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math.PR2024
Max-sliced 2-Wasserstein distance
March T. Boedihardjo
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 expe…
math.PR2024
Sharp bounds for max-sliced Wasserstein distances
March T. Boedihardjo
We obtain essentially matching upper and lower bounds for the expected max-sliced 1-Wasserstein distance between a probability measure on a separable Hilbert space and its empirica…