3 papers
math.ST2026
Smoothed estimation of Wasserstein barycenters
Pengtao Li, Changbo Zhu, Xiaohui Chen
This paper studies the statistical estimation of exact Wasserstein barycenters. Existing non-asymptotic results for empirical barycenters exhibit a severe curse of dimensionality.…
quant-ph2026
Hierarchy of discriminative power and complexity in learning quantum ensembles
Jian Yao, Pengtao Li, Xiaohui Chen +1
Distance metrics are central to machine learning, yet distances between ensembles of quantum states remain poorly understood due to fundamental quantum measurement constraints. We…
math.ST2025
Sample complexity and weak limits of nonsmooth multimarginal Schrödinger system with application to optimal transport barycenter
Pengtao Li, Xiaohui Chen
Multimarginal optimal transport (MOT) has emerged as a useful framework for many applied problems. However, compared to the well-studied classical two-marginal optimal transport th…