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Sharp bounds for the max-sliced Wasserstein distance
March 4, 2024, 5:43 a.m. | March T. Boedihardjo
stat.ML updates on arXiv.org arxiv.org
Abstract: We obtain sharp upper and lower bounds for the expected max-sliced 1-Wasserstein distance between a probability measure on a separable Hilbert space and its empirical distribution from $n$ samples. A version of this result for probability measures on Banach spaces is also obtained.
abstract arxiv distribution math.pr max probability samples space spaces stat.ml type
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