Hiraoka Group


Original Articles

Asao, Y., Hiraoka, Y., & Kanazawa, S. (2023). Girth, magnitude homology and phase transition of diagonality. Proceedings of the Royal Society of Edinburgh Section a-Mathematics. doi:10.1017/prm.2023.7

Imoto, Y., & Hiraoka, Y. (2023). V-Mapper: topological data analysis for high-dimensional data with velocity. Nonlinear Theory and Its Applications, IEICE, 14(2), 92-105. doi:10.1587/nolta.14.92

Hiraoka, Y., Ike, Y., & Yoshiwaki, M. Algebraic stability theorem for derived categories of zigzag persistence modules. Journal of Topology and Analysis. doi:10.1142/s1793525322500091

Imoto, Y., Nakamura, T., Escolar, E. G., Yoshiwaki, M., Kojima, Y., Yabuta, Y., Katou, Y., Yamamoto, T., Hiraoka, Y., & Saitou, M. (2022). Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis. Life Science Alliance, 5(12). doi:10.26508/lsa.202201591

Nagano, M., Hu, B., Yokobayashi, S., Yamamura, A., Umemura, F., Coradin, M., Ohta, H., abuta, Y., Ishikura, Y., Okamoto, I., Ikeda, H., Kawahira, N., Nosaka, Y., Shimizu, S., Kojima, Y., Mizuta, K., Kasahara, T., Imoto, Y., Meehan, K., Stocsits, R., Wutz, G., Hiraoka, Y., Murakawa, Y., Yamamoto, T., Tachibana, K., Peters, J. M., Mirny, L. A., Garcia, B. A., Majewski, J., & Saitou, M. (2022). Nucleome programming is required for the foundation of totipotency in mammalian germline development. Embo Journal, 41(13). doi:10.15252/embj.2022110600

Review articles

Obayashi, I., Nakamura, T., & Hiraoka, Y. (2022). Persistent Homology Analysis for Materials Research and Persistent Homology Software: HomCloud. Journal of the Physical Society of Japan, 91(9). doi:10.7566/jpsj.91.091013


Original Papers

Ichinomiya, T., Obayashi, I., & Hiraoka, Y.(2020). Protein-Folding Analysis Using Features Obtained by PersistentHomology. Biophysical Journal, 118(12), 2926-2937.

Hiraoka, Y., & Mikami, T. (2020). Percolationon Homology Generators in Codimension One. In Topological Data Analysis(pp. 307-342): Springer.

Hiraoka, Y., Ochiai, H., & Shirai, T. (2020). Zetafunctions of periodic cubical lattices and cyclotomic-like polynomials.Paper presented at the Various Aspects of Multiple Zeta Functions—in honor ofProfessor Kohji Matsumoto’s 60th birthday.

Koyama, C., Tahara, S., Kohara, S., Onodera, Y.,Småbråten, D.R., Selbach, S.M., Akola, J., Ishikawa, T., Masuno, A., Mizuno,A., Okada, J.T., Watanabe, Y., Nakata, Y., Ohara, K., Tamaru, H., Oda, H.,Obayashi, I., Hiraoka, Y., & Sakata, O. (2020). Very sharpdiffraction peak in nonglass-forming liquid with the formation of distortedtetraclusters. Npg Asia Materials, 12(1), 1-11.

Onodera, Y., Kohara, S., Salmon, P. S., Hirata, A.,Nishiyama, N., Kitani, S., Zeidler, A., Shiga, M., Masuno, A., Inoue, H.,Tahara, S., Polidori, A., Fischer, H. E., Mori, T., Kojima, S., Kawaji, H.,Kolesnikov, A. I., Stone, M. B., Tucker, M. G., McDonnell, M. T., Hannon, A.C., Hiraoka, Y., Obayashi, I., Nakamura, T., Akola, J., Fujii, Y.,Ohara, K., Taniguchi, T., & Sakata, O. (2020). Structure and properties ofdensified silica glass: characterizing the order within disorder. Npg AsiaMaterials, 12(1).

Suzuki, A, Miyazawa, M, Okamoto, A, Shimizu, H, Obayashi,I, Hiraoka, Y, Tsuji, T, Kang, PK, & Ito, T. (2020). Inferringfracture forming processes by characterizing fracture network patterns withpersistent homology. Computers & Geosciences, 143, 104550.


Original Papers

Asashiba, H., Escolar, E., Hiraoka, Y., & Takeuchi, H. (2019). Matrix method for persistence modules on commutative ladders of finite type. Japan Journal ofIndustrial and Applied Mathematics, 36(1), 97-130.

Onodera, Y., Takimoto, Y., Hijiya, H., Taniguchi, T., Urata, S., Inaba, S., Fujita, S., Obayashi, I., Hiraoka, Y., & Kohara, S. (2019). Origin of the mixed alkali effect in silicate glass. Npg Asia Materials, 11.

Oyama, A., Hiraoka, Y., Obayashi, I., Saikawa, Y., Furui, S., Shiraishi, K., Kumagai, S., Hayashi, T., & Kotoku, J. (2019). Hepatic tumor classification using texture and topology analysis of non-contrast-enhanced three-dimensionalT1-weighted MR images with a radiomics approach. Scientific Reports, 9.

Murakami, M, Kohara, S, Kitamura, N, Akola, J, Inoue, H, Hirata, A, Hiraoka, Y, Onodera, Y, Obayashi, I, Kalikka, J, Hirao, N, Musso, T, Foster, AS, Idemoto, Y, Sakata, O, & Ohishi, Y. (2019). Ultrahigh-pressure form of SiO2 glass with dense pyrite-type crystalline homology. Physical Review B, 99(4), 045153.

Onodera, Y., Kohara, S., Tahara, S., Masuno, A., Inoue, H., Shiga, M., Hirata, A., Tsuchiya, K., Hiraoka, Y., Obayashi, I., Ohara, K., Mizuno, A., & Sakata, O. (2019). Understanding diffraction patterns of glassy, liquid and amorphous materials via persistent homology analyses. Journal of the Ceramic Societyof Japan, 127(12), 853-863.