Hierarchical Sliced Wasserstein Distance. (arXiv:2209.13570v2 [stat.ML] UPDATED)

Sliced Wasserstein (SW) distance has been widely used in different
application scenarios since it can be scaled to a large number of supports
without suffering from the curse of dimensionality. The value of sliced
Wasserstein distance is the average of transportation cost between
one-dimensional representations (projections) of original measures that are
obtained by Radon Transform (RT). Despite its efficiency in the number of
supports, estimating the sliced Wasserstein requires a relatively large number
of projections in high-dimensional settings. Therefore, for …

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