Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

Persistent homology, while ostensibly measuring changes in topology, captures multiscale geometrical information. It is a natural tool for the analysis of point patterns. In this paper we explore the statistical power of the persistent homology rank functions. For a point pattern X we construct a fi...

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Vydané v:	Physica. D Ročník 334; s. 99 - 117
Hlavní autori:	Robins, Vanessa, Turner, Katharine
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.11.2016
Predmet:	Betti numbers Stochastic geometry Topological data analysis Stochastic geometry Topological data analysis Betti numbers
ISSN:	0167-2789, 1872-8022
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