Topological Data Analysis of Spatial Systems
Social and Information Networks
2021-04-06 v1 Computational Geometry
Algebraic Topology
Adaptation and Self-Organizing Systems
Physics and Society
Abstract
In this chapter, we discuss applications of topological data analysis (TDA) to spatial systems. We briefly review the recently proposed level-set construction of filtered simplicial complexes, and we then examine persistent homology in two cases studies: street networks in Shanghai and hotspots of COVID-19 infections. We then summarize our results and provide an outlook on TDA in spatial systems.
Keywords
Cite
@article{arxiv.2104.00720,
title = {Topological Data Analysis of Spatial Systems},
author = {Michelle Feng and Abigail Hickok and Mason A. Porter},
journal= {arXiv preprint arXiv:2104.00720},
year = {2021}
}
Comments
draft of book chapter