{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] } ], "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", "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": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: Loading required package: Rcpp\n", "\n", " warnings.warn(x, RRuntimeWarning)\n" ] }, { "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.\n", "\n", "As an example, here we fit the Peyton Manning data from the Quickstart, but replace the weekly seasonality with monthly seasonality:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] }, { "data": { "image/png": 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XwcvRCkona/QLdmt4/9rWvxB3O/g528DR2gJ2lnKDPYBoRJQXRkR54beMK5i97S+89dtp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kNqEu1uhXY2Jth2iUPLRERErRWLQy2z8lQufk3NR0IXD4yNdNWqTaclEglGh7ngZE458is4tExE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\nJ+cAAAAASUVORK5CYII=\n", "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": "code", "execution_count": 4, "metadata": {}, "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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c6u9Hx3QPkttknw+8b/HLzcpXfrm9clT0gAi2fDbCPWaHwT1mh8E95jZo271n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}, "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": "markdown", "metadata": {}, "source": [ "### Modeling Holidays\n", "If you have holidays 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`.\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": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: \n", "Attaching package: ‘dplyr’\n", "\n", "\n", " warnings.warn(x, RRuntimeWarning)\n", "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: The following objects are masked from ‘package:stats’:\n", "\n", " filter, lag\n", "\n", "\n", " warnings.warn(x, RRuntimeWarning)\n", "/usr/local/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: The following objects are masked from ‘package:base’:\n", "\n", " intersect, setdiff, setequal, union\n", "\n", "\n", " warnings.warn(x, RRuntimeWarning)\n" ] } ], "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": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] } ], "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" ] }, "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 1.227333 1.190688\n", "18 2014-02-03 1.902392 1.468285\n", "19 2015-01-11 1.227333 0.000000\n", "20 2015-01-12 1.902392 0.000000\n", "21 2016-01-17 1.227333 0.000000\n", "22 2016-01-18 1.902392 0.000000\n", "23 2016-01-24 1.227333 0.000000\n", "24 2016-01-25 1.902392 0.000000\n", "25 2016-02-07 1.227333 1.190688\n", "26 2016-02-08 1.902392 1.468285\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
21902014-02-021.2232141.213315
21912014-02-031.9063701.412192
25322015-01-111.2232140.000000
25332015-01-121.9063700.000000
29012016-01-171.2232140.000000
29022016-01-181.9063700.000000
29082016-01-241.2232140.000000
29092016-01-251.9063700.000000
29222016-02-071.2232141.213315
29232016-02-081.9063701.412192
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.223214 1.213315\n", "2191 2014-02-03 1.906370 1.412192\n", "2532 2015-01-11 1.223214 0.000000\n", "2533 2015-01-12 1.906370 0.000000\n", "2901 2016-01-17 1.223214 0.000000\n", "2902 2016-01-18 1.906370 0.000000\n", "2908 2016-01-24 1.223214 0.000000\n", "2909 2016-01-25 1.906370 0.000000\n", "2922 2016-02-07 1.223214 1.213315\n", "2923 2016-02-08 1.906370 1.412192" ] }, "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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3ozX+eLwbnukVgp8OlSB2/lYcKJLn2V6FlfXouWQnDhVXY8FdkXi2dxjLHxHR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hYmfD0gkK4+9vcdtalSqfighw8zunnx24lsxm08I5eDa6ljl64zZeMx2jWxYUL7JjLXnxC1nJwB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\n67OH2Nra0rJlS+3o2SkpKYSEhADX38SGDh1KSEgIrVu35pNPP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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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48eLoP17nXdnBSp2+B7/IK3V4P7irS5tkpRZTi7R7ZH+RY+Sn+yZfkfVQrmYr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\nm7w5w+w/GOc0+eCD7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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": [ "### 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`, which by default is 10:" ] }, { "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 gradient magnitude is below tolerance\n", " ds playoff superbowl\n", "17 2014-02-02 1.315141 0.7989651\n", "18 2014-02-03 1.987399 0.6608394\n", "19 2015-01-11 1.315141 0.0000000\n", "20 2015-01-12 1.987399 0.0000000\n", "21 2016-01-17 1.315141 0.0000000\n", "22 2016-01-18 1.987399 0.0000000\n", "23 2016-01-24 1.315141 0.0000000\n", "24 2016-01-25 1.987399 0.0000000\n", "25 2016-02-07 1.315141 0.7989651\n", "26 2016-02-08 1.987399 0.6608394\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays, holidays.prior.scale = 1)\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": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:fbprophet.forecaster:Disabling daily seasonality. Run prophet with daily_seasonality=True to override this.\n" ] }, { "data": { "text/html": [ "
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dsplayoffsuperbowl
21902014-02-021.3309500.703795
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.330950 0.703795\n", "2191 2014-02-03 1.991491 0.557307\n", "2532 2015-01-11 1.330950 0.000000\n", "2533 2015-01-12 1.991491 0.000000\n", "2901 2016-01-17 1.330950 0.000000\n", "2902 2016-01-18 1.991491 0.000000\n", "2908 2016-01-24 1.330950 0.000000\n", "2909 2016-01-25 1.991491 0.000000\n", "2922 2016-02-07 1.330950 0.703795\n", "2923 2016-02-08 1.991491 0.557307" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(holidays=holidays, holidays_prior_scale=1).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." ] } ], "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 }