212 citations · 625 across the 54 of their papers we have counts for
6 papers · 1 filter
Master equations for finite state mean field games with nonlinear activations
Yuan Gao, Wuchen Li, Jian-Guo Liu
We formulate a class of mean field games on a finite state space with variational principles resembling those in continuous-state mean field games. We construct a controlled contin…
Optimal Neural Network Approximation of Wasserstein Gradient Direction via Convex Optimization
Yifei Wang, Peng Chen, Mert Pilanci +1
The computation of Wasserstein gradient direction is essential for posterior sampling problems and scientific computing. The approximation of the Wasserstein gradient with finite s…
Exponential Entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equations
Erhan Bayraktar, Qi Feng, Wuchen Li
We study long-time dynamical behaviors of weakly self-consistent Vlasov-Fokker-Planck equations. We introduce Hessian matrix conditions on mean-field kernel functions, which charac…
Mean field information Hessian matrices on graphs
Wuchen Li, Linyuan Lu
We derive mean-field information Hessian matrices on finite graphs. The "information" refers to entropy functions on the probability simplex. And the "mean-field" means nonlinear w…
Mean field Kuramoto models on graphs
Wuchen Li, Hansol Park
One of a classical synchronization model is the Kuramoto model. We propose both first and second order Kuramoto dynamical models on graphs using discrete optimal transport dynamics…
Controlling conservation laws II: compressible Navier-Stokes equations
Wuchen Li, Siting Liu, Stanley Osher
We propose, study, and compute solutions to a class of optimal control problems for hyperbolic systems of conservation laws and their viscous regularization. We take barotropic com…