3 papers
stat.ME2026
Kantorovich Regression Analysis of Random Distributions with Mixed Predictors
Kaheon Kim, Changbo Zhu
In modern scientific applications, observations often take the form of probability distributions. We study regression problems with distribution-valued responses and mixed distribu…
math.OC2025
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…
stat.ML2025
Optimal Transport Barycenter via Nonconvex-Concave Minimax Optimization
Kaheon Kim, Rentian Yao, Changbo Zhu +1
The optimal transport barycenter (a.k.a. Wasserstein barycenter) is a fundamental notion of averaging that extends from the Euclidean space to the Wasserstein space of probability…