10 citations · 23 across the 6 of their papers we have counts for
6 papers
Hypergraph Co-Optimal Transport: Metric and Categorical Properties
Samir Chowdhury, Tom Needham, Ethan Semrad +2
Hypergraphs capture multi-way relationships in data, and they have consequently seen a number of applications in higher-order network analysis, computer vision, geometry processing…
The Gromov-Wasserstein distance between networks and stable network invariants
Samir Chowdhury, Facundo Mémoli
We define a metric---the network Gromov-Wasserstein distance---on weighted, directed networks that is sensitive to the presence of outliers. In addition to proving its theoretical…
The Metric Space of Networks
Samir Chowdhury, Facundo Mémoli
We study the question of reconstructing a weighted, directed network up to isomorphism from its motifs. In order to tackle this question we first relax the usual (strong) notion of…
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…
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…
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…