应兰州大学数学与统计学院和甘肃省计算数学基础学科研究中心邀请,香港理工大学崔建波助理教授将于2026年04月14日下午作学术报告，欢迎全校师生参加。

报告题目：Wasserstein Hamiltonian Flow and Its Structure Preserving Numerical Scheme

时间：2026年04月14日(星期二) 下午 16:30

地点：理工楼631报告厅

报告摘要：We study discretizations of Hamiltonian systems on the probability density manifold equipped with the L2-Wasserstein metric. For low dimensional problems, based on discrete optimal transport theory, several Wasserstein Hamiltonian flows (WHFs) on graph are derived. They can be viewed as spatial discretizations to the original systems. By regularizing the system using Fisher information, we propose a novel regularized symplectic scheme which could preserve several desirable longtime behaviors. Furthermore, we use the coupling idea and WHF to propose a supervised learning scheme for some high-dimensional problem. If time permits, we will talk about more details on solving high-dimensional Hamilton-Jacobi equation via the density coupling and supervised learning.

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报告人简介

Jianbo Cui is currently an assistant professor at the Hong Kong Polytechnic University. He received his Ph.D. from Chinese Academy of Sciences in 2019. He subsequently served as a visiting assistant professor at Georgia Institute of Technology from 2019-2021. Dr. Cui's current research interests include computational optimal transport, and numerical analysis of stochastic partial differential equations. He has received support from NSFC and RGC, and has published in some leading international jourals, such as SlAM Journals, Mathematics of Computation, and Journal of Computational Physics.

甘肃省计算数学基础学科研究中心

数学与统计学院

萃英学院

2026年4月9日