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math.OC2026
A Unified Approach for Computing Wasserstein Barycenters of Discrete and Continuous Measures
Peng Xu, Changbo Zhu, Xiaohui Chen
Computing the unregularized Wasserstein barycenter for measure-valued data is a challenging optimization task. Recent algorithms have been tailored to either discrete measures as p…
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…