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Hierarchical Sliced Wasserstein Distance. (arXiv:2209.13570v3 [stat.ML] UPDATED)
Sept. 30, 2022, 1:14 a.m. | Khai Nguyen, Tongzheng Ren, Huy Nguyen, Litu Rout, Tan Nguyen, Nhat Ho
stat.ML updates on arXiv.org arxiv.org
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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