Persistent Homology of Asymmetric Networks: An Approach based on Dowker Filtrations
Year: 2016
Type: preprint
Abstract: We propose methods for computing two network features with topological underpinnings: the Rips and Dowker Persistent Homology Diagrams. Our formulations work for general networks, which may be asymmetric and may have any real number as an edge weight. We study the sensitivity of Dowker persistence diagrams to intrinsic asymmetry in the data, and investigate the stability properties of both the Dowker and Rips persistence diagrams. We include detailed experiments run on a variety of simulated and real world datasets using our methods.
Source: arXiv (Cornell University)
Authors: Samir Chowdhury, Facundo Mémoli
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2511640851