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Topological Data Analysis of Spatial Systems (2104.00720v1)
Published 1 Apr 2021 in cs.SI, cs.CG, math.AT, nlin.AO, and physics.soc-ph
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.