Convergence rate of empirical measures in the subspace robust Wasserstein distance

Fuente: arXiv
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Autore principale: Vasan, Dakshesh
Natura: Preprint
Pubblicazione: 2025
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author Vasan, Dakshesh
author_facet Vasan, Dakshesh
contents We obtain an estimate for the expected subspace robust Wasserstein distance between any probability measure on the unit ball of a separable Hilbert space, and its empirical distribution from $n$ i.i.d. samples.
format Preprint
id arxiv_https___arxiv_org_abs_2512_04462
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Convergence rate of empirical measures in the subspace robust Wasserstein distance
Vasan, Dakshesh
Probability
60B11 (Primary), 60B10, 62R20 (Secondary)
We obtain an estimate for the expected subspace robust Wasserstein distance between any probability measure on the unit ball of a separable Hilbert space, and its empirical distribution from $n$ i.i.d. samples.
title Convergence rate of empirical measures in the subspace robust Wasserstein distance
topic Probability
60B11 (Primary), 60B10, 62R20 (Secondary)
url https://arxiv.org/abs/2512.04462