68 citations · 137 across the 31 of their papers we have counts for
32 papers
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…
Regularity estimates of fractional heat semigroups related with uniformly elliptic operators
Honglei Shi, Pengtao Li, Kai Zhao
Let be a second-order uniformly elliptic operator on , where is a real symmetric matrix satisfying…
On Concentration Inequality of the Laplacian Matrix of Erdős-Rényi Graphs
Yiming Chen, Xuanang Hu, Pengtao Li
This paper focuses on the concentration properties of the spectral norm of the normalized Laplacian matrix for Erdős-Rényi random graphs. First, We achieve the optimal bound that c…