYcMGKEQDUuK\nwwYyb3cm0R62PNU9BAebxjNJvHeEJ4BspSeEMEtZJZd45dfjdA1x476kgHov6v9/vSO4t7Ufn23N\n4IttZwwUpRANS4rDBrJifDJzhoRdd+abuWrj74KzjZYdZ4uNHYoQQtyyl1cfp0av56luoXg51X8p\nGo1Gw1cjE2kb4Mrjyw6y6VSBAaIUN0NRFGp1erO7pW+Ks9wbzyUsE6e1tMDfpfGtgaW1tKBHmDs7\nzhRRq9OjtZTvG0II83Aop5Q5u84xupUfvSM9DdautdaClRPbkfD+Ru6as5vUJ7sS2OzWxzGKv3ci\n/yLzd2ey6th5juSVcalGj5WFhhB3e1LCPRjVyo/OLdxMdijX7yfyueOrnSy+P4nWJjQVQT7JRb31\nifQip6yK7WdlQWwhhPmY9tsJ7K0sebBdAHZWht2lyt3BmtUT21FZq6f3F9spr6o1aPtN3dmiCkbN\n30PU2+t58/c0FEVhSFxzHu4QxOhWfng4WPPVznN0/WwrrT7YxNoT+cYO+Sp5ZVXcs2Avvs42BDWz\nM3Y4V5Arh6LeekdcHsD9y+E8OreQfZaFEKbvaF4ZSw/mMD45QLXzVpyPMwvuacVdc3YzbO5uVk5o\nV+8xjbdKr1c4klfGodwyCsur0Wg0+LvYkhzoio+zbYPGYgiKojBr+1meXHEYnV7hgaQARib60j6o\nGS52VlccW1hezSd/pPPl9rP0/mI7Q+Oa8/WoRFz/5zhj0OkV7l2QSvGlGj4ekkhLX2eys01nYqfZ\nFYerV6/miSeeQKfTMWHCBKZOnXrF83PmzOGZZ57Bz88PgMcee4wJEyYYI9QmI8zDgeZONuzJKjF2\nKEIIcVPeXncSG0sL7mnjj5WKw2EGx/nwat9I/m/1cZ756QjvD45Vra+/OpRTyr+3nmHJgRzyrrOL\nVbyPE492CuaB5ABstIa9cqqGqlodkxYdYN7uTNoFuvJSr3B6R3peN3Z3B2um9Y3kuR6hPPvzUf69\nNYPYd9azZGwS7YPdGjj6K721Lo21aQW81CucwXHNjRrLtZhVcajT6Zg8eTJr1qzB39+f5ORkBg0a\nRExMzBXHjRw5kk8//dRIUTY9Go2GHmHu/HY8n+paHdZmcJIRQjRdGRcq+CY1ixEJPnRuoX6R8GKv\ncA7mlPHBptPE+Tgxrm2gan0dzCnlpVXHWHE4D2tLDd1C3OnUIogoL0eCmtmh0WhIv1DOtoxiVh87\nz8OLD/Labyf4cHAsIxL9VIurvoov1TBk9i42nipkUvtAnk8JI9jN4aZea2et5ZO7WjIs3ocx36TS\n+bOtvHNHNE92D1U56mtbeyKfl1cfp2+kJ492DMLWwEMaDMGsisOdO3cSFhZGSEgIAKNGjWL58uVX\nFYei4XUP9eC7vdlsyyiiWz3WCRNCCLW9u/4UGuDe1upeNfyTRqNh/phWnCos5+HFBwhzd6BLqGFv\nZV+sqmXar8f5aHM69laWPNwhiBEJvrQPbnbVeMp2Qc0Y1cofRVH4YX82L68+zsj5qSxIzeKbMa1x\nsjWt0qC8qpYBs3aw61wxr/eL5B+dW1x1C/lmdA/z4NAz3Rg6ZzdP/XSE04UVTB8a16C3+k8XljNy\n/h6C3ex5uU84Pi6mNdbwT6b1DvgbWVlZBAQE1D329/dnx44dVx23ZMkSNm3aREREBB9++OEVr/nT\nzJkzmTlzJgC5ublkZ2erF/h/5Oeb3oBYQ4lyurxd1PLUU4TbVzdIn405n8YmuVWP5FZ9N8rx+fIa\nvtxxht4hTsQ41jTIuf9PcwYG03f+EQZ8uZ2FwyNo5XNzV77+zq8ni3lp3Vmyy2oYEObCxNYetPZz\nQWtRTVF+HjeaKtjFS8OaeyN5a3MmX+zJI+Hd31kwLJwg12uPR2zo92+1Ts+4H0+x42wpL3XxYUyE\nHeVF+ZTXY/7jN4ODeXK1wmdbM0jLvcCMgaHYaNX/klBerWPQd8eoqdUxrbMfwdZVV7z/TOncYFbF\n4bW2aPvf6ekDBw5k9OjR2NjYMGPGDMaOHcu6deuuet2kSZOYNGkSAElJSfj6+qoT9P9oqH4amo+P\ngqdDGsdKlAb9HRtrPk2B5FY9klv1XS/HX6w+To1OYWKnCIIDfRo2JmDL4+50/GQLoxansWJ8Mj3C\nb38JnTMXKnj8x0OsOJxHqLs9X46IZmSiH463sdHC56P9uCMhlzHf7KX/guMseyDpurE11PtXp1cY\n800qGzJKealXOM/3CjfYLdgfHvTlldXHeX1tGiOWnmbNQx1Unaii0yvcPW83Jwor+WRoHKPaB13z\nqrWpnBvMaikbf39/zp07V/c4MzPzqkS6u7tjY3N5PcGJEyeyZ8+eBo2xqdJoNHQPcyc1s4SqGtl0\nXghhemp0emZtP0PH4GakRBhn+EuwuwNb/9EJdwdr+s3awVfbb30XlUs1Ot5cm0bMOxv47Xg+j3du\nwaqJ7XiwXdBtFYZ/uiOmOTuf6IyrnRV9Z+1g2cGc226rvhRFYfLSg/ywP5vHO7fgBQMWhnD5M+u1\n/lHMujuefVmltPlwE2eLKgzW/l8pisKjSw6w7GAuU7qGcF+bgAYZzlAfph3d/0hOTiYtLY309HSq\nq6tZuHAhgwYNuuKYnJz/vplXrFhBdHR0Q4fZZHULcSfvYjW7zsluKUII07P8UC45ZVUMj/fB2dZ4\ny5kEuzuwZ0pXWvo4M2HRAe6eu5vzZdeeUfxXOr3Ct6mZRL61jhdXHaNtoCuL7m/DuwNjCPd0NEhs\nkd5OpD7ZlTB3B0bM28P3e7MM0u6temnVMb7YdoaxSf68MSDK4OtQ/mlC+yBWjE8mr6yKpA83s0+F\nVTee/+UYM7efZVxyAM/2CDO5MZ3XYlbFoVar5dNPP6Vv375ER0czYsQIYmNjefnll1mxYgUA06dP\nJzY2loSEBKZPn86cOXOMG3QT0u0/A6zXmOBio0II8fnWDHycbLgrvmFvJ1+Lu4M12x/vzD86B/Pj\noVxC3/ydp386zNG8siuGUCmKwunCct5bf4qot9dxz4K92FtZMmNYS364vw13xjbH2sDj5dzsrdn6\neGeivRy559u9fLP73N+/yIDe33CKN38/ydC45nwwKKZeV0NvRv9obzZN7oiFBjp/uoWVR/MM1vab\na9N4e/1Jhsf78EqfcINs0dgQNMq1BvI1MUlJSezevVv1frKzs01mPIEa9HoFj5d/pXMLN1Y82Fb1\n/hp7Po1Jcqseya36rpXjo3llxLyzgcc6BfPJXS2NFNm17c0s5pmfj7L+ZAF6BTwcrAlsZocGOFd8\nifMXL0/ya9nciTGt/RiR6EuIu2Ems9xIaWUN3T/fyoHsUuaObsU9bfxVf//O3nmW8d/vJyXcg7mj\nEvFzbbjZvGcvVNDri+2cKiznpV7hvNIn8rZnMiuKwtRfjvLO+lP0i/Tk07taEupx438ztXN7K7WO\n6V/bFGbDwkJDt1A3dp0tkX2WhRAmZca2M2gtNNydYHqFeSt/V9Y+3IFjeWXM35PJwZwyCsqrsdBA\nu8BmRHk50qlFMzoFu+Hh2HBXnpxtrdj4aCe6fraFsQv3YaGBbs3VO68vO5jDhB/20y7QlU+GxjVo\nYQgQ6GZP6pNduXvebl5bk8bWjCK+v78NbvbWt9ROaWUNDyzcx7KDuQxr2Zy374z528LQ1EhxKAyq\ne6gHPx7KY29WCcmBJrSLuBCiySqvqmXurnP0CvegQ7DpnpeivJ14Y4BpjZN3stWyaXInOn/6B/d9\nt4/PBgTzkApXt9alFTBqfiqx3k5MHxJHtLeTwfu4GY42WlZOaMcba9N49bcTRPxrHdOHxjG6ld9V\nq6Ncy+8n8pm46ABniyqY0jWEZ7qHmOxahjcil3aEQf057nD1MRl3KIQwDd/tzaKkspbh8T4mP0vU\nFDnZatn8WCdivByZ/Es6P+wz7NqQm08XMvjrnfi72vLRkFjaBhm3gNdoNLzUO4JNkzvi5WjDPQv2\nkvD+RhbsyeTSNVbj0OsV1p8s4I4vd9Dri+3o9Apf3B3P6/0izbIwBLlyKAyspY8zzrZaUmWfZSGE\nCVAUhc+3ZhDmYc+Qlqa3h625cLa1YvNjnWj/4QbGLEiltLKGCe2D6t3u+pMF3PnlTjwdrflsaBw9\n67Huo6F1CHbj4DPd+WjTaT7adJp7v92LzQ/7SQ5wJczDAStLDTmlVew8W8T5i9W42Gp5rFMw49sG\nkOjnclNXGk2VFIfCoCwtNHRp4UZqZgk6vYJlA25LJIQQ/2vn2WL2ZpUytUco7g7mMVPUVLnYWbFs\ndBT3LU9n4qIDZJZU8kqfiNsugn47fp7BX+/C18WWf9/Vkt6RplMY/snSQsNT3UP5f11a8P3+bH4+\nksfBnDJWHc1Dp4CLrZbkAFc6BjdjQJQXcT7OjWK8vRSHwuB6hHnwy9HzHM4tI97X2djhCCGasH9v\nzcDeypIRiaY3EcUcOdtY8sdjnbhrzm5e/e0EpwsrmDUiHhvtra1DOGv7GR5dcpAWbvZ8flccKRGe\nJn2lzdLSgjGt/RnT+vKe1JW1eiprdGgtLHCwtmzQ/ZkbgvmXt8LkdA25PO7QkGtFCSHErSosr2bh\nvmwGRHsR7+ti7HAaDRutJT+Nb8sjHYOYvyeTVu9v4mBO6U29tuRSDfd/u5dJiw6QHODKrLvj6RXp\nZdKF4f/SaDTYWVnSzN4aJ1ttoysMQYpDoYJWfs44WluyW3ZKEUIY0Zxd56iq1TM83keGuBiYhYWG\nz4fFs2BMK7JLK2n1/kYm/bCfjAvX3oKuvKqWz/5IJ+KtdXybmsnEdoHMHZ1ItzDjbGMobkxuKwuD\n01pa0DHYjdSsEhRFMatvhEKIxkGvV/j31gwSfZ3pG+Vl7HAarTFt/OkV4cmjSw4we9c5vtxxljYB\nLnQNcae5kw3l1ToO5JSy5ng+F6t1tPZz5r2BMdzV0gcHlXc+EbdP/mWEKnqEufPbiXyOn79IlJHW\nqxJCNF1r0/I5VVjBP/tF4mpnvH2UmwIvJxsWP5DMifNlfLDxNJvTL/DZlgyqavUABLjakhLuwZ0x\n3twR7WW2y7s0JVIcClX8Oe7w1+P5UhwKIRrc51sycLO3YkhL4++j3FREeDkx4+4EAEouVZNTWoW1\npQVOtlrc7K3l1r4ZkeJQqCIpwBUbrQU7zhYZOxQhRBOTVVrNT0fyGJsUQJSXo7HDaZJc7Kxxsbu1\nbeeE6VBlQsrTTz/N4cOH1WhamAlrrQXtAl3Zm3VzM9iEEMJQFhzMR1HgrpbN5cI9MMgAACAASURB\nVGqVELdBleIwKiqKSZMm0a5dO2bMmEFJieyW0RT1CPPgRP5FzhZde/aaEEIYWnWtnm8PFNC5hRtd\n/7OdpxDi1qhSHE6YMIEtW7Ywb948MjIyiI+PZ8yYMaxfv16N7oSJ6hrijl6B1cfOGzsUIUQT8eOh\nXPIrLu+j7GwrE1GEuB2qrXOo0+k4duwYx44dw8PDg4SEBD744ANGjRqlVpfCxLQPckVroWFbhow7\nFEI0jM+3ZtDc0Yo7Y72NHYoQZkuVCSlPPvkkK1asICUlhRdeeIG2bdsC8NxzzxEZGalGl8IE2Vtr\naeXnQqqMOxRCNIAD2aVsPFXIxFYetHCzN3Y4QpgtVYrDuLg4/vnPf2Jvf/Uf586dO9XoUpionmEe\nvL/xFOfLqvBykk3vhRDq+XjzaWy1FtwR7iqL7wtRDwYtDlNTUwFITEzk2LFjVz3funVrXFxkf8um\npGuoG2+vP8lvJ/K5t42/scMRQjRS+RerWJCaxZ3RXsT7yNqqQtSHQYvDp5566rrPaTQa1q1bZ8ju\nhBnoFOyGBth8ulCKQyGEamZuP0NVrZ5RrfyQXdmEqB+D/gmtX78evV7Ptm3b6NSpkyGbFmbKxc6K\nOB8n9mbJckZCCHVU1+r5fEsGHYKa0T3UnerSQmOHJIRZM/hsZQsLCx577DFDNyvMWI8wDw7klFFy\nqcbYoQghGqHFB7LJLq1iVKIvHo4ytlmI+lJlKZuUlBSWLFmCoihqNC/MTPdQd6pq9aw5kW/sUIQQ\njYyiKHyw8TSBzewYKMvXCGEQqhSHX3zxBXfffTc2NjY4Ozvj5OSEs7OzGl0JM9C5hRsAG0/JrR4h\nhGGtPnaePZkljE3yJ1iWrxHCIFQZtltWVqZGs8JMeTraEOnpIOMOhRAGpSgKr/52Ah8nG0Yk+Mry\nNUIYiGpzuoqKikhLS6OysrLuZ127dlWrO2Hiuod58M2eTC5W1uAoW1oJIQxg7YkCdpwt5vmeYcR4\ny