146 citations · 146 across the 3 of their papers we have counts for
3 papers
math.AT2023
Refinement of Interval Approximations for Fully Commutative Quivers
Yasuaki Hiraoka, Ken Nakashima, Ippei Obayashi +1
A fundamental challenge in multiparameter persistent homology is the absence of a complete and discrete invariant. To address this issue, we propose an enhanced framework that real…
math.AT2022
Persistent homology analysis with nonnegative matrix factorization for 3D voxel data of iron ore sinters
Ippei Obayashi, Masao Kimura
This paper proposes a data analysis method using persistent homology and nonnegative matrix factorization. A concatenated persistence image technique is used to extract coexisting…
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…