Persistent homology and materials informatics

Mickaël Buchet; Yasuaki Hiraoka; Ippei Obayashi

doi:10.1007/978-981-10-7617-6_5

Persistent homology and materials informatics

Mickaël Buchet, Yasuaki Hiraoka^*, Ippei Obayashi

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in Buch/Bericht › Begutachtung

Abstract

This paper provides an introduction to persistent homology and a survey of its applications to materials science. Mathematical prerequisites are limited to elementary linear algebra. Important concepts in topological data analysis such as persistent homology and persistence diagram are explained in a selfcontained manner with several examples. These tools are applied to glass structural analysis, crystallization of granular systems, and craze formation of polymers.

Originalsprache	englisch
Titel	Nanoinformatics
Redakteure/-innen	I. Tanaka
Erscheinungsort	Singapur
Herausgeber (Verlag)	Springer Science+Business Media Singapore Private Limited
Seiten	75-95
Seitenumfang	21
ISBN (elektronisch)	9789811076176
ISBN (Print)	9789811076169
DOIs	https://doi.org/10.1007/978-981-10-7617-6_5
Publikationsstatus	Veröffentlicht - 15 Jan. 2018
Extern publiziert	Ja

ASJC Scopus subject areas

Allgemeiner Maschinenbau
Allgemeine Chemie
Allgemeine Biochemie, Genetik und Molekularbiologie
Allgemeine Materialwissenschaften

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10.1007/978-981-10-7617-6_5

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http://www.scopus.com/inward/record.url?scp=85045570521&partnerID=8YFLogxK

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KW - Topological data analysis

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Persistent homology and materials informatics

Abstract

ASJC Scopus subject areas

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