saturating_forecasts.ipynb (prophet-0.7) | : | saturating_forecasts.ipynb (prophet-1.0) | ||
---|---|---|---|---|
{ | { | |||
"cells": [ | "cells": [ | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 1, | "execution_count": 1, | |||
"metadata": { | "metadata": { | |||
"block_hidden": true | "block_hidden": true | |||
}, | }, | |||
"outputs": [ | "outputs": [], | |||
{ | ||||
"name": "stderr", | ||||
"output_type": "stream", | ||||
"text": [ | ||||
"/usr/local/lib/python3.7/site-packages/fbprophet-0.6.1.dev0-py3.7.egg/fbp | ||||
rophet/diagnostics.py:10: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm | ||||
` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyt | ||||
er console)\n", | ||||
" from tqdm.autonotebook import tqdm\n" | ||||
] | ||||
} | ||||
], | ||||
"source": [ | "source": [ | |||
"%load_ext rpy2.ipython\n", | "%load_ext rpy2.ipython\n", | |||
"%matplotlib inline\n", | "%matplotlib inline\n", | |||
"from fbprophet import Prophet\n", | "from prophet import Prophet\n", | |||
"import pandas as pd\n", | "import pandas as pd\n", | |||
"import logging\n", | "import logging\n", | |||
"logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", | "logging.getLogger('prophet').setLevel(logging.ERROR)\n", | |||
"import warnings\n", | "import warnings\n", | |||
"warnings.filterwarnings(\"ignore\")" | "warnings.filterwarnings(\"ignore\")" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 2, | "execution_count": 2, | |||
"metadata": { | "metadata": { | |||
"block_hidden": true | "block_hidden": true | |||
}, | }, | |||
skipping to change at line 67 | skipping to change at line 58 | |||
"### Forecasting Growth\n", | "### Forecasting Growth\n", | |||
"\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 sh ould saturate at this point.\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 sh ould saturate at this point.\n", | |||
"\n", | "\n", | |||
"Prophet allows you to make forecasts using a [logistic growth](https://en.w ikipedia.org/wiki/Logistic_function) trend model, with a specified carrying capa city. We illustrate this with the log number of page visits to the [R (programmi ng language)](https://en.wikipedia.org/wiki/R_%28programming_language%29) page o n Wikipedia:" | "Prophet allows you to make forecasts using a [logistic growth](https://en.w ikipedia.org/wiki/Logistic_function) trend model, with a specified carrying capa city. We illustrate this with the log number of page visits to the [R (programmi ng language)](https://en.wikipedia.org/wiki/R_%28programming_language%29) page o n Wikipedia:" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 3, | "execution_count": 3, | |||
"metadata": { | "metadata": {}, | |||
"collapsed": true | ||||
}, | ||||
"outputs": [], | "outputs": [], | |||
"source": [ | "source": [ | |||
"%%R\n", | "%%R\n", | |||
"df <- read.csv('../examples/example_wp_log_R.csv')" | "df <- read.csv('../examples/example_wp_log_R.csv')" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 4, | "execution_count": 2, | |||
"metadata": { | "metadata": {}, | |||
"collapsed": true | ||||
}, | ||||
"outputs": [], | "outputs": [], | |||
"source": [ | "source": [ | |||
"df = pd.read_csv('../examples/example_wp_log_R.csv')" | "df = pd.read_csv('../examples/example_wp_log_R.csv')" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "markdown", | "cell_type": "markdown", | |||
"metadata": {}, | "metadata": {}, | |||
"source": [ | "source": [ | |||
"We must specify the carrying capacity in a column `cap`. Here we will assum e a particular value, but this would usually be set using data or expertise abou t the market size." | "We must specify the carrying capacity in a column `cap`. Here we will assum e a particular value, but this would usually be set using data or expertise abou t the market size." | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 5, | "execution_count": 4, | |||
"metadata": { | "metadata": {}, | |||
"collapsed": true | ||||
}, | ||||
"outputs": [], | "outputs": [], | |||
"source": [ | "source": [ | |||
"%%R\n", | "%%R\n", | |||
"df$cap <- 8.5" | "df$cap <- 8.5" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 6, | "execution_count": 3, | |||
"metadata": { | "metadata": {}, | |||
"collapsed": true | ||||
}, | ||||
