41 citations · 264 across the 40 of their papers we have counts for
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math.AT2017
New families of simplicial filtration functors
Samir Chowdhury, Nathaniel Clause, Facundo Memoli +2
The so called Čech and Vietoris-Rips simplicial filtrations are designed to capture information about the topological structure of metric datasets. These filtrations are two of the…
math.AT2017
A Distance Between Filtered Spaces Via Tripods
Facundo Memoli
We present a simplified treatment of stability of filtrations on finite spaces. Interestingly, we can lift the stability result for combinatorial filtrations from [CSEM06] to the c…
math.AT2017★ 2 cited
Persistent Path Homology of Directed Networks
Samir Chowdhury, Facundo Mémoli
While standard persistent homology has been successful in extracting information from metric datasets, its applicability to more general data, e.g. directed networks, is hindered b…