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

Research output: Chapter in Book/Report/Conference proceeding › Chapter

19 Citations (Scopus)

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.

Original language	English
Title of host publication	Nanoinformatics
Publisher	Springer Singapore
Pages	75-95
Number of pages	21
ISBN (Electronic)	9789811076176
ISBN (Print)	9789811076169
DOIs	https://doi.org/10.1007/978-981-10-7617-6_5
Publication status	Published - Jan 15 2018
Externally published	Yes

Keywords

Materials informatics
Persistent homology
Topological data analysis

ASJC Scopus subject areas

Engineering(all)
Chemistry(all)
Biochemistry, Genetics and Molecular Biology(all)
Materials Science(all)

Access to Document

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

Cite this

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AU - Hiraoka, Yasuaki

AU - Obayashi, Ippei

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AB - 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.

KW - Materials informatics

KW - Persistent homology

KW - Topological data analysis

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ER -

Persistent homology and materials informatics

Abstract

Keywords

ASJC Scopus subject areas

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