27_adida_imapa.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6027e279",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from statsforecast import StatsForecast\n",
    "from statsforecast.models import CrostonOptimized\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "89c57f05",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (9,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "224ffed1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>unique_id</th>\n",
       "      <th>ds</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>2023-01-01 00:00:00</td>\n",
       "      <td>43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>2023-01-01 01:00:00</td>\n",
       "      <td>87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>2023-01-01 02:00:00</td>\n",
       "      <td>89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>2023-01-01 03:00:00</td>\n",
       "      <td>87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>2023-01-01 04:00:00</td>\n",
       "      <td>73</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   unique_id                   ds   y\n",
       "0          1  2023-01-01 00:00:00  43\n",
       "1          1  2023-01-01 01:00:00  87\n",
       "2          1  2023-01-01 02:00:00  89\n",
       "3          1  2023-01-01 03:00:00  87\n",
       "4          1  2023-01-01 04:00:00  73"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('data/intermittent_time_series.csv')\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df4c6ea3",
   "metadata": {},
   "source": [
    "## ADIDA "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "58b6750d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsforecast.models import ADIDA\n",
    "\n",
    "models = [CrostonOptimized(), ADIDA()]\n",
    "\n",
    "sf = StatsForecast(\n",
    "    df=df,\n",
    "    models=models,\n",
    "    freq='H',\n",
    "    n_jobs=-1\n",
    ")\n",
    "\n",
    "cv_df = sf.cross_validation(\n",
    "    df=df,\n",
    "    h=1,\n",
    "    step_size=1,\n",
    "    n_windows=50\n",
    ")\n",
    "\n",
    "cv_df.index = np.arange(50, 100, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "768d18c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10,8))\n",
    "\n",
    "ax.bar(df.index, df['y'], color='lightgray')\n",
    "ax.plot(cv_df.index, cv_df['CrostonOptimized'], ls='--', label='Croston (optimized)')\n",
    "ax.plot(cv_df.index, cv_df['ADIDA'], ls=':', label='ADIDA')\n",
    "ax.set_ylabel('Value')\n",
    "ax.set_xlabel('Time steps')\n",
    "ax.legend(loc='best')\n",
    "plt.xlim(40, 100)\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "feed0476",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE Croston: 31.68775177001953\n",
      "MAE ADIDA: 30.451702117919922\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import mean_absolute_error\n",
    "\n",
    "mae_croston = mean_absolute_error(cv_df['y'], cv_df['CrostonOptimized'])\n",
    "mae_adida = mean_absolute_error(cv_df['y'], cv_df['ADIDA'])\n",
    "\n",
    "print(f'MAE Croston: {mae_croston}')\n",
    "print(f'MAE ADIDA: {mae_adida}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f28706aa",
   "metadata": {},
   "source": [
    "## IMAPA "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "8ed3259f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsforecast.models import IMAPA\n",
    "\n",
    "models = [ADIDA(), IMAPA()]\n",
    "\n",
    "sf = StatsForecast(\n",
    "    df=df,\n",
    "    models=models,\n",
    "    freq='H',\n",
    "    n_jobs=-1\n",
    ")\n",
    "\n",
    "cv_df = sf.cross_validation(\n",
    "    df=df,\n",
    "    h=1,\n",
    "    step_size=1,\n",
    "    n_windows=50\n",
    ")\n",
    "\n",
    "cv_df.index = np.arange(50, 100, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "0e7710e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10,8))\n",
    "\n",
    "ax.bar(df.index, df['y'], color='lightgray')\n",
    "ax.plot(cv_df.index, cv_df['IMAPA'], ls='--', label='IMAPA')\n",
    "ax.plot(cv_df.index, cv_df['ADIDA'], ls=':', label='ADIDA')\n",
    "ax.set_ylabel('Value')\n",
    "ax.set_xlabel('Time steps')\n",
    "ax.legend(loc='best')\n",
    "plt.xlim(40, 100)\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "87d6cbe5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAE Croston: 30.451702117919922\n",
      "MAE ADIDA: 30.451702117919922\n"
     ]
    }
   ],
   "source": [
    "mae_imapa = mean_absolute_error(cv_df['y'], cv_df['IMAPA'])\n",
    "mae_adida = mean_absolute_error(cv_df['y'], cv_df['ADIDA'])\n",
    "\n",
    "print(f'MAE Croston: {mae_imapa}')\n",
    "print(f'MAE ADIDA: {mae_adida}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a98074fa",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}