/I1QhiKKreVv/zyS7p27Urfvn155ZVX6Nu3L9OmTVOjK2EmeoS6U16tY21agbFDEUI0Aoqi8Nqa\nE3g7WjM83gcLC7lqKIShqFIcfvzxx+zatYugoCDWr1/P3r17cXV1VaMrYSZ6hHkA8LsUh0IIA9h4\nqpA/0i9wf1IACX6yuYIQhqRKcWhra4utrS0AVVVVREVFcfz4cYO0vXr1aiIjIwkLC+Ott9666vmq\nqipGjhxJWFgY7dq1IyMjwyD9ivrxcrIh2tuRneeKjR2KEMLMKYrCi6uO4eFgzehWvljKVUMhDEqV\n4tDf35/i4mKGDBlC7969GTx4MEFBQfVuV6fTMXnyZFatWsWRI0f47rvvOHLkyBXHfPXVVzRr1oyT\nJ08yZcoUnnvuuXr3KwyjT4Qn+7NKKaqoNnYoQggztuRADlszini4QxAJvnLVUAhDU6U4XLZsGa6u\nrkybNo3XX3+dBx98kB9//LHe7e7cuZOwsDBCQkKwtrZm1KhRLF++/Ipjli9fztixYwEYPnw4v//+\nu6y3aCJSwj2o0ulZdey8sUMRQpipyhodz/1ylDAPe8YmBchYQyFUoNps5T/++IO0tDTGjRtHfn4+\nWVlZtGjRol5tZmVlERAQUPfY39+fHTt2XPcYrVaLi4sLhYWFeHh4XHHczJkzmTlzJgC5ublkZ2fX\nK7abkZ/ftBeBjrDXYamBlfvP0L15/b+XNPV8qklyqx7Jbf28vzWb04UVvJPij31NCdnZVy+RJTlW\nj+RWPaaUW1WKw1dffZXdu3dz/Phxxo0bR01NDffeey9btmypV7vXugL4v+ta3cwxAJMmTWLSpEkA\nJCUl4evrW6/YblZD9WOqEv3SOVhYY7A8NPV8qklyqx7J7e05llfGpzvz6B/lyYPdY3Gzt77usZJj\n9Uhu1WMquVXttvKKFStwcHAALv+yhlgY29/fn3PnztU9zszMvCqRfz2mtraWkpIS3Nzc6t23MIw+\nkZ4czi0jp7Ty7w8WQoj/qNHpGbtwH7ZaC/5fl5AbFoZCiPpRpTi0trZGo9HUXbErLy83SLvJycmk\npaWRnp5OdXU1CxcuZNCgQVccM2jQIObOnQvA4sWL6dmzp6yab0J6hXuiU2D5oVxjhyKEMCOv/XaC\nnWeLeaFXGD3DPf7+BUKI26ZKcThixAgeeughiouLmTVrFr169WLixIn1bler1fLpp5/St29foqOj\nGTFiBLGxsbz88susWLECgAcffJDCwkLCwsL44IMPrrncjTCeDsHNsLa0YPPpC8YORQhhJlYcyuWN\n39MYGOPNg20D0Vqq8tElhPgPVcYc2tjY0KtXL5ydnTl+/DivvfYavXv3NkjbAwYMYMCAAVf87LXX\nXqv7f1tbWxYtWmSQvoTh2VlZ0iGoGTvPFaEoilzVFULc0L6sEu5ZkEq0lyPT+kTg4Whj7JCEaPRU\n+fqVl5fH888/z5kzZ+jVqxe9evVSoxthpvpHe3GyoIKD2aXGDkUIYcIO5pTSa8Y2HGy0vDcwhtYB\nstOWEA1BleLwn//8J2lpaTz44IPMmTOH8PBwXnjhBU6dOqVGd8LM3BnjDcCiAzlGjkQIYap+P5FP\n18+2YKHR8MWwlvSL8jJ2SEI0GaoN3NBoNDRv3pzmzZuj1WopKipi+PDhPPvss2p1KcxEjLcj/i62\nbDpdaOxQhBAmpqpWx0urjtF31g7c7a35ckQCA2ObyxAUIRqQKmMOp0+fzty5c/Hw8GDChAm8++67\nWFlZodfrCQ8P55133lGjW2EmNBoNd8Z4M2fXOUov1eBsZ2XskIQQRlZyqYZv92bx9rqTnCm6xJ3R\nXkxNCaNTC3djhyZEk6NKcVhQUMDSpUuv2k/ZwsKCn3/+WY0uhZkZGOvNjG1nWHYol7HJAX//AiGE\n2dHrFQrKq6ms1VFVq6/7r6yqlrKqWgrLazhZWM6OM0VsTr9AVa2euOZOfHZXHKNa+clahkIYiSrF\n4V9nD/+v6OhoNboUZqZHmAe2WgtWHs0zieJQr1dIKyjnRP5FnG21xHo7yaxIIW7Rsbwyfj5yns3p\nhZzILyf9QgVVtfobvsZCA2HuDtzVsjl9IzzpHemJr4tdA0UshLgW1fZWFuJG7Kws6Rbqzpb0IvR6\nPRYWxlm3TK9XmL3rHO+uP8nx/P8u1q610HBHtBfvDIwhwtPRKLEJYQ70eoWlB3N4d8Mpdp4tBiCw\nmR2hbvYkB7jS3MkGG60F1pYWWFtqsNZaYG9lib21JW721oR5OODlaI2rnZWMKxTCREhxKIxmcFxz\nfj2ez5aMIrqENPy4otzSSu79di+/pxUQ7eXICylhhHs4UFmrZ2vGBZYdzCX+3Y28PziGyZ1aNHh8\nQpi67WeKmLz0IKmZJQQ2s2NK1xB6R3iQFOCKh4O1FHtCmCkpDoXR3BF9eWmKJQdyGrw4PFVQTp+Z\n28kuqeTFlDAe6hBEQDP7uucf7hjM2QsVjPomlceWHuJc0SXeujOmQWMUwlTV6vRM++0Eb/6ehoe9\nNa/3i2R0Kz9C3O2lIBSiEZDiUBhNYDN7or0cG3xJm7NFFXT7fCsXq2r5Yng8o1r5Ya29+rZ2oJs9\nmyZ3ZMS8Pby9/hQutlY83yu8QWMVwtQUVVRz97w9/J5WwMAYb57rGUqHIDcsLKQoFKKxkA0qhVGN\nSPRlX1YpR/PKGqS/oopq+s7cQcmlGmYMi+eeNv7XLAz/pLW0YNHYJPpEePLS6mMslYW7RROWV1ZF\n50+3sPFUIa/0juDrkQl0auEuhaEQjYwUh8KoRib6ogCzd55VvS+9XuGeBXs5WVDO+4NiGJ7gg+VN\nfKhZWmhY+kAS4R4OjP9+H+eKLqkeqxCmJq+sip7/3kr6hQo+HRrHcylhMqNfiEZKikNhVNHeTkR7\nObLmRIHqff1zbRqrjp3n6e6h3JcUgNby5t/+DjZalo1LprJWz/B5u1EURcVIhTAt5/9TGJ4urOCj\nwbGMbxeInZWlscMSQqhEikNhdKNb+7Evu5SDOSWq9bHjTBGvrTlB/ygvnujS4rY+2KK9nXhvYDQ7\nzxbzwcbTKkQphOkpr6ql36ztnPqzMGwbiNUtfLESQpgf+QsXRjemlR8AM7aeUaX98qpa7vt2L54O\n1rzQK4zmzra33dajHVvQNsCV1347QVaxed5ertXpySmtJKvkEnq9XAEV16fXK9z77V72Z5fy9h3R\njGsbeEtX3IUQ5kn+yoXRhXo40DG4GT8fOY9ef+PdFG7Hsz8fJa2gnGl9IugU7FavtiwsNMwdnUhF\njY7Hlh0yUIQNY9OpQobN2YXLi6vxfXUN/q+txfGFlQybs4sNJ9W/rS/Mz0urj/HjoVymdA1hQrvA\nG07eEkI0HrKUjTAJE9sFMe77fSw/nMfQlj4Ga/fXY+f5fGsGY1r5cW8bf4OswRbl7cTDHYL4fGsG\nW9Iv0KlF/QpOtRWWVzNp0X6WHszFzd6K/lGehHs4AJBWUM7vJwtYejCXAVFefD0qEW8nmWQgYMGe\nTP71+0mGxjXnuR6hONjIx4UQTYX8tQuTMDzBh0eXHuDrHWcNVhxeqKhm3Pf7CHGz5/kUw364vdov\nknl7MnlqxWG2Pd7ZZBf+PZBdysCvdpJTVsmjHYN4sG0gCX4uV8zSvlhZw8u/HufzLWeIe3cDy8cl\nEyz1YZN2/PxFHlp8gNZ+zrw5IApPp9sfiiGEMD9yj0CYBEcbLfcn+fPriXzOFFXUuz1FUXh0yUHO\nX6zmtX6RxPm4GCDK/3Kzt2Zanwh2nC1mwZ4sg7ZtKLvOFtP9861U1ur4akQC7w2KpXWA61XL9zja\nWvHB4Dg2P9YRG60FKTO2sT5dvclBwrRV1ugYNX8PWgsN/+wfRZS3k7FDEkI0MCkOhcmY0jWUGp3C\nv9am1butb1Oz+H5fNpPaBzK0ZXMDRHe1yZ1aENTMjld+PU5NrU6VPm7Xsbwy+s3ajp2VBbPuTuCe\n1v5/O0M7ObAZu/9fFwJc7Rj34ynWHD/fQNEKU/Lsz0fZl13KtD4R9I30MnY4QggjkOJQmIxIL0d6\nhXuw+EAOF6tqb7udMxcqmLz0IAm+zkzpGoK9tTqjJ6y1FnwwKIbTFyp4d4PpLG2Tf7GK/rN2APD5\nsJYMjPW+6R0smjvbsu3xzvg4WTF0zm5SM4vVDFWYmBWHcvnkj3RGt/JlQvsg2flEiCZKikNhUl7q\nHU5hRQ2v/Xbitl6v0yuMXbiPWr3Ca30jCfd0NHCEVxra0ofWfi5M33yainoUtIZSq9Mzan4q2aWV\nfDgoljtjmt/yeEh3B2sWj4jE3sqSQV/v4kJ5lUrRClNyrugS477fR5SXI6/0icRRJqAI0WRJcShM\nSrdQD7qFujNrxxmKK2pu+fXvbTjFxlOFPN0tlL5RnipEeCWNRsN7g2LIu1jNa2tur6A1pNfWnGDd\nyQKm9gxjRKLvTW0PeC1+ztYseyCZvLIqhszeLeshNnK1Oj33fJtKZY2eN/tHEeml7pcqIYRpk+JQ\nmJx374yh+FItU1YcvqXXbThZwIurjpES7sFDHQKx0TbM9l49wjzoGuLGF9tvr6A1lN3ninnz95Pc\nEe3FY51bYFvP7c06hbjx7sBoNqdf4JmfjhgoSmGK/rk2jc2nLzC1ZxiD4tQZoyuEMB9SHAqTkxzo\nyr2t/Zi/+xx/nC68qddkXKhgxLw9BLjYMq1PBD4udipHeaV3B14uaF9afaxB+/1TVa2OB77bh5ud\nFVN7huPpaJi1aJ7oEsLweB8+3HSaFYdzDdKmMC0bThbw+poT//lSEXzbV5uFEI2HFIfCJH1yV0ua\n2Vsz9rt9lFy68dW4vLIqen+xjapaPe8NjKFziHsDRflfbQObcUe0F3N2nSOvtLLB+3/ttxMczivj\nxV7hdGrRzGDtajSXd4QJdrNn4g/7Kbgo4w8bk4KLVdyzIBV/Fzte6RNBM3trY4ckhDABUhwKk+Rq\nZ8W397TmTPEl+s3cTnXttbfVO1VQTrfPtpBZXMlHg2MZbMRbYm/fGUNFtY7nfjnaoP3uPlfM2+tP\nMTDGmwfbBRp8QW57ay2Lx7ahsKKGMQtSURQZf9gYKIrCuO/3k19ezZsDokgONNyXCiGEeZPiUJis\n3pGefDo0ju1ni0n6aBMnC8rrntPrFb4/VEC7jzeTW1bFJ0PjuKeNP1pL472lY5s7MSLRl4V7s0kv\nrP9C3jfjr7eTX+oVptoM09b+rvxf73DWnCjg8y0ZqvQhGtb0zen8fCSPJzq3YFi84basFEKYP7Mp\nDi9cuEDv3r0JDw+nd+/eFBUVXfM4S0tLEhMTSUxMZNCgQQ0cpTC0hzsGM3d0IqcLK4j41zo6TP+D\nQV/txPfVNTz56xn8XOz4emQC49oGYq01/tv5XwOi0SkKz/x0a5Npbtdfbye3DVJ3j+cXU8Jp4+/C\n1F+OcuovhbowP7vPFfPMz0foEuLGE13rP3lJCNG4GP/T9Ca99dZbpKSkkJaWRkpKCm+99dY1j7Oz\ns2Pfvn3s27ePFStWNHCUQg33JwVw8OluTGgXyMWqWo6eLyPex4mXu/iwYnwyd8Xf/pIthtbC3Z5x\nyQH8eDiPw7mlqvb119vJ49sGqtoXgNbSgh/ub4NegZHz98jyNmaqqKKau+fuxs3emld6R+Dvam/s\nkIQQJsZsisPly5czduxYAMaOHcuPP/5o5IhEQ2rh7sDMEQkceLobh5/pwcqJ7XiorS9Bbqb3wfZq\nv0i0FhqeXqHe8i9/3k52t7dias8wnGwbZsHiEHcHPhoSy57MEv7PSDOzxe3T6xXGfrePzJJK3h4Q\nRY8wD2OHJIQwQWazBH5eXh4+PpfHxfj4+HD+/LX3fa2srCQpKQmtVsvUqVMZMmTINY+bOXMmM2fO\nBCA3N5fs7Gx1Av+L/Px81ftoSkw5n+MSPJix5zyLth2lU5CLwdt/648sDueV8WYPP4KsLxn8/Xuj\n3A4I0JLSwpl315+ik7cliT6yYPKtMOb79vOdufx0JI/JSZ509taQm5tjtFjUZMrnBnMnuVWPKeXW\npIrDXr16kZt79Vpqb7zxxk23cfbsWXx9fTl9+jQ9e/akZcuWhIaGXnXcpEmTmDRpEgBJSUn4+vre\nfuC3oKH6aSpMNZ9v3+XJ4mPreGVTLgefiTLobe/d54r5fFceA2O8ebhnnGrLj9wotwsf8CDq7fX8\n49dzHH6mu4xZu0XGeN/+euw8//oji17hHjzfPwE/14ZdC7Shmeq5oTGQ3KrHVHJrUreV165dy6FD\nh676b/DgwXh7e5OTc/lbbk5ODl5eXtds48/EhoSE0L17d/bu3dtg8QvxJ2dbKz4YFMPR8xd5f+Mp\ng7VbUV3L/d/txd3eiqe7hRptXToPRxvmjWnF6cIKJi3ab5QYxM07klvGiPl7CHN34PV+UY2+MBRC\n1I9JFYc3MmjQIObOnQvA3LlzGTx48FXHFBUVUVV1eZHegoICtmzZQkxMTIPGKcSf7m3jT3KAK2+u\nTTPY4tFP/3SEo3kXeaVPBJ1D1J2d/HcGRHszqX0g8/dksWS/+sMyxO0puFjFwK93YmWh4YNBMbQP\nlvUMhRA3ZjbF4dSpU1mzZg3h4eGsWbOGqVOnArB7924mTJgAwNGjR0lKSiIhIYEePXowdepUKQ6F\n0Wg0Gr4ckUBZVS2PLDlY7/ZWHMrl31vPcF8bP8a09sfCBGZofzQkjnAPBx78YX+Dre0obl5FdS1D\nZu8is/gS7w+MoV+0t7FDEkKYAZMac3gj7u7u/P7771f9PCkpiS+//BKAjh07cvBg/T+EhTCUeF9n\nHu4QzOdbM1h2MIehLW9vseGc0koe/GE/kZ4OTOkagqudlYEjvT12Vpb8PKEtrT/YxKCvd7JnSleT\nWG9SQGWNjiGzd7HtTBFv9o9iZCs/k1nySQhh2uQsLoTK3hsUQ4i7PQ8tOsD5slu/vVxdq2fk/D2U\nVdXyRv8oWvm7qhDl7YvwdOTLuxM4lFvGhB9k/KEpqK7Vc/e8Paw5UcDLvSN4tJMsdC2EuHlSHAqh\nMjsrSxbfn0RJZQ13fLmDGt2194m+FkVReHjxATafvsDLvcO5M9Y0bwuOau3Hwx2CmL8nk+mbTxs7\nnCbtUo2OkfP38PORPKb2COXxLi0abB1MIUTjIMWhEA2glb8L/x4Wz+7MEsZ8k3pTu4soisKTKw4z\ne9c5JrYL5NFOLbDRmu7Vn+lD4+jSwo0pyw+zaF+WscNpkgrLq+k1YxvLD+XyTPdQnukZZrQZ7UII\n8yXFoRANZHy7QJ7uHsLiAzmM+Sb1hlcQq2v1PLT4AB9tSmd0oi/T+kaYzDjD67GytGDlxHZEezly\n37f72HCywNghNSmnC8vp9Mkf7D5XzL/uiOLFXuG4SWEohLgNUhwK0YDeuTOGKV1D+H5/Nm0/2szR\nvLKrjknNLKbLZ1uYtf0s45IDeGdgNL4u5rEunaONlvWPdsTb2YZBX+9iW8YFY4fUJCzen03rDzaR\nU1rFZ3e15B+dW+Bi4l8mhBCmSwaiCNGANBoNHwyOJba5E0/8eIjYdzbQI8ydDsFu1OoUtmRc4I/0\nCzSzs+JfA6J4qEOQ2d0W9HS0Y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = Prophet(weekly_seasonality=False)\n", "m.add_seasonality(name='monthly', period=30.5, fourier_order=5)\n", "forecast = m.fit(df).predict(future)\n", "m.plot_components(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modeling Holidays and Special Events\n", "If you have holidays or other recurring events that you'd like to model, you must create a dataframe for them. It has two columns (`holiday` and `ds`) and a row for each occurrence of the holiday. It must include all occurrences of the holiday, both in the past (back as far as the historical data go) and in the future (out as far as the forecast is being made). If they won't repeat in the future, Prophet will model them and then not include them in the forecast.\n", "\n", "You can also include columns `lower_window` and `upper_window` which extend the holiday out to `[lower_window, upper_window]` days around the date. For instance, if you wanted to included Christmas Eve in addition to Christmas you'd include `lower_window=-1,upper_window=0`. If you wanted to use Black Friday in addition to Thanksgiving, you'd include `lower_window=0,upper_window=1`. You can also include a column `prior_scale` to set the prior scale separately for each holiday, as described below.\n", "\n", "Here we create a dataframe that includes the dates of all of Peyton Manning's playoff appearances:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "playoffs = pd.DataFrame({\n", " 'holiday': 'playoff',\n", " 'ds': pd.to_datetime(['2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "superbowls = pd.DataFrame({\n", " 'holiday': 'superbowl',\n", " 'ds': pd.to_datetime(['2010-02-07', '2014-02-02', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "holidays = pd.concat((playoffs, superbowls))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "output_hidden": true }, "outputs": [], "source": [ "%%R\n", "library(dplyr)\n", "playoffs <- data_frame(\n", " holiday = 'playoff',\n", " ds = as.Date(c('2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "superbowls <- data_frame(\n", " holiday = 'superbowl',\n", " ds = as.Date(c('2010-02-07', '2014-02-02', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "holidays <- bind_rows(playoffs, superbowls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we have include the superbowl days as both playoff games and superbowl games. This means that the superbowl effect will be an additional additive bonus on top of the playoff effect.\n", "\n", "Once the table is created, holiday effects are included in the forecast by passing them in with the `holidays` argument. Here we do it with the Peyton Manning data from the Quickstart:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "m = Prophet(holidays=holidays)\n", "forecast = m.fit(df).predict(future)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|============================================== | 86% ~0 s remaining \r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays)\n", "forecast <- predict(m, future)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effect can be seen in the `forecast` dataframe:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ " ds playoff superbowl\n", "17 2014-02-02 1.226064 1.197367\n", "18 2014-02-03 1.903705 1.455035\n", "19 2015-01-11 1.226064 0.000000\n", "20 2015-01-12 1.903705 0.000000\n", "21 2016-01-17 1.226064 0.000000\n", "22 2016-01-18 1.903705 0.000000\n", "23 2016-01-24 1.226064 0.000000\n", "24 2016-01-25 1.903705 0.000000\n", "25 2016-02-07 1.226064 1.197367\n", "26 2016-02-08 1.903705 1.455035\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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dsplayoffsuperbowl
21902014-02-021.2266791.192500
21912014-02-031.9112941.373781
25322015-01-111.2266790.000000
25332015-01-121.9112940.000000
29012016-01-171.2266790.000000
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.226679 1.192500\n", "2191 2014-02-03 1.911294 1.373781\n", "2532 2015-01-11 1.226679 0.000000\n", "2533 2015-01-12 1.911294 0.000000\n", "2901 2016-01-17 1.226679 0.000000\n", "2902 2016-01-18 1.911294 0.000000\n", "2908 2016-01-24 1.226679 0.000000\n", "2909 2016-01-25 1.911294 0.000000\n", "2922 2016-02-07 1.226679 1.192500\n", "2923 2016-02-08 1.911294 1.373781" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effects will also show up in the components plot, where we see that there is a spike on the days around playoff appearances, with an especially large spike for the superbowl:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "output_hidden": true }, "outputs": [ { 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11GNJqqxKi37f7MW6E5fxao9QvPsgyx8R0T/1DPfAxgntkDqlEx6M8MC3+7MQ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\nSktLyc7OxsrKisTERExNTUlLS2Po0KGkpKQQFRXF22+/Tf/+/cnPz2f79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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m.plot_components(forecast);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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f/jh+26KiV6/pNKyLptOZYVS2ZjAqWzOxOiq7kXaUOl9bdeiLHeUju6XdPzCr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\nzlann1f2bHG1Btt4L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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "prophet_plot_components(m, forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Individual