Tanaka Kenichiro 田中健一郎

… Alternative Names

Tanaka Ken'ichiro 田中健一郎

TANAKA Kenichiro 田中健一郎

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Researcher Number	70610640
Other IDs
Affiliation (Current)	2025: 東京科学大学, 情報理工学院, 教授
Affiliation (based on the past Project Information) *help	2017 – 2024: 東京大学, 大学院情報理工学系研究科, 准教授 2015: 武蔵野大学, 工学部, 准教授 2012 – 2014: 公立はこだて未来大学, システム情報科学部, 助教
Review Section/Research Field	Principal Investigator Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics / Engineering fundamentals Except Principal Investigator Basic Section 12040:Applied mathematics and statistics-related / Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related / Basic Section 12030:Basic mathematics-related / Medium-sized Section 60:Information science, computer engineering, and related fields
Keywords	Principal Investigator 最適化 / 数値積分 / 関数近似 / 標本点 / 変数変換 / 最適公式 / 関数近似法 / 数値積分法 / 近似理論 / barycentric formula … More / 凸最適化問題 / 凸エネルギー最適化問題 / 補間型関数近似公式 / 再生核ヒルベルト空間 / 凸エネルギー最小化問題 / 数値積分公式 / 関数近似公式 / ポテンシャル論 / 重み付きハーディ空間 / Kolmogorovの前進/後退方程式 / DE-Sinc法 / 二重指数関数型（DE）公式 / Kolmogorovの前進方程式 / Sinc-Gaussサンプリング公式 / Kolmogorvの前進方程式 / Fourier変換 / 分布関数 / Sinc-Gauss関数近似公式 / Fractional FFT / 不等間隔FFT / Kolmogorovの方程式 / Levy過程 … More Except Principal Investigator 深層学習 / 数値解析学的アプローチ / 積型ニューラルネットワーク / 二重指数関数型積分公式 / 二重指数型積分公式 / 二重指数関数型数値積分公式 / 二重指数関数型数値積分公式（DE公式） / 行列関数 / ニューラルネットワーク / 数値解析的アプローチ / 関数近似 / 数値積分 / 微分方程式 / 数値解析 Less

New Development of Methods for Generating Sample Points by Variable TransformationPrincipal Investigator
- Principal Investigator
  
  田中健一郎
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
  Basic Section 12030:Basic mathematics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  The University of Tokyo
Analysis and creation of numerical analysis algorithms using product-type neural network deep learning
- Principal Investigator
  
  降籏大介
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
  Basic Section 12030:Basic mathematics-related
  Sections That Are Subject to Joint Review: Basic Section12030:Basic mathematics-related , Basic Section12040:Applied mathematics and statistics-related
- Research Institution
  Osaka University
Creation of a foundation for a numerical approach to deep learning
- Principal Investigator
  
  Furihata Daisuke
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Osaka University
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
- Principal Investigator
  
  曽我部知広
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 60:Information science, computer engineering, and related fields
- Research Institution
  Nagoya University
Versatile construction of highly accurate numerical methods based on potential theoryPrincipal Investigator
- Principal Investigator
  
  Tanaka Ken'ichiro
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  The University of Tokyo
Study of accurate numerical methods and verified computation relating to stochastic differential equationsPrincipal Investigator
- Principal Investigator
  
  TANAKA Kenichiro
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Musashino University
  Future University-Hakodate

All 2024 2023 2022 2021 2020 2019 2018 2017 2015 2014 2013 2012

All Journal Article Presentation Book

[Book] 変数変換型数値計算法2023
- Author(s)
  田中健一郎，岡山友昭
- Total Pages
  294
- Publisher
  岩波書店
- ISBN
  9784000298605
- Data Source
  KAKENHI-PROJECT-20H00581
[Book] 変数変換型数値計算法2023
- Author(s)
  田中健一郎, 岡山友昭
- Total Pages
  294
- Publisher
  岩波書店
- ISBN
  9784000298605
- Data Source
  KAKENHI-PROJECT-20H01822
[Journal Article] Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization2024
- Author(s)
  Satoshi Hayakawa and Ken’ichiro Tanaka
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 41 Issue: 1 Pages: 105-127
- DOI
  10.1007/s13160-023-00588-5
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20H01822
[Journal Article] Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation2024
- Author(s)
  Yoshihiro Kogure and Ken’ichiro Tanaka
- Journal Title
  
