3 papers
math.OC2026
Sobolev Gradient Ascent for Optimal Transport: Barycenter Optimization and Convergence Analysis
Kaheon Kim, Bohan Zhou, Changbo Zhu +1
This paper introduces a new constraint-free concave dual formulation for the Wasserstein barycenter. Tailoring the vanilla dual gradient ascent algorithm to the Sobolev geometry, w…
math.OC2026
Accelerated Markov Chain Monte Carlo Algorithms on Discrete States
Bohan Zhou, Shu Liu, Xinzhe Zuo +1
We propose a class of discrete state sampling algorithms based on Nesterov's accelerated gradient method, which extends the classical Metropolis-Hastings (MH) algorithm. The evolut…
math.OC2026
The Signed Wasserstein Barycenter Problem
Matt Jacobs, Bohan Zhou
Barycenter problems encode important geometric information about a metric space. While these problems are typically studied with positive weight coefficients associated to each dis…