41 citations · 264 across the 40 of their papers we have counts for
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cs.DM2018
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…
cs.DM2018★ 9 cited
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…
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…