{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PV Forecasting Benchmark\n", "\n", "Example created by Wilson Rocha Lacerda Junior\n", "\n", "> **Looking for more details on NARMAX models?**\n", "> For comprehensive information on models, methods, and a wide range of examples and benchmarks implemented in SysIdentPy, check out our book:\n", "> [*Nonlinear System Identification and Forecasting: Theory and Practice With SysIdentPy*](https://sysidentpy.org/book/0%20-%20Preface/)\n", ">\n", "> This book provides in-depth guidance to support your work with SysIdentPy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Note\n", "\n", "The following example is **not** intended to say that one library is better than another. The main focus of these examples is to show that SysIdentPy can be a good alternative for people looking to model time series.\n", "\n", "We will compare the results obtained against **neural prophet** library.\n", "\n", "For the sake of brevity, from **SysIdentPy** only the **MetaMSS**, **AOLS** and **FROLS** (with polynomial base function) methods will be used. See the SysIdentPy documentation to learn other ways of modeling with the library." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "We will compare a 1-step ahead forecaster on solar irradiance data (that can be a proxy for solar PV production). The config of the neuralprophet model was taken from the neuralprophet documentation (https://neuralprophet.com/html/example_links/energy_data_example.html)\n", "\n", "The training will occur on 80% of the data, reserving the last 20% for the validation.\n", "\n", "Note: the data used in this example can be found in neuralprophet github." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from warnings import simplefilter\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from sysidentpy.model_structure_selection import FROLS, AOLS, MetaMSS\n", "from sysidentpy.basis_function import Polynomial\n", "from sysidentpy.parameter_estimation import LeastSquares\n", "from sysidentpy.utils.plotting import plot_results\n", "from sysidentpy.metrics import mean_squared_error\n", "\n", "from neuralprophet import NeuralProphet\n", "from neuralprophet import set_random_seed\n", "\n", "simplefilter(\"ignore\", FutureWarning)\n", "np.seterr(all=\"ignore\")\n", "\n", "%matplotlib inline\n", "\n", "loss = mean_squared_error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FROLS" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2204.333646698544\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "raw = pd.read_csv(\n", " \"https://raw.githubusercontent.com/wilsonrljr/sysidentpy-data/refs/heads/main/datasets/san_francisco_pv_ghi/SanFrancisco_PV_GHI.csv\"\n", ")\n", "df = pd.DataFrame()\n", "df[\"ds\"] = pd.date_range(\"1/1/2015 1:00:00\", freq=str(60) + \"Min\", periods=8760)\n", "df[\"y\"] = raw.iloc[:, 0].values\n", "\n", "df_train, df_val = df.iloc[:7008, :], df.iloc[7008:, :]\n", "\n", "y = df[\"y\"].values.reshape(-1, 1)\n", "y_train = df_train[\"y\"].values.reshape(-1, 1)\n", "y_test = df_val[\"y\"].values.reshape(-1, 1)\n", "\n", "x_train = df_train[\"ds\"].dt.hour.values.reshape(-1, 1)\n", "x_test = df_val[\"ds\"].dt.hour.values.reshape(-1, 1)\n", "\n", "basis_function = Polynomial(degree=1)\n", "sysidentpy = FROLS(\n", " order_selection=True,\n", " ylag=24,\n", " xlag=24,\n", " info_criteria=\"bic\",\n", " basis_function=basis_function,\n", " model_type=\"NARMAX\",\n", " estimator=LeastSquares(),\n", ")\n", "\n", "sysidentpy.fit(X=x_train, y=y_train)\n", "x_test = np.concatenate([x_train[-sysidentpy.max_lag :], x_test])\n", "y_test = np.concatenate([y_train[-sysidentpy.max_lag :], y_test])\n", "\n", "yhat = sysidentpy.predict(X=x_test, y=y_test, steps_ahead=1)\n", "sysidentpy_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy.max_lag :]),\n", " pd.Series(yhat.flatten()[sysidentpy.max_lag :]),\n", ")\n", "print(sysidentpy_loss)\n", "\n", "plot_results(y=y_test[-104:], yhat=yhat[-104:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MetaMSS" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2157.7700127350877\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "raw = pd.read_csv(\n", " \"https://raw.githubusercontent.com/wilsonrljr/sysidentpy-data/refs/heads/main/datasets/san_francisco_pv_ghi/SanFrancisco_PV_GHI.csv\"\n", ")\n", "df = pd.DataFrame()\n", "df[\"ds\"] = pd.date_range(\"1/1/2015 1:00:00\", freq=str(60) + \"Min\", periods=8760)\n", "df[\"y\"] = raw.iloc[:, 0].values\n", "\n", "df_train, df_val = df.iloc[:7008, :], df.iloc[7008:, :]\n", "\n", "y = df[\"y\"].values.reshape(-1, 1)\n", "y_train = df_train[\"y\"].values.reshape(-1, 1)\n", "y_test = df_val[\"y\"].values.reshape(-1, 1)\n", "\n", "x_train = df_train[\"ds\"].dt.hour.values.reshape(-1, 1)\n", "x_test = df_val[\"ds\"].dt.hour.values.reshape(-1, 1)\n", "\n", "basis_function = Polynomial(degree=1)\n", "estimator = LeastSquares()\n", "sysidentpy_metamss = MetaMSS(\n", " basis_function=basis_function,\n", " xlag=24,\n", " ylag=24,\n", " estimator=estimator,\n", " maxiter=10,\n", " steps_ahead=1,\n", " n_agents=15,\n", " loss_func=\"metamss_loss\",\n", " model_type=\"NARMAX\",\n", " random_state=42,\n", ")\n", "sysidentpy_metamss.fit(X=x_train, y=y_train)\n", "x_test = np.concatenate([x_train[-sysidentpy_metamss.max_lag :], x_test])\n", "y_test = np.concatenate([y_train[-sysidentpy_metamss.max_lag :], y_test])\n", "\n", "yhat = sysidentpy_metamss.predict(X=x_test, y=y_test, steps_ahead=1)\n", "metamss_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy_metamss.max_lag :]),\n", " pd.Series(yhat.flatten()[sysidentpy_metamss.max_lag :]),\n", ")\n", "print(metamss_loss)\n", "\n", "plot_results(y=y_test[-104:], yhat=yhat[-104:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AOLS" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2361.561682547365\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "raw = pd.read_csv(\n", " \"https://raw.githubusercontent.com/wilsonrljr/sysidentpy-data/refs/heads/main/datasets/san_francisco_pv_ghi/SanFrancisco_PV_GHI.csv\"\n", ")\n", "df = pd.DataFrame()\n", "df[\"ds\"] = pd.date_range(\"1/1/2015 1:00:00\", freq=str(60) + \"Min\", periods=8760)\n", "df[\"y\"] = raw.iloc[:, 0].values\n", "\n", "df_train, df_val = df.iloc[:7008, :], df.iloc[7008:, :]\n", "\n", "y = df[\"y\"].values.reshape(-1, 1)\n", "y_train = df_train[\"y\"].values.reshape(-1, 1)\n", "y_test = df_val[\"y\"].values.reshape(-1, 1)\n", "\n", "x_train = df_train[\"ds\"].dt.hour.values.reshape(-1, 1)\n", "x_test = df_val[\"ds\"].dt.hour.values.reshape(-1, 1)\n", "basis_function = Polynomial(degree=1)\n", "sysidentpy_AOLS = AOLS(\n", " ylag=24, xlag=24, k=2, L=1, model_type=\"NARMAX\", basis_function=basis_function\n", ")\n", "sysidentpy_AOLS.fit(X=x_train, y=y_train)\n", "x_test = np.concatenate([x_train[-sysidentpy_AOLS.max_lag :], x_test])\n", "y_test = np.concatenate([y_train[-sysidentpy_AOLS.max_lag :], y_test])\n", "\n", "yhat = sysidentpy_AOLS.predict(X=x_test, y=y_test, steps_ahead=1)\n", "aols_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy_AOLS.max_lag :]),\n", " pd.Series(yhat.flatten()[sysidentpy_AOLS.max_lag :]),\n", ")\n", "print(aols_loss)\n", "\n", "\n", "plot_results(y=y_test[-104:], yhat=yhat[-104:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neural Prophet" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: nprophet - fit: Parts of code may break if using other than daily data.\n", "INFO: nprophet.utils - set_auto_seasonalities: Disabling yearly seasonality. Run NeuralProphet with yearly_seasonality=True to override this.\n", "INFO: nprophet.config - set_auto_batch_epoch: Auto-set batch_size to 32\n", "INFO: nprophet.config - set_auto_batch_epoch: Auto-set epochs to 7\n", " 87%|████████▋ | 87/100 [00:00<00:00, 644.82it/s]\n", "INFO: nprophet - _lr_range_test: learning rate range test found optimal lr: 1.23E-01\n", "Epoch[7/7]: 100%|██████████| 7/7 [00:02<00:00, 2.58it/s, SmoothL1Loss=0.00415, MAE=58.8, RegLoss=0.0112]\n", "INFO: nprophet - _evaluate: Validation metrics: SmoothL1Loss MAE\n", "1 0.003 48.746\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "4642.234763049609\n" ] } ], "source": [ "set_random_seed(42)\n", "\n", "raw = pd.read_csv(\n", " \"https://raw.githubusercontent.com/wilsonrljr/sysidentpy-data/refs/heads/main/datasets/san_francisco_pv_ghi/SanFrancisco_PV_GHI.csv\"\n", ")\n", "df = pd.DataFrame()\n", "df[\"ds\"] = pd.date_range(\"1/1/2015 1:00:00\", freq=str(60) + \"Min\", periods=8760)\n", "df[\"y\"] = raw.iloc[:, 0].values\n", "\n", "m = NeuralProphet(\n", " n_lags=24,\n", " ar_sparsity=0.5,\n", " # num_hidden_layers = 2,\n", " # d_hidden=20,\n", ")\n", "metrics = m.fit(df, freq=\"H\", valid_p=0.2)\n", "\n", "df_train, df_val = m.split_df(df, valid_p=0.2)\n", "m.test(df_val)\n", "\n", "future = m.make_future_dataframe(df_val, n_historic_predictions=True)\n", "forecast = m.predict(future)\n", "# fig = m.plot(forecast)\n", "print(loss(forecast[\"y\"][24:-1], forecast[\"yhat1\"][24:-1]))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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