  Journal of Approximation Theory
  
  Volume: - Pages: 106037-106037
- DOI
  10.1016/j.jat.2024.106037
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20H01822
[Journal Article] Convergence rates for energies of interacting particles whose distribution spreads out as their number increases2023
- Author(s)
  van Meurs Patrick、Tanaka Ken'ichiro
- Journal Title
  
  ESAIM: Control, Optimisation and Calculus of Variations
  
  Volume: 29 Pages: 1-28
- DOI
  10.1051/cocv/2022083
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K14358, KAKENHI-PROJECT-20H01822, KAKENHI-PROJECT-20KK0058
[Journal Article] 全反射高速陽電子回折（TRHEPD）を用いた表面構造決定におけるデータ駆動型感度解析2023
- Author(s)
  星健夫，望月出海，田中悟，兵頭俊夫，福島孝治
- Journal Title
  
  陽電子科学
  
  Volume: 21 Pages: 3-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20H00581
[Journal Article] Skeleton structure inherent in discrete-time quantum walks2023
- Author(s)
  Yamagami Tomoki、Segawa Etsuo、Tanaka Ken'ichiro、Mihana Takatomo、R?hm Andr?、Horisaki Ryoichi、Naruse Makoto
- Journal Title
  
  Physical Review A
  
  Volume: 107 Issue: 1 Pages: 012222-012222
- DOI
  10.1103/physreva.107.012222
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K18710, KAKENHI-PROJECT-20H00233, KAKENHI-PROJECT-20H01822, KAKENHI-PROJECT-21F21375
[Journal Article] Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions2023
- Author(s)
  Tomoaki Okayama, Ken'ichiro Tanaka
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Issue: 0 Pages: 5-8
- DOI
  10.14495/jsiaml.15.5
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147, KAKENHI-PROJECT-20H01822
[Journal Article] Data-driven sensitivity analysis in surface structure determination using total-reflection high-energy positron diffraction (TRHEPD)2022
- Author(s)
  T. Hoshi, D. Sakata, S. Oied, I. Mochizuki, S. Tanaka, T. Hyodo and K. Hukushima
- Journal Title
  
  Comput. Phys. Commun.
  
  Volume: 271 Pages: 108186-108186
- DOI
  10.1016/j.cpc.2021.108186
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K12634, KAKENHI-PROJECT-19K12651, KAKENHI-PROJECT-19H01830, KAKENHI-PROJECT-19H04125, KAKENHI-PROJECT-20H00581, KAKENHI-PROJECT-23K21832
[Journal Article] Yet another DE-Sinc indefinite integration formula2022
- Author(s)
  Okayama, T, Tanaka, K’ichiro
- Journal Title
  
  Dolomites Research Notes on Approximation
  
  Volume: 15 Pages: 105-116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20H01822
[Journal Article] Quadratures over graphs via the Frank-Wolfe method and its variant2022
- Author(s)
  Oshiro Ryunosuke、Tanaka Ken'ichiro
- Journal Title
  
  JSIAM Letters
  
  Volume: 14 Issue: 0 Pages: 41-44
- DOI
  10.14495/jsiaml.14.41
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20J22570, KAKENHI-PROJECT-20H01822
[Journal Article] Precise Approximation Formula for Fourier Transform of Functions with Exponential Decay for the Whole Frequency2022
- Author(s)
  高倉直哉、田中健一郎
- Journal Title
  
  Transactions of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 32 Issue: 2 Pages: 75-100
- DOI
  10.11540/jsiamt.32.2_75
- ISSN
  2424-0982
- Language
  Japanese
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20H01822
[Journal Article] Numerical Computation of Matrix Sign Function by Double Exponential Formula2021
- Author(s)
  中屋貴博、田中健一郎
- Journal Title
  
  Transactions of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 31 Issue: 3 Pages: 105-132
- DOI
  10.11540/jsiamt.31.3_105
- NAID
  130008091990
- ISSN
  2424-0982
- Language
  Japanese
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20H00581
[Journal Article] Construction of approximation formulas for analytic functions by mathematical optimization2021
- Author(s)
  Tanaka Ken'ichiro、Sugihara Masaaki
- Journal Title
  
