{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Air Passenger 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 using the **sktime** and **neural prophet** library.\n", "\n", "From sktime, the following models will be used:\n", "\n", "- AutoARIMA\n", "\n", "- BATS\n", "\n", "- TBATS\n", "\n", "- Exponential Smoothing\n", "\n", "- Prophet\n", "\n", "- AutoETS\n", "\n", "For the sake of brevity, from **SysIdentPy** only the **MetaMSS**, **AOLS**, **FROLS** (with polynomial base function) and **NARXNN** methods will be used. See the SysIdentPy documentation to learn other ways of modeling with the library." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\sktime\\datatypes\\_series\\_check.py:43: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " VALID_INDEX_TYPES = (pd.Int64Index, pd.RangeIndex, pd.PeriodIndex, pd.DatetimeIndex)\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\sktime\\datatypes\\_panel\\_check.py:45: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " VALID_INDEX_TYPES = (pd.Int64Index, pd.RangeIndex, pd.PeriodIndex, pd.DatetimeIndex)\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\sktime\\datatypes\\_panel\\_check.py:46: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " VALID_MULTIINDEX_TYPES = (pd.Int64Index, pd.RangeIndex)\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\sktime\\utils\\validation\\series.py:18: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " VALID_INDEX_TYPES = (pd.Int64Index, pd.RangeIndex, pd.PeriodIndex, pd.DatetimeIndex)\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\sktime\\forecasting\\base\\_fh.py:18: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " RELATIVE_TYPES = (pd.Int64Index, pd.RangeIndex)\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\sktime\\forecasting\\base\\_fh.py:19: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " ABSOLUTE_TYPES = (pd.Int64Index, pd.RangeIndex, pd.DatetimeIndex, pd.PeriodIndex)\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:7: FutureWarning: pandas.Int64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " from pandas import (to_datetime, Int64Index, DatetimeIndex, Period,\n", "c:\\Users\\wilso\\miniconda3\\envs\\neural_prophet\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:7: FutureWarning: pandas.Float64Index is deprecated and will be removed from pandas in a future version. Use pandas.Index with the appropriate dtype instead.\n", " from pandas import (to_datetime, Int64Index, DatetimeIndex, Period,\n" ] } ], "source": [ "from warnings import simplefilter\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import scipy.signal.signaltools\n", "\n", "\n", "def _centered(arr, newsize):\n", " # Return the center newsize portion of the array.\n", " newsize = np.asarray(newsize)\n", " currsize = np.array(arr.shape)\n", " startind = (currsize - newsize) // 2\n", " endind = startind + newsize\n", " myslice = [slice(startind[k], endind[k]) for k in range(len(endind))]\n", " return arr[tuple(myslice)]\n", "\n", "\n", "scipy.signal.signaltools._centered = _centered\n", "\n", "from sysidentpy.model_structure_selection import FROLS\n", "from sysidentpy.model_structure_selection import AOLS\n", "from sysidentpy.model_structure_selection import MetaMSS\n", "from sysidentpy.basis_function import Polynomial\n", "from sysidentpy.utils.plotting import plot_results\n", "from torch import nn\n", "\n", "# from sysidentpy.metrics import mean_squared_error\n", "from sysidentpy.neural_network import NARXNN\n", "\n", "from sktime.datasets import load_airline\n", "from sktime.forecasting.ets import AutoETS\n", "from sktime.forecasting.arima import ARIMA, AutoARIMA\n", "from sktime.forecasting.base import ForecastingHorizon\n", "from sktime.forecasting.exp_smoothing import ExponentialSmoothing\n", "from sktime.forecasting.fbprophet import Prophet\n", "from sktime.forecasting.tbats import TBATS\n", "from sktime.forecasting.bats import BATS\n", "\n", "# from sktime.forecasting.model_evaluation import evaluate\n", "from sktime.forecasting.model_selection import temporal_train_test_split\n", "from sktime.performance_metrics.forecasting import mean_squared_error\n", "from sktime.utils.plotting import plot_series\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": [ "## Air passengers data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "121 23\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23) # 23 samples for testing\n", "plot_series(y_train, y_test, labels=[\"y_train\", \"y_test\"])\n", "fh = ForecastingHorizon(y_test.index, is_relative=False)\n", "print(y_train.shape[0], y_test.shape[0])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Results\n", "\n", "| No. | Package | Mean Squared Error |\n", "| --- | ------- | ------------- |\n", "| 1 | SysIdentPy (Neural Model) | 316.54 |\n", "| 2 | SysIdentPy (MetaMSS) | 450.99 |\n", "| 3 | SysIdentPy (AOLS) | 476.64 |\n", "| 4 | NeuralProphet | 501.24 |\n", "| 5 | SysIdentPy (FROLS) | 805.95 |\n", "| 6 | Exponential Smoothing | 910.52 |\n", "| 7 | Prophet | 1186.00 |\n", "| 8 | AutoArima | 1714.47 |\n", "| 9 | Manual Arima | 2085.42 |\n", "| 10 | ETS | 2590.05 |\n", "| 11 | BATS | 7286.64 |\n", "| 12 | TBATS | 7448.43 |\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy FROLS" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\wilso\\Desktop\\projects\\GitHub\\sysidentpy\\sysidentpy\\model_structure_selection\\forward_regression_orthogonal_least_squares.py:619: UserWarning:\n", "\n", "n_info_values is greater than the maximum number of all regressors space considering the chosen y_lag, u_lag, and non_degree. We set as 14\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "805.9521186338106\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "\n", "basis_function = Polynomial(degree=1)\n", "sysidentpy = FROLS(\n", " order_selection=True,\n", " ylag=13, # the lags for all models will be 13\n", " basis_function=basis_function,\n", " model_type=\"NAR\",\n", ")\n", "sysidentpy.fit(y=y_train)\n", "y_test = np.concatenate([y_train[-sysidentpy.max_lag :], y_test])\n", "\n", "yhat = sysidentpy.predict(y=y_test, forecast_horizon=23)\n", "frols_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy.max_lag :]),\n", " pd.Series(yhat.flatten()[sysidentpy.max_lag :]),\n", ")\n", "print(frols_loss)\n", "\n", "plot_results(y=y_test[sysidentpy.max_lag :], yhat=yhat[sysidentpy.max_lag :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy AOLS" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "476.64996316992523\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "\n", "df_train, df_test = temporal_train_test_split(y, test_size=23)\n", "df_train = df_train.reset_index()\n", "df_train.columns = [\"ds\", \"y\"]\n", "df_train[\"ds\"] = pd.to_datetime(df_train[\"ds\"].astype(str))\n", "df_test = df_test.reset_index()\n", "df_test.columns = [\"ds\", \"y\"]\n", "df_test[\"ds\"] = pd.to_datetime(df_test[\"ds\"].astype(str))\n", "\n", "sysidentpy_AOLS = AOLS(\n", " ylag=13, k=2, L=1, model_type=\"NAR\", basis_function=basis_function\n", ")\n", "sysidentpy_AOLS.fit(y=y_train)\n", "y_test = np.concatenate([y_train[-sysidentpy_AOLS.max_lag :], y_test])\n", "\n", "yhat = sysidentpy_AOLS.predict(y=y_test, steps_ahead=None, forecast_horizon=23)\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", "plot_results(y=y_test[sysidentpy_AOLS.max_lag :], yhat=yhat[sysidentpy_AOLS.max_lag :])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy MetaMSS" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "450.992127624293\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "\n", "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "\n", "sysidentpy_metamss = MetaMSS(\n", " basis_function=basis_function, ylag=13, model_type=\"NAR\", test_size=0.17\n", ")\n", "sysidentpy_metamss.fit(y=y_train)\n", "\n", "y_test = np.concatenate([y_train[-sysidentpy_metamss.max_lag :], y_test])\n", "\n", "yhat = sysidentpy_metamss.predict(y=y_test, steps_ahead=None, forecast_horizon=23)\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(\n", " y=y_test[sysidentpy_metamss.max_lag :], yhat=yhat[sysidentpy_metamss.max_lag :]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy Neural NARX" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "316.54086775668776\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import torch\n", "\n", "torch.manual_seed(42)\n", "\n", "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=36)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "x_train = np.zeros_like(y_train)\n", "x_test = np.zeros_like(y_test)\n", "\n", "\n", "class NARX(nn.Module):\n", " def __init__(self):\n", " super().__init__()\n", " self.lin = nn.Linear(13, 20)\n", " self.lin2 = nn.Linear(20, 20)\n", " self.lin3 = nn.Linear(20, 20)\n", " self.lin4 = nn.Linear(20, 1)\n", " self.relu = nn.ReLU()\n", "\n", " def forward(self, xb):\n", " z = self.lin(xb)\n", " z = self.relu(z)\n", " z = self.lin2(z)\n", " z = self.relu(z)\n", " z = self.lin3(z)\n", " z = self.relu(z)\n", " z = self.lin4(z)\n", " return z\n", "\n", "\n", "narx_net = NARXNN(\n", " net=NARX(),\n", " ylag=13,\n", " model_type=\"NAR\",\n", " basis_function=Polynomial(degree=1),\n", " epochs=900,\n", " verbose=False,\n", " learning_rate=2.5e-02,\n", " optim_params={}, # optional parameters of the optimizer\n", ")\n", "\n", "narx_net.fit(y=y_train)\n", "yhat = narx_net.predict(y=y_test, forecast_horizon=23)\n", "narxnet_loss = loss(\n", " pd.Series(y_test.flatten()[narx_net.max_lag :]),\n", " pd.Series(yhat.flatten()[narx_net.max_lag :]),\n", ")\n", "print(narxnet_loss)\n", "plot_results(y=y_test[narx_net.max_lag :], yhat=yhat[narx_net.max_lag :])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "121 23\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23) # 23 samples for testing\n", "plot_series(y_train, y_test, labels=[\"y_train\", \"y_test\"])\n", "fh = ForecastingHorizon(y_test.index, is_relative=False)\n", "print(y_train.shape[0], y_test.