1 code implementation • 2 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
no code implementations • 17 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.