212 citations · 625 across the 54 of their papers we have counts for
5 papers · 1 filter
Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals
Hong Ye Tan, Stanley Osher, Wuchen Li
We consider the problem of sampling from a distribution governed by a potential function. This work proposes an explicit score based MCMC method that is deterministic, resulting in…
Scaling Limits of the Wasserstein information matrix on Gaussian Mixture Models
Wuchen Li, Jiaxi Zhao
We consider the Wasserstein metric on the Gaussian mixture models (GMMs), which is defined as the pullback of the full Wasserstein metric on the space of smooth probability distrib…
Minimal Wasserstein Surfaces
Wuchen Li, Tryphon T. Georgiou
In finite-dimensions, minimal surfaces that fill in the space delineated by closed curves and have minimal area arose naturally in classical physics in several contexts. No such co…
Optimal Ricci curvature Markov chain Monte Carlo methods on finite states
Wuchen Li, Linyuan Lu
We construct a new Markov chain Monte Carlo method on finite states with optimal choices of acceptance-rejection ratio functions. We prove that the constructed continuous time Mark…
A kernel formula for regularized Wasserstein proximal operators
Wuchen Li, Siting Liu, Stanley Osher
We study a class of regularized proximal operators in Wasserstein-2 space. We derive their solutions by kernel integration formulas. We obtain the Wasserstein proximal operator usi…