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08/19/2021
U-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology
Persistent homology is a leading tool in topological data analysis (TDA)...
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05/14/2021
Minimal Cycle Representatives in Persistent Homology using Linear Programming: an Empirical Study with User's Guide
Cycle representatives of persistent homology classes can be used to prov...
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10/07/2020
Capturing Dynamics of Time-Varying Data via Topology
One approach to understanding complex data is to study its shape through...
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03/20/2019
Local Versus Global Distances for Zigzag Persistence Modules
This short note establishes explicit and broadly applicable relationship...
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12/13/2018
The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs
Metric graphs are meaningful objects for modeling complex structures tha...
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12/18/2017
Vietoris-Rips and Cech Complexes of Metric Gluings
We study Vietoris-Rips and Cech complexes of metric wedge sums and metri...
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07/07/2016
