Research field (2):
Applied mathematics and statistics
, Basic mathematics
Research keywords (2):
Approximation theory
, Numerical analysis
Research theme for competitive and other funds (8):
2024 - 2028 積型ニューラルネットワーク深層学習による数値解析的アルゴリズムの解析と創出
2024 - 2028 変数変換型標本点生成法の新規開拓
2020 - 2025 物理学・情報科学に共通する大規模行列関数の総合的数値計算法の創成
2020 - 2024 最適点配置問題に内在する近似的凸構造の探求と活用
2020 - 2024 Creation of a foundation for a numerical approach to deep learning
2017 - 2020 Unified construction of highly accurate numerical methods based on potential theory
2012 - 2015 Construction of accurate numerical methods and verification methods relating to stochastic differential equations and their application
2004 - 2006 組合せ構造に基づく関数近似とその応用
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Papers (49):
Takashi Goda, Yoshihito Kazashi, Ken’ichiro Tanaka. How Sharp Are Error Bounds? -Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions-. SIAM Journal on Numerical Analysis. 2024. 62. 5. 2370-2392
Tomoya Kamijima, Shun Sato, Kansei Ushiyama, Takayasu Matsuo, Ken’ichiro Tanaka. Analysis of continuous dynamical system models with Hessians derived from optimization methods. JSIAM Letters. 2024. 16. 29-32
Yoshihiro Kogure, Ken’ichiro Tanaka. Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation. Journal of Approximation Theory. 2024
Satoshi Hayakawa, Ken’ichiro Tanaka. Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization. Japan Journal of Industrial and Applied Mathematics. 2023
Tomoki Yamagami, Etsuo Segawa, Ken'ichiro Tanaka, Takatomo Mihana, André Röhm, Ryoichi Horisaki, Makoto Naruse. Skeleton structure inherent in discrete-time quantum walks. Physical Review A. 2023. 107. 1
Numerical Methods with Variable Transformations
Iwanami Shoten, Publishers 2023 ISBN:9784000298605
Lectures and oral presentations (88):
On attempt for computation of general matrix functions by numerical integration
(2024)
On lower bounds of worst-case errors of quadrature formulas for analytic functions
(The Second Workshop of JMCQMC -In Celebration of 50th Birthday of Prof. Josef Dick- 2024)
On attempt to improve the convergence rates of a continuous dynamical model and corresponding optimization method containing Hessian matrices
(The annual conference of Japan Society of Industrial and Applied Mathematics of AY2024 2024)
Error estimates of double-exponential quadrature formulas for numerical computation of several matrix functions
(The annual conference of Japan Society of Industrial and Applied Mathematics of AY2024 2024)
On lower bounds of the worst case errors of quadrature formulas for analytic functions
(The annual conference of Japan Society of Industrial and Applied Mathematics of AY2024 2024)
2004 - 2007 University of Tokyo Department of Mathematical Informatics, Graduate School of Information Science and Technology Doctor Course
2002 - 2004 University of Tokyo Department of Mathematical Informatics, Graduate School of Information Science and Technology Master Course
2000 - 2002 University of Tokyo School of Engineering Department of Mathematical Engineering and Information Physics
1998 - 2000 University of Tokyo Science I, College of Arts and Sciences
Professional career (1):
博士(情報理工学) (東京大学)
Work history (5):
2024/10 - 現在 Institute of Sciecne Tokyo Department of Mathematical and Computing Science, School of Computing Professor
2017/04 - 2024/09 University of Tokyo Department of Mathematical Informatics, Graduate School of Information Science and Technology Associate Professor
2015/04 - 2017/03 Musashino University Department of Mathematical Engineering, Faculty of Engineering Associate Professor
2011/04 - 2015/03 Future University Hakodate School of Systems Information Science Assistant Professor
2007/04 - 2011/03 Tokio Marine & Nichido Fire Insurance Co., Ltd.
Committee career (4):
2023/04 - 現在 日本応用数理学会, 代表会員
2015/04 - 2021/03 日本応用数理学会 学会誌「応用数理」編集委員
2020 - 2021 日本応用数理学会, 選挙管理委員
2013/04 - 2015/03 日本応用数理学会 JSIAM Letters 編集委員
Awards (4):
2023/07 - Japan Society for Industrial and Applied Mathematics Best Paper Award Numerical Computation of Matrix Sign Function by Double Exponential Formula
2022/03 - The University of Tokyo 2021 Best Teaching Award of the Faculty of Engineering, the University of Tokyo
2020/09 - Japan Society for Industrial and Applied Mathematics Excellent paper award JSIAM Letters section Improvement of the double exponential formula with conformal maps based on the locations of singularities
2007/03 - Japan Society for Industrial and Applied Mathematics Award for an Excellent Talk by a Young Scientist
Association Membership(s) (3):
THE MATHEMATICAL SOCIETY OF JAPAN
, Society for Industrial and Applied Mathematics
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS