{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Air Passenger benchmark\n",
    "\n",
    "Example created by Wilson Rocha Lacerda Junior"
   ]
  },
  {
   "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": [],
   "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\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",
    "# 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",
    "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",
    "\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": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results\n",
    "\n",
    "1. 'SysIdentPy (MetaMSS)', 255.6,\n",
    "2. 'SysIdentPy (AOLS)', 476.64,\n",
    "3. 'SysIdentPy (Neural Model)', 513.56,\n",
    "4. 'NeuralProphet', 548.28,\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"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SysIdentPy FROLS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "805.9521186912001\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "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",
    "x_train = np.zeros_like(y_train)\n",
    "x_test = np.zeros_like(y_test)\n",
    "\n",
    "basis_function = Polynomial(degree=1)\n",
    "sysidentpy = FROLS(\n",
    "    order_selection=True,\n",
    "    ylag=13, xlag=1,\n",
    "    info_criteria='bic',\n",
    "    estimator='recursive_least_squares',\n",
    "    basis_function=basis_function,\n",
    "    model_type='NAR'\n",
    ")\n",
    "sysidentpy.fit(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(y=y_test, forecast_horizon=23)\n",
    "frols_loss = loss(pd.Series(y_test.flatten()[13:]), pd.Series(yhat.flatten()[13:]))\n",
    "print(frols_loss)\n",
    "\n",
    "\n",
    "plot_results(y=y_test, yhat=yhat)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SysIdentPy AOLS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "476.6499631699247\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "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",
    "x_train = np.zeros_like(y_train)\n",
    "x_test = np.zeros_like(y_test)\n",
    "\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",
    "x_train = df_train['ds'].dt.month\n",
    "x_test = df_test['ds'].dt.month\n",
    "x_train = x_train.values.reshape(-1, 1)\n",
    "x_test = x_test.values.reshape(-1, 1)\n",
    "\n",
    "\n",
    "sysidentpy_AOLS = AOLS(\n",
    "    ylag=13, xlag=1,\n",
    "    k=2,\n",
    "    L=1,\n",
    "    model_type=\"NAR\",\n",
    "    basis_function=basis_function\n",
    ")\n",
    "sysidentpy_AOLS.fit(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(y=y_test, steps_ahead=None, forecast_horizon=23)\n",
    "aols_loss = loss(pd.Series(y_test.flatten()[sysidentpy_AOLS.max_lag:]), pd.Series(yhat.flatten()[sysidentpy_AOLS.max_lag:]))\n",
    "print(aols_loss)\n",
    "\n",
    "plot_results(y=y_test, yhat=yhat)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SysIdentPy MetaMSS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "255.67107436422856\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "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",
    "x_train = np.zeros_like(y_train)\n",
    "x_test = np.zeros_like(y_test)\n",
    "\n",
    "sysidentpy_metamss = MetaMSS(\n",
    "    basis_function=basis_function,\n",
    "    norm=-2,\n",
    "    xlag=1,\n",
    "    ylag=13,\n",
    "    estimator=\"least_squares\",\n",
    "    k_agents_percent=20,\n",
    "    estimate_parameter=True,\n",
    "    maxiter=50,\n",
    "    n_agents=15,\n",
    "    p_value=0.05,\n",
    "    loss_func='metamss_loss',\n",
    "    p_ones=0.5,\n",
    "    p_zeros=0.5,\n",
    "    model_type='NAR'\n",
    "    )\n",
    "sysidentpy_metamss.fit(y_train=y_train, y_test=y_test)\n",
    "\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(y_test=y_test, steps_ahead=None, forecast_horizon=23)\n",
    "metamss_loss = loss(pd.Series(y_test.flatten()[sysidentpy_metamss.max_lag:]), pd.Series(yhat.flatten()[sysidentpy_metamss.max_lag:]))\n",
    "print(metamss_loss)\n",
    "\n",
    "plot_results(y=y_test, yhat=yhat)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SysIdentPy Neural NARX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "513.5647101074171\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x576 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\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",
    "class NARX(nn.Module):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "        self.lin = nn.Linear(14, 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",
    "narx_net = NARXNN(net=NARX(),\n",
    "                   ylag=13,\n",
    "                   xlag=1,\n",
    "                   non_degree=1,\n",
    "                   loss_func='mse_loss',\n",
