68 citations · 137 across the 31 of their papers we have counts for
4 papers · 1 filter
Quantitative Stability and Sample Complexity for Regularized Gromov-Wasserstein Distance
Pengtao Li, Xiaohui Chen
The Gromov-Wasserstein (GW) distance provides a principled framework for comparing two probability distributions supported on different metric spaces by matching their individual i…
Central limit theorems and bootstrap for sparse regularized multimarginal optimal transport and barycenters
Pengtao Li, Alberto González-Sanz, Xiaohui Chen
Wasserstein barycenters are a fundamental tool for the analysis of distribution-valued data, but their computation and statistical analysis become challenging in high-dimensional a…
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.…
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…