Search Results for author: Gregory Henselman-Petrusek

Found 2 papers, 1 papers with code

Computable Stability for Persistence Rank Function Machine Learning

1 code implementation6 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.

Topological Data Analysis

Minimal Cycle Representatives in Persistent Homology using Linear Programming: an Empirical Study with User's Guide

no code implementations14 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.

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