prophet/notebooks/multiplicative_seasonality.ipynb
2022-06-25 20:31:18 +10:00

300 lines
355 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"block_hidden": true
},
"outputs": [],
"source": [
"%load_ext rpy2.ipython\n",
"%matplotlib inline\n",
"\n",
"from prophet import Prophet\n",
"from matplotlib import pyplot as plt\n",
"import logging\n",
"import pandas as pd\n",
"import numpy as np\n",
"import warnings\n",
"\n",
"logging.getLogger('prophet').setLevel(logging.ERROR)\n",
"logging.getLogger('numexpr').setLevel(logging.ERROR)\n",
"warnings.filterwarnings(\"ignore\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"block_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"R[write to console]: Loading required package: Rcpp\n",
"\n",
"R[write to console]: Loading required package: rlang\n",
"\n"
]
}
],
"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": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"R[write to console]: Disabling weekly seasonality. Run prophet with weekly.seasonality=TRUE to override this.\n",
"\n",
"R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
},
{
"data": {
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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 10 -h 6 -u in\n",
"df <- read.csv('https://raw.githubusercontent.com/facebook/prophet/main/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": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df = pd.read_csv('https://raw.githubusercontent.com/facebook/prophet/main/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",
"fig = 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": 4,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"R[write to console]: Disabling weekly seasonality. Run prophet with weekly.seasonality=TRUE to override this.\n",
"\n",
"R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
},
{
"data": {
"image/png": 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\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": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"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": 5,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 6 -u in\n",
"prophet_plot_components(m, forecast)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x432 with 2 Axes>"
]
},
"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": 6,
"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": 5,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"<prophet.forecaster.Prophet at 0x7fd258219d30>"
]
},
"execution_count": 5,
"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",
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"Additive and multiplicative extra regressors will show up in separate panels on the components plot. Note, however, that it is pretty unlikely to have a mix of additive and multiplicative seasonalities, so this will generally only be used if there is a reason to expect that to be the case."
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