English

Convergence rate of empirical measures in the subspace robust Wasserstein distance

Probability 2025-12-05 v1

Abstract

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 nn i.i.d. samples.

Keywords

Cite

@article{arxiv.2512.04462,
  title  = {Convergence rate of empirical measures in the subspace robust Wasserstein distance},
  author = {Dakshesh Vasan},
  journal= {arXiv preprint arXiv:2512.04462},
  year   = {2025}
}