10 citations · 23 across the 6 of their papers we have counts for
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cs.CG2017★ 2 cited
Convergence of Hierarchical Clustering and Persistent Homology Methods on Directed Networks
Samir Chowdhury, Facundo Mémoli
While there has been much interest in adapting conventional clustering procedures---and in higher dimensions, persistent homology methods---to directed networks, little is known ab…
cs.DM2017★ 10 cited
Distances and Isomorphism between Networks: Stability and Convergence of Network Invariants
Samir Chowdhury, Facundo Mémoli
We develop the theoretical foundations of a generalized Gromov-Hausdorff distance between functions on networks that has recently been applied to various subfields of topological d…
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…