4 papers
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…
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…
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…
Connections between Bressan's Mixing Conjecture, the Branched Optimal Transport and Combinatorial Optimization
Bohan Zhou
We investigate the 1D version of the notable Bressan's mixing conjecture, and introduce various formulation in the classical optimal transport setting, the branched optimal transpo…