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07/03/2023
Möbius Homology
This paper introduces Möbius homology, a homology theory for representat...
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12/30/2022
Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations
We dualize previous work on generalized persistence diagrams for filtrat...
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08/10/2022
Persistent Homology Transform Cosheaf
We employ the recent discovery of functoriality for persistent homology ...
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12/07/2021
Output-sensitive Computation of Generalized Persistence Diagrams for 2-filtrations
When persistence diagrams are formalized as the Mobius inversion of the ...
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10/14/2020
Edit Distance and Persistence Diagrams Over Lattices
We build a functorial pipeline for persistent homology. The input to thi...
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02/16/2016