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07/03/2023
Möbius Homology
This paper introduces Möbius homology, a homology theory for representat...
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07/08/2022
On the Universality of Random Persistence Diagrams
One of the most elusive challenges within the area of topological data a...
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02/16/2021
Euler Characteristic Surfaces
We study the use of the Euler characteristic for multiparameter topologi...
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08/05/2020
Persistent Homology in ℓ_∞ Metric
Proximity complexes and filtrations are a central construction in topolo...
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05/29/2019
A Topology Layer for Machine Learning
Topology applied to real world data using persistent homology has starte...
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11/29/2018
Topology-Aware Surface Reconstruction for Point Clouds
We provide an approach to utilize topological priors to reconstruct the ...
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12/22/2015
