Optimal Transport, Wasserstein Barycenter, Regression on Wasserstein Space
Functional Data Analysis, Distributional Data Analysis, Functional PCA
Neural Sampler, Flow Matching
Convex Optimization, Nonconvex Optimization, Minimax Optimization, Optimization in Functional Space
Sobolev Gradient Ascent for Optimal Transport: Barycenter Optimization and Convergence Analysis [OpenReview][page]
Kaheon Kim, Bohan Zhou, Changbo Zhu, and Xiaohui Chen
The 14th International Conference on Learning Representations (ICLR), 2026.
Optimal Transport Barycenter via Nonconvex Concave Minimax Optimization [Proceedings][page]
Kaheon Kim, Rentian Yao, Changbo Zhu, and Xiaohui Chen
The 42nd International Conference on Machine Learning (ICML), 2025
Kantorovich Regression Analysis of Random Distributions with Mixed Predictors [Arxiv]
Kaheon Kim and Changbo Zhu