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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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04/03/2023
Algebraic and Geometric Models for Space Networking
In this paper we introduce some new algebraic and geometric perspectives...
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04/19/2022
A Sheaf-Theoretic Construction of Shape Space
We present a sheaf-theoretic construction of shape space – the space of ...
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03/01/2022
A Lattice-Theoretic Perspective on the Persistence Map
We provide a naturally isomorphic description of the persistence map fro...
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12/22/2021
The Universal ℓ^p-Metric on Merge Trees
Adapting a definition given by Bjerkevik and Lesnick for multiparameter ...
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04/29/2020
A Relative Theory of Interleavings
The interleaving distance, although originally developed for persistent ...
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05/24/2018