    "                   optimizer='Adam',\n",
    "                   epochs=900,\n",
    "                   verbose=False,\n",
    "                   learning_rate=2.5E-02,\n",
    "                   optim_params={} # optional parameters of the optimizer\n",
    ")\n",
    "\n",
    "train_dl = narx_net.data_transform(x_train, y_train)\n",
    "valid_dl = narx_net.data_transform(x_test, y_test)\n",
    "\n",
    "narx_net.fit(train_dl, valid_dl)\n",
    "yhat = narx_net.predict(x_test, y_test)\n",
    "narxnet_loss = loss(pd.Series(y_test.flatten()[-narx_net.max_lag:]), pd.Series(yhat.flatten()[-narx_net.max_lag:]))\n",
    "print(narxnet_loss)\n",
    "ee, ex, extras, lam = narx_net.residuals(x_test, y_test, yhat)\n",
    "narx_net.plot_result(y_test, yhat, ee, ex)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "121 23\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "910.5254076540349"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2590.05579491586"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1714.4753259340698"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2085.4261177106437"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7286.648720912862"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7448.434672875114"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1186.0045566050435"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "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": 15,
   "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": [
      "10-16 15:57:07 - 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": [
      "10-16 15:57:07 - 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": [
      "10-16 15:57:07 - 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": [
      "10-16 15:57:07 - 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": [
      "10-16 15:57:07 - INFO - Auto-set epochs to 264\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 80%|████████  | 80/100 [00:00<00:00, 1537.07it/s]\n",
      "INFO: nprophet - _lr_range_test: learning rate range test found optimal lr: 1.00E-02\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-16 15:57:08 - INFO - learning rate range test found optimal lr: 1.00E-02\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Epoch[264/264]: 100%|██████████| 264/264 [00:03<00:00, 81.31it/s, SmoothL1Loss=0.000321, MAE=6.34, RegLoss=0]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "548.2847336338752"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "set_random_seed(42)\n",
    "\n",
    "df = pd.read_csv(r\"C:\\Users\\wilso\\Downloads\\neural_prophet-master\\neural_prophet-master\\example_data\\air_passengers.csv\")\n",
    "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n",
    "df_train = df.iloc[:-23, :].copy()\n",
    "df_test = df.iloc[-23:, :].copy()\n",
    "# df_val['y'] = None\n",
    "\n",
    "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n",
    "\n",
    "metrics = m.fit(df_train, freq=\"MS\")\n",
    "\n",
    "future = m.make_future_dataframe(df_train, periods=23, n_historic_predictions=len(df_train))\n",
    "\n",
    "forecast = m.predict(future)\n",
    "# fig = m.plot(forecast)\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": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('SysIdentPy (MetaMSS)', 255.67107436422856),\n",
       " ('SysIdentPy (AOLS)', 476.6499631699247),\n",
       " ('SysIdentPy (Neural Model)', 513.5647101074171),\n",
       " ('NeuralProphet', 548.2847336338752),\n",
       " ('SysIdentPy (Polynomial Model)', 805.9521186912001),\n",
       " ('Exponential Smoothing', 910.5254076540349),\n",
       " ('Prophet', 1186.0045566050435),\n",
       " ('AutoArima', 1714.4753259340698),\n",
       " ('Manual Arima', 2085.4261177106437),\n",
       " ('ETS', 2590.05579491586),\n",
       " ('BATS', 7286.648720912862),\n",
       " ('TBATS', 7448.434672875114)]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results = {'Exponential Smoothing': es_loss, 'ETS': ets_loss, 'AutoArima': autoarima_loss,\n",
    " 'Manual Arima': manualarima_loss, 'BATS': bats_loss, 'TBATS': tbats_loss,\n",
    " 'Prophet': prophet_loss, 'SysIdentPy (Polynomial Model)': frols_loss,\n",
    " 'SysIdentPy (Neural Model)': narxnet_loss, 'SysIdentPy (AOLS)': aols_loss,\n",
    " 'SysIdentPy (MetaMSS)': metamss_loss, 'NeuralProphet': neuralprophet_loss}\n",
    "\n",
    "sorted(results.items(), key=lambda result: result[1])"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "d637594906b92e2064a8978fcd7d47bb213aa9d5bb48152798bc86e8ea48bb1d"
  },
  "kernelspec": {
   "display_name": "Python 3.8.11 64-bit ('neural_prophet': conda)",
   "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
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