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exponential Smoothing" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "910.462659260655" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "es = ExponentialSmoothing(trend=\"add\", seasonal=\"multiplicative\", sp=12)\n", "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "es.fit(y_train)\n", "y_pred_es = es.predict(fh)\n", "\n", "plot_series(y_test, y_pred_es, labels=[\"y_test\", \"y_pred\"])\n", "es_loss = loss(y_test, y_pred_es)\n", "es_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AutoETS" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1739.117296439066" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "ets = AutoETS(auto=True, sp=12, n_jobs=-1)\n", "ets.fit(y_train)\n", "y_pred_ets = ets.predict(fh)\n", "\n", "plot_series(y_test, y_pred_ets, labels=[\"y_test\", \"y_pred\"])\n", "ets_loss = loss(y_test, y_pred_ets)\n", "ets_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AutoArima" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1714.4753226965322" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "auto_arima = AutoARIMA(sp=12, suppress_warnings=True)\n", "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "auto_arima.fit(y_train)\n", "y_pred_auto_arima = auto_arima.predict(fh)\n", "\n", "plot_series(y_test, y_pred_auto_arima, labels=[\"y_test\", \"y_pred\"])\n", "autoarima_loss = loss(y_test, y_pred_auto_arima)\n", "autoarima_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arima " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2085.425167938668" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "manual_arima = ARIMA(\n", " order=(13, 1, 0), suppress_warnings=True\n", ") # seasonal_order=(0, 1, 0, 12)\n", "manual_arima.fit(y_train)\n", "y_pred_manual_arima = manual_arima.predict(fh)\n", "plot_series(y_test, y_pred_manual_arima, labels=[\"y_test\", \"y_pred\"])\n", "manualarima_loss = loss(y_test, y_pred_manual_arima)\n", "manualarima_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## BATS" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7286.6484525676415" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "bats = BATS(sp=12, use_trend=True, use_box_cox=False)\n", "bats.fit(y_train)\n", "y_pred_bats = bats.predict(fh)\n", "\n", "plot_series(y_test, y_pred_bats, labels=[\"y_test\", \"y_pred\"])\n", "bats_loss = loss(y_test, y_pred_bats)\n", "bats_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TBATS" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7448.434672875093" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "tbats = TBATS(sp=12, use_trend=True, use_box_cox=False)\n", "tbats.fit(y_train)\n", "y_pred_tbats = tbats.predict(fh)\n", "plot_series(y_test, y_pred_tbats, labels=[\"y_test\", \"y_pred\"])\n", "tbats_loss = loss(y_test, y_pred_tbats)\n", "tbats_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prophet" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1186.0045566050442" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "\n", "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "z = y.copy()\n", "z = z.to_timestamp(freq=\"M\")\n", "z_train, z_test = temporal_train_test_split(z, test_size=23)\n", "\n", "\n", "prophet = Prophet(\n", " seasonality_mode=\"multiplicative\",\n", " n_changepoints=int(len(y_train) / 12),\n", " add_country_holidays={\"country_name\": \"Germany\"},\n", " yearly_seasonality=True,\n", " weekly_seasonality=False,\n", " daily_seasonality=False,\n", ")\n", "prophet.fit(z_train)\n", "y_pred_prophet = prophet.predict(fh.to_relative(cutoff=y_train.index[-1]))\n", "\n", "y_pred_prophet.index = y_test.index\n", "plot_series(y_test, y_pred_prophet, labels=[\"y_test\", \"y_pred\"])\n", "prophet_loss = loss(y_test, y_pred_prophet)\n", "prophet_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neural Prophet" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: nprophet - fit: Parts of code may break if using other than daily data.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "11-21 20:57:55 - WARNING - Parts of code may break if using other than daily data.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.utils - set_auto_seasonalities: Disabling weekly seasonality. Run NeuralProphet with weekly_seasonality=True to override this.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "11-21 20:57:55 - INFO - Disabling weekly seasonality. Run NeuralProphet with weekly_seasonality=True to override this.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.utils - set_auto_seasonalities: Disabling daily seasonality. Run NeuralProphet with daily_seasonality=True to override this.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "11-21 20:57:55 - INFO - Disabling daily seasonality. Run NeuralProphet with daily_seasonality=True to override this.