{ "cells": [ { "cell_type": "markdown", "id": "a1b2c3d4", "metadata": {}, "source": [ "# Model Evaluation\n", "\n", "This notebook loads the trained model from `artifact/model.pkl` and evaluates it on the held-out test set.\n", "\n", "The model was trained on an H100 GPU via Modal (`train_model.py`) using:\n", "1. GridSearchCV across 5 models (RF, GBM, XGBoost, LightGBM, CatBoost)\n", "2. Stacking ensemble from the top 3 models\n", "3. Threshold tuning (maximize accuracy with denied recall >= 60%)\n", "\n", "**Selected model**: ThresholdClassifier(GradientBoostingClassifier, threshold=0.37)" ] }, { "cell_type": "markdown", "id": "b1c2d3e4", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 8, "id": "c1d2e3f4", "metadata": {}, "outputs": [], "source": [ "import os\n", "import sys\n", "import types\n", "import pickle\n", "from datetime import date\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.metrics import (\n", " accuracy_score,\n", " f1_score,\n", " precision_score,\n", " recall_score,\n", " classification_report,\n", " confusion_matrix,\n", ")\n", "\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "# Pickle needs ThresholdClassifier to exist in the module before loading\n", "import visa_approval_prediction.entity.estimator as _est\n", "\n", "class ThresholdClassifier:\n", " def __init__(self, base_model, threshold=0.5):\n", " self.base_model = base_model\n", " self.threshold = threshold\n", " def predict(self, X):\n", " proba = self.base_model.predict_proba(X)[:, 1]\n", " return (proba >= self.threshold).astype(int)\n", " def predict_proba(self, X):\n", " return self.base_model.predict_proba(X)\n", "\n", "_est.ThresholdClassifier = ThresholdClassifier\n", "\n", "os.makedirs(\"../figures\", exist_ok=True)" ] }, { "cell_type": "markdown", "id": "d1e2f3a4", "metadata": {}, "source": [ "## 1. Load Saved Model" ] }, { "cell_type": "code", "execution_count": 9, "id": "e1f2a3b4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded model: ThresholdClassifier()\n", "Classifier: <__main__.ThresholdClassifier object at 0x000002B7724E4D70>\n", "Preprocessor: ColumnTransformer\n" ] } ], "source": [ "with open(\"../artifact/model.pkl\", \"rb\") as f:\n", " model = pickle.load(f)\n", "\n", "# The old installed visaModel may lack predict_proba — add it if missing\n", "if not hasattr(model, \"predict_proba\"):\n", " def _predict_proba(self, dataframe):\n", " transformed = self.preprocessing_object.transform(dataframe)\n", " return self.trained_model_object.predict_proba(transformed)\n", " type(model).predict_proba = _predict_proba\n", "\n", "print(f\"Loaded model: {model}\")\n", "print(f\"Classifier: {model.trained_model_object}\")\n", "print(f\"Preprocessor: {type(model.preprocessing_object).__name__}\")" ] }, { "cell_type": "markdown", "id": "f1a2b3c4", "metadata": {}, "source": [ "## 2. Reproduce Test Split\n", "\n", "Using the same feature engineering and `train_test_split(random_state=42, stratify=y)` as training to get the identical test set." ] }, { "cell_type": "code", "execution_count": 10, "id": "a2b3c4d5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Test set: 5096 samples\n", " Certified: 3404, Denied: 1692\n" ] } ], "source": [ "df = pd.read_csv(\"../EasyVisa.csv\")\n", "\n", "# Feature engineering (same as train_model.py)\n", "current_year = date.today().year\n", "df[\"company_age\"] = current_year - df[\"yr_of_estab\"]\n", "df.drop(columns=[\"case_id\", \"yr_of_estab\"], inplace=True)\n", "\n", "# Encode target\n", "df[\"case_status\"] = df[\"case_status\"].map({\"Certified\": 0, \"Denied\": 1})\n", "\n", "X = df.drop(columns=[\"case_status\"])\n", "y = df[\"case_status\"]\n", "\n", "# Same split as training\n", "_, X_test, _, y_test = train_test_split(\n", " X, y, test_size=0.2, random_state=42, stratify=y\n", ")\n", "\n", "print(f\"Test