Topological Data Analysis of Spatial Systems
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cs.SI
cs.CGmath.ATnlin.AOphysics.soc-ph
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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.
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