RIKEN Center for Advanced Intelligence Project Mathematical Science Team
Team Leader: Kenichi Bannai (D.Math.Sci)
Research Summary
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 Research Scientist
- Hiroko Sekisaka
- Senior Research Scientist
- Masahiro Ikeda
- Research Scientist
- Koichi Tojo
- Special Postdoctoral Researcher
- Fuyuta Komura
- Special Postdoctoral Researcher
- Jun Yoshida
- Postdoctoral Researcher
- Eren Mehmet Kiral
- Visiting Scientist
- Kei Kobayashi
- 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
- Yoshihiro Sawano
- Visiting Scientist
- Naonori Kakimura
- Visiting Scientist
- Toru Ohira
- Visiting Scientist
- Yasuaki Hiraoka
- Visiting Scientist
- Shin-ichi Ohta
- Visiting Scientist
- Asuka Takatsu
- Visiting Scientist
- Ryotaro Sakamoto
- Visiting Scientist
- Reika Fukuizumi
- Visiting Scientist
- Hajime Fujita
- Visiting Scientist
- Kana Ito
- Junior Research Associate
- Hidetada Wachi
- Junior Research Associate
- Yuki Goto
- Research Part-time Worker I
- Misato Ogawa
- Research Part-time Worker II
- Kota Okudo
- Research Part-time Worker II
Contact Information
Email: kenichi.bannai [at] riken.jp