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

2 citations · 2 across the 3 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…

math.AT2018

A Topological Study of Functional Data and Fréchet Functions of Metric Measure Spaces

Haibin Hang, Facundo Mémoli, Washington Mio

We study the persistent homology of both functional data on compact topological spaces and structural data presented as compact metric measure spaces. One of our goals is to define…