A Credit Risk Identification Model Based on the Minimax Probability Machine with Generative Adversarial Networks

Yutong Zhang, Xiaodong Zhao and Hailong Huang ()
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Yutong Zhang: School of Statistics and Data Science, Shanghai University of International Business and Economics, Shanghai 201620, China
Xiaodong Zhao: School of Management, Shanghai University of International Business and Economics, Shanghai 201620, China
Hailong Huang: School of Statistics and Data Science, Shanghai University of International Business and Economics, Shanghai 201620, China

Mathematics, 2025, vol. 13, issue 20, 1-15

Abstract: In the context of industrial transitions and tariff frictions, financial markets are experiencing frequent defaults, emphasizing the urgency of upgrading credit scoring methodologies. A novel credit risk identification model integrating generative adversarial networks (GAN) and the minimax probability machine (MPM) is proposed. GAN generates realistic augmented samples to alleviate class imbalance in the credit score dataset, while the MPM optimizes the classification hyperplane by reformulating probability constraints into second-order cone problems via the multivariate Chebyshev inequality. Numerical experiments conducted on the South German Credit dataset, which represents individual (consumer) credit risk, demonstrate that the proposed generative adversarial network’s minimax probability machine (GAN-MPM) model achieves 76.13%, 60.93%, 71.78%, and 72.03% for accuracy, F1-score, sensitivity, and AUC, respectively, significantly outperforming support vector machines, random forests, and XGBoost. Furthermore, SHAP analysis reveals that the installment rate in percentage of disposable income, housing type, duration in month, and status of existing checking accounts are the most influential features. These findings demonstrate the effectiveness and interpretability of the GAN-MPM model, offering a more accurate and reliable tool for credit risk management.

Keywords: credit risk identification; generative adversarial networks; minimax probability machine (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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