19 citations · 75 across the 18 of their papers we have counts for
9 papers · 1 filter
Efficient Computation of Mean field Control based Barycenters from Reaction-Diffusion Systems
Arjun Vijaywargiya, Guosheng Fu, Stanley Osher +1
We develop a class of barycenter problems based on mean field control problems in three dimensions with associated reactive-diffusion systems of unnormalized multi-species densitie…
A Primal-dual hybrid gradient method for solving optimal control problems and the corresponding Hamilton-Jacobi PDEs
Tingwei Meng, Siting Liu, Wuchen Li +1
Optimal control problems are crucial in various domains, including path planning, robotics, and humanoid control, demonstrating their broad applicability. The connection between op…
Mean field control of droplet dynamics with high order finite element computations
Guosheng Fu, Hangjie Ji, Will Pazner +1
Liquid droplet dynamics are widely used in biological and engineering applications, which contain complex interfacial instabilities and pattern formation such as droplet merging, s…
Tensor train based sampling algorithms for approximating regularized Wasserstein proximal operators
Fuqun Han, Stanley Osher, Wuchen Li
We present a tensor train (TT) based algorithm designed for sampling from a target distribution and employ TT approximation to capture the high-dimensional probability density evol…
A deep learning algorithm for computing mean field control problems via forward-backward score dynamics
Mo Zhou, Stanley Osher, Wuchen Li
We propose a deep learning approach to compute mean field control problems with individual noises. The problem consists of the Fokker-Planck (FP) equation and the Hamilton-Jacobi-B…
Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation
Guosheng Fu, Stanley Osher, Will Pazner +1
We design and compute a class of optimal control problems for reaction-diffusion systems. They form mean field control problems related to multi-density reaction-diffusion systems.…
Computational Mean-field Games on Manifolds
Jiajia Yu, Rongjie Lai, Wuchen Li +1
Conventional Mean-field games/control study the behavior of a large number of rational agents moving in the Euclidean spaces. In this work, we explore the mean-field games on Riema…
Computational Mean-field information dynamics associated with Reaction diffusion equations
Wuchen Li, Wonjun Lee, Stanley Osher
We formulate and compute a class of mean-field information dynamics for reaction-diffusion equations. Given a class of nonlinear reaction-diffusion equations and entropy type Lyapu…
Mean field control problems for vaccine distribution
Wonjun Lee, Siting Liu, Wuchen Li +1
With the invention of the COVID-19 vaccine, shipping and distributing are crucial in controlling the pandemic. In this paper, we build a mean-field variational problem in a spatial…