  New Sinc Methods of Numerical Analysis, Festschrift in Honor of Frank Stenger's 80th Birthday
  
  Volume: 1 Pages: 341-368
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14241
[Journal Article] Error bounds of potential theoretic numerical integration formulas in weighted Hardy spaces2020
- Author(s)
  Hayakawa Satoshi、Tanaka Ken'ichiro
- Journal Title
  
  JSIAM Letters
  
  Volume: 12 Issue: 0 Pages: 21-24
- DOI
  10.14495/jsiaml.12.21
- NAID
  130007833066
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14241
[Journal Article] Effective methods for obtaining good points for quadrature in reproducing kernel Hilbert spaces2020
- Author(s)
  Oshiro Ryunosuke、Tanaka Ken'ichiro
- Journal Title
  
  JSIAM Letters
  
  Volume: 12 Issue: 0 Pages: 61-64
- DOI
  10.14495/jsiaml.12.61
- NAID
  130007925471
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14241, KAKENHI-PROJECT-20H01822
[Journal Article] Kernel-based interpolation at approximate Fekete points2020
- Author(s)
  Karvonen Toni、Sarkka Simo、Tanaka Ken’ichiro
- Journal Title
  
  Numerical Algorithms
  
  Volume: 87 Issue: 1 Pages: 445-468
- DOI
  10.1007/s11075-020-00973-y
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14241, KAKENHI-PROJECT-20H01822
[Journal Article] Generation of collocation points in the method of fundamental solutions for 2D Laplace's equation2019
- Author(s)
  Hiroaki Hirano, Ken'ichiro Tanaka
- Journal Title
  
  JSIAM Letters
  
  Volume: 11 Issue: 0 Pages: 49-52
- DOI
  10.14495/jsiaml.11.49
- NAID
  130007696301
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14241
[Journal Article] Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces2019
- Author(s)
  Ken'ichiro Tanaka
- Journal Title
  
  Numerical Algorithms
  
  Volume: - Issue: 3 Pages: 1049-1079
- DOI
  10.1007/s11075-019-00792-w
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14241
[Journal Article] An optimal approximation formula for functions with singularities2018
- Author(s)
  Ken’ichiro Tanaka, Tomoaki Okayama and Masaaki Sugihara
- Journal Title
  
  Journal of Approximation Theory
  
  Volume: 234 Pages: 82-107
- DOI
  10.1016/j.jat.2018.06.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147, KAKENHI-PROJECT-17K14241
[Journal Article] Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization2018
- Author(s)
  Ken'ichiro Tanaka, Masaaki Sugihara
- Journal Title
  
  IMA Journal of Numerical Analysis
  
  Volume: - Issue: 4 Pages: 1957-1984
- DOI
  10.1093/imanum/dry056
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14241
[Journal Article] Potential Theoretic Approach to Design of Accurate Numerical Integration Formulas in Weighted Hardy Spaces2017
- Author(s)
  Ken’ichiro Tanaka, Tomoaki Okayama, and Masaaki Sugihara
- Journal Title
  
  Approximation Theory XV: San Antonio 2016
  
  Volume: 1 Pages: 335-360
- DOI
  10.1007/978-3-319-59912-0_17
- ISBN
  9783319599113, 9783319599120
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14241
[Journal Article] A fast and accurate numerical method for the symmetric Levy processes based on the Fourier transform and sinc-Gauss sampling formula2015
- Author(s)
  Ken'ichiro Tanaka
- Journal Title
  
  IMA Journal of Numerical Analysis
  
  Volume: (published online) Issue: 3 Pages: 1362-1388
- DOI
  10.1093/imanum/drv038
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis2015
- Author(s)
  Ken'ichiro Tanaka, Alexis Akira Toda
- Journal Title
  
