27th Conference of the International Linear Algebra Society (ILAS 2026)

Kernel-Based Variational Formulations of Nonlocal Mean-Field Games

May 20, 2026, 11:50 AM

25m

Torgersen Hall 3100

Minisymposium Talk Advances in Randomized Algorithms and Kernel Methods for Rank-Structured Matrices Advances in Randomized Algorithms and Kernel Methods for Rank-Structured Matrices

Speaker

Siting Liu (University of California, Riverside)

Description

We study mean-field games with nonlocal interactions modeled through kernel-based representations. Using feature-space expansions inspired by kernel methods, the resulting models admit a variational saddle-point formulation that is well suited for efficient primal–dual algorithms such as the primal-dual hybrid gradient method. We also discuss inverse problems in which interaction mechanisms are recovered from partial and noisy observations of population dynamics, emphasizing optimization-based formulations and splitting methods for stable and efficient reconstruction.