Corpus ID: 209405025

Strong equivalence between metrics of Wasserstein type

@inproceedings{Bayraktar2019StrongEB,
  title={Strong equivalence between metrics of Wasserstein type},
  author={Erhan Bayraktar and Gaoyue Guo},
  year={2019}
}
  • Erhan Bayraktar, Gaoyue Guo
  • Published 2019
  • Mathematics
  • The sliced Wasserstein and more recently max-sliced Wasserstein metrics $\mW_p$ have attracted abundant attention in data sciences and machine learning due to its advantages to tackle the curse of dimensionality. A question of particular importance is the strong equivalence between these projected Wasserstein metrics and the (classical) Wasserstein metric $\Wc_p$. Recently, Paty and Cuturi have proved the strong equivalence of $\mW_2$ and $\Wc_2$. We show that the strong equivalence also holds… CONTINUE READING

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