  SIAM Journal on Numerical Analysis
  
  Volume: 53 Issue: 5 Pages: 2158-2177
- DOI
  10.1137/140971269
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] A new method of convergence acceleration of series expansion for analytic functions in the complex domain2015
- Author(s)
  Sunao Murashige, Ken'ichiro Tanaka
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 32 Issue: 1 Pages: 95-117
- DOI
  10.1007/s13160-014-0159-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] Error control of a numerical formula for the Fourier transform by Ooura's continuous Euler transform and fractional FFT2014
- Author(s)
  Ken'ichiro Tanaka
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 266 Pages: 73-86
- DOI
  10.1016/j.cam.2014.01.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] Convergence rates and explicit error bounds of Hill's method for spectra of self-Adjoint differential operators2014
- Author(s)
  Ken'ichiro Tanaka, Sunao Murashige
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 31 Issue: 1 Pages: 25-56
- DOI
  10.1007/s13160-013-0125-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods. Part II: Indefinite integration2013
- Author(s)
  Ken'ichiro Tanaka
- Journal Title
  
  Numerische Mathematik
  
  Volume: in press Issue: 3 Pages: 545-568
- DOI
  10.1007/s00211-013-0541-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060, KAKENHI-PROJECT-24760064
[Journal Article] Discrete approximations of continuous distributions by maximum entropy2013
- Author(s)
  Ken'ichiro Tanaka, Alexis Akira Toda:
- Journal Title
  
  Economics Letters
  
  Volume: 118 Issue: 3 Pages: 445-450
- DOI
  10.1016/j.econlet.2012.12.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] A Sinc method for an eigenvalue problem of a differential operator with periodic coefficients and its comparison with Hill's method2013
- Author(s)
  Ken'ichiro Tanaka:
- Journal Title
  
  Proceedings of 10th International Conference on Information Technology: New Generations (ITNG 2013)
  
  Volume: - Pages: 179-185
- DOI
  10.1109/itng.2013.31
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760064
[Journal Article] DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods. Part I: Definite integration and function approximation2013
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Numerische Mathematik
  
  Volume: in press Issue: 3 Pages: 511-543
- DOI
  10.1007/s00211-013-0540-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060, KAKENHI-PROJECT-24760064
[Journal Article] A new method for fast computation of cumulative distribution functions by fractional FFT2013
- Author(s)
  Ken'ichiro Tanaka
- Journal Title
  
