Persistent homology and materials informatics

Mickaël Buchet, Yasuaki Hiraoka, Ippei Obayashi

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

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 languageEnglish
Title of host publicationNanoinformatics
EditorsI. Tanaka
Place of PublicationSingapur
PublisherSpringer Science+Business Media Singapore Private Limited
Pages75-95
Number of pages21
ISBN (Electronic)9789811076176
ISBN (Print)9789811076169
DOIs
Publication statusPublished - 15 Jan 2018
Externally publishedYes

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)

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  • Cite this

    Buchet, M., Hiraoka, Y., & Obayashi, I. (2018). Persistent homology and materials informatics. In I. Tanaka (Ed.), Nanoinformatics (pp. 75-95). Singapur: Springer Science+Business Media Singapore Private Limited. https://doi.org/10.1007/978-981-10-7617-6_5