Convergence rate of empirical measures in the subspace robust Wasserstein distance
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912748683657216 |
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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 |