My research interest includes deep learning and reinforcement learning, optimal control, applications of deep learning algorithms on scientific computing problems such as high dimensional PDEs, mean field control and games.
Mo Zhou, Haosheng Zhou, Ruimeng Hu. Learning Mean-Field Games through Mean-Field Actor-Critic Flow. arXiv preprint arXiv:2510.12180 (2025). [arXiv]
Yesom Park, Shu Liu, Mo Zhou, Stanley Osher*. Neural Hamilton-Jacobi Characteristic Flows for Optimal Transport. The Fourteenth International Conference on Learning Representations. 2025. [url][arXiv]
Mo Zhou*, Stanley Osher, Wuchen Li*. Simulating Fokker-Planck equations via mean field control of score-based normalizing flows. To appear in Journal of Computational Physics [arXiv]
Jiaxi Zhao, Mo Zhou, Xinzhe Zuo, Wuchen Li. Variational conditional normalizing flows for computing second-order mean field control problems. arXiv preprint arXiv:2503.19580 (2025). [arXiv]
Mo Zhou*, Stanley Osher, Wuchen Li*. Score-based neural ordinary differential equations for computing mean field control problems. Journal of Computational Physics (2025): 114369. [url][arXiv]
Mo Zhou, Jianfeng Lu. Solving Time-Continuous Stochastic Optimal Control Problems: Algorithm Design and Convergence Analysis of Actor-Critic Flow. arXiv preprint arXiv:2402.17208 (2024). [arXiv]
Mo Zhou, Stanley Osher, Wuchen Li*. A deep learning algorithm for computing mean field control problems via forward-backward score dynamics. Research in the Mathematical Sciences 12.3 (2025): 42. [url][arXiv]
Mo Zhou. (PhD thesis) Deep Learning Method for Partial Differential Equations and Optimal Problems [url]
Mo Zhou*, Jianfeng Lu. A Policy Gradient Framework for Stochastic Optimal Control Problems with Global Convergence Guarantee. SIAM Journal on Control and Optimization 63.4 (2025): 2605-2631. [url][arXiv]
Mo Zhou, Jiequn Han*, Manas Rachh, Carlos Borges. A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem. Journal of Computational Physics 490 (2023): 112341. [url][arXiv]
Mo Zhou*, Jianfeng Lu. Single Time-scale Actor-critic Method to Solve the Linear Quadratic Regulator with Convergence Guarantees. Journal of Machine Learning Research 24.222 (2023): 1-34. [url][arXiv]
Mo Zhou, Jiequn Han*, Jianfeng Lu. Actor-Critic Method for High Dimensional Static Hamilton--Jacobi--Bellman Partial Differential Equations based on Neural Networks. SIAM Journal on Scientific Computing 43.6 (2021): A4043-A4066. [url] [arXiv]
Jiequn Han*, Jianfeng Lu, Mo Zhou. Solving high-dimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach. Journal of Computational Physics 423 (2020): 109792. [url] [arXiv]