Max-sliced 2-Wasserstein distance (2403.02142v2)

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.