Minimal Cycle Representatives in Persistent Homology Using Linear Programming: An Empirical Study With User’s Guide

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 provide descriptions of topological features in data. However, the non-uniqueness of these representatives creates ambiguity and can lead to many different interpretations of the same set of classes. One approach to solving this pro...

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Bibliographic Details
Main Authors: Lu Li, Connor Thompson, Gregory Henselman-Petrusek, Chad Giusti, Lori Ziegelmeier
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-10-01
Series:Frontiers in Artificial Intelligence
Subjects:
topological data analysis
computational persistent homology
minimal cycle representatives
generators
linear programming
l1 and l0 minimization
Online Access:https://www.frontiersin.org/articles/10.3389/frai.2021.681117/full

Internet

https://www.frontiersin.org/articles/10.3389/frai.2021.681117/full

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