146 citations · 246 across the 14 of their papers we have counts for
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math.AT2021★ 146 cited
Persistent Homology Analysis for Materials Research and Persistent Homology Software: HomCloud
Ippei Obayashi, Takenobu Nakamura, Yasuaki Hiraoka
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…
math.AT2021★ 3 cited
Stable Volumes for Persistent Homology
Ippei Obayashi
This paper proposes a stable volume and a stable volume variant, referred to as a stable sub-volume, for more reliable data analysis using persistent homology. In prior research, a…
cond-mat.mtrl-sci2021★ 28 cited
Topological descriptor of thermal conductivity in amorphous materials
Emi Minamitani, Takuma Shiga, Makoto Kashiwagi +1
Quantifying the correlation between the complex structures of amorphous materials and their physical properties has been a long-standing problem in materials science. In amorphous…