{
 "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 pandas as pd\n",
    "import numpy as np\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sysidentpy.polynomial_basis import PolynomialNarmax\n",
    "from sysidentpy.metrics import root_relative_squared_error\n",
    "from sysidentpy.utils.generate_data import get_miso_data, get_siso_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "peripheral-colors",
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = pd.read_csv('data/x_cc.csv')\n",
    "df2 = pd.read_csv('data/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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\n",
      "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": [
    "model = PolynomialNarmax(non_degree=2,\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",
    "                         )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "plastic-demographic",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\wilso\\miniconda3\\envs\\v0.1.4\\lib\\site-packages\\sysidentpy\\polynomial_basis\\narmax.py:333: 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(X, y)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.08011571455094049\n",
      "       Regressors Parameters         ERR\n",
      "0          y(k-1)     1.3016  0.98600038\n",
      "1       x1(k-1)^2   103.9300  0.00794805\n",
      "2        y(k-2)^2     0.0000  0.00250906\n",
      "3   x1(k-1)y(k-1)    -0.1257  0.00143301\n",
      "4          y(k-2)    -0.5078  0.00102781\n",
      "5   x1(k-1)y(k-2)     0.0560  0.00053520\n",
      "6         x1(k-2)   349.8627  0.00027965\n",
      "7   x1(k-2)y(k-1)    -0.0840  0.00011221\n",
      "8  x1(k-2)x1(k-1)    -7.8186  0.00004547\n",
      "9   x1(k-2)y(k-2)     0.0341  0.00003253\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x576 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fit(x_train, y_train)\n",
    "yhat = model.predict(x_valid, y_valid)\n",
    "rrse = root_relative_squared_error(y_valid, yhat)\n",
    "print(rrse)\n",
    "results = pd.DataFrame(model.results(err_precision=8,\n",
    "                                     dtype='dec'),\n",
    "                       columns=['Regressors', 'Parameters', 'ERR'])\n",
    "\n",
    "print(results)\n",
    "\n",
    "ee, ex, extras, lam = model.residuals(x_valid, y_valid, yhat)\n",
    "model.plot_result(y_valid, yhat, ee, ex, n=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "introductory-bench",
   "metadata": {},
   "source": [
    "## Testing different autoregressive models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "binding-shelter",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "03-08 22:53:49 - INFO - Training the model\n",
      "03-08 22:53:49 - INFO - Creating the regressor matrix\n",
      "03-08 22:53:49 - INFO - The regressor matrix have 21 features\n",
      "03-08 22:53:49 - INFO - Done! Model is built!\n",
      "KNeighborsRegressor 1.833\n",
      "03-08 22:53:50 - INFO - Training the model\n",
      "03-08 22:53:50 - INFO - Creating the regressor matrix\n",
      "03-08 22:53:50 - INFO - The regressor matrix have 21 features\n",
      "03-08 22:53:50 - INFO - Done! Model is built!\n",
      "DecisionTreeRegressor 0.346\n",
      "03-08 22:53:50 - INFO - Training the model\n",
      "03-08 22:53:50 - INFO - Creating the regressor matrix\n",
      "03-08 22:53:50 - INFO - The regressor matrix have 21 features\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\wilso\\miniconda3\\envs\\v0.1.4\\lib\\site-packages\\sysidentpy\\general_estimators\\narx.py:154: 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": [
      "03-08 22:53:51 - INFO - Done! Model is built!\n",
      "RandomForestRegressor 0.178\n",
      "03-08 22:54:03 - INFO - Training the model\n",
      "03-08 22:54:03 - INFO - Creating the regressor matrix\n",
      "03-08 22:54:03 - INFO - The regressor matrix have 21 features\n",
      "03-08 22:54:12 - INFO - Done! Model is built!\n",
      "Catboost_NARX 0.179\n",
      "03-08 22:54:13 - INFO - Training the model\n",
      "03-08 22:54:13 - INFO - Creating the regressor matrix\n",
      "03-08 22:54:13 - INFO - The regressor matrix have 231 features\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\wilso\\miniconda3\\envs\\v0.1.4\\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": [
      "03-08 22:54:14 - INFO - Done! Model is built!\n",
      "ARD_NARX 0.074\n",
      "Polynomial_NARX 0.032\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",
    "\n",
    "estimators = [\n",
    "    ('KNeighborsRegressor', NARX(\n",
    "        base_estimator=KNeighborsRegressor(),\n",
    "        xlag=10,\n",
    "        ylag=10)),\n",
    "    ('DecisionTreeRegressor', NARX(\n",
    "        base_estimator=DecisionTreeRegressor(),\n",
    "        xlag=10,\n",
    "        ylag=10)),\n",
    "    ('RandomForestRegressor', NARX(\n",
    "        base_estimator=RandomForestRegressor(\n",
    "            n_estimators=200),\n",
    "        xlag=10,\n",
    "        ylag=10,\n",
    "    )),\n",
    "    ('Catboost_NARX', 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",
    "    ('ARD_NARX', NARX(\n",
    "        base_estimator=ARDRegression(),\n",
    "        xlag=10,\n",
    "        ylag=10,\n",
    "        non_degree=2\n",
    "    )),\n",
    "    ('Polynomial_NARX', PolynomialNarmax(non_degree=2,\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",
    "                         )),\n",
    "    \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_train, y_train)\n",
    "    yhat = modelo.predict(x_valid,  y_valid)\n",
    "    result = root_relative_squared_error(y_valid, yhat)\n",
    "    resultados['%s' % (nome_do_modelo)].append(result)\n",
    "    print(nome_do_modelo, '%.3f' % np.mean(result))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "pursuant-appreciation",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Polynomial_NARX 0.03208119098997185\n",
      "ARD_NARX 0.07364659571266981\n",
      "RandomForestRegressor 0.17752025859574144\n",
      "Catboost_NARX 0.17923040407121107\n",
      "DecisionTreeRegressor 0.3457206837080308\n",
      "KNeighborsRegressor 1.833370478725381\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))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:v0.1.4] *",
   "language": "python",
   "name": "conda-env-v0.1.4-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.6"
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 },
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}