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.config - set_auto_batch_epoch: Auto-set batch_size to 8\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "11-21 20:57:55 - INFO - Auto-set batch_size to 8\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.config - set_auto_batch_epoch: Auto-set epochs to 264\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "11-21 20:57:55 - INFO - Auto-set epochs to 264\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 83%|████████▎ | 83/100 [00:00<00:00, 1034.46it/s]\n", "INFO: nprophet - _lr_range_test: learning rate range test found optimal lr: 1.87E-01\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "11-21 20:57:55 - INFO - learning rate range test found optimal lr: 1.87E-01\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Epoch[264/264]: 100%|██████████| 264/264 [00:03<00:00, 66.42it/s, SmoothL1Loss=0.000325, MAE=6.38, RegLoss=0]\n" ] }, { "data": { "text/plain": [ "501.24794023767436" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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6/t75HG27npL6Vv7vpkT5fCWHRBIXemrXypPIZjwBwI/ZZTjaqZg5+sp2tB+opFAPNhwowmCUUAUlQfYX0FwDzt6DGsdQJZK4NTq1nVq3GOoqXfjD9THEBLoN6OUPrssgvaAWHBLluroY3BR6U3oQJAOETpJ3tM+uMMmO9gOVGOrBf/ac5nhFEzFdg5vixqOTqIlbm45mKN7PbimeSB9nogMG3os/KcKbkvpWiutazg5uZsj7JwpCd4VpgAJCJnKoqJ7KJtPsaD9QiWf70TOL6iHwKvmgqIt3EUnc2pzZC0Ydn9WMZMHYgMua9pwcIXcWpJ2qleud2gpoLDV1pIK1O/kLBIwFRw9+Oruj/Zxov0EPY4S3E55OdnJd3MH97KfHzEGPY6gSSdzaFGzDoLAj3RjFwrGX16s7xt8VNwe1XFLpPrgpCJ20lfLO9tE3IEkSP2aXM3WUD+6OptnRfiAUil5WNBR34l1EErc2p7aTp4klwNuT2AHWwjsplQqSI7xIP10r32kp1aJfXDhf7neABDE3kFfRxJmaFrOtHd4fiaEeHK9sQtuul5N4Ywk0VVgsnqFEJHFr0lwD5Vn82BzFgrGBV7SC3KQIbwqqm6lsBfxixZ24cL7cb8EzAvxiu3a0n2fCHe0HKjHUA0mCrOL6c2vgl2VaLJ6hRCRxa3J6BwC7DHFcf5mllE5ddfGCWnlws/SQGNwUZG0N8rIOMTeAQsGm7ArGh3ni52q6He0H6rzBzYCx8i5D4tMjIJK4dTm1nVaFE3UeY4kLurxSSqe4IDecNSq5Lh48Xv7BrT1lokAFq3biZzDqIPpGCmtaOFbWaJGulO48nDRE+DjLg5v2LuAzRtTFzxJJ3IoY8rexxxDNtQnBV7wYv1qlZHy41/mDm2ImnABw7Btw8YeQiWbd0X6gOlc0lCTp3OCm+PQokrjVqC9CVV9gklJKp0kRXuRVNFHnHAlqR/HxVABdm9xaOGYhKJX8mF1ObKAboV6m39F+oBJDPahsaqesoU1O4s2VojUWkcStR4G89OxJl/GMDXY3ySk76+LphY3yJAoxuCmc2gYdWoi5gcrGNg4W1g2Ju3C4oC7efbu2YU4kcSvRcXwLVZI7MQmTTLavYUKIO/Zq5dm6+Dh5E1qD3iTnFqzUsW/A3h3CZ/KTmXe0H6iYQDc0auXZwc14UKhEEkckcesgSRhObWePMY6FCUEmO629WkVSmMe5uri+FaqOmez8gpUx6CHve4i6FtQatuVVEerlSJS/i6UjA0CjVhIX5MahwjqwczzbGiuSuEji1qAqF8f2anLsk7gqxDSllE7JEd5klzag9U2QD4i6+PBVuBdaayH6BoxGif2na5kS6W3WHe0HKjHUgyMlDegMRggWg5sgkrhVaM3bAoBLzDUm/4GaFOGFUYL9DR7g4CE6VIaz3G9BZQ+j5pJb3kRDq45JEUNrudfEUA/adEbyypvkunhrLdQXWjosixJJ3ArUZf/MaaM/0yaOM/m5k8I8UCsVpJ+uO9u2Je7EhyVJkqfaj7oG7F1IK6gBGLRt2PorKdQTEIOb3YkkPtQZ9HhUpJGpTiDp7Oi8KTlp1CSEuJ8b3KzIAV2rya8jDHFlmfKGyNE3APIKlyGejoR4Wr61sLtQL0e8nDVyEveLBZVGJHFLByBcXPPp/ThJLehHzDRbbTI5wpus4nra/RLlTQDKj5jlOsIQduxbudtjzAKMRom0gpohV0oBeUXDpM4VDdX24B8nkrilAxAu7sz+7wEYPXmB2a4xKcILnUHiiBQpHxCDm8NP7rcwYio4eXGiUktdi27IlVI6JYZ6kF+lpbFNd7YEmDmsBzdFEh/ilKd3cFwRztjRo8x2jfHhnigVsLNCA66BYnBzuKk+CVW5EHMjQFc9fPIQvBMHSAw7u6JhUYOcxNuH97o/IokPYU1NjUS0ZlPtOxml0nxtXm4OdsQGuZ3rFxeDm8NL7jfyn9HXA3I9PNDdgVAvRwsG1beEEA8AMovqzg1uFqVbLiALE0l8CDuydxP2Ch0+CfPNfq3kcG8OFtahD0yEmpPQWm/2awpDxLFv5WToHoIkddbDvYZUf3h37o52jPR1Pje46R4GmessHZbFiCQ+hDXm/IIeFaMmzDP7tZIjvGjXGzllFyUfEAvuDw+NpVByoKsrJb+qmWptB5Mih2YppVNiqKe8oqFCCRNXwemdUJFt6bAsol9J/Oabb2bFihWsWLGCZ555hjNnzrB06VKWLVvGCy+8gNFoBGDDhg0sWbKElJQUtm7datbAbV1zu57gunRKnONQOgx8R/uB6lwMa0dzqHxADG4OD7nfyX9eUA+fFDE0BzU7JYZ5UK3toLiuFcbdBWoHSH/P0mFZhPpST2hvbwcgNTW169j999/PY489xqRJk3j++efZvHkziYmJpKam8vnnn9Pe3s6yZcuYNm0aGo3GfNHbsJ1ZJ7iWAkpHPjIo1/Ny1hDl78LOYgO/9ooUdfHhIvdbefd43zGAXA/3dbUnwsfZwoFdXFK3FQ1DrwqCsbdC1icw9wVw9LRscIPsknfiubm5tLa2snLlSu666y4yMzPJzs4mOTkZgJkzZ7Jnzx6ysrJISkpCo9Hg6upKWFgYubm5Zv8CbNXpjE0oFRKBSdcN2jWTI7zIOFOHMTBJ3IkPB611cHqXvA0bWEU9vNOYAFfsO1c0BEj+Deha4NDwq41fMok7ODiwatUq1q5dyx//+EeefPJJJEnq+k92dnamqakJrVaLq+u5j/3Ozs5otVrzRW7DWjr0uJbupkPpgCp04qBdNznCG227nnKXOLGb+HBwfBMY9RAtl1LO1LRQ0djO5CFeDwewUykZG+x+LokHJkDYFNj/Hpwt7w4Xl0ziERERLFq0CIVCQUREBB4eHtTU1HQ93tzcjJubGy4uLjQ3N593vHtSF/pva24VkzhKc8AkUA9eOaqzDpqhD5cPiJKKbTv2DbgGdbXp7Tt1tj98iE7yuVBiqAdHO1c0BEi+F+pOw8mfLRrXYLtkEv/ss8949dVXAaioqECr1TJt2jTS0tIA2LFjBxMmTCAhIYGMjAza29tpamoiPz+fqKgo80Zvo3YfymKUshT3uLmDel1/NwfCvZ34scZP7CZu6zpa4ORmuTdcKaeBtIJafFw0jPQdGuuHX0pimAfteiO5ZU3ygZhF4BIAae9YNrBBdsmBzVtvvZVnnnmGpUuXolAoePnll/H09OS5557j9ddfJzIykvnz56NSqVixYgXLli1DkiQef/xx7O3tB+NrsCmtHQaM+dtACcrI2YN+/eQIL3lHF99oFOJO3Hblb5E3AeleDz9VQ7IV1MM7nduurY6xIe6gsoMJK2Hby/IsVB/zzXIeSi6ZxDUaDX/5y196HP/www97HEtJSSElJcU0kQ1T2/IqmSgdQWfvhZ1//KBfPznCmw0HimnwSsDjzE/ymhRW8kMtDEDut/L68SOmAVBc10ppQxu/GaJT7XsT7OGIj4s9h4rqWTHl7MHxv4Idf5Zr4wtes2R4g0ZM9hlivssqZboqG1XkzK6PuYOpsy5+TDlKXnC/7vSgxyCYmUEHeT/AmAXy3Svn6uFDddGr3igUChI7VzTs5OoPcYvlLpX2JovFNphEEh9C2nQGTuUdxp9alCNnWSSGEE9Hgtwd2K49O+lHlFRsz+ld0FbfNUsT5Hq4h5MdUX7W1YyQFObBqapmGlp05w4m3wcdTXB4veUCG0QiiQ8h2/KqGGfIkv8RYZkkrlAoSI7w4stSDySVvRjctEW534LaEUZe3XUoraCG5HAvsy60Zg5ddfHi+nMHQybIHTfp7w2LJWpFEh9Cvj9Sxhy7bCT3UPCKtFgcyRHelGsNtPuIBfdtjtF4bhs2jbxrT2l9K0W1rUN+