{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "daily-tower",
   "metadata": {},
   "source": [
    "# Identification of an electromechanical system\n",
    "\n",
    "Example created by Wilson Rocha Lacerda Junior\n",
    "\n",
    "More details about this data can be found in the following paper (in Portuguese): https://www.researchgate.net/publication/320418710_Identificacao_de_um_motorgerador_CC_por_meio_de_modelos_polinomiais_autorregressivos_e_redes_neurais_artificiais"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pip install sysidentpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "earlier-person",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sysidentpy.model_structure_selection import FROLS\n",
    "from sysidentpy.basis_function._basis_function import Polynomial\n",
    "from sysidentpy.metrics import root_relative_squared_error\n",
    "from sysidentpy.utils.generate_data import get_siso_data\n",
    "from sysidentpy.utils.display_results import results\n",
    "from sysidentpy.utils.plotting import plot_residues_correlation, plot_results\n",
    "from sysidentpy.residues.residues_correlation import compute_residues_autocorrelation, compute_cross_correlation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "peripheral-colors",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.read_csv('examples/datasets/x_cc.csv')\n",
    "df2 = pd.read_csv('examples/datasets/y_cc.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "legal-weapon",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df2[5000:80000].plot(figsize=(10, 4))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "competitive-pathology",
   "metadata": {},
   "outputs": [],
   "source": [
    "# we will decimate the data using d=500 in this example\n",
    "x_train, x_valid = np.split(df1.iloc[::500].values, 2)\n",
    "y_train, y_valid = np.split(df2.iloc[::500].values, 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "organized-springfield",
   "metadata": {},
   "source": [
    "## Building a Polynomial NARX model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "personal-easter",
   "metadata": {},
   "outputs": [],
   "source": [
    "basis_function = Polynomial(degree=2)\n",
    "\n",
    "model = FROLS(\n",
    "    order_selection=True,\n",
    "    n_info_values=40,\n",
    "    extended_least_squares=False,\n",
    "    ylag=2, xlag=2,\n",
    "    info_criteria='bic',\n",
    "    estimator='recursive_least_squares',\n",
    "    basis_function=basis_function\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "plastic-demographic",
   "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:472: UserWarning: 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 15 \n",
      "  self.info_values = self.information_criterion(reg_matrix, y)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.08011571455967419\n",
      "       Regressors   Parameters             ERR\n",
      "0          y(k-1)   1.3016E+00  9.86000384E-01\n",
      "1       x1(k-1)^2   1.0393E+02  7.94805130E-03\n",
      "2        y(k-2)^2   1.6288E-05  2.50905908E-03\n",
      "3   x1(k-1)y(k-1)  -1.2567E-01  1.43301039E-03\n",
      "4          y(k-2)  -5.0784E-01  1.02781443E-03\n",
      "5   x1(k-1)y(k-2)   5.6049E-02  5.35200312E-04\n",
      "6         x1(k-2)   3.4986E+02  2.79648078E-04\n",
      "7   x1(k-2)y(k-1)  -8.4030E-02  1.12211942E-04\n",
      "8  x1(k-2)x1(k-1)  -7.8186E+00  4.54743448E-05\n",
      "9   x1(k-2)y(k-2)   3.4050E-02  3.25346101E-05\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(X=x_train, y=y_train)\n",
    "yhat = model.predict(X=x_valid, y=y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "print(rrse)\n",
    "\n",
    "r = pd.DataFrame(\n",
    "    results(\n",
    "        model.final_model, model.theta, model.err,\n",
    "        model.n_terms, err_precision=8, dtype='sci'\n",
    "        ),\n",
    "    columns=['Regressors', 'Parameters', 'ERR'])\n",
    "print(r)\n",
    "\n",
    "plot_results(y=y_valid, yhat = yhat, n=1000)\n",
    "ee = compute_residues_autocorrelation(y_valid, yhat)\n",
    "plot_residues_correlation(data=ee, title=\"Residues\", ylabel=\"$e^2$\")\n",
    "x1e = compute_cross_correlation(y_valid, yhat, x_valid)\n",
    "plot_residues_correlation(data=x1e, title=\"Residues\", ylabel=\"$x_1e$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "introductory-bench",
   "metadata": {},
   "source": [
    "## Testing different autoregressive models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "binding-shelter",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-14 20:35:42 - INFO - Training the model\n",
      "10-14 20:35:42 - INFO - Creating the regressor matrix\n",
      "10-14 20:35:42 - INFO - The regressor matrix have 21 features\n",
      "10-14 20:35:42 - INFO - Done! Model is built!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\wilso\\Desktop\\projects\\GitHub\\sysidentpy\\sysidentpy\\utils\\deprecation.py:27: FutureWarning: Function __init__ has been deprecated since v0.1.7.\n",
      " Use NARXNN(ylag=2, xlag=2, basis_function='Some basis function') instead.This module was deprecated in favor of NARXNN(ylag=2, xlag=2, basis_function='Some basis function') module into which all the refactored classes and functions are moved.\n",
