52 citations · 143 across the 30 of their papers we have counts for
5 papers · 2 filters
Taming Hyperparameter Tuning in Continuous Normalizing Flows Using the JKO Scheme
Alexander Vidal, Samy Wu Fung, Luis Tenorio +2
A normalizing flow (NF) is a mapping that transforms a chosen probability distribution to a normal distribution. Such flows are a common technique used for data generation and dens…
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…
Neural ODE Control for Trajectory Approximation of Continuity Equation
Karthik Elamvazhuthi, Bahman Gharesifard, Andrea Bertozzi +1
We consider the controllability problem for the continuity equation, corresponding to neural ordinary differential equations (ODEs), which describes how a probability measure is pu…
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…
Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs
Howard Heaton, Samy Wu Fung, Stanley Osher
Computing tasks may often be posed as optimization problems. The objective functions for real-world scenarios are often nonconvex and/or nondifferentiable. State-of-the-art methods…