{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true, "collapsed": false }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true, "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/lib/python2.7/dist-packages/rpy2/rinterface/__init__.py:186: RRuntimeWarning: Loading required package: Rcpp\n", "\n", " warnings.warn(x, RRuntimeWarning)\n" ] } ], "source": [ "%%R\n", "library(prophet)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, Prophet uses a linear model for its forecast. When forecasting growth, there is usually some maximum achievable point: total market size, total population size, etc. This is called the carrying capacity, and the forecast should saturate at this point.\n", "\n", "Prophet allows you to make forecasts using a [logistic growth](https://en.wikipedia.org/wiki/Logistic_function) trend model, with a specified carrying capacity. We illustrate this with the log number of page visits to the [R (programming language)](https://en.wikipedia.org/wiki/R_%28programming_language%29) page on Wikipedia:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "df = pd.read_csv('../examples/example_wp_R.csv')\n", "import numpy as np\n", "df['y'] = np.log(df['y'])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%%R\n", "df <- read.csv('../examples/example_wp_R.csv')\n", "df$y <- log(df$y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We must specify the carrying capacity in a column `cap`. Here we will assume a particular value, but this would usually be set using data or expertise about the market size." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "df['cap'] = 8.5" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "df$cap <- 8.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The important things to note are that `cap` must be specified for every row in the dataframe, and that it does not have to be constant. If the market size is growing, then `cap` can be an increasing sequence.\n", "\n", "We then fit the model as before, except pass in an additional argument to specify logistic growth:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(growth='logistic')\n", "m.fit(df)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "STAN OPTIMIZATION COMMAND (LBFGS)\n", "init = user\n", "save_iterations = 1\n", "init_alpha = 0.001\n", "tol_obj = 1e-12\n", "tol_grad = 1e-08\n", "tol_param = 1e-08\n", "tol_rel_obj = 10000\n", "tol_rel_grad = 1e+07\n", "history_size = 5\n", "seed = 625631580\n", "initial log joint probability = -67.9808\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, growth = 'logistic')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We make a dataframe for future predictions as before, except we must also specify the capacity in the future. Here we keep capacity constant at the same value as in the history, and forecast 3 years into the future:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "output_hidden": true }, "outputs": [ { "data": { "image/png": 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nkqRpxciyEcArkJ3Fc44IUw1uL+iyKtvt7XQ8t21x1V4AZ80LM4WQE+31emit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u0NrrEkWebY08/S26AXVIkaFShNpwwBZOflxYdPNY1IuIkVdYuTzt2JyJerrOfyknmUTZzi2l+Y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\n4FBG9ycAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "future = m.make_future_dataframe(periods=1826)\n", "future['cap'] = 8.5\n", "fcst = m.predict(future)\n", "m.plot(fcst);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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yf/9+i5arF88BLAKA2NhYejuTxQKAvLw8w2e/YNAbZoI1rzxHbvy5/Ycf9ue2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F9f3549ew4bNqy4uLiup8PA8K3DGBwK6NKly4sXLy5fvvz+/XsbGxsVz8rJyVm0aNGQIUM2b95M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\nSDgAAACAc/8PQSo39widUIUAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "future <- make_future_dataframe(m, periods = 1826)\n", "future$cap <- 8.5\n", "fcst <- predict(m, future)\n", "plot(m, fcst);" ] } ], "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": 0 }