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12/07/2021
Hypergraph Co-Optimal Transport: Metric and Categorical Properties
Hypergraphs capture multi-way relationships in data, and they have conse...
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04/05/2021
Quantized Gromov-Wasserstein
The Gromov-Wasserstein (GW) framework adapts ideas from optimal transpor...
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06/07/2020
Generalized Spectral Clustering via Gromov-Wasserstein Learning
We establish a bridge between spectral clustering and Gromov-Wasserstein...
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10/16/2019
Path homologies of deep feedforward networks
We provide a characterization of two types of directed homology for full...
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10/10/2019
Gromov-Wasserstein Averaging in a Riemannian Framework
We introduce a theoretical framework for performing statistical tasks—in...
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05/26/2019
Geodesics in persistence diagram space
It is known that for a variety of choices of metrics, including the stan...
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08/13/2018
The Gromov-Wasserstein distance between networks and stable network invariants
We define a metric---the Network Gromov-Wasserstein distance---on weight...
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04/09/2018
The Metric Space of Networks
We study the question of reconstructing a weighted, directed network up ...
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11/12/2017
Convergence of Hierarchical Clustering and Persistent Homology Methods on Directed Networks
While there has been much interest in adapting conventional clustering p...
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08/16/2017