Network comparison with frequency domain persistent homology
Ben Cassidy, Caroline D. Rae, Victor Solo · 2016
The new area of topological data analysis has thrown up persistent homology as a promising approach to network comparison. But implementation requires node to node distance measures. Here we review relevant distance measures, offer some critiques, and then describe frequency domain extensions. Using this we illustrate with network comparisons of neuro-imaging data based on a new frequency domain persistent homology.