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- W4298045211 abstract "This paper continues the investigation of `Wasserstein-like' transportation distances for probability measures on discrete sets. We prove that the discrete transportation metrics on the d-dimensional discrete torus with mesh size 1/N converge, when $Ntoinfty$, to the standard 2-Wasserstein distance W_2 on the continuous torus in the sense of Gromov-Hausdorff. This is the first convergence result for the recently developed discrete transportation metrics. The result shows the compatibility between these metrics and the well-established 2-Wasserstein metric." @default.
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- W4298045211 date "2012-07-27" @default.
- W4298045211 modified "2023-10-14" @default.
- W4298045211 title "Gromov-Hausdorff convergence of discrete transportation metrics" @default.
- W4298045211 doi "https://doi.org/10.48550/arxiv.1207.6501" @default.
- W4298045211 hasPublicationYear "2012" @default.
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