1 code implementation • 6 Jul 2023 • Qiquan Wang, Inés García-Redondo, Pierre Faugère, Anthea Monod, Gregory Henselman-Petrusek
In this paper, we revisit the persistent homology rank function -- an invariant measure of ``shape" that was introduced before barcodes and persistence diagrams and captures the same information in a form that is more amenable to data and computation.
no code implementations • 14 May 2021 • Lu Li, Connor Thompson, Gregory Henselman-Petrusek, Chad Giusti, Lori Ziegelmeier
Cycle representatives of persistent homology classes can be used to provide descriptions of topological features in data.