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Author

Peng-Tao Li

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Preprint Oct 2026

Quantitative Stability and Sample Complexity for Regularized Gromov-Wasserstein Distance

The Gromov-Wasserstein (GW) distance provides a principled framework for comparing two probability distributions supported on different metric spaces by matching their individual intrinsic geometric structures. In practice, the GW distance is estimated from finite samples and often incorporates regularization for stati...

Peng-Tao Li, Xiao-Hui Chen · 0 citations
Preprint Sep 2026

Central limit theorems and bootstrap for sparse regularized multimarginal optimal transport and barycenters

Wasserstein barycenters are a fundamental tool for the analysis of distribution-valued data, but their computation and statistical analysis become challenging in high-dimensional and multi-sample settings. The unregularized barycenter problem is computationally demanding and suffers severely from the curse of dimension...

Peng-Tao Li, Alberto González-Sanz, Xiao-Hui Chen · 0 citations

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