Publications

Preprints and submitted papers

B. Zhang, S. Liu, W. Li, M. Katsoulakis, and S. Osher. “Wasserstein proximal operators describe score-based generative models and resolve memorization.” arXiv:2402.06162
B. Zhang and M. Katsoulakis. “A mean-field games laboratory for generative modeling.” arXiv:2304.13534
B. Zhang, K. Spiliopoulos, and Y. Marzouk. “Transport map unadjusted Langevin algorithms.” arXiv:2302.07227
B. Zhang, T. Sahai, and Y. Marzouk. “Computing the eigenfunctions of the multidimensional Ornstein-Uhlenbeck operator.” arXiv:2110.09229

B. Zhang, Y. Marzouk, and K. Spiliopoulos. “Geometry-informed irreversible perturbations for accelerated convergence of Langevin dynamics.” Statistics and Computing, 32(5), 78, 2022. Link arXiv:2108.08247
B. Zhang, T. Sahai, and Y. Marzouk. “A Koopman framework for rare event simulation in stochastic differential equations.” Journal of Computational Physics 456 (2022): 111025. Link, arXiv:2101.07330
B. Zhang, M. Chamanzar, and M.-R. Alam. “Suppression of epileptic seizures via Anderson localization”. Journal of The Royal Society Interface 14.127 (2017): 20160872. Link

B. Zhang, T. Sahai, and Y. Marzouk. “Sampling via Controlled Stochastic Dynamical Systems.” I (Still) Can’t Believe It’s Not Better! NeurIPS 2021 Workshop. 2021. Link
B. Zhang, Y. Marzouk, B.-Y. Min, and T. Sahai. “Rare event simulation of a rotorcraft system.” 2018 AIAA Non-Deterministic Approaches Conference. 2018. Link

B. Zhang. “Efficient Sampling Methods of, by, and for Stochastic Dynamical Systems.” PhD Thesis, Massachusetts Institute of Technology, 2022. Link
B. Zhang. “A coupling approach to rare event simulation via dynamic importance sampling.” SM Thesis, Massachusetts Institute of Technology, 2017. Link