3 papers
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…
stat.ML2025
Neural Local Wasserstein Regression
Inga Girshfeld, Xiaohui Chen
We study the estimation problem of distribution-on-distribution regression, where both predictors and responses are probability measures. Existing approaches typically rely on a gl…
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…