Topological Data Analysis of Spatial Systems

Abigail Hickok; Mason A. Porter; Michelle Feng

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arxiv 2104.00720 v1 pith:5GGLLTDQ submitted 2021-04-01 cs.SI cs.CGmath.ATnlin.AOphysics.soc-ph

Topological Data Analysis of Spatial Systems

Michelle Feng , Abigail Hickok , Mason A. Porter This is my paper

classification cs.SI cs.CGmath.ATnlin.AOphysics.soc-ph

keywords spatialsystemsanalysisdatathentopologicalapplicationsbriefly

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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.

Topological Data Analysis of Spatial Systems

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