  JSIAM Letters
  
  Volume: 5 Issue: 0 Pages: 57-60
- DOI
  10.14495/jsiaml.5.57
- NAID
  130003371124
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] 半正定値計画による多変数 cubature 公式の構成法2023
- Author(s)
  小暮祥弘, 田中健一郎
- Organizer
  第49回数値解析シンポジウム
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 最適化手法由来のヘッセ行列を伴う連続力学系モデルに対する数値解析学的アプローチ2022
- Author(s)
  上島智哉, 佐藤峻, 牛山寛生, 松尾宇泰, 田中健一郎
- Organizer
  日本応用数理学会第19回研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] Skeleton structure inherent in quantum walks2022
- Author(s)
  T. Yamagami, E. Segawa, K. Tanaka, T. Mihana, A. R?hm, R. Horisaki, M. Naruse
- Organizer
  2022 International Symposium on Nonlinear Theory and Its Applications (NOLTA2022)
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] Swap stepの無い条件付き勾配法およびkernel herding法への応用2022
- Author(s)
  田中健一郎
- Organizer
  京都大学応用数学セミナー (KUAMS)
- Invited
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 離散時間１次元量子ウォークの骨格構造について2022
- Author(s)
  山上智輝, 瀬川悦生, 田中健一郎, 巳鼻孝朋, レームアンドレ, 堀﨑遼一, 成瀬誠
- Organizer
  2022年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 量子ウォークにより駆動されるランダムウォークの推移確率の骨格構造2022
- Author(s)
  山上智輝, 瀬川悦生, 田中健一郎, 巳鼻孝朋, レームアンドレ, 堀﨑遼一
- Organizer
  電子情報通信学会複雑コミュニケーションサイエンス研究会（CCS/NLP) (プログラム)
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 均衡測度の数値計算に対する近似法について2022
- Author(s)
  上野颯人, 田中健一郎
- Organizer
  日本応用数理学会第19回研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 最適化手法由来のヘッセ行列を伴う連続力学系モデルに対する数値解析学的アプローチ2022
- Author(s)
  上島智哉, 佐藤峻, 牛山寛生, 松尾宇泰, 田中健一郎
- Organizer
  日本応用数理学会2023年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 最適輸送問題によるグラフ求積の定式化へのK-メディアン問題・ＤＣ計画によるアプローチ2022
- Author(s)
  大城隆之介, 田中健一郎
- Organizer
  日本応用数理学会 2022年度年会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 二重指数関数型数値積分公式によるガンマ関数の数値計算法の提案2022
- Author(s)
  山本かけい, 田中健一郎, 松尾宇泰
- Organizer
  日本応用数理学会 2022年度年会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 指数重み付き混合ベゾフ空間のウェーブレット係数による特徴づけに基づくスパースグリッドの構成2022
- Author(s)
  小暮祥弘, 田中健一郎
- Organizer
  2022年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 二重指数関数型減衰関数に対するSinc関数近似に基づく微分近似の誤差評価2022
- Author(s)
  岡山友昭, 田中健一郎
- Organizer
  日本応用数理学会 2022年度年会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] Pairwise Conditional Gradients without Swap Steps and Sparser Kernel Herding2022
- Author(s)
  Kazuma Tsuji, Ken'ichiro Tanaka, Sebastian Pokutta
- Organizer
  The 6th RIKEN-IMI-ISM-NUS-ZIB-MODAL-NHR Workshop on Advances in Classical and Quantum Algorithms for Optimization and Machine Learning
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] Pairwise Conditional Gradients without Swap Steps and Sparser Kernel Herding2022
- Author(s)
  Kazuma Tsuji, Ken'ichiro Tanaka, Sebastian Pokutta
- Organizer
  The 39th International Conference on Machine Learning (ICML 2022)
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] カーネル求積によるグラフ求積とその収束解析2021
- Author(s)
  大城隆之介，田中健一郎
- Organizer
  2021年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 二重指数関数型数値積分公式による行列符号関数の数値計算2021
- Author(s)
  中屋貴博，田中健一郎
- Organizer
  日本応用数理学会 2021年度年会
- Data Source
  KAKENHI-PROJECT-20H00581
[Presentation] 最悪誤差の勾配近似によるkernel herdingアルゴリズムの加速2021
- Author(s)
  辻和真, 田中健一郎
- Organizer
  日本応用数理学会 2021年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] グラフ求積へのFrank-Wolfe法の適用2021
- Author(s)
  大城隆之介，田中健一郎
- Organizer
  日本応用数理学会 2021年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] グラフ求積へのFrank－Wolfe法の適用2021
- Author(s)
  大城隆之介，田中健一郎
- Organizer
  日本応用数理学会 2021年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-20H01822
[Presentation] 精度制御型複素積分と電子状態計算ソフトRSDFTへの応用2020
- Author(s)
  小橋恒士, 吉見一慶, 田中健一郎, 星健夫
- Organizer
  日本応用数理学会 2020年度年会
- Data Source
  KAKENHI-PROJECT-20H00581
[Presentation] Generation of point sets by global optimization for kernel-based numerical integration2020
- Author(s)
  Ken’ichiro Tanaka
- Organizer
  "Probabilistic Numerical and Kernel-Based Methods", Special Session at Data-Centric Engineering Reading Group at The Alan Turing Institute
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 双対性による関数近似公式および数値積分公式の収束解析2019
- Author(s)
  早川知志，田中健一郎
- Organizer
  日本応用数理学会 2019年度年会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] Point-exchanging methods for obtaining kernel quadrature formula2019
- Author(s)
  Ryunosuke Oshiro, Ken'ichiro Tanaka
- Organizer
  16th International Conference on Approximation Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 等角写像による二重指数関数型数値積分公式の改良2019
