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Max-sliced 2-Wasserstein distance · arXivDesk

2403.02142Mar 4, 2024This note is superseded by arXiv:2403.00666v2

Max-sliced 2-Wasserstein distance

March T. Boedihardjo

Abstract

This note is a continuation of the author's previous work on "Sharp bounds for the max-sliced Wasserstein distance." We use the same technique to obtain an upper bound for the expected max-sliced 2-Wasserstein distance between a compactly supported symmetric probability measure on a Euclidean space and its symmetrized empirical distribution.

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The paper addresses: Max-sliced 2-Wasserstein distance.
This note is a continuation of the author's previous work on "Sharp bounds for the max-sliced Wasserstein distance." We use the same technique to obtain an upper bound for the expected max-sliced 2-Wasserstein distance between a compactly supported symmetric probability measure on a Euclidean space and its symmetrized empirical distribution.