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PD_model.py
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"""
#!/usr/bin/python3
Author : Mahbub Alam
File : PD_model.py
Created : 2025-08
Description : Credit Risk Analysis using the German Credit dataset. # {{{
# }}}
"""
from data_quality_checks_and_EDA import quality_checks_and_eda
def pd_model(df):
import numpy as np
np.set_printoptions(precision=3)
# ====================[[ PD model ]]====================={{{
print(f"")
print(68*"=")
print(f"==={24*'='}[[ PD model ]]{24*'='}===\n")
# ==========================================================
"""# {{{
This is the Probability of Default (PD) modeling step (Basel/IFRS 9).
- Train Logistic Regression model to predict PD.
- Use preprocessing pipeline with scaling + one-hot encoding.
- Tune hyperparameters via GridSearchCV (refit on ROC-AUC).
- Calibrate final model using isotonic regression to align predicted PDs with observed default rates (CalibratedClassifierCV).
"""# }}}
from sklearn.model_selection import train_test_split, GridSearchCV, StratifiedKFold
from sklearn.compose import ColumnTransformer
from sklearn.preprocessing import StandardScaler, OneHotEncoder
from sklearn.pipeline import Pipeline
from sklearn.linear_model import LogisticRegression
from sklearn.calibration import CalibratedClassifierCV
from sklearn.metrics import (roc_auc_score, brier_score_loss,
make_scorer, average_precision_score, roc_curve,
confusion_matrix, accuracy_score, recall_score)
X = df.drop(columns=['Risk']).copy()
y = df['Risk']
num_features = X.columns[X.dtypes.apply(lambda dt : np.issubdtype(dt, np.number))].tolist()
cat_features = [col for col in X.columns if col not in num_features]
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size = 0.2, random_state = 42, stratify=y)
pre = ColumnTransformer(
transformers = [
("num", StandardScaler(), num_features),
("cat", OneHotEncoder(), cat_features)
])
pd_pipe = Pipeline([
("pre", pre),
("logreg", LogisticRegression(max_iter = 1000, solver = "liblinear", random_state = 1))
])
hparams = {
'logreg__penalty': ['l1', 'l2'],
'logreg__C': np.logspace(-3, 3, 13),
'logreg__class_weight': [None, 'balanced'],
'logreg__fit_intercept': [True, False],
'logreg__tol': [1e-4, 1e-5]
}
cv = StratifiedKFold(n_splits=5, shuffle=True, random_state = 2)
scorers = {
"roc_auc": "roc_auc",
"pr_auc": make_scorer(average_precision_score, response_method="predict_proba"),
"brier": make_scorer(brier_score_loss, response_method="predict_proba", greater_is_better=False)
}
grid = GridSearchCV(
pd_pipe,
hparams,
scoring = scorers,
cv = cv,
n_jobs = 4,
refit = "roc_auc"
)
grid.fit(X_train, y_train)
best_model = grid.best_estimator_
# Calibrate best model using isotonic regression, this ensures PDs align with observed default rates
cal_pd = CalibratedClassifierCV(estimator = best_model, method = "isotonic", cv = 5)
cal_pd.fit(X_train, y_train)
# ===============[[ Output title like this ]]===============
print(f"")
print(68*"=")
print(f"==={22*'='}[[ Model report ]]{22*'='}===\n")
# ==========================================================
"""# {{{
Generating validation report for the PD model. Discrimination (ROC-AUC, Gini) and calibration (Brier score) are the primary validation metrics.
- ROC-AUC and Gini coefficient (discrimination power)
- Brier score (calibration quality)
- Average precision score
- KS statistic (max separation between good/bad)
Threshold-based metrics at KS-optimal threshold:
- KS-optimal threshold
- Metrics at that threshold: Accuracy, Recall, Specificity, Confusion matrix
"""# }}}
proba_test = cal_pd.predict_proba(X_test)[:,1]
print(f"Test AUC: {roc_auc_score(y_test, proba_test):.3f}")
gini = 2*roc_auc_score(y_test, proba_test) - 1
print(f"Gini coefficient: {gini:.3f}")
print(f"Brier score: {brier_score_loss(y_test, proba_test):.4f}")
print(f"Average precision score: {average_precision_score(y_test, proba_test):.4f}")
fpr, tpr, thresholds = roc_curve(y_test, proba_test)
ks_index = (tpr - fpr).argmax()
ks_stat = tpr[ks_index] - fpr[ks_index]
print(f"KS Statistic: {ks_stat:.3f}")
print(f"")
y_pred_ks = (proba_test >= thresholds[ks_index]).astype(int)
print(f"Optimal KS threshold: {thresholds[ks_index]:.3f}")
print("Diagnostic metrics at KS threshold:")
print(f" Accuracy: {accuracy_score(y_test, y_pred_ks):.3f}")
print(f" Recall: {recall_score(y_test, y_pred_ks):.3f}")
tn, fp, fn, tp = confusion_matrix(y_test, y_pred_ks).ravel()
specificity = tn / (tn + fp)
print(f" Specificity (good capture rate): {specificity:.3f}")
print(f" Confusion Matrix:\n {confusion_matrix(y_test, y_pred_ks)}")
# ===============[[ Output title like this ]]===============
print(f"")
print(68*"=")
print(f"==={16*'='}[[ Save the model for later ]]{16*'='}===\n")
# ==========================================================
import joblib
joblib.dump(cal_pd, "pd_model_calibrated.pkl")
# Load model
# cal_pd = joblib.load("pd_model_calibrated.pkl")
# }}}
return X, y, cal_pd, num_features, cat_features
if __name__ == "__main__":
from data_quality_checks_and_EDA import quality_checks_and_eda
df = quality_checks_and_eda()
pd_model(df)