"outputs": [], | "outputs": [], | |||
"source": [ | "source": [ | |||
"df['cap'] = 8.5" | "df['cap'] = 8.5" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "markdown", | "cell_type": "markdown", | |||
"metadata": {}, | "metadata": {}, | |||
"source": [ | "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", | "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", | "\n", | |||
"We then fit the model as before, except pass in an additional argument to s pecify logistic growth:" | "We then fit the model as before, except pass in an additional argument to s pecify logistic growth:" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 7, | "execution_count": 5, | |||
"metadata": { | "metadata": { | |||
"output_hidden": true | "output_hidden": true | |||
}, | }, | |||
"outputs": [ | "outputs": [ | |||
{ | { | |||
"data": { | "name": "stderr", | |||
"text/plain": [ | "output_type": "stream", | |||
"Initial log joint probability = -19.9808\n", | "text": [ | |||
"Optimization terminated normally: \n", | "R[write to console]: Disabling daily seasonality. Run prophet with daily. | |||
" Convergence detected: relative gradient magnitude is below tolerance\n | seasonality=TRUE to override this.\n", | |||
" | "\n" | |||
] | ] | |||
}, | ||||
"metadata": {}, | ||||
"output_type": "display_data" | ||||
} | } | |||
], | ], | |||
"source": [ | "source": [ | |||
"%%R\n", | "%%R\n", | |||
"m <- prophet(df, growth = 'logistic')" | "m <- prophet(df, growth = 'logistic')" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 8, | "execution_count": 4, | |||
"metadata": { | "metadata": { | |||
"output_hidden": true | "output_hidden": true | |||
}, | }, | |||
"outputs": [ | "outputs": [ | |||
{ | { | |||
"name": "stderr", | ||||
"output_type": "stream", | ||||
"text": [ | ||||
"INFO:numexpr.utils:NumExpr defaulting to 8 threads.\n" | ||||
] | ||||
}, | ||||
{ | ||||
"data": { | "data": { | |||
"text/plain": [ | "text/plain": [ | |||
"<fbprophet.forecaster.Prophet at 0x7f52e797fb90>" | "<prophet.forecaster.Prophet at 0x7f14440461f0>" | |||
] | ] | |||
}, | }, | |||
"execution_count": 8, | "execution_count": 4, | |||
"metadata": {}, | "metadata": {}, | |||
"output_type": "execute_result" | "output_type": "execute_result" | |||
} | } | |||
], | ], | |||
"source": [ | "source": [ | |||
"m = Prophet(growth='logistic')\n", | "m = Prophet(growth='logistic')\n", | |||
"m.fit(df)" | "m.fit(df)" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "markdown", | "cell_type": "markdown", | |||
"metadata": {}, | "metadata": {}, | |||
"source": [ | "source": [ | |||
"We make a dataframe for future predictions as before, except we must also s pecify the capacity in the future. Here we keep capacity constant at the same va lue as in the history, and forecast 5 years into the future:" | "We make a dataframe for future predictions as before, except we must also s pecify the capacity in the future. Here we keep capacity constant at the same va lue as in the history, and forecast 5 years into the future:" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 9, | "execution_count": 6, | |||
"metadata": { | "metadata": { | |||
"output_hidden": true | "output_hidden": true | |||
}, | }, | |||
"outputs": [ | "outputs": [ | |||
{ | { | |||
"data": { | "data": { | |||
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}, | }, | |||
"metadata": {}, | "metadata": {}, | |||
"output_type": "display_data" | "output_type": "display_data" | |||
} | } | |||
], | ], | |||
"source": [ | "source": [ | |||
"%%R -w 10 -h 6 -u in\n", | "%%R -w 10 -h 6 -u in\n", | |||
"future <- make_future_dataframe(m, periods = 1826)\n", | "future <- make_future_dataframe(m, periods = 1826)\n", | |||
"future$cap <- 8.5\n", | "future$cap <- 8.5\n", | |||
"fcst <- predict(m, future)\n", | "fcst <- predict(m, future)\n", | |||
"plot(m, fcst)" | "plot(m, fcst)" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 10, | "execution_count": 5, | |||
"metadata": {}, | "metadata": {}, | |||
"outputs": [ | "outputs": [ | |||
{ | { | |||
"data": { | "data": { | |||
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"text/plain": [ | "text/plain": [ | |||
"<Figure size 720x432 with 1 Axes>" | "<Figure size 720x432 with 1 Axes>" | |||
] | ] | |||
}, | }, | |||
"metadata": {}, | "metadata": {}, | |||
"output_type": "display_data" | "output_type": "display_data" | |||
} | } | |||
], | ], | |||
"source": [ | "source": [ | |||
"future = m.make_future_dataframe(periods=1826)\n", | "future = m.make_future_dataframe(periods=1826)\n", | |||
skipping to change at line 239 | skipping to change at line 226 | |||
"source": [ | "source": [ | |||
"The logistic function has an implicit minimum of 0, and will saturate at 0 the same way that it saturates at the capacity. It is possible to also specify a different saturating minimum.\n", | "The logistic function has an implicit minimum of 0, and will saturate at 0 the same way that it saturates at the capacity. It is possible to also specify a different saturating minimum.\n", | |||
"\n", | "\n", | |||
"### Saturating Minimum\n", | "### Saturating Minimum\n", | |||
"\n", | "\n", | |||
"The logistic growth model can also handle a saturating minimum, which is sp ecified with a column `floor` in the same way as the `cap` column specifies the maximum:" | "The logistic growth model can also handle a saturating minimum, which is sp ecified with a column `floor` in the same way as the `cap` column specifies the maximum:" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 11, | "execution_count": 7, | |||
"metadata": { | "metadata": { | |||
"output_hidden": true | "output_hidden": true | |||
}, | }, | |||
"outputs": [ | "outputs": [ | |||
{ | { | |||
"data": { | "name": "stderr", | |||
"text/plain": [ | "output_type": "stream", | |||
"Initial log joint probability = -109.241\n", | "text": [ | |||
"Optimization terminated normally: \n", | "R[write to console]: Disabling daily seasonality. Run prophet with daily. | |||
" Convergence detected: relative gradient magnitude is below tolerance\n | seasonality=TRUE to override this.\n", | |||
" | "\n" | |||
] | ] | |||
}, | ||||
"metadata": {}, | ||||
"output_type": "display_data" | ||||
}, | }, | |||
{ | { | |||
"data": { | "data": { | |||
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}, | }, | |||
"metadata": {}, | "metadata": {}, | |||
"output_type": "display_data" | "output_type": "display_data" | |||
} | } | |||
], | ], | |||
"source": [ | "source": [ | |||
"%%R -w 10 -h 6 -u in\n", | "%%R -w 10 -h 6 -u in\n", | |||
"df$y <- 10 - df$y\n", | "df$y <- 10 - df$y\n", | |||
"df$cap <- 6\n", | "df$cap <- 6\n", | |||
"df$floor <- 1.5\n", | "df$floor <- 1.5\n", | |||
"future$cap <- 6\n", | "future$cap <- 6\n", | |||
"future$floor <- 1.5\n", | "future$floor <- 1.5\n", | |||
"m <- prophet(df, growth = 'logistic')\n", | "m <- prophet(df, growth = 'logistic')\n", | |||
"fcst <- predict(m, future)\n", | "fcst <- predict(m, future)\n", | |||
"plot(m, fcst)" | "plot(m, fcst)" | |||
] | ] | |||
}, | }, | |||
{ | { | |||
"cell_type": "code", | "cell_type": "code", | |||
"execution_count": 12, | "execution_count": 6, | |||
"metadata": {}, | "metadata": {}, | |||
"outputs": [ | "outputs": [ | |||
{ | { | |||
"data": { | "data": { | |||
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"text/plain": [ | "text/plain": [ | |||
"<Figure size 720x432 with 1 Axes>" | "<Figure size 720x432 with 1 Axes>" | |||
] | ] | |||
}, | }, | |||
"metadata": {}, | "metadata": {}, | |||
"output_type": "display_data" | "output_type": "display_data" | |||
} | } | |||
], | ], | |||
"source": [ | "source": [ | |||
"df['y'] = 10 - df['y']\n", | "df['y'] = 10 - df['y']\n", | |||
skipping to change at line 327 | skipping to change at line 311 | |||
"language_info": { | "language_info": { | |||
"codemirror_mode": { | "codemirror_mode": { | |||
"name": "ipython", | "name": "ipython", | |||
"version": 3 | "version": 3 | |||
}, | }, | |||
"file_extension": ".py", | "file_extension": ".py", | |||
"mimetype": "text/x-python", | "mimetype": "text/x-python", | |||
"name": "python", | "name": "python", | |||
"nbconvert_exporter": "python", | "nbconvert_exporter": "python", | |||
"pygments_lexer": "ipython3", | "pygments_lexer": "ipython3", | |||
"version": "3.7.8" | "version": "3.8.3" | |||
} | } | |||
}, | }, | |||
"nbformat": 4, | "nbformat": 4, | |||
"nbformat_minor": 1 | "nbformat_minor": 1 | |||
} | } | |||
End of changes. 23 change blocks. | ||||
63 lines changed or deleted | 44 lines changed or added |