From a937ceda18b8de768548942d4c4385df539c2fc8 Mon Sep 17 00:00:00 2001 From: bl Date: Sat, 2 Sep 2017 11:05:51 -0700 Subject: [PATCH] Documentation for saturating minimums --- notebooks/forecasting_growth.ipynb | 253 ---------------------- notebooks/saturating_forecasts.ipynb | 312 +++++++++++++++++++++++++++ 2 files changed, 312 insertions(+), 253 deletions(-) delete mode 100644 notebooks/forecasting_growth.ipynb create mode 100644 notebooks/saturating_forecasts.ipynb diff --git a/notebooks/forecasting_growth.ipynb b/notebooks/forecasting_growth.ipynb deleted file mode 100644 index ec4fd41..0000000 --- a/notebooks/forecasting_growth.ipynb +++ /dev/null @@ -1,253 +0,0 @@ -{ - "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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\nY8e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- "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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\nFoFAMGPhUtlufr5Ytn369OkHU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Kc9HCxkGwAAAPUEnxMOAAAAqCeQcAAAAADnkHAAAAAA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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 -} diff --git a/notebooks/saturating_forecasts.ipynb b/notebooks/saturating_forecasts.ipynb new file mode 100644 index 0000000..cb6e9d4 --- /dev/null +++ b/notebooks/saturating_forecasts.ipynb @@ -0,0 +1,312 @@ +{ + "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 logging\n", + "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", + "import warnings\n", + "warnings.filterwarnings(\"ignore\")" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "block_hidden": true + }, + "outputs": [], + "source": [ + "%%R\n", + "library(prophet)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Forecasting Growth\n", + "\n", + "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": {}, + "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": {}, + "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": { + "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": { + "output_hidden": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "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": { + "output_hidden": true + }, + "outputs": [ + { + "data": { + "image/png": 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hBeTn7TfLN+KDLe1YsrY+dXwgP0NXLq7A4vJ6vLS+EQIywp4pYp/Moyt34arn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\niIiIiMiEATIRERERkcn/B59HNLxcp7ffAAAAAElFTkSuQmCC\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": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\r", + "|======================================================|100% ~0 s remaining " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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FPUW58DCz2ewBAwbQXaw+zNkV0ubm5tu3b9OH9ezZE8MwSjbqYS6UYgAwJDXG8mHm8/lK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\nDo5gDkd1MKRSSXl5uYeHh6I4efLkWp545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+ }, + "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);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Saturating Minimum\n", + "\n", + "The logistic growth model can also handle a saturating minimum, which is specified with a column `floor` in the same way as the `cap` column specifies the maximum:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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OIyIiItJWunyA3F78exhEVxbrwaex3ZccvF1STEN90/KGaDTK8nAhEA+O40Fs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Ec+hzJzKSLG3QBvxx7A2c308u18BkhMV3i9XiSOHottm9Px5qqdjmZ1KvDGtxvhr3Mv9nD1jbch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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['y'] = 10 - df['y']\n", + "df['cap'] = 6\n", + "df['floor'] = 1.5\n", + "future['cap'] = 6\n", + "future['floor'] = 1.5\n", + "m = Prophet(growth='logistic')\n", + "m.fit(df)\n", + "fcst = m.predict(future)\n", + "m.plot(fcst);" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Initial log joint probability = -157.241\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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mP35989yPy//vv//kWWfcFzmAoMiDEEJIOaWxAUcX906QZQCAWGxhXfXLH3jx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EB8AR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\nlQdBEF9BmUymQMsApaWlNi1KpbKqqiogw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+ }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R -w 10 -h 6 -u in\n", + "df$y <- 10 - df$y\n", + "df$cap <- 6\n", + "df$floor <- 1.5\n", + "future$cap <- 6\n", + "future$floor <- 1.5\n", + "m <- prophet(df, growth = 'logistic')\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": 1 +}