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Topological Data Analysis of Spatial Systems

Authors :
Feng, Michelle
Hickok, Abigail
Porter, Mason A.
Publication Year :
2021

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.<br />Comment: draft of book chapter

Subjects

Subjects :
Computer Science - Social and Information Networks
Computer Science - Computational Geometry
Mathematics - Algebraic Topology
Nonlinear Sciences - Adaptation and Self-Organizing Systems
Physics - Physics and Society

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2104.00720
Document Type :
Working Paper

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