Search Results for author: Chad Giusti

Found 2 papers, 0 papers with code

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.

Two's company, three (or more) is a simplex: Algebraic-topological tools for understanding higher-order structure in neural data

no code implementations7 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

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