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stat.ML2026
Another Look at Log-PCA for Probability Measures: A Dynamical Formulation and Statistical Convergence
Peng Xu, Changbo Zhu, Young-Heon Kim +1
This paper is concerned with learning principal variations of random probability measures on under the Wasserstein geometry. We introduce a new dynamical formulation…
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…