Search Results for author: Zane Smith

Found 2 papers, 1 papers with code

On $p$-metric spaces and the $p$-Gromov-Hausdorff distance

1 code implementation2 Dec 2019 Facundo Mémoli, Zane Smith, Zhengchao Wan

For each given $p\in[1,\infty]$ we investigate certain sub-family $\mathcal{M}_p$ of the collection of all compact metric spaces $\mathcal{M}$ which are characterized by the satisfaction of a strengthened form of the triangle inequality which encompasses, for example, the strong triangle inequality satisfied by ultrametric spaces.

Metric Geometry

The Wasserstein transform

no code implementations17 Oct 2018 Facundo Mémoli, Zane Smith, Zhengchao Wan

We introduce the Wasserstein transform, a method for enhancing and denoising datasets defined on general metric spaces.

Denoising

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