60 citations · 98 across the 27 of their papers we have counts for
4 papers · 1 filter
Comparison Results for Gromov-Wasserstein and Gromov-Monge Distances
Facundo Mémoli, Tom Needham
Inspired by the Kantorovich formulation of optimal transport distance between probability measures on a metric space, Gromov-Wasserstein (GW) distances comprise a family of metrics…
Persistent Cup Product Structures and Related Invariants
Facundo Mémoli, Anastasios Stefanou, Ling Zhou
One-dimensional persistent homology is arguably the most important and heavily used computational tool in topological data analysis. Additional information can be extracted from da…
Homology groups of the curvature sets of
Peter Eastwood, Anna M. Ellison, Mario Gómez +1
For , the -th curvature set of a metric space is the set consisting of all -by- distance matrices of points sampled from . Curvature sets can be regar…
Ephemeral persistence features and the stability of filtered chain complexes
Facundo Mémoli, Ling Zhou
We strengthen the usual stability theorem for Vietoris-Rips (VR) persistent homology of finite metric spaces by building upon constructions due to Usher and Zhang in the context of…