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.
no code implementations • 7 Jan 2016 • Chad Giusti, Robert Ghrist, Danielle S. Bassett
Specifically, we explore the use of \emph{simplicial complexes}, a theoretical notion developed in the field of mathematics known as algebraic topology, which is now becoming applicable to real data due to a rapidly growing computational toolset.
Neurons and Cognition Algebraic Topology Quantitative Methods 92-02, 92B20, 57Q05