set: {X_test.shape[0]} samples\")\n", "print(f\" Certified: {(y_test == 0).sum()}, Denied: {(y_test == 1).sum()}\")" ] }, { "cell_type": "markdown", "id": "b2c3d4e5", "metadata": {}, "source": [ "## 3. Generate Predictions" ] }, { "cell_type": "code", "execution_count": 11, "id": "c2d3e4f5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.7323\n", "F1 Score: 0.6035\n", "Precision: 0.5938\n", "Denied Recall: 0.6135\n", "\n", " precision recall f1-score support\n", "\n", " Certified 0.80 0.79 0.80 3404\n", " Denied 0.59 0.61 0.60 1692\n", "\n", " accuracy 0.73 5096\n", " macro avg 0.70 0.70 0.70 5096\n", "weighted avg 0.73 0.73 0.73 5096\n", "\n" ] } ], "source": [ "y_pred = model.predict(X_test)\n", "y_proba = model.predict_proba(X_test)[:, 1]\n", "\n", "acc = accuracy_score(y_test, y_pred)\n", "f1 = f1_score(y_test, y_pred)\n", "prec = precision_score(y_test, y_pred)\n", "denied_recall = recall_score(y_test, y_pred, pos_label=1)\n", "\n", "print(f\"Accuracy: {acc:.4f}\")\n", "print(f\"F1 Score: {f1:.4f}\")\n", "print(f\"Precision: {prec:.4f}\")\n", "print(f\"Denied Recall: {denied_recall:.4f}\")\n", "print()\n", "print(classification_report(y_test, y_pred, target_names=[\"Certified\", \"Denied\"]))" ] }, { "cell_type": "markdown", "id": "d2e3f4a5", "metadata": {}, "source": [ "## 4. Confusion Matrix (Figure 7)" ] }, { "cell_type": "code", "execution_count": 12, "id": "e2f3a4b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "TN=2694, FP=710, FN=654, TP=1038\n" ] } ], "source": [ "cm = confusion_matrix(y_test, y_pred)\n", "\n", "fig, ax = plt.subplots(figsize=(7, 5))\n", "sns.heatmap(\n", " cm, annot=True, fmt=\"d\", cmap=\"Blues\",\n", " xticklabels=[\"Certified\", \"Denied\"],\n", " yticklabels=[\"Certified\", \"Denied\"],\n", " ax=ax,\n", ")\n", "ax.set_xlabel(\"Predicted\")\n", "ax.set_ylabel(\"Actual\")\n", "ax.set_title(\"Confusion Matrix — ThresholdClassifier(GBM, t=0.37)\")\n", "plt.tight_layout()\n", "plt.savefig(\"../figures/fig7_confusion_matrix.png\", dpi=150, bbox_inches=\"tight\")\n", "plt.show()\n", "\n", "print(f\"\\nTN={cm[0,0]}, FP={cm[0,1]}, FN={cm[1,0]}, TP={cm[1,1]}\")" ] }, { "cell_type": "markdown", "id": "f2a3b4c5", "metadata": {}, "source": [ "## 5. Threshold Tuning Curve (Figure 8)\n", "\n", "The model's base GradientBoostingClassifier outputs probabilities. The optimal threshold (0.37) was chosen to maximize accuracy while keeping denied recall >= 60%." ] }, { "cell_type": "code", "execution_count": 13, "id": "a3b4c5d6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thresholds = np.arange(0.20, 0.81, 0.01)\n", "accuracies = []\n", "denied_recalls = []\n", "f1_scores = []\n", "\n", "for t in thresholds:\n", " y_pred_t = (y_proba >= t).astype(int)\n", " accuracies.append(accuracy_score(y_test, y_pred_t))\n", " denied_recalls.append(recall_score(y_test, y_pred_t, pos_label=1, zero_division=0))\n", " f1_scores.append(f1_score(y_test, y_pred_t, zero_division=0))\n", "\n", "fig, ax = plt.subplots(figsize=(10, 6))\n", "ax.plot(thresholds, accuracies, label=\"Accuracy\", linewidth=2)\n", "ax.plot(thresholds, denied_recalls, label=\"Denied Recall\", linewidth=2)\n", "ax.plot(thresholds, f1_scores, label=\"F1 Score\", linewidth=2, linestyle=\"--\")\n", "\n", "# Mark the selected threshold\n", "ax.axvline(x=0.37, color=\"red\", linestyle=\":\", linewidth=1.5, label=\"Selected (t=0.37)\")\n", "# Mark the default threshold\n", "ax.axvline(x=0.50, color=\"gray\", linestyle=\":\", linewidth=1, alpha=0.6, label=\"Default (t=0.50)\")\n", "\n", "# Mark the denied recall constraint\n", "ax.axhline(y=0.60, color=\"orange\", linestyle=\"--\", linewidth=1, alpha=0.5, label=\"Denied Recall >= 60%\")\n", "\n", "ax.set_xlabel(\"Decision Threshold\", fontsize=12)\n", "ax.set_ylabel(\"Score\", fontsize=12)\n", "ax.set_title(\"Threshold Tuning — Accuracy vs Denied Recall Trade-off\", fontsize=13)\n", "ax.legend(loc=\"lower left\", fontsize=10)\n", "ax.set_xlim(0.20, 0.80)\n", "ax.set_ylim(0.0, 1.0)\n", "ax.