vZTeXBUqby+4N/9c2zMKhTz5pzoPCrZbLrhBIpL4ENGmM7D1WBlTlTkoImdZdDCxcx2VQodoecF9o8FisQgmVnoQmsq61koB61kvpTcu9momhnuxLa/y/AfiFoOTN6S9a5nABpFI4kPEjuNVhOvycTRqIWK2RWMZ6euMj4uG/bpw0DVDVZ5F4xFM6Ng3oFRD1LnljdNO1eLmoCYm0M2CgV2+q6P9yC1voqS+296wdg5yp8rxH6DujMViGwwiiQ8RPxwt5xqHY/I/ImZaNJbOuvi31YHyATG4aRskSa6Hh08/b5GofWf7w1VWVg/vNCfaF6Dn3fiElYACDqwd/KAGkUjiQ0C73sAvORUsdMoD3xi5TcrCksO92NfoiVHjKgY3bUVVnrzhR7eulIrGNk7XtAzJTZH7a6SvC6FejmzNvSCJu4fIM1IPfgC61t5fbANEEh8Cdh6vpqO9hZFtRyHSMl0pF0qO8EZCSbVbjLgTtxUXbMMG1tkffiGFQsHVY/zYfbKGNt0F4zeTfiOv1njkU8sENwhEEh8CfswuZ7rDKVSGNou1Fl4oOsAVNwc1OYyC8qOgb7d0SMKVOvYtBE8At6CuQ2kFtbjYq4m10np4p9nRfrTqDKQV1J7/wIhp8hZu6e/abLuhSOIWJkkSO45XcavXKVCoIHyapUMCQKmU6+JbtaFg1EHFUUuHJFyJ+iJ5y72YG847nHaqhgnhnqhV1p0KpkR642Cn7FlSUSjkyT/lR6Bwn2WCMzPr/p+zAbnlTVQ2tTPReASCx4GDu6VD6pIc4cXP9cHyP0Rd3Lp1bsMWfa61sKqpnfyqZquuh3dysFMxdaQPW3IrkS68405IkX+u0m1zdUORxC1sx/EqXGjBu+HokCmldEqO8KYUb9rtvUUSt3a534Jv9Hkr+6WfLT1Ycz28uznRfhTWtnCquvn8BzTOkLRCbq9sLLVMcGYkkriF7ThRxRKv0ygkw5AZ1OwUH+SGk0bNafsxYnDTmjXXwJnd53WlgDzJx0mjYmzw0Pn0dyXmjJFbDXuUVAAmrpInrR349yBHZX4iiVtQS4ee/QV13OiSK+/WHZJs6ZDOo1YpGT/Ck/SOcLk9bZisCmdTmsrhh9+BZOylHl7L+BGe2Fl5PbxTiKcTUf4ubL2wXxzkZSxGXwsZ/7a5QXrb+N+zUmmnapEMHVzVsFl+g9k5WDqkHiZFeLG5MQSQoOywpcMR+qtdC9tehTfGQc5XMO0xCEzseri2uYO8iiarnGp/MXOi/UgvqEXbru/54KT7oLlK/n7YEJHELWj78Srm22Wiaa+DcXdZOpxeTYr05rDx7GJcJRmWDUa4NIMeMv4Db46Dba/A6LnwUDrM++N56/F01sOtYVPkgZgzxg+dQWLXieqeD0ZeDd6jbG77NpHELWjHiSp+7bxb3qy227KgQ0lCiDvNag/qNYFicHMokyR59/p/TIdvfgue4bDqZ0j5ALxH9nj6vlM1ONgpSQjxGPRQzWn8CE9cHdS918WVSph4L5QcsKkbEpHELaS4rgVtVTEJbfshcSkoVZYOqVf2ahVJoR4cZaQY3ByqSjPh/RvhoxQwtMuJe+UmCO17jCWtoJZxYZ5o1LaVAuxUSmZG+bI1r5dWQ4DEZaBxkdcatxG29T9oRXYcr+YW1U6UGCFxuaXDuahJEV7sbAmF+kJo7uVjqmAZ9UWw8T54dxZUZMOC/4EH0yD2posuZdzQoiO3vNEm+sN7M2eMH5VN7WSXNvZ80MENrloKRz8HbdXgB2cGIolbyI68SpZqtiONmNrrx92hRK6Ln41RlFQsr7Uefn4e3hwP2V/Kg5a/zZTXCVFrLvny9NO1SJLt9IdfaPbFWg0Bku8FQwccfH8QozIfkcQtQG8w0npqF2FSGYqkoTmg2V1SmAfZjKRD6SCvzyxYhtEoD8q9kQS7/yZvfPBIhjxoOYCZvmmnatColV1bm9kaHxd7rgpxZ0tvrYYAvmMgcjYc+Jc8EGzlRBK3gMyiem7Qb0andobYRZYO55KcNGpGhfiTppkM2V+AvsPSIQ1Phz+CH56CgHi4bzsseQc8Qgd8mrSCWhJDPXCwG5rjMKYwJ9qPzKJ6apv7eK9OvBcaS+DUtkGNyxxEEreAvcdOc70qDSl2iTwl2AokR3jxgXaivKxn/mZLhzP8GA2w6/8gYCzc9TUEJV7WaRrbdGSXNjDZxvrDL3R1tB+SBNuP93E3PuoaeYLdyV8GNzAzEEncErK/xEnRjmbi3ZaOpN8mR3izVT8Wnb0XZH1i6XCGn2Nfyxs6zPivK9p/NeN0HUYJq9wUeSDig9zxcbFna24fg5d2jvIORyKJCwNV19zB1MbvqXGMgJAJlg6n3yaEe4LSjiz3OZD3A7T1MvIvmIckwc7X5YkqMVdWfttXUIOdSsG4MM9LP9mKKZUKZo/xZfvxKvQGY+9PGnkN1JyAutODGpupiSQ+yDIPpjFeeYLWuKUW3dF+oFwd7Jgc6c1/tBNB3yaviicMjpOboTxL7kK5wvkEaadquSrEA0eN7dbDO80Z40dDq45DRfW9P2HUXPnPk9ZdHuxXEq+pqWHWrFnk5+eTnZ3NjBkzWLFiBStWrOD7778HYMOGDSxZsoSUlBS2bt1q1qCtmSJzHTpUBMywnlJKp7kxfnxTG4rOLQyyNlg6nOFj1+vgFgwJt1/RabTteo6UNNhsa+GFZkT5oFYq+m419BkN7mG2n8R1Oh3PP/88Dg7y4kw5OTncc889pKamkpqaysKFC6mqqiI1NZX169ezdu1aXn/9dTo6RAfDhSR9B2NrfiDbeTJq9wBLhzNgc2P9AQVHvK6Fgu3QVGHpkGxf4T55Gdmpj/SrB/xiMs7UYTBKNjvJ50JuDnZMCPdkS19JXKGQBzgLdlh1x9Ulk/hrr73GHXfcgZ+fHwBHjx5l27ZtLF++nGeffRatVktWVhZJSUloNBpcXV0JCwsjNzfX7MFbm5ID3+BNPY3Rd1g6lMsS4ulETKAbH2gnyUubHv3c0iHZvp2vg6OXSRZISztVg0qpYPwI266HdzdnjB+55U2UNfSx2/2oudDRBMXpgxuYCV00iW/cuBEvLy9mzJjRdSwhIYGnnnqKdevWERoaypo1a9Bqtbi6unY9x9nZGa1Wa76orZT+wPtUSh6MmrbY0qFctnmx/nxd4ozePwGOiJKKWZUfgRObYPKDJmlFTSuoZWywO872ahMEZx2ujpZvPvvsUomYCUq1VXepXDSJf/755+zZs4cVK1Zw7Ngxnn76aWbOnEl8fDwA8+bNIycnBxcXF5qbz22J1NzcfF5SF4CmCkKrd7LF/mqCvKz3ezMvxh+jBNne86H0EFSfsHRIVkeSJL7LKqO8oe3iT9z1f6BxheRfX/E1WzsMZBXXD5t6eKdRfi4Eezj2XVJxcIPQybabxNetW8eHH35IamoqMTExvPbaazz44INkZWUBsHfvXuLi4khISCAjI4P29naamprIz88nKipqUL4Aa6E79BEqjNSMTrF0KFckPtiNADcHPmqeCCjEAOdlOFLSwEMfHWTB33awJbePcYWafHl27MSV4Hjl5Y+DhXXoDBKTh0k9vJNCoeDqaD92n6ymXW/o/UmjrpE/9TSVD25wJjLgFsMXX3yRl19+mRUrVnDw4EEefPBBfH19WbFiBcuWLePuu+/m8ccfx97e3hzxWidJouPAB+w3RhGXMN7S0VwRhULB3Fg/vimQMITPlEsqvS35KfRpa24VCgX4uzmw8j8HeOnbHDr0F/Qy7/4bKO1g8kMmuWbaqRqUirP9/sPM1dF+tOoMpJ2q7f0Jna2G+VsGLygT6ndxLDU1tevv69ev7/F4SkoKKSnWfZdpNsX7cW48xUbpNzxvA3dCc2P8+XBfIcf9FhBz+vdQfABCJ1o6LKuxNa+Sq0I8WH/fZF7+/hj/3FXA/tO1vLl0HGHeTvKO7JkfyYOZrv4muea+glrigtxxdbAzyfmsyeRIb+zVSrbmVTIzyrfnEwLGgou/XFJJXDb4AV4hMdlnMBxKpRUHqsMW2MQkiykjvXHWqPikOUlef0IMcPZbbXMHh4vrmT3GFwc7Ff/vpnj+cec4TlU3c/0bO/kuqwz2vCV3/0x71CTXbNMZyCyqt7n9NPvLUaNi6kjvvvvFFQp59mb+FnmNGisjkri5tWsxHvmcb/STSB4zwtLRmIS9WsWsMb58f1yLFHUdHN0IBp2lw7IKO45XIUkwe4xf17Hr4gP5/tEZjPRz4Q8fbacjfS2GuFvkLdZMYE9+NR16o83tpzkQc6L9OF3TwqmqPrrmRl0jL+5WemhwAzMBkcTNLecrlLpmPjHM7v2jnJWaF+tPZVM7BUHXQ0s15ItZuv2xLa8Sb2cNCcHnr/8d6uXEp/dP4a3IdDTGNh48M5OTlZffptvUpuOT/YWk/GMvK/9zAHdHOyYO0ztxkPvFAbbm9dFqGDkHUFhll4pI4uZ26EMq7EIocUkgyt/F0tGYzJwxfqiUCr5sigUHD1FS6QeDUWL78SpmRvmiVPZcN8dO38z02s+pCpnH/pYAFr21i88zigd0/h3Hq/jt+kNM/NMvPP35Eaq17fxu/hh+fGwG7o7Drx7eKdTLidF+Ln2XVJy9IXicVU7BHz5d/5ZQfRIK9/ARy5gR54vCiha8uhQPJw0Twz3ZlFvLE3E3y62G7Vqwt51fVKaWVVxPXYuua/uwHg78G9rq8b3uGb53jePR9Yf4r08Pszu/mtU3xfc5SedkpZbPDxbzxcESyhvbcHNQc8u4EG4ZH0JSqIdNve+uxJxoP/69uwBtux6X3r6Xo+bCjj9DSy04Wc+nFnEnbk6Z65AUKj5qm2ZTpZROc2P8yatoomLEItC1QN73lg5pSNuaV4VSATNH9/Je0LXB3jUQMQtCxhPg7sBHv57Eo9eM5otDJdz41i6