holidays can be plotted using the `plot_forecast_component` method (Python) or function (R). For example, `m.plot_forecast_component(forecast, 'superbowl')` in Python and `plot_forecast_component(forecast, 'superbowl')` in R to plot just the superbowl holiday component." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prior scale for holidays and seasonality\n", "If you find that the holidays are overfitting, you can adjust their prior scale to smooth them using the parameter `holidays_prior_scale`. By default this parameter is 10, which provides very little regularization. Reducing this parameter dampens holiday effects:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative change in objective function was below tolerance\n", "\r", "|====================================== | 71% ~1 s remaining \r", "|============================================== | 86% ~0 s remaining \r", "|======================================================|100% ~0 s remaining ds playoff superbowl\n", "17 2014-02-02 1.204637 0.9667315\n", "18 2014-02-03 1.861227 0.9152529\n", "19 2015-01-11 1.204637 0.0000000\n", "20 2015-01-12 1.861227 0.0000000\n", "21 2016-01-17 1.204637 0.0000000\n", "22 2016-01-18 1.861227 0.0000000\n", "23 2016-01-24 1.204637 0.0000000\n", "24 2016-01-25 1.861227 0.0000000\n", "25 2016-02-07 1.204637 0.9667315\n", "26 2016-02-08 1.861227 0.9152529\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays, holidays.prior.scale = 0.05)\n", "forecast <- predict(m, future)\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.200631 0.957093\n", "2191 2014-02-03 1.841906 0.979777\n", "2532 2015-01-11 1.200631 0.000000\n", "2533 2015-01-12 1.841906 0.000000\n", "2901 2016-01-17 1.200631 0.000000\n", "2902 2016-01-18 1.841906 0.000000\n", "2908 2016-01-24 1.200631 0.000000\n", "2909 2016-01-25 1.841906 0.000000\n", "2922 2016-02-07 1.200631 0.957093\n", "2923 2016-02-08 1.841906 0.979777" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(holidays=holidays, holidays_prior_scale=0.05).fit(df)\n", "forecast = m.predict(future)\n", "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnitude of the holiday effect has been reduced compared to before, especially for superbowls, which had the fewest observations. There is a parameter `seasonality_prior_scale` which similarly adjusts the extent to which the seasonality model will fit the data.\n", "\n", "Prior scales can be set separately for individual holidays by including a column `prior_scale` in the holidays dataframe. Prior scales for individual seasonalities can be passed as an argument to `add_seasonality`. For instance, the prior scale for just weekly seasonality can be set using:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "m = Prophet()\n", "m.add_seasonality(\n", " name='weekly', period=7, fourier_order=3, prior_scale=0.1);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "%%R\n", "m <- prophet()\n", "m <- add_seasonality(\n", " m, name='weekly', period=7, fourier.order=3, prior.scale=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Additional regressors\n", "Additional regressors can be added to the linear part of the model using the `add_regressor` method or function. A column with the regressor value will need to be present in both the fitting and prediction dataframes. For example, we can add an additional effect on Sundays during the NFL season. On the components plot, this effect will show up in the 'extra_regressors' plot:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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BhGjPb4dGOYvxf8ScpAKqsx+/Twf4Ooq+GhQ0q4vvkpNZcT8lvhKheKurr4KHnzOAs/Cm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U2iWFhYkOCa/IHHlZuvFT1YPkjVJO38uxKe1S49LU5eFOqA3zxfnVQnV8XsSv3XINHMdiYxJUde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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "nfl_sunday <- function(ds) {\n", " dates <- as.Date(ds)\n", " month <- as.numeric(format(dates, '%m'))\n", " as.numeric((weekdays(dates) == \"Sunday\") & (month > 8 | month < 2))\n", "}\n", "df$nfl_sunday <- nfl_sunday(df$ds)\n", "\n", "m <- prophet()\n", "m <- add_regressor(m, 'nfl_sunday')\n", "m <- fit.prophet(m, df)\n", "\n", "future$nfl_sunday <- nfl_sunday(future$ds)\n", "\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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OYsvJcqRNjENrW2upSzMpVfVqDPx0NzLPVOCtgWF4ukcQWlnxHxZEZLlUTjb4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radG9ZG5KR2WNHbHjczsuGx7BACNsZySTkiIqLnsACkMjVj5wUcTriLzzpZ4W17k1Jf4k2hUGBC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\npSyufyJ1E30K+OrVq4iJicGIESPg5+dnfT87O1vsrDs+9oCK4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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def nfl_sunday(ds):\n", " date = pd.to_datetime(ds)\n", " if date.weekday() == 6 and (date.month > 8 or date.month < 2):\n", " return 1\n", " else:\n", " return 0\n", "df['nfl_sunday'] = df['ds'].apply(nfl_sunday)\n", "\n", "m = Prophet()\n", "m.add_regressor('nfl_sunday')\n", "m.fit(df)\n", "\n", "future['nfl_sunday'] = future['ds'].apply(nfl_sunday)\n", "\n", "forecast = m.predict(future)\n", "m.plot_components(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NFL Sundays could also have been handled using the \"holidays\" interface described above, by creating a list of past and future NFL Sundays. The `add_regressor` function provides a more general interface for defining extra linear regressors, and in particular does not require that the regressor be a binary indicator. Another time series could be used as a regressor, although its future values would have to be known. The regressor cannot be constant in the training data; fitting will exit with an error if it is.\n", "\n", "The `add_regressor` function has optional arguments for specifying the prior scale (holiday prior scale is used by default) and whether or not the regressor is standardized - see the docstring with `help(Prophet.add_regressor)` in Python and `?add_regressor` in R." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }