Computing eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator. - Benjamin J. Zhang; Tuhin Sahai; Youssef M. Marzouk (CoRR, 2021)

A Koopman framework for rare event simulation in stochastic differential equations. - Benjamin J. Zhang; Tuhin Sahai; Youssef M. Marzouk (J. Comput. Phys., 2022)

Geometry-informed irreversible perturbations for accelerated convergence of Langevin dynamics. - Benjamin J. Zhang; Youssef M. Marzouk; Konstantinos Spiliopoulos (Stat. Comput., 2022)

A mean-field games laboratory for generative modeling. - Benjamin J. Zhang; Markos A. Katsoulakis (CoRR, 2023)

Score-based generative models are provably robust: an uncertainty quantification perspective. - Nikiforos Mimikos-Stamatopoulos; Benjamin J. Zhang; Markos A. Katsoulakis (NeurIPS, 2024)

Wasserstein proximal operators describe score-based generative models and resolve memorization. - Benjamin J. Zhang; Siting Liu 003; Wuchen Li; Markos A. Katsoulakis; Stanley J. Osher (CoRR, 2024)

Nonlinear denoising score matching for enhanced learning of structured distributions. - Jeremiah Birrell; Markos A. Katsoulakis; Luc Rey-Bellet; Benjamin J. Zhang; Wei Zhu 007 (CoRR, 2024)

Combining Wasserstein-1 and Wasserstein-2 proximals: robust manifold learning via well-posed generative flows. - Hyemin Gu; Markos A. Katsoulakis; Luc Rey-Bellet; Benjamin J. Zhang (CoRR, 2024)

Equivariant score-based generative models provably learn distributions with symmetries efficiently. - Ziyu Chen; Markos A. Katsoulakis; Benjamin J. Zhang (CoRR, 2024)

Optimal Control for Transformer Architectures: Enhancing Generalization, Robustness and Efficiency. - Kelvin Kan; Xingjian Li 005; Benjamin J. Zhang; Tuhin Sahai; Stanley J. Osher; Markos A. Katsoulakis (CoRR, 2025)

Particle exchange Monte Carlo methods for eigenfunction and related nonlinear problems. - Paul Dupuis; Benjamin J. Zhang (CoRR, 2025)