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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.AT2017★ 8 cited
Persistence Diagrams with Linear Machine Learning Models
Ippei Obayashi, Yasuaki Hiraoka
Persistence diagrams have been widely recognized as a compact descriptor for characterizing multiscale topological features in data. When many datasets are available, statistical f…