TY - JOUR
T1 - Persistent Homology Analysis for Materials Research and Persistent Homology Software
T2 - HomCloud
AU - Obayashi, Ippei
AU - Nakamura, Takenobu
AU - Hiraoka, Yasuaki
N1 - Funding Information:
Acknowledgments This work was partially sponsored by JSPS KAKENHI JP19H00834, JP20H05884, JP18H01188, JST Presto JPMJPR1923, JST CREST Mathematics (JPMJCR15D3), JST MIRAI Program (JPMJMI18G3), and Council for Science, Technology and Innovation (CSTI), Cross-ministerial Strategic Innovation Promotion Program (SIP) and “Materials Integration” for revolutionary design system of structural materials (Funding agency: JST).
Publisher Copyright:
©2022 The Physical Society of Japan
PY - 2022/9/15
Y1 - 2022/9/15
N2 - 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.
AB - 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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U2 - 10.7566/JPSJ.91.091013
DO - 10.7566/JPSJ.91.091013
M3 - Article
AN - SCOPUS:85132041961
SN - 0031-9015
VL - 91
JO - journal of the physical society of japan
JF - journal of the physical society of japan
IS - 9
M1 - 091013
ER -