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math.NA2025
Finite difference schemes for Hamilton--Jacobi equation on Wasserstein space on graphs
Jianbo Cui, Tonghe Dang, Chenchen Mou
This work proposes and studies numerical schemes for initial value problems of Hamilton--Jacobi equations (HJEs) with a graph individual noise on the Wasserstein space on graphs. N…
cs.LG2025
Learning Surrogate Potential Mean Field Games via Gaussian Processes: A Data-Driven Approach to Ill-Posed Inverse Problems
Jingguo Zhang, Xianjin Yang, Chenchen Mou +1
Mean field games (MFGs) describe the collective behavior of large populations of interacting agents. In this work, we tackle ill-posed inverse problems in potential MFGs, aiming to…