OlZ1b/re+pYPUvae5ac1u5r6+nXd3nCIm0JW3liWR/oe5/GnxWMaFeYoE3s2cMX7oDBK7T/ax2feoufKAspXt9iPuxM3FoIfMjyjwmEJ1myfTR/lYOiKTmxfrz0vfHePbhnBWuYfKd+MJos20L9vzKkkM9cDTuZeFrA5/BNpyecu1s9QqJU/Mi2JyhBe//SSTm9bs5sHZI8krb2LzsUo6DEaiA1z5w8IYbkoKws/VYRC/GuszIdwTV3s1W3MrmR/XywJ0QePk0uDJzRC/xLQXNxrkGx1708/WFkncXPI3g7acDe6/JiGkjx9cKzfC25kofxd+OVbFqrG3wu43QFsFLrb3qeNKVWvbySpp4PG5vcxkNujlyT3B4+U78QtMHeXDD7+dweOfZPLXX07g5axh+eQwbhkXQlyQm7jb7ic7lZIZUT5szatEkqSe3zeVGkbOkQc3Jcm06/1//ShU5cK9pq+5i3KKuRxKxejky78qo5g12vbuwjvNjfEn/XQtjaMXg2SA7I2WDmlI6mwtnNOttbBL9hfy7jLTn+gzcfi42PP+Pcn89PhM9j1zDS/cGEd8sLtI4AM0e4wfFY3t5JT1sTPVqLnyJ6KKbNNdtPaU/ElrxBTTnbMbkcTNobka8n7gdPANdEhqm6yHd5oX64/BKLGl1gf848VaKn3YlleFj4uGuCC38x8wGuVNH3yjYczCi55DqVQQ5e+KRi1+bC9X56Byn10qI6+R/zRlq+HuN+SVEk20hMKFxLvBHLI+AaOeL6U5uDqoSQz1sHREZnNViAe+rvb8nFMBY2+DkgPy4k1CF4NRYseJKmZF+fVsLTyxCSpzYPrjoBQ/jubm5+pAQoh73/3iboHyzYipknhjGWSug8Tl8rnNQLxrTE2S4GAqUvAEPi1yYdpIH9Qq2/02K5UK5sb4sf14Fe0xiwEFHPnM0mENKZlF9dT31looSbDzL+ARBvG3WCa4YWj2GD8OFdZR19zHbj6jrpF3VGo3wZ4I+9aAUQ/Tfnvl5+qD7WYXSyk5CFXHqBx1K2UNbTZdSuk0N8YfbbuetBonCJ8uVja8wLa8SpQKmHHh2MjpXVC8X/4BVw3fiTiD7epoP4wS7DjRx934yGvAqIPTO6/sQi21sP9f8i9or4grO9dFiCRuaodSQe3Ij0wDYGaU7Q5qdpo2ygdHO9W5kkrNSatcg8JctuVVMS7MEw+nCzqUdr0Ozn6QeKdlAhumEoLd8XbW9L1RRNhksHO+8pJK+nuga5ZLZWYkkrgpdbTI+07G3czmgjYifZ0J8XSydFRm52CnYsZoH345VoEUuwhUGjHAeVZlUxtHShp6llJKD8mr5k15COxEf/dgUioVzBrjy/bjVRiMvXxiVNvL27ad+PnyP1G2ayHtbYhaAP5xVxbwJYgkbkqZ66C9kfaxy0g7VdP7zDwbNS/Wn7KGNrJrlTD6WvmXmUFv6bAsbsdxeXbg7AtbC3e+Dg7uMGGlBaISro72o75Fx8HCut6fMOoaqD8jtwdejoPvy6sizvivyw+yn0QSN5WidNj0LITPIM0whna9kVnDoB7e6epoPxQK5JJKQgo0V0LBdkuHZXFb8yrxdbU/v7WwcB8c+wYm3ivv8SgMullRvmhUSn482seWbJ27/VxOSUXfDnvehPAZg7JZikjiplBfBOuXgVswpHzAjhM1aFTKYbUprbeLPePDPOUkPno+2LvDkU8tHVb/aKvg2yfkjYlNSG8wsvN4FbOjui1+1tYAn98LniNg+mMmvZ7Qf64OdsyM8uHHo+VIvZVMvCLAa+TlJfHD66GpDGY8ceWB9oNI4leqoxnWL5V/+y77BJy82HGiiokRnjhphteqBvNi/ckpa6SkWYLYG+W7zY4WS4fVN6NBHnx6azwcWAu/vAjZX5rs9IeK6mls059fSvnuSWgsgVvWmmUdDaH/rosPpKS+laziht6fMGouFOyUFyfrL4NevhkITDy7Rrn52XQSb+0w8Nj6Q3yVWdL7b9srZTTCxvvkKbq3/gt8x1DW0MrxCu2wqod3mhsr7wf5S04FJNwOHVo4/oOFo+pDUTq8Oxu+fxKCkuCBPRAyEb56WF5C2AS25VWiUiqY3tlamLVBbr+c/QyETDDJNYTLNy/GH7VSwfdHy3p/wqi5oG+Fwj39P2nOl1BXINfCB2lJBJtO4lvzKvkys5Tfrs/k3g8yqGwcwG/Ufl3gT5D7LVz7EoyeB8DOswNZw6E//EIjfV2I9HXml2MVMGI6uAYNvS6V5mr46iFYO0/++23/gRVfyh0Et/0H1BrYcJdJPkFsy6tifJinvBlD3Wn47r8gbMqgfcwWLs7dyY6poy5SUgmfBir7/m8UIUnyXbhPFETfYNpgL8Kmk/im7HK8nDX8YWEMO09UMff17Xx6oMg0d+VZn8LO/4WkFTD5wa7D209U4edqT3TA8PyoPC/Gn32namjsMMDYW+SaYnONpcOSSyf7/wlvjpNrltN+Cw/vh7jF5+6Y3ENgyXvyNPjvnriiCUuVjW1klzYyO9pX/oi98TfyA4vfAaX1b5ZtKxbGB3CmpqX3BbE0zjBiav/r4id+goqjg76Egs0m8Q69kS3HKpkb48e9MyP58bGZRAe48bvPsrjnP/sprW+9/JMXZ8h3c2FT4frXu5KAwSix60Q1M0bb1i4+AzEv1h+dQWJ7XhWMTZGnHOd8Ydmgig/Ae3PkO+GABLl0Mu//9b4L0ahrYPbv4fDHcpvYZdp2XJ4NODvKT55aX7RPfq942sZm2bZiXqw/SgUX71KpyoWGS2yT17mEgnuoPOHtArtOVPPuDvOsKWSzSXxPfjVN7Xqui5cXf4/wcWb9fZN58cZY0k7Vcu3/7eDj9MKB35U3lMgDma7+cHuq/PH7rEOFdTS06obFLM2+JIV54uWskbtUAsbKq/NlWahLpbkGvn4E/nkNaCvlcYu7vwHfMRd/3czfwcir4funoDTzsi69La8Sfzd7YvTHYPtr8hhBQs8fbsGyvF3smRzpzXdHynrPBaM6VzW8REnlzB4oSoOpj/ZYQkGSJF74+ii/HOtjhugVstkkvim7AmeNiqnBmq6PxUqlgl9Ni2DTYzNJCHHnmY1HuHNtGkW1/ax/drTICbyjGZZ+As4+1Ld0sGF/EXf/K5073t2Hg52SGcNwULOTSqng6mg/tuZVojNK8l1J0T6oLRi8IIwGOPAvuesk8yOY+ohcOom/pX+DTUoVLPknOPvI9fHWPiaE9EFnMLLzRDXzRzqj2HgvuAfDwj9f5hcjmNuC+ABOVTVzorKXBa98o+XW4UuVVHa9Ds6+MG5Fj4cOnKkjv6qZW8eFmCji89lkEjcYJX7OKWfJSCMOf4uGd2dB3g9dyTzM24l1v57EnxbHc7iogfl/3cEHe09j7G0KbiejEb58AMqy0N7wDhsKXbn7X+lMeOkXnvo8i/wqLatmRPD1w9PxssFdfAZiXqw/TW160gtq4aql8lrK6e8NzsWr8uQ7728fl5cUvX+XPPA80HY+Z2+47X25HfDLB+X//346eKaOpjY99zW/DQ1Fcp3dwX2AX4gwWObHBaBQwA9HeimpKBTy3fipbWDQ9X6C0kw5yU9+AOwcezz8cXohLvZqbrhKLEXbbwcL66jWdnCHSybo26ClDj6+47xkrlAoWD5pBJsen8mEcC+e/yqbO97bx+nq5l7P2fbLy5DzJes9fk3ieuUFiXsaO5+awzMLYojyH54Dmt3NGO2DvVopl1TcgyH2Zjj4AbT1sZuKqUiS/Iu27ox8J333N+AXc/nnC50I1/5J3gB6zxv9ftm241XcpN5LSOFXcmkmbPLlxyCYnZ+bAxNGePLDxVoN2xvlsZXe7Po/sHeDib/u8VBDq47vj5RxU2KQ2eaN9CuJ19TUMGvWLPLz8zlz5gxLly5l2bJlvPDCCxjP3qFs2LCBJUuWkJKSwtatW80SbH9tOlqORqVkTP0O8IuDRw/CTWugtf5sMp8NeT+CJBHs4cj790zkf25N4FhZI9f9bQf/3HkKg1HqKpWsefPPOOz5M58ZZvJW24IeiTshxGPYDmT2xkmjZvqoswtiSZK8yFNHExz60LwXPrMbSjLg6v+W68+m+D+Z9Bu5g2XzH+WlY/vhaM5RXrb7l9x3PvOpK49BMLsF8YHkljdxqqqXkkrELFCoei+pVJ+AnK8g+d5eP219lVlCm87I0uQwM0Qtu2QS1+l0PP/88zg4yCutvfLKKzz22GN89NFHSJLE5s2bqaqqIjU1lfXr17N27Vpef/11Ojr6WHDdzCRJ4sfscuZHqFEXp0H09fJAQ9Kd8EgGLHpLrnF+fLvcsXB8EwogZUIoPz8+i2kjfXjpu2PM+d9tTHjpFz7Y+CWrav6HIpcExvz6n+x8+mqRuPthbqw/xXWt5JY3QfA4uT867W25Xm0uu/4q1yUTl5nunAoFLHpTnoL96T3Q1EcXw1nldc08XP9n7JSSXEZRDa9Zu9aqswHih966VBw9IDS59yS++6/yqoeTHujxkCRJfJxeRHywG/HB5iunXTKJv/baa9xxxx34+clTh7Ozs0lOTgZg5syZ7Nmzh6ysLJKSktBoNLi6uhIWFkZubq7Zgr6YnLJGiutaudPrGEhGiO62b6HKTh54eCRD/sFsqYGPUuC9q+H4TwS42fPPuyfw19sTCXBz4LeTXPjC803s3f0IvX8jY0f4i8TdT9fEyO+XX3Iq5AOTH4T6QnlylDmUH4WTP8t3zr3UJa+IvSukfADtTfDZqouuzlj5w6tMUuZSPfNPZt0IQDCtIA9HEkM9LtJqeA2UZcrr7HSqL5LnHIy7G1x6NjNkFTdwrKyROyaa7y4cLpHEN27ciJeXFzNmzOg6Jp2tJwM4OzvT1NSEVqvF1fVcLdjZ2Rmt1gRbG12GTdkVKBWQ2LJbHlUOTOz5JJUdjLsLHjkIN74hz9z76Db45zUoTv7CzYlBbFiVyCMVL2Cn06JY+kmv/0lC3/xcHUgM9eDnY2eTePT14DEC9q4xzwX3vAEal17rkibhHws3/hXO7IItq3t/TnEGccfX8JNyOoEzfmWeOASzWRAfwJGSht671TpXNczfcu7Y3rfkP6c+0uv5Pk4vxNFOxU2JQSaO9HwXTeKff/45e/bsYcWKFRw7doynn36a2trarsebm5txc3PDxcWF5ubm8453T+qDadPRcqaOcML+9HY5cVzszlllB+Pvlu/Mb3xD/i277lb451z4ZIW8cP8t70FA/OB9ATZkXqw/WcUNlDe0yW17kx+Qe2n7GiC6XPWF8r6e438Fjp6mPXd3V90B4++RP0Lnfn/+Y+1apI2/pkLyZG/MsyjEpsdWZ0G83D3S6914wFXg5HOupNJcDRnvy/3/HqE9nq5t1/P14VJuSAjE1cG8W+9d9J22bt06PvzwQ1JTU4mJieG1115j5syZpKWlAbBjxw4mTJhAQkICGRkZtLe309TURH5+PlFRUWYNvDenq5vJq2jiV36n5IVroq/v3wvVmm7J/G+grZA/ml/zfP/PIfQwr3NBrM678aQ75VF8U9+N710j/7Ke3LMu2V+ZRfVkl/axml13170KgVfBF/ef3/v+49NQW8BjHQ8wOXbkZcchWE6YtxNxQW69L4ilVMollfwtcrvpvrflzrdpj/V6rm8Ol9LSYeAOMw5odoU20Bc8/fTTvPnmm9x+++3odDrmz5+Pr68vK1asYNmyZdx99908/vjj2NvbmyPei9qULf8GnaJLk0eKR0wb2AnUGvlu7pGDcO9Ws++NZ+tG+7kQ5uV0Lonbu8plrJyv5HqiKbTUyu2LY1PktU8GyGiUWLP1JEv+vpvFa/bwbVbpxV9g5yDXxxXIE4F0bfLytYc+ZE/QXRxSxjJt1PCdsWvtFo4N5FBhPWUNvSzLMWoutFTLJbX09yDmRvDt/WZ1fXohUf4ujAvzMG/AQL+HzlNTU7v+/uGHPVvFUlJSSElJMU1Ul2lTdjkJQc44n/5Z3pjgcncQV2vkjgrhiigUCubF+pO69wzadj0u9mp54HHf25D+LlzbR215INLfA12LvKDVADW06vivDYf55VgFN14VRHlDKw9/dIjS+lbunRHZ9yC2Z7i8kNXHd8CX90P+Vggax5+0NzNhhJP8dQpW6br4AP68KY8fj5Zzz7QLBqY71wf/8kFob+hzNcqc0kYOFzfwwo2xg9IIYTOFu4rGNg4W1nN3cDm01ooyyBBxbaw/HQYjmzvvxj3CIHaRXE9sv8LB744WSH9H3ozWL3pALz1W1siit3axLa+SF2+M5Y07EkldNYnrEwJ5+ftcXvw6u/dNdDuNWSB/Usv+Agw6Kua9RU5lK3OixQC4NRvp68IYf9feWw1dfOVGiYYieW2doKRez7F+fyEatZLFScHmDfYsm0niP51tZbtasV9eA7hz4RrBoiaGexHs4cjGgyXnDk55WL6TyVx3ZSc/9KHcJjrAu/CNB4tZ/PfdtOkMfPKbyfxqWgQKhQIHOxVv3pHEvTMieH/vGR74MIPWjov0tc/5b0j+DdzyTzZXygP5PTZEFqzOdfEB7D9dS2VTL/sPdHap9LEBcmuHgS8OlbAwPgAPp8FZfsN2knh2OZHeTngU/gyRs8XWV0OEUqngpsQgdp6oOvdDETIBQpJh398vf/KPQQ9734TQSTBiSr9e0qE38tyXR3liw2GuCvHg20dmMH7E+fugKpUK/nB9LC/eGMvPxypY+t4+arTtvZ9QpYaF/wPRC9mWV0mwhyOj/XpZ3lawKgvHBiJJ8FN2Rc8Hpz4Mt3/Y53jb90fKaGrTD8qAZiebSOINLTr25tewPFKLov7M+RN8BItbnBSMUYKvM7sNGk55SN7tJu8yt2/L+VJuLeyjO+BCZQ2tpLyzl9R9Z/jNzEjW/XoSvq59D77/aloEby8fz7GyRm55e0+fa+qA/Mth98lqZo0ZvuvI25IofxcifZx7X0vF0VMe0Ozj//nj9EIifZyZFDF4m6TbRBLfnFuB3iix0O4goJBrpMKQMdrflfhgN77M7FZSib4B3MMur91QkuQp9j5jIOq6Sz59z8lqbnhjFycqmnh7+TieWRiDWnXpt/518QF8fN9kGtv0LHl7DwcLe1+S9sDpWpo7DMwRpRSboFAoWDA2gH2naqlt7v/yIScqmjhwpo7bJ4YO6i9zm0jim7LLCXBzIKD0F3mNA1d/S4ckXGBxUghHSxo5UdEkH1Cd7VQp3CNPqhqI/M1QcQSmPXrRbbAkSeLv205y59o0PJ01fPXwdBaMHdhyoOPCPNn4wFRcHdQsfXdfVxtrd1vzKtGolEwd6T2wr0MYshbEB3Ytad1f6/cXYadScMt486wb3herT+KtHQa2H6/ittESivIs0ZUyRC26KgiVUsHGQ93uxsetAI0r7P37wE6266/yJsxj+25pbWzT8ZvUDP7nxzwWjg3kq4emMeoy69XhPs5sfGAqMYFu3P9hBv/Zff4GF9vyqkiO8MJZtBbajLggN0K9HHvvUulFu97AxoPFzIv1x8dlcOfIWH0S3368ijadkcWOh+UDY0QSH4p8Xe2ZMdqHrw6VnNt8w8FdTuTZG6HxEpNsOpVkwOmdMOXB87bG6y63vJGb3trNltxKnr8hljeXJl1xgvV2sefjeyczN8afF7/J4U/f5WA0ShTXtXCiUsvsMaK10JYoFAoWxAey+2Q1Da19bAbRzabsCupadGZdcrYvVp/Ef8oux8PJjvDqbXKN1GeUpUMS+rA4KZjShjb2FdScOzjpN/Jqk+nv9u8ku/8G9u7yynG92JpXyeI1e9C26/n4vsmsnB5hsvqko0bFP+4cz91TRvDezgIeWX+oq4NBtBbangXxAegM0rk5DhexPr2QUC9Hpo0c/Nm6Vp3EdQYjvxyr4IbRTijP7BallCHu2tgAXOzVfNG9Z9wzXB7kPPBvee/Si6nJh5yvYeIqcHDr8bDeYOT5r44S6uXId49MZ2K46TsEVEoFLy6K4w8LY/guq4yXvsshxNORkb7OJr+WYFlXhXgQ6O7A971t29bNmZpm9uTXcPuEUJTKwe9Osuokvu9UDY1tem53zwbJICcDYchy1Ki4Lj6AH46W06br1h8+5WFoq5c3Nb6YPW+ASgOT7u/14e+OlFFU28qT147Bz83BdIFfQKFQcO/MSN5aloRaqeS6uADRWmiDlEoF18UHsONEFdr2vteQX7+/CJVSwW0Teq5mOBisOolvyi7H0U5FbONOcA3scxqsMHQsSQpG266X99/sFJoMwePlNVX62pC4qQIyP4bEpb12H0mSxNvb8hnt58LcmMHpTrohIYi9z1zN764bMyjXEwbfgvhAOvRGtuRW9vq4zmDk0wPFzBnjh78ZbxwuxmqTuNEo8VN2BXNHu6PK3yKvZSHWcB7yJkV6E+DmwBfdu1QUCnnyT20+nNjU+wvT/gGGDpj6aK8Pb8mtJLe8iftnjRzUj7TeLvbYq1WDdj1hcI0f4Ymvqz0/9rGJ8uZjFVRr21mabJm7cLDiJH6oqJ7KpnaW+RaArlnUw62ESqngpqQgth+vorr7dPaYm8AtpPfJP22NsH+tvHCWd8+1uuV+8HyCPRxZZOZdVIThRaVUMD/On625Vb2uo/NxehEBbg7MirJcd5LVJvGfssuxUykY37pb3mggfKalQxL6aUlSCAajxDeHu7UVdk7+Ob0TyrLOf8HB9+UFs/pY6Gr/6ToyztRx38xI7PoxE1MQBmJhfCCtOgPbj59fUimua2HHiSpSJoT0awawuVjlO16SJDZllzM10hNN/iYYPa/PnmFh6BkT4EpsoBtfdi+pgLxhhJ2zvDBWJ32HPBkofIZcN+/F37edxNtZQ4qFBpYE25Yc4YWnk12PLpUNB4oBSJlo2fedVSbxvIomTte0sDy4ApqrYIxY8MraLBkXzOHiBvKruq0p7ughb+F25DNoOvsDc2QDNJXC9Md6PU92aQPb8qq4Z1o4jhpRmxZMT61SMj8ugC25lV1dVQajxKcHipg52pcQTyeLxmeVSXzT0QoUCpimTwelnXwnLliVRVcFoVRwfs84wOT7waiXd+wxGuXJPf5jYWTv68O/vS0fF3s1K6aEmz9oYdi6Lj4AbbueXSeqAdh+vJKyhjaLDmh2ss4knl3O+FAPnE/9ABEz5enbglXxc3Ng+mhfvug+DR/AK1IepD6wVp6OX31croX30od9urqZ74+UsXxyGO6O5t1RXBjepo70wc1B3bWWysfpRfi42HPNILWzXozVJfGi2hZyyhq5PaIFak+JrhQrtiQpmJL6Vvafrj3/gSkPQWsdfP2IvJ1b3OJeX//OjnzUKiWrpkf0+rggmIpGrWRurD8/55RTXNfCltxKbh0fMiQG0i0fwQB1LgU6T3FAPiDq4Vbr2jh/nDSq83vGAcKmyHsZ6lpgyiNy58oFKhrb+DyjhNvGh+DnaplJFsLwsjA+kMY2PU9+ehiDUeIOCw9odrLKJB4T6IZH0c9yt4LbwNaHFoYOJ42a6+IC+O5I2fnT8BUKuOY5uSMl6c5eX7t2VwF6o5H7ZkYOUrTCcDd9tA/OGhX7TtUyJdKbcJ+hsV6OVSXxqqZ2DpypY8kohbwkqSilWL3F44JpatP3nNY8ai786lvQ9Bz5b2jRsW7fGW5ICGKE99D4QRJsn4OdqqsGfscQGNDsZFVJ/OecCiQJbrDPlA+IBa+s3tSRPvi72bPxwi6Vi3h/72maOww8MLvn7E1BMKeV0yO4fmwg8+MCLB1KF6tK4puyyxnh7URA2WbwHgU+UZYOSbhCKqWCmxKD2ZZX2a/9DFs69Px7dwFXR/sRE9hzOVpBMKfEUA/WLB+Hg93QmZNgNUm8sU3HnvxqFo1xQVGwUx7QFMt/2oTFScHojRLfZl16d5/16UXUteh4UNyFCwIAl9yzymAw8N///d8UFBSgUql45ZVXaGpq4v777yc8PByApUuXsnDhQjZs2MD69etRq9U88MADzJkzx2SBbs2tRGeQWOyaA0adKKXYkJhAN6IDXNl4sIS7LjJpp0Nv5J87T5Ec7sUEM2z4IAjW6JJJfOvWrQCsX7+etLQ0XnnlFa6++mruueceVq5c2fW8qqoqUlNT+fzzz2lvb2fZsmVMmzYNjcY0a5psyi7H19WeiOpt4OwHIRNMcl5haFgyLpiXv8+loLqZiD5G/b/KLKG0oY0/LR47yNEJwtB1yXLK3LlzWb16NQClpaX4+Phw9OhRtm3bxvLly3n22WfRarVkZWWRlJSERqPB1dWVsLAwcnNzTRZodmkji+K8UZz4+eza4UOnJiVcuUVXBaNQ0LNn/CyjUeIf2/OJCXQTmxILQjf9qomr1WqefvppVq9ezfz580lISOCpp55i3bp1hIaGsmbNGrRaLa6url2vcXZ2RqvVXuSsA7Pu15N4OqYKOppEKcUGBbg7MG2kD18eKkGSpB6P/5RTTn5VMw/MHim2QhOEbvo9sPnaa6+xadMmnnvuOaZPn058fDwA8+bNIycnBxcXF5qbz21029zcfF5Sv1Ihnk5oTvwgL1UaIdYOt0WLk4IprG0h40zdecc7N30Y4e3Ewvih09olCEPBJZP4l19+yTvvvAOAo6MjCoWChx9+mKwseeH+vXv3EhcXR0JCAhkZGbS3t9PU1ER+fj5RUSZsATQaIfd7GD0X7MQ0a1t0XXwAjnYqNl5QUtl9soas4gZ+M3OkRRffF4Sh6JIDm9deey3PPPMMy5cvR6/X8+yzzxIYGMjq1auxs7PDx8eH1atX4+LiwooVK1i2bBmSJPH4449jb29vukhLD4K2XJRSbJizvZr5cf58l1XGCzfGdu1d+fb2k/i62rNkXLCFIxSEoeeSSdzJyYm//e1vPY6vX7++x7GUlBRSUlJME9mFcr8DpVqsHW7jFo8L4cvMUrbmVnFdfACHi+rZfbKGZxZED6kJFoIwVFjPZ9PjP8KIaeDoaelIBDOaNtIbX1d7vjgkb331920ncXNQs3zyCAtHJghD0yXvxIeM6BsgcraloxDMTK1SsuiqID7Ye5oDp2vZlF3BI1ePwsXeet6qgjCYrOdO/Oo/QPg0S0chDILFScHoDBL3f5iBg52SX00Nt3RIgjBkWU8SF4aNuCA3ovxdqNZ2cMfEMLxdTDhALgg2RiRxYchRKBTcMTEMBzsl94pNHwThokShURiSfjU1nCXjgvFwMs3aO4Jgq8SduDAkKZUKkcAFoR9EEhcEQbBiIokLgiBYMZHEBUEQrJhI4oIgCFZMJHFBEAQrJpK4IAiCFRvUPnGDwQBAeXn5YF5WEATB6gUEBKBW90zZg5rEq6qqAFi+fPlgXlYQBMHqbd68mZCQkB7HFVJvGxqaSVtbG0ePHsXX1xeVSqwNLQiC0F993YkPahIXBEEQTEsMbAqCIFixIb8AltFo5MUXXyQvLw+NRsNLL73EiBFilxeAm2++GVdXVwBCQkJ45ZVXLByR5Rw+fJj//d//JTU1lTNnzvD73/8ehULB6NGjeeGFF1Aqh9/9SvfvSXZ2Nvfffz/h4eEALF26lIULF1o2wEGk0+l49tlnKSkpoaOjgwceeIBRo0bZxPtkyCfxX375hY6ODj755BMyMzN59dVXefvtty0dlsW1t7cDkJqaauFILO+9997j66+/xtHREYBXXnmFxx57jEmTJvH888+zefNm5s0bXnuzXvg9ycnJ4Z577mHlypUWjswyvv76azw8PPjzn/9MXV0dixcvJjo62ibeJ0P+105GRgYzZswAIDExkaNHj1o4oqEhNzeX1tZWVq5cyV133UVmZqalQ7KYsLAw3nzzza5/Z2dnk5ycDMDMmTPZs2ePpUKzmAu/J0ePHmXbtm0sX76cZ599Fq1Wa8HoBt91113Hb3/7265/q1Qqm3mfDPkkrtVqcXFx6fq3SqVCr9dbMKKhwcHBgVWrVrF27Vr++Mc/8uSTTw7b78v8+fPPG7WXJAmFQgGAs7MzTU1NlgrNYi78niQkJPDUU0+xbt06QkNDWbNmjQWjG3zOzs64uLig1Wp59NFHeeyxx2zmfTLkk7iLiwvNzc1d/zYajb222Qw3ERERLFq0CIVCQUREBB4eHl19+MNd97pmc3Mzbm5uFoxmaJg3bx7x8fFdf8/JybFwRIOvrKyMu+66i5tuuokbb7zRZt4nQz6Jjxs3jh07dgCQmZlJVFSUhSMaGj777DNeffVVACoqKtBqtfj6+lo4qqEhNjaWtLQ0AHbs2MGECRMsHJHlrVq1iqysLAD27t1LXFychSMaXNXV1axcuZLf/e533HrrrYDtvE+GfJ94Z3fK8ePHkSSJl19+mZEjR1o6LIvr6OjgmWeeobS0FIVCwZNPPsm4ceMsHZbFFBcX88QTT7BhwwYKCgp47rnn0Ol0REZG8tJLLw3LyWXdvyfZ2dmsXr0aOzs7fHx8WL169XllSlv30ksv8cMPPxAZeW7P1j/84Q+89NJLVv8+GfJJXBAEQejbkC+nCIIgCH0TSVwQBMGKiSQuCIJgxUQSFwRBsGIiiQuCIFgxkcQFQRCsmEjigiAIVkwkcUEQBCv2/wFJ54RMYQforAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "\n", "df = pd.read_csv(r\".\\datasets\\air_passengers.csv\")\n", "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n", "df_train = df.iloc[:-23, :].copy()\n", "df_test = df.iloc[-23:, :].copy()\n", "\n", "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n", "\n", "metrics = m.fit(df_train, freq=\"MS\")\n", "\n", "future = m.make_future_dataframe(\n", " df_train, periods=23, n_historic_predictions=len(df_train)\n", ")\n", "\n", "forecast = m.predict(future)\n", "plt.plot(forecast[\"yhat1\"].values[-23:])\n", "plt.plot(df_test[\"y\"].values)\n", "neuralprophet_loss = loss(forecast[\"yhat1\"].values[-23:], df_test[\"y\"].values)\n", "neuralprophet_loss" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('SysIdentPy (Neural Model)', 316.54086775668776),\n", " ('SysIdentPy (MetaMSS)', 450.992127624293),\n", " ('SysIdentPy (AOLS)', 476.64996316992523),\n", " ('NeuralProphet', 501.24794023767436),\n", " ('SysIdentPy (Polynomial Model)', 805.9521186338106),\n", " ('Exponential Smoothing', 910.462659260655),\n", " ('Prophet', 1186.0045566050442),\n", " ('AutoArima', 1714.4753226965322),\n", " ('ETS', 1739.117296439066),\n", " ('Manual Arima', 2085.425167938668),\n", " ('BATS', 7286.6484525676415),\n", " ('TBATS', 7448.434672875093)]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results = {\n", " \"Exponential Smoothing\": es_loss,\n", " \"ETS\": ets_loss,\n", " \"AutoArima\": autoarima_loss,\n", " \"Manual Arima\": manualarima_loss,\n", " \"BATS\": bats_loss,\n", " \"TBATS\": tbats_loss,\n", " \"Prophet\": prophet_loss,\n", " \"SysIdentPy (Polynomial Model)\": frols_loss,\n", " \"SysIdentPy (Neural Model)\": narxnet_loss,\n", " \"SysIdentPy (AOLS)\": aols_loss,\n", " \"SysIdentPy (MetaMSS)\": metamss_loss,\n", " \"NeuralProphet\": neuralprophet_loss,\n", "}\n", "\n", "sorted(results.items(), key=lambda result: result[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8.11 ('neural_prophet')", "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": "3.8.11" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "9c8b4f2566ee0665c300a0345d74a67c0dbdc59cdceb21f2c0a51a43b1bc6af5" } } }, "nbformat": 4, "nbformat_minor": 2 }