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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

Tomotaka Kuwahara
Research Scientist
Akiyoshi Sannai
Research Scientist
Akinori Tanaka
Postdoctoral Researcher
Masahiro Ikeda
Postdoctoral Researcher
Yuuki Takai
Postdoctoral Researcher
Kei Hagihara
Postdoctoral Researcher
Isao Ishikawa
Postdoctoral Researcher
Koichi Tojo
Technical Staff I

Contact Information

Email: kenichi.bannai [at] riken.jp

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