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03/27/2022
An Introduction to Multiparameter Persistence
In topological data analysis (TDA), one often studies the shape of data ...
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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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06/25/2021
ℓ^p-Distances on Multiparameter Persistence Modules
Motivated both by theoretical and practical considerations in topologica...
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03/14/2021
Computing the Multicover Bifiltration
Given a finite set A⊂ℝ^d, let Cov_r,k denote the set of all points withi...
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10/19/2020
Stability of 2-Parameter Persistent Homology
The Čech and Rips constructions of persistent homology are stable with r...
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02/15/2019
Computing Minimal Presentations and Bigraded Betti Numbers of 2-Parameter Persistent Homology
Motivated by applications to topological data analysis, we give an effic...
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02/15/2019
Computing Minimal Presentations and Betti Numbers of 2-Parameter Persistent Homology
Motivated by applications to topological data analysis, we give an effic...
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12/21/2018
Exact computation of the matching distance on 2-parameter persistence modules
The matching distance is a pseudometric on multi-parameter persistence m...
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04/03/2018