Clique topology of real symmetric matrices

TL;DR

This paper explores the clique topology of real symmetric matrices to uncover intrinsic geometric structures in neural correlation data, providing insights into neural network organization.

Contribution

It introduces a novel approach using clique topology to analyze neural correlation matrices, revealing geometric structures not detectable by traditional methods.

Findings

Clique topology captures intrinsic geometric features of neural correlations.

The method uncovers structures related to neural network organization.

Provides a new tool for analyzing complex neural data.

Abstract

This is the Supplementary Text for "Clique topology reveals intrinsic geometric structure in neural correlations," by Chad Giusti, Eva Pastalkova, Carina Curto, and Vladimir Itskov.