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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5fc0fcd0",
   "metadata": {},
   "source": [
    "# Hyperparameter Importance Plot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd2b7823",
   "metadata": {},
   "source": [
    "### Baseline + Optuna"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f9db49ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Hyperparameter importance data\n",
    "hyperparams = ['learning_rate', 'num_leaves', 'lambda_l2', 'lambda_l1', \n",
    "               'num_boost_round', 'min_data_in_leaf', 'feature_fraction', 'max_depth']\n",
    "importance = [0.4382, 0.1419, 0.1327, 0.1084, 0.0812, 0.0544, 0.0342, 0.0091]\n",
    "\n",
    "# Sort by importance (ascending for reversed display)\n",
    "sorted_indices = sorted(range(len(importance)), key=lambda i: importance[i])\n",
    "sorted_hyperparams = [hyperparams[i] for i in sorted_indices]\n",
    "sorted_importance = [importance[i] for i in sorted_indices]\n",
    "\n",
    "# Create horizontal bar plot\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "bars = ax.barh(sorted_hyperparams, sorted_importance, color='#6B8BF3')\n",
    "\n",
    "# Add value labels on bars\n",
    "for i, (bar, value) in enumerate(zip(bars, sorted_importance)):\n",
    "    ax.text(value + 0.01, i, f'{value:.2f}', va='center', fontsize=10)\n",
    "\n",
    "# Customize plot\n",
    "ax.set_xlabel('Hyperparameter Importance', fontsize=12)\n",
    "ax.set_ylabel('Hyperparameter', fontsize=12)\n",
    "ax.set_xlim(0, max(sorted_importance) * 1.15)\n",
    "ax.grid(axis='x', alpha=0.3, linestyle='--')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c827c09e",
   "metadata": {},
   "source": [
    "### RUS + Optuna"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5d757d91",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Hyperparameter importance data\n",
    "hyperparams = ['learning_rate', 'num_leaves', 'lambda_l2', 'lambda_l1', \n",
    "               'num_boost_round', 'min_data_in_leaf', 'feature_fraction', 'max_depth']\n",
    "importance = [0.1853, 0.1720, 0.1574, 0.0290, 0.1655, 0.1179, 0.1442, 0.0276]\n",
    "\n",
    "# Sort by importance (ascending for reversed display)\n",
    "sorted_indices = sorted(range(len(importance)), key=lambda i: importance[i])\n",
    "sorted_hyperparams = [hyperparams[i] for i in sorted_indices]\n",
    "sorted_importance = [importance[i] for i in sorted_indices]\n",
    "\n",
    "# Create horizontal bar plot\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "bars = ax.barh(sorted_hyperparams, sorted_importance, color='#6B8BF3')\n",
    "\n",
    "# Add value labels on bars\n",
    "for i, (bar, value) in enumerate(zip(bars, sorted_importance)):\n",
    "    ax.text(value + 0.01, i, f'{value:.2f}', va='center', fontsize=10)\n",
    "\n",
    "# Customize plot\n",
    "ax.set_xlabel('Hyperparameter Importance', fontsize=12)\n",
    "ax.set_ylabel('Hyperparameter', fontsize=12)\n",
    "ax.set_xlim(0, max(sorted_importance) * 1.15)\n",
    "ax.grid(axis='x', alpha=0.3, linestyle='--')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6518cb74",
   "metadata": {},
   "source": [
    "### SMOTE + Optuna"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5fabe249",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Hyperparameter importance data\n",
    "hyperparams = ['learning_rate', 'num_leaves', 'lambda_l2', 'lambda_l1', \n",
    "               'num_boost_round', 'min_data_in_leaf', 'feature_fraction', 'max_depth']\n",
    "importance = [0.3265, 0.1482, 0.1339, 0.0308, 0.1356, 0.0554, 0.1476, 0.0219]\n",
    "\n",
    "# Sort by importance (ascending for reversed display)\n",
    "sorted_indices = sorted(range(len(importance)), key=lambda i: importance[i])\n",
    "sorted_hyperparams = [hyperparams[i] for i in sorted_indices]\n",
    "sorted_importance = [importance[i] for i in sorted_indices]\n",
    "\n",
    "# Create horizontal bar plot\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "bars = ax.barh(sorted_hyperparams, sorted_importance, color='#6B8BF3')\n",
    "\n",
    "# Add value labels on bars\n",
    "for i, (bar, value) in enumerate(zip(bars, sorted_importance)):\n",
    "    ax.text(value + 0.01, i, f'{value:.2f}', va='center', fontsize=10)\n",
    "\n",
    "# Customize plot\n",
    "ax.set_xlabel('Hyperparameter Importance', fontsize=12)\n",
    "ax.set_ylabel('Hyperparameter', fontsize=12)\n",
    "ax.set_xlim(0, max(sorted_importance) * 1.15)\n",
    "ax.grid(axis='x', alpha=0.3, linestyle='--')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcaff629",
   "metadata": {},
   "source": [
    "### SMOTE-RUS + Optuna"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5ec22de8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Hyperparameter importance data\n",
    "hyperparams = ['learning_rate', 'num_leaves', 'lambda_l2', 'lambda_l1', \n",
    "               'num_boost_round', 'min_data_in_leaf', 'feature_fraction', 'max_depth']\n",
    "importance = [0.1782, 0.1858, 0.1823, 0.0167, 0.1463, 0.1437, 0.1275, 0.0193]\n",
    "\n",
    "# Sort by importance (ascending for reversed display)\n",
    "sorted_indices = sorted(range(len(importance)), key=lambda i: importance[i])\n",
    "sorted_hyperparams = [hyperparams[i] for i in sorted_indices]\n",
    "sorted_importance = [importance[i] for i in sorted_indices]\n",
    "\n",
    "# Create horizontal bar plot\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "bars = ax.barh(sorted_hyperparams, sorted_importance, color='#6B8BF3')\n",
    "\n",
    "# Add value labels on bars\n",
    "for i, (bar, value) in enumerate(zip(bars, sorted_importance)):\n",
    "    ax.text(value + 0.01, i, f'{value:.2f}', va='center', fontsize=10)\n",
    "\n",
    "# Customize plot\n",
    "ax.set_xlabel('Hyperparameter Importance', fontsize=12)\n",
    "ax.set_ylabel('Hyperparameter', fontsize=12)\n",
    "ax.set_xlim(0, max(sorted_importance) * 1.15)\n",
    "ax.grid(axis='x', alpha=0.3, linestyle='--')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}