{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial for AutoSARIMA Forecasting Model\n", "\n", "This notebook provides an advanced example on how to use the Auto Sarima forecasting model.\n", "\n", "AutoSARIMA runs in 4 settings:\n", "1. Full AutoSARIMA with approximation \n", "2. Full AutoSARIMA without approximation\n", "3. Partial AutoSARIMA (Predefined AR, MA, Seasonal AR, Seasonal MA hyper-parameters)\n", "4. Autosarima without enforcing stationarity and invertibility (this is the default setting) \n", "\n", "Example codes are provided for both cases below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prepare dataset" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 414/414 [00:00<00:00, 650.30it/s]\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "700 points in train split, 48 points in test split.\n" ] } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import norm\n", "import logging\n", "\n", "from merlion.utils.time_series import TimeSeries\n", "from merlion.evaluate.forecast import ForecastMetric\n", "from merlion.models.automl.autosarima import AutoSarima, AutoSarimaConfig\n", "from merlion.models.forecast.sarima import Sarima\n", "\n", "from ts_datasets.forecast import M4\n", "\n", "logging.basicConfig(level=logging.INFO)\n", "\n", "time_series, metadata = M4(\"Hourly\")[0]\n", "train_data = TimeSeries.from_pd(time_series[metadata.trainval])\n", "test_data = TimeSeries.from_pd(time_series[~metadata.trainval])\n", "\n", "# Visualize the time series and draw a dotted line to indicate the train/test split\n", "fig = plt.figure(figsize=(10, 6))\n", "ax = fig.add_subplot(111)\n", "ax.plot(time_series)\n", "ax.axvline(metadata[metadata.trainval].index[-1], ls=\"--\", lw=\"2\", c=\"k\")\n", "plt.show()\n", "\n", "# Print the length of training data and test data\n", "print(f\"{len(train_data)} points in train split, \"\n", " f\"{len(test_data)} points in test split.\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train a full AutoSarima model with approximation (suggested)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is 24\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n", "INFO:merlion.models.automl.autosarima:Fitting models using approximations(approx_iter is 1) to speed things up\n", "INFO:merlion.models.automl.autosarima:Best model: SARIMA(2,0,3)(1,1,1)[24] without constant\n" ] } ], "source": [ "# Specify the configuration of AutoSarima with approximation\n", "#\n", "# p, q, P, Q refer to the AR, MA, seasonal AR, and seasonal MA params, so\n", "# auto_pqPQ=True (default) means select them automatically\n", "#\n", "# d is the difference order, and D is the seasonal difference order, so\n", "# auto_d=True (default) and auto_D=True (default) means select them automatically\n", "#\n", "# auto_seasonality=True (default) means to automatically select the seasonality\n", "config1 = AutoSarimaConfig(auto_pqPQ=True, auto_d=True, auto_D=True, auto_seasonality=True,\n", " approximation=True, maxiter=5)\n", "model1 = AutoSarima(config1)\n", "\n", "# Model training\n", "train_pred, train_err = model1.train(\n", " train_data, train_config={\"enforce_stationarity\": True,\"enforce_invertibility\": True})" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full AutoSarima with approximation sMAPE is 3.4736\n" ] } ], "source": [ "# Model forecasting\n", "forecast1, stderr1 = model1.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape1 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast1)\n", "print(f\"Full AutoSarima with approximation sMAPE is {smape1:.4f}\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model1.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train a full AutoSarima model without approximation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is 24\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n", "INFO:merlion.models.automl.autosarima:Best model: SARIMA(2,0,3)(1,1,1)[24] without constant\n" ] } ], "source": [ "# Specify the configuration of full AutoSarima without approximation\n", "# Note that the default values of all the auto_* parameters are True\n", "config2 = AutoSarimaConfig(approximation=False, maxiter=5)\n", "model2 = AutoSarima(config2)\n", "\n", "# Model training\n", "train_pred, train_err = model2.train(\n", " train_data, train_config={\"enforce_stationarity\": True,\"enforce_invertibility\": True})" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Full AutoSarima without approximation sMAPE is 3.6991\n" ] } ], "source": [ "# Model forecasting\n", "forecast2, stderr2 = model2.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape2 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast2)\n", "print(f\"Full AutoSarima without approximation sMAPE is {smape2:.4f}\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model2.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train a partial autosarima model\n", "\n", "Here, the user has pre-defined the AR, MA, Seasonal AR, and Seasonal MA hyper-parameters." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is 24\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n" ] } ], "source": [ "# Specify the configuration of partial AutoSarima \n", "# We explicitly specify values of p, q, P, Q in the order and seasonal order,\n", "# and we set auto_pqPQ=False.\n", "# Because auto_d=True, auto_D=True, and auto_seasonality=True by default, we\n", "# can specify arbitrary values for them in the order and seasonal order (e.g. \"auto\")\n", "config3 = AutoSarimaConfig(auto_pqPQ=False, order=(15, \"auto\", 5),\n", " seasonal_order=(2, \"auto\", 1, \"auto\"), maxiter=5)\n", "model3 = AutoSarima(config3)\n", "\n", "# Model training\n", "train_pred, train_err = model3.train(\n", " train_data, train_config={\"enforce_stationarity\": True,\"enforce_invertibility\": True})" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Partial AutoSarima without approximation sMAPE is 3.5288\n" ] } ], "source": [ "# Model forecasting\n", "forecast3, stderr3 = model3.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape3 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast3)\n", "print(f\"Partial AutoSarima without approximation sMAPE is {smape3:.4f}\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model3.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Train without enforcing stationarity and invertibility (default)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:merlion.models.automl.seasonality:Automatically detect the periodicity is 24\n", "INFO:merlion.models.automl.autosarima:Seasonal difference order is 1\n", "INFO:merlion.models.automl.autosarima:Difference order is 0\n", "INFO:merlion.models.automl.autosarima:Fitting models using approximations(approx_iter is 1) to speed things up\n", "INFO:merlion.models.automl.autosarima:Best model: SARIMA(5,0,1)(2,1,0)[24] without constant\n" ] } ], "source": [ "# Specify the configuration of AutoSarima without enforcing stationarity and invertibility\n", "config4 = AutoSarimaConfig(approximation=True, maxiter=5)\n", "model4 = AutoSarima(config4)\n", "\n", "# Model training\n", "train_pred, train_err = model4.train(\n", " train_data, train_config={\"enforce_stationarity\": False,\"enforce_invertibility\": False})" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AutoSarima without enforcing stationarity and invertibility sMAPE is 4.2063\n" ] } ], "source": [ "# Model forecasting\n", "forecast4, stderr4 = model4.forecast(len(test_data))\n", "\n", "# Model evaluation\n", "smape4 = ForecastMetric.sMAPE.value(ground_truth=test_data, predict=forecast4)\n", "print(f\"AutoSarima without enforcing stationarity and invertibility sMAPE is {smape4:.4f}\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the groud truth, actual forecast and confidence interval \n", "fig, ax = model4.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 4 }