Computer-Assisted Verification Method for Invariant Densities and Rates of Decay of Correlations. - Ippei Obayashi (SIAM J. Appl. Dyn. Syst., 2011)

Continuation of Point Clouds via Persistence Diagrams. - Marcio Gameiro; Yasuaki Hiraoka; Ippei Obayashi (CoRR, 2015)

Persistence Diagrams with Linear Machine Learning Models. - Ippei Obayashi; Yasuaki Hiraoka (CoRR, 2017)

Persistence diagrams with linear machine learning models. - Ippei Obayashi; Yasuaki Hiraoka; Masao Kimura (J. Appl. Comput. Topol., 2018)

Volume-Optimal Cycle: Tightest Representative Cycle of a Generator in Persistent Homology. - Ippei Obayashi (SIAM J. Appl. Algebra Geom., 2018)

Disappearance of chaotic attractor of passive dynamic walking by stretch-bending deformation in basin of attraction. - Kota Okamoto; Shinya Aoi; Ippei Obayashi; Hiroshi Kokubu; Kei Senda; Kazuo Tsuchiya (IROS, 2020)

Inferring fracture forming processes by characterizing fracture network patterns with persistent homology. - Anna Suzuki; M. Miyazawa; Atsushi Okamoto; Hiroyuki Shimizu; Ippei Obayashi; Yasuaki Hiraoka; Takeshi Tsuji; Patricia K. Kang; Takatoshi Ito (Comput. Geosci., 2020)

Persistent homology-based descriptor for machine-learning potential. - Emi Minamitani; Ippei Obayashi (CoRR, 2022)

Persistent homology analysis with nonnegative matrix factorization for 3D voxel data of iron ore sinters. - Ippei Obayashi; Masao Kimura (JSIAM Lett., 2022)

Field Choice Problem in Persistent Homology. - Ippei Obayashi; Michio Yoshiwaki (Discret. Comput. Geom., 2023)

Stable volumes for persistent homology. - Ippei Obayashi (J. Appl. Comput. Topol., 2023)