File size: 146,400 Bytes
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\kimi\\AppData\\Local\\Temp\\ipykernel_4608\\2487993018.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 = 2\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 with GloVe Embeddings)')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Loss')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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 with GloVe Embeddings)')\n",
    "plt.xlabel('Epoch')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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 with GloVe Embeddings, Test Set)')\n",
    "plt.ylabel('True label')\n",
    "plt.xlabel('Predicted label')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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