File size: 135,617 Bytes
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\kimi\\AppData\\Local\\Temp\\ipykernel_24648\\3063957790.py:4: MatplotlibDeprecationWarning: The seaborn styles shipped by Matplotlib are deprecated since 3.6, as they no longer correspond to the styles shipped by seaborn. However, they will remain available as 'seaborn-v0_8-<style>'. Alternatively, directly use the seaborn API instead.\n",
      "  plt.style.use('seaborn-whitegrid')\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "\n",
    "version = 9\n",
    "\n",
    "# Read the metrics from the CSV file\n",
    "metrics_df = pd.read_csv(f'./output/version_{version}/training_metrics_{version}.csv')\n",
    "\n",
    "# Plotting Training vs Validation Loss\n",
    "plt.figure(figsize=(12, 6))\n",
    "sns.lineplot(data=metrics_df, x='epoch', y='train_loss', label='Training Loss')\n",
    "sns.lineplot(data=metrics_df, x='epoch', y='val_loss', label='Validation Loss')\n",
    "plt.title('Training vs Validation Loss (LSTM)')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting Training vs Validation Accuracy\n",
    "plt.figure(figsize=(12, 6))\n",
    "sns.lineplot(data=metrics_df, x='epoch',\n",
    "             y='train_accuracy', label='Training Accuracy')\n",
    "sns.lineplot(data=metrics_df, x='epoch', y='val_accuracy',\n",
    "             label='Validation Accuracy')\n",
    "plt.title('Training vs Validation Accuracy (LSTM)')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "# Read CSV file\n",
    "data = pd.read_csv(f'./output/version_{version}/confusion_matrix_data_{version}.csv')\n",
    "true_labels = data['True']\n",
    "predicted_labels = data['Predicted']\n",
    "\n",
    "# Compute confusion matrix\n",
    "cm = confusion_matrix(true_labels, predicted_labels)\n",
    "\n",
    "# Plotting\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.heatmap(cm, annot=True, fmt=\"d\", cmap='Blues')\n",
    "plt.title('Confusion Matrix (LSTM, Test Set)')\n",
    "plt.ylabel('True label')\n",
    "plt.xlabel('Predicted label')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "torch",
   "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": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}