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09/09/2023
Comparing Morse Complexes Using Optimal Transport: An Experimental Study
Morse complexes and Morse-Smale complexes are topological descriptors po...
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06/30/2023
Topologically Attributed Graphs for Shape Discrimination
In this paper we introduce a novel family of attributed graphs for the p...
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02/06/2023
Flexible and Probabilistic Topology Tracking with Partial Optimal Transport
In this paper, we present a flexible and probabilistic framework for tra...
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11/28/2022
Statistical Shape Analysis of Shape Graphs with Applications to Retinal Blood-Vessel Networks
This paper provides theoretical and computational developments in statis...
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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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07/07/2021
Geometric averages of partitioned datasets
We introduce a method for jointly registering ensembles of partitioned d...
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04/05/2021
Quantized Gromov-Wasserstein
The Gromov-Wasserstein (GW) framework adapts ideas from optimal transpor...
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07/08/2020
Statistical shape analysis of brain arterial networks (BAN)
Structures of brain arterial networks (BANs) - that are complex arrangem...
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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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04/23/2020
The Weighted Euler Curve Transform for Shape and Image Analysis
The Euler Curve Transform (ECT) of Turner et al. is a complete invariant...
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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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07/10/2018