41 citations · 264 across the 40 of their papers we have counts for
4 papers · 1 filter
Persistent Homotopy Groups of Metric Spaces
Facundo Mémoli, Ling Zhou
We study notions of persistent homotopy groups of compact metric spaces together with their stability properties in the Gromov-Hausdorff sense. We pay particular attention to the c…
Metric Representations of Network Data
Santiago Segarra, Gunnar Carlsson, Facundo Memoli +1
Networks are structures that encode relationships between pairs of elements or nodes. However, there is no imposed connection between these relationships, i.e., the relationship be…
Sampling random graph homomorphisms and applications to network data analysis
Hanbaek Lyu, Facundo Memoli, David Sivakoff
A graph homomorphism is a map between two graphs that preserves adjacency relations. We consider the problem of sampling a random graph homomorphism from a graph into a large netwo…
A Primer on Persistent Homology of Finite Metric Spaces
Facundo Memoli, Kritika Singhal
TDA (topological data analysis) is a relatively new area of research related to importing classical ideas from topology into the realm of data analysis. Under the umbrella term TDA…