2026 Stable-ResNet Sharp Stability Threshold and Certification for Designing Stable Residual Architectures Hyemin Gu, Michael Tyrrell, Tuhin Sahai, and Markos A. Katsoulakis 2026 arXiv PROFET PROFET Predicts Continuous Gene Expression Dynamics from scRNA-seq Data to Elucidate Heterogeneity of Cancer Treatment Responses Yu-Chen Cheng, Hyemin Gu, Markos A. Katsoulakis, Franziska Michor, and others Cell Systems, accepted, 2026 bioRxiv Code ISOMORPH ISOMORPH: A Supply Chain Digital Twin for Simulation, Dataset Generation, and Forecasting Benchmarks Zhizhen Zhang, Hyemin Gu, Markos A. Katsoulakis, Tuhin Sahai, and others 2026 arXiv Demo Code 2025 Robust-alpha-Div Robust Generative Learning with Lipschitz-Regularized α-Divergences Allows Minimal Assumptions on Target Distributions Ziyu Chen, Hyemin Gu, Markos A. Katsoulakis, Luc Rey-Bellet, and Wei Zhu Information and Inference: A Journal of the IMA, 2025 arXiv DOI Code 2024 W-Proximals Combining Wasserstein-1 and Wasserstein-2 proximals: robust manifold learning via well-posed generative flows Hyemin Gu, Markos A. Katsoulakis, Luc Rey-Bellet, and Benjamin J. Zhang 2024 arXiv Code GPA Lipschitz-Regularized Gradient Flows and Generative Particle Algorithms for High-Dimensional Scarce Data Hyemin Gu, Panagiota Birmpa, Yannis Pantazis, Luc Rey-Bellet, and Markos A. Katsoulakis SIAM Journal on Mathematics of Data Science, 2024 arXiv DOI Code