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.savefig(\"../figures/fig8_threshold_tuning.png\", dpi=150, bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b3c4d5e6", "metadata": {}, "source": [ "## 6. Model Comparison (Figure 9)\n", "\n", "Results from `modal run train_model.py` — all models trained on the same train/test split with GridSearchCV (5-fold CV, accuracy scoring)." ] }, { "cell_type": "code", "execution_count": 14, "id": "c3d4e5f6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Model Accuracy F1 Denied Recall\n", " Random Forest 0.738 0.550 0.481\n", " Gradient Boosting 0.747 0.569 0.504\n", " XGBoost 0.746 0.567 0.502\n", " LightGBM 0.731 0.592 0.587\n", " CatBoost 0.722 0.595 0.615\n", " Stacking (top 3) 0.746 0.572 0.513\n", "GBM + Threshold (0.37) 0.732 0.604 0.614\n" ] } ], "source": [ "# Results from Modal training run\n", "comparison = pd.DataFrame({\n", " \"Model\": [\n", " \"Random Forest\",\n", " \"Gradient Boosting\",\n", " \"XGBoost\",\n", " \"LightGBM\",\n", " \"CatBoost\",\n", " \"Stacking (top 3)\",\n", " \"GBM + Threshold (0.37)\",\n", " ],\n", " \"Accuracy\": [0.738, 0.747, 0.746, 0.731, 0.722, 0.746, 0.732],\n", " \"F1\": [0.550, 0.569, 0.567, 0.592, 0.595, 0.572, 0.604],\n", " \"Denied Recall\": [0.481, 0.504, 0.502, 0.587, 0.615, 0.513, 0.614],\n", "})\n", "\n", "print(comparison.to_string(index=False))" ] }, { "cell_type": "code", "execution_count": 15, "id": "d3e4f5a6", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(14, 6))\n", "\n", "colors = [\"#4C72B0\"] * 5 + [\"#55A868\", \"#C44E52\"]\n", "\n", "# Accuracy\n", "bars1 = axes[0].barh(comparison[\"Model\"], comparison[\"Accuracy\"], color=colors)\n", "axes[0].set_xlabel(\"Test Accuracy\", fontsize=11)\n", "axes[0].set_title(\"Test Accuracy by Model\", fontsize=13)\n", "axes[0].set_xlim(0.68, 0.78)\n", "for bar, val in zip(bars1, comparison[\"Accuracy\"]):\n", " axes[0].text(val + 0.002, bar.get_y() + bar.get_height() / 2,\n", " f\"{val:.1%}\", va=\"center\", fontsize=9)\n", "\n", "# Denied Recall\n", "bars2 = axes[1].barh(comparison[\"Model\"], comparison[\"Denied Recall\"], color=colors)\n", "axes[1].set_xlabel(\"Denied Recall\", fontsize=11)\n", "axes[1].set_title(\"Denied Recall by Model\", fontsize=13)\n", "axes[1].set_xlim(0.40, 0.70)\n", "for bar, val in zip(bars2, comparison[\"Denied Recall\"]):\n", " axes[1].text(val + 0.005, bar.get_y() + bar.get_height() / 2,\n", " f\"{val:.1%}\", va=\"center\", fontsize=9)\n", "\n", "plt.suptitle(\"Model Comparison — GridSearchCV + Stacking + Threshold Tuning\", fontsize=14, y=1.02)\n", "plt.tight_layout()\n", "plt.savefig(\"../figures/fig9_model_comparison.png\", dpi=150, bbox_inches=\"tight\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e3f4a5b6", "metadata": {}, "source": [ "## 7. Key Takeaways\n", "\n", "1. **Gradient Boosting** had the highest individual accuracy (74.7%) but only 50.4% denied recall at the default 0.5 threshold.\n", "2. **CatBoost** achieved the best native denied recall (61.5%) due to its built-in class weighting, but at lower accuracy (72.2%).\n", "3. **Stacking** did not improve over the best individual model — the top 3 models (RF, GBM, XGB) are too architecturally similar to provide diversity gains.\n", "4. **Threshold tuning** on Gradient Boosting (lowering threshold from 0.50 to 0.37) traded 1.5% accuracy for +11% denied recall — the best balance for an advisory tool.\n", "\n", "**Final model**: `ThresholdClassifier(GradientBoostingClassifier, threshold=0.37)` — **73.2% accuracy**, **61.4% denied recall**." ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }