Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 91, Issue 9, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.7566/JPSJ.91.091013
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Funding
- JSPS KAKENHI [JP19H00834, JP20H05884, JP18H01188]
- JST Presto [JPMJPR1923]
- JST CREST Mathematics [JPMJCR15D3]
- JST MIRAI Program [JPMJMI18G3]
- Council for Science, Technology and Innovation (CSTI) , Cross-ministerial Strategic Innovation Promotion Program (SIP)
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This paper introduces persistent homology as a powerful tool for characterizing data shape using topology. It explains the fundamental idea and provides examples. The paper also reviews applications to materials research and introduces the software HomCloud.
This paper introduces persistent homology, which is a powerful tool to characterize the shape of data using the mathematical concept of topology. We explain the fundamental idea of persistent homology from scratch using some examples. We also review some applications of persistent homology to materials researches and software for persistent homology data analysis. HomCloud, one of persistent homology software, is especially featured in this paper.
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