Research
My research lies at the intersection of control theory, machine learning, and artificial intelligence. I develop efficient algorithms and rigorous theoretical foundations for stochastic optimal control, mean field control, and mean field games. I am also interested in reinforcement learning, normalizing flows, and generative models.
- Stochastic optimal control
- Mean field control and games
- Reinforcement learning
- Normalizing flows
- Generative models
- Artificial intelligence
Publications
Corresponding author
Preprints
Self-supervised In-context Operator Learning for Stochastic Mean-Field Control
arXiv preprint arXiv:2608.18282 (2026).
Learning Mean-Field Games through Mean-Field Actor-Critic Flow
arXiv preprint arXiv:2510.12180 (2025).
Variational Conditional Normalizing Flows for Computing Second-order Mean Field Control Problems
arXiv preprint arXiv:2503.19580 (2025).
Solving Time-Continuous Stochastic Optimal Control Problems: Algorithm Design and Convergence Analysis of Actor-Critic Flow
arXiv preprint arXiv:2402.17208 (2024).
Published and Accepted Papers
Neural Hamilton-Jacobi Characteristic Flows for Optimal Transport
The Fourteenth International Conference on Learning Representations (ICLR 2026).
Simulating Fokker-Planck Equations via Mean Field Control of Score-based Normalizing Flows
Journal of Computational Physics 566 (2026): 115274.
Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems
Journal of Computational Physics (2025): 114369.
A Deep Learning Algorithm for Computing Mean Field Control Problems via Forward-Backward Score Dynamics
Research in the Mathematical Sciences 12.3 (2025): 42.
A Policy Gradient Framework for Stochastic Optimal Control Problems with Global Convergence Guarantee
SIAM Journal on Control and Optimization 63.4 (2025): 2605-2631.
A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem
Journal of Computational Physics 490 (2023): 112341.
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.
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.
Solving High-dimensional Eigenvalue Problems Using Deep Neural Networks: A Diffusion Monte Carlo Like Approach
Journal of Computational Physics 423 (2020): 109792.
Ph.D. Thesis
Deep Learning Method for Partial Differential Equations and Optimal Problems
Ph.D. thesis, Duke University (2023).