Persistent homology and materials informatics

Mickaël Buchet, Yasuaki Hiraoka, Ippei Obayashi

Research output: Chapter in Book/Report/Conference proceedingChapter

19 Citations (Scopus)


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
PublisherSpringer Singapore
Number of pages21
ISBN (Electronic)9789811076176
ISBN (Print)9789811076169
Publication statusPublished - Jan 15 2018
Externally publishedYes


  • 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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