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20162021
most citedU-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology

2 citations · 5 across the 9 of their papers we have counts for

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math.AT2021★ 2 cited

U-match factorization: sparse homological algebra, lazy cycle representatives, and dualities in persistent (co)homology

Haibin Hang, Chad Giusti, Lori Ziegelmeier +1

Persistent homology is a leading tool in topological data analysis (TDA). Many problems in TDA can be solved via homological -- and indeed, linear -- algebra. However, matrices in…

math.AT2021

Decorated Merge Trees for Persistent Topology

Justin Curry, Haibin Hang, Washington Mio +2

This paper introduces decorated merge trees (DMTs) as a novel invariant for persistent spaces. DMTs combine both and information into a single data structure that disti…