{ "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\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%%R\n", "library(prophet)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default Prophet fits additive seasonalities, meaning the effect of the seasonality is added to the trend to get the forecast. This time series of the number of air passengers is an example of when additive seasonality does not work:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -50.465\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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fpd0XqTBRaT/bBUGoMJAuP8fHYurM/5ylpj5z+qT2BUFo7R9wmOi0n4q5vGnSD1ZZ6BZv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\nFbDMTkpuVqklUcrLrTApuJLazwn4ngBAod4WK2Q3+R1j6k2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8+XKr1VpcXGyx1IRonXv0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LW4PZ6vj5Uny8kSM313D9VtXSJ8NwWvX5KcLDLQkAz5+fknT57s3bs3kDWRjdYj2KEVn6RY3Tq7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\nYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "df <- read.csv('../examples/example_air_passengers.csv')\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, 50, freq = 'm')\n", "forecast <- predict(m, future)\n", "plot(m, forecast)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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TloGB4mh/tn1RT2uoryqQG35IpLnluscgIxZCCCHEbWFiYoKTJ0/ieR62bXP69GmOHz++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\nrkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.read_csv('../examples/example_air_passengers.csv')\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(50, freq='MS')\n", "forecast = m.predict(future)\n", "m.plot(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This time series has a clear yearly cycle, but the seasonality in the forecast is too large at the start of the time series and too small at the end. In this time series, the seasonality is not a constant additive factor as assumed by Prophet, rather it grows with the trend. This is multiplicative seasonality.\n", "\n", "Prophet can model multiplicative seasonality by setting `seasonality_mode='multiplicative'` in the input arguments:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -50.465\n", "Optimization terminated normally: \n", " Convergence detected: absolute parameter change was below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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xb0Z1vPZaSzDgQAih+a93SKpcfjYu8lMEkXN6vsFWt5EKADAUydMOVzfPqY2X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Y37evfufSKz8FCu8GRBLJlCadiIVQhy7uSxI3t20On02v7vDI32YXOdd566lnbkAJ3BGDwq5daN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\nTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "m <- prophet(df, seasonality.mode = 'multiplicative')\n", "forecast <- predict(m, future)\n", "plot(m, forecast)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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o4Iev5/Hrt05CbQnEzgbtERuZTLaerf1zy9ctePDXZgvC6li5nYwtFkRERLvA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\nm0nbzjVI/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ElIsQ7UQDYASd0i25f+fsSSJLFg3lyGjp3CwlG5aV9PEARBEM4lbQGybdvc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\n/wP4h8pA+EfjqQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = Prophet(seasonality_mode='multiplicative')\n", "m.fit(df)\n", "forecast = m.predict(future)\n", "fig = m.plot(forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The components figure will now show the seasonality as a percent of the trend:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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9D+ajR48ajcannnrK1ZLIyMioqakpKCiora0dN24cj8fruuh6SVRUlOsfKpWq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\nbnDKDGaxkcW2npiHzdJ15coVgUCwc+fOlpaWpqYmmUy2devWa9eumb5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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 6 -u in\n", "prophet_plot_components(m, forecast);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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z29R4psWHMiMpnLHRwUSYfTWMRsTD9SkA3nnnnUyfPt21Lt+rr77K+PHj+6s2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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = m.plot_components(forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With `seasonality_mode='multiplicative'`, holiday effects will also be modeled as multiplicative. Any added seasonalities or extra regressors will by default use whatever `seasonality_mode` is set to, but can be overriden by specifying `mode='additive'` or `mode='multiplicative'` as an argument when adding the seasonality or regressor.\n", "\n", "For example, this block sets the built-in seasonalities to multiplicative, but includes an additive quarterly seasonality and an additive regressor:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "%%R\n", "m <- prophet(seasonality.mode = 'multiplicative')\n", "m <- add_seasonality(m, 'quarterly', period = 91.25, fourier.order = 8, mode = 'additive')\n", "m <- add_regressor(m, 'regressor', mode = 'additive')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(seasonality_mode='multiplicative')\n", "m.add_seasonality('quarterly', period=91.25, fourier_order=8, mode='additive')\n", "m.add_regressor('regressor', mode='additive')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Additive and multiplicative extra regressors will show up in separate panels on the components plot." ] } ], "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 }