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RIKEN Center for Advanced Intelligence Project Mathematical Science Team

Team Leader: Kenichi Bannai (D.Math.Sci)

Research Summary

Kenichi  Bannai(D.Math.Sci)

Mathematical Science Team is a team consisting of pure mathematician and theoretical physisists with aim of attacking mathematical problem arising in artificial intelligence and machine learning.

Main Research Fields

  • Mathematics

Research Subjects

  • Machine Learning

Selected Publications

  • 1. I. Ishikawa, K. Fujii, M. Ikeda, Y. Hashimoto, Y. Kawahara.:
    "Metric on nonlinear dynamical systems with Perron-Frobenius operators"
    The 32nd Conference on Neural Information Processing Systems (NeurIPS2018), Montreal, Canada.
  • 2. M. Ohnishi, M. Yukawa, M. Johansson, and M. Sugiyama.:
    "Continuous-time Value Function Approximation in Reproducing Kernel Hilbert Spaces"
    he 32nd Conference on Neural Information Processing Systems (NeurIPS2018), Montreal, Canada.
  • 3.K. Kobayashi, N. Hamada, A. Sannai, A. Tanaka, K. Bannai, and M. Sugiyama.:
    "Bezier Simplex Fitting: Describing Pareto Fronts of Simplicial Problems with Small Samples in Multi-objective Optimization," AAAI-19, (2019).
  • 4.K. Hashimoto, S. Sugishita, A. Tanaka, and A. Tomiya.:
    "Deep learning and the AdS/CFT correspondence"
    Phys. Rev. D98 no. 4, (2018) 046019.
  • 5.Y. Takai.:
    "Indivisibility of relative class numbers of totally imaginary quadratic extensions and vanishing of these relative Iwasawa invariants"
    Journal of Number Theory 186, (2018), 162-179.
  • 6.K. Hashimoto, S. Sugishita, A. Tanaka, and A. Tomiya.:
    "Deep Learning and Holographic QCD"
    Phys. Rev. D98 no.10, (2018) 106014.
  • 7. T. Kuwahara, T. Ishii, T. Mori, and N. Hatano.:
    "Heating in integrable time-periodic systems"
    Phys. Rev. Letters Vol 120, 220602 (2018).
  • 8. M. Ikeda and M. Sobajima.:
    "Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data"
    Math. Ann., 372, (2018), 1017-1040.
  • 9. M. Ikeda and T. Inui.:
    "The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping"
    Diff. Int. Equs., 32, (2019), 1-36.
  • 10.K. Bannai, K. Hagihara, S. Kobayashi, K. Yamada, S. Yamamoto and S. Yasuda.:
    "Category of mixed plectic Hodge structures"
    arXiv:1705.05522 [math.AG], to appear from the Asian Journal of Mathematics.

Recent Research Results

Related Links

Lab Members

Principal investigator

Kenichi Bannai
Team Leader

Core members

Akinori Tanaka
Senior Scientist
Hiroko Sekisaka
Senior Scientist
Akiyoshi Sannai
Research Scientist
Masahiro Ikeda
Research Scientist
Daichi Takeuchi
Special Postdoctoral Researcher
Eren Mehmet Kiral
Special Postdoctoral Researcher
Koichi Tojo
Special Postdoctoral Researcher
Jun Yoshida
Postdoctoral Researcher
Kei Kobayashi
Visiting Scientist
Yuki Nagai
Visiting Scientist
Isao Ishikawa
Visiting Scientist
Tetsushi Ito
Visiting Scientist
Kota Hattori
Visiting Scientist
Tomoki Kawahira
Visiting Scientist
Yoshiaki Oda
Visiting Scientist
Makiko Sasada
Visiting Scientist
Seidai Yasuda
Visiting Scientist
Kenta Hayano
Visiting Scientist
Yoshihiro Sawano
Visiting Scientist
Naonori Kakimura
Visiting Scientist
Toru Ohira
Visiting Scientist
Takeshi Katsura
Visiting Scientist
Yasuaki Hiraoka
Visiting Scientist
Shin-ichi Ohta
Visiting Scientist
Asuka Takatsu
Visiting Scientist
Rongxing Xu
Junior Research Associate
Yuki Goto
Junior Research Associate
Kana Ito
Junior Research Associate
Minami Watanabe
Research Part-time Worker I
Yoshinori Kanamura
Research Part-time Worker I

Contact Information

Email: kenichi.bannai [at] riken.jp