      " This feature will be removed in version v0.2.0.\n",
      "  warnings.warn(message, FutureWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KNeighborsRegressor 1.871\n",
      "10-14 20:35:42 - INFO - Training the model\n",
      "10-14 20:35:42 - INFO - Creating the regressor matrix\n",
      "10-14 20:35:42 - INFO - The regressor matrix have 21 features\n",
      "10-14 20:35:42 - INFO - Done! Model is built!\n",
      "NARX-DecisionTreeRegressor 0.137\n",
      "10-14 20:35:43 - INFO - Training the model\n",
      "10-14 20:35:43 - INFO - Creating the regressor matrix\n",
      "10-14 20:35:43 - INFO - The regressor matrix have 21 features\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\wilso\\Desktop\\projects\\GitHub\\sysidentpy\\sysidentpy\\general_estimators\\narx.py:161: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples,), for example using ravel().\n",
      "  self.base_estimator.fit(X, y, **self.fit_params)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10-14 20:35:43 - INFO - Done! Model is built!\n",
      "NARX-RandomForestRegressor 0.167\n",
      "10-14 20:35:47 - INFO - Training the model\n",
      "10-14 20:35:47 - INFO - Creating the regressor matrix\n",
      "10-14 20:35:47 - INFO - The regressor matrix have 21 features\n",
      "10-14 20:35:49 - INFO - Done! Model is built!\n",
      "NARX-Catboost 0.182\n",
      "10-14 20:35:50 - INFO - Training the model\n",
      "10-14 20:35:50 - INFO - Creating the regressor matrix\n",
      "10-14 20:35:50 - INFO - The regressor matrix have 231 features\n",
      "10-14 20:35:50 - INFO - Done! Model is built!\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\wilso\\miniconda3\\envs\\sysidentpy\\lib\\site-packages\\sklearn\\utils\\validation.py:63: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n",
      "  return f(*args, **kwargs)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NARX-ARD 0.075\n",
      "FROLS-Polynomial_NARX 0.047\n"
     ]
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "from sklearn.svm import SVC, LinearSVC, NuSVC\n",
    "from sklearn.tree import DecisionTreeRegressor\n",
    "from sklearn.ensemble import RandomForestRegressor, AdaBoostRegressor, GradientBoostingRegressor\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from catboost import CatBoostRegressor\n",
    "from sklearn.linear_model import BayesianRidge, ARDRegression\n",
    "from sysidentpy.general_estimators import NARX\n",
    "\n",
    "basis_function = Polynomial(degree=2)\n",
    "\n",
    "\n",
    "estimators = [\n",
    "    ('KNeighborsRegressor', NARX(\n",
    "        base_estimator=KNeighborsRegressor(),\n",
    "        xlag=10,\n",
    "        ylag=10)),\n",
    "    ('NARX-DecisionTreeRegressor', NARX(\n",
    "        base_estimator=DecisionTreeRegressor(),\n",
    "        xlag=10,\n",
    "        ylag=10)),\n",
    "    ('NARX-RandomForestRegressor', NARX(\n",
    "        base_estimator=RandomForestRegressor(\n",
    "            n_estimators=200),\n",
    "        xlag=10,\n",
    "        ylag=10,\n",
    "    )),\n",
    "    ('NARX-Catboost', NARX(\n",
    "        base_estimator=CatBoostRegressor(\n",
    "        iterations=800,\n",
    "        learning_rate=0.1,\n",
    "        depth=8),\n",
    "        xlag=10,\n",
    "        ylag=10,\n",
    "        non_degree=1,\n",
    "        fit_params={'verbose': False}\n",
    "    )),\n",
    "    ('NARX-ARD', NARX(\n",
    "        base_estimator=ARDRegression(),\n",
    "        xlag=10,\n",
    "        ylag=10,\n",
    "        non_degree=2\n",
    "    )),\n",
    "    ('FROLS-Polynomial_NARX', FROLS(\n",
    "        order_selection=True,\n",
    "        n_info_values=50,\n",
    "        extended_least_squares=False,\n",
    "        ylag=10, xlag=10,\n",
    "        info_criteria='bic',\n",
    "        estimator='recursive_least_squares',\n",
    "        basis_function=basis_function\n",
    "        )\n",
    "    ),\n",
    "    \n",
    "    ]\n",
    "\n",
    "resultados = {}\n",
    "for nome_do_modelo, modelo in estimators:\n",
    "    resultados['%s' % (nome_do_modelo)] = []\n",
    "    modelo.fit(X=x_train, y=y_train)\n",
    "    yhat = modelo.predict(X=x_valid, y=y_valid)\n",
    "    result = root_relative_squared_error(y_valid[modelo.max_lag:], yhat[modelo.max_lag:])\n",
    "    resultados['%s' % (nome_do_modelo)].append(result)\n",
    "    print(nome_do_modelo, '%.3f' % np.mean(result))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "pursuant-appreciation",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FROLS-Polynomial_NARX 0.04663897799085836\n",
      "NARX-ARD 0.07507698375814373\n",
      "NARX-DecisionTreeRegressor 0.1370352822444405\n",
      "NARX-RandomForestRegressor 0.16746617689296395\n",
      "NARX-Catboost 0.1818567377511571\n",
      "KNeighborsRegressor 1.8710938813353852\n"
     ]
    }
   ],
   "source": [
    "for aux_results, results in sorted(resultados.items(), key=lambda x: np.mean(x[1]), reverse=False):\n",
    "    print(aux_results, np.mean(results))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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