- Author(s)
  京谷駿希, 田中健一郎
- Organizer
  日本応用数理学会 2019年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 再生核ヒルベルト空間に属する関数に対する点交換による求積公式の設計2019
- Author(s)
  大城隆之介, 田中健一郎
- Organizer
  日本応用数理学会 2019年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 解析関数に対する最良近似の評価および数理最適化による近似公式の構築2019
- Author(s)
  田中健一郎
- Organizer
  日本数学会 2019年度秋季総合分科会応用数学分科会特別講演
- Invited
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] Energy Minimization for Approximating Analytic Functions2018
- Author(s)
  Ken'ichiro Tanaka, Masaaki Sugihara
- Organizer
  The 16th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] ポテンシャルを利用した再生核ヒルベルト空間上の積分公式の設計2018
- Author(s)
  大城隆之介, 田中健一郎
- Organizer
  2018年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 有理凸多面体に含まれる整数点の数え上げの数値積分からのアプローチ2018
- Author(s)
  平井広志, 大城隆之介, 田中健一郎
- Organizer
  日本オペレーションズ・リサーチ学会研究部会最適化とその応用: 未来を担う若手研究者の集い 2018
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 代用電荷法におけるFekete点の近似2018
- Author(s)
  平野広明，田中健一郎
- Organizer
  日本応用数理学会 2018年度年会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 再生核ヒルベルト空間における関数近似のための標本点生成法について2018
- Author(s)
  田中健一郎
- Organizer
  日本応用数理学会 2018年度年会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] 離散エネルギー最小化による重み付き多項式補間の構成2018
- Author(s)
  平野広明, 田中健一郎
- Organizer
  日本応用数理学会2018年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] Generation of good point configurations by global optimization for interpolation in reproducing kernel Hilbert spaces2018
- Author(s)
  Ken'ichiro Tanaka
- Organizer
  13th SIAM East Asian Section Conference 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14241
[Presentation] A fast and accurate numerical method for the symmetric Levy processes based on the Fourier transform and sinc-Gauss sampling formula2015
- Author(s)
  Ken'ichiro Tanaka
- Organizer
  The 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015)
- Place of Presentation
  中国，北京
- Year and Date
  2015-08-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] 対称Levy過程に対する高速高精度数値計算法2014
- Author(s)
  田中健一郎
- Organizer
  2014年度応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス(滋賀県大津市)
- Year and Date
  2014-12-18
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Sinc-Gauss サンプリング公式を用いた高速グリッディングとその応用2014
- Author(s)
  田中健一郎
- Organizer
  日本応用数理学会2014年度研究部会連合発表会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Sinc-Gaussサンプリング公式とFFTを用いた高速数値不定積分2014
- Author(s)
  田中健一郎
- Organizer
  第43回数値解析シンポジウム
- Place of Presentation
  ホテル日航八重山(沖縄県石垣市)
- Year and Date
  2014-06-12
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Fokker-Planck方程式に対するモーメント調整による陽的差分法2014
- Author(s)
  田中健一郎
- Organizer
  電気通信大学情報数理工学セミナー
- Place of Presentation
  電気通信大学
- Invited
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] FFTを用いた実軸全体における分布関数の高速高精度計算2013
- Author(s)
  田中健一郎
- Organizer
  日本応用数理学会 2012年度連合発表会
- Place of Presentation
  東洋大学白山キャンパス
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Error estimate and convergence analysis of momentpreserving discrete approximations of continuous distributions2013
- Author(s)
  Ken’ichiro Tanaka, Alexis Akira Toda
- Organizer
  MaxEnt2013 (33rd International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering)
- Place of Presentation
  Pavilion on Northbourne, Canberra, Australia
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] A Sinc method for an eigenvalue problem of a differential operator with periodic coefficients and its comparison with Hill's method2013
- Author(s)
  Ken'ichiro Tanaka:
- Organizer
  10th International Conference on Information Technology: New Generations (ITNG 2013)
- Place of Presentation
  Flamingo Las Vegas (Las Vegas)
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Fourier変換に対する高精度数値計算公式の誤差制御2013
- Author(s)
  田中健一郎
- Organizer
  第42回数値解析シンポジウム
- Place of Presentation
  松山　道後館
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Fourier変換の高精度計算公式の誤差制御とその放物型方程式への応用2013
- Author(s)
  田中健一郎
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  福岡　アクロス福岡
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] SE-Sinc法が有効な関数族に対するDE-Sinc法の収束性について2013
- Author(s)
  岡山友昭，田中健一郎
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  福岡　アクロス福岡
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] Fourier変換に基づいた分布関数の数値計算2012
- Author(s)
  田中健一郎
- Organizer
  日本応用数理学会 2012年度年会
- Place of Presentation
  稚内全日空ホテル
- Data Source
  KAKENHI-PROJECT-24760064
[Presentation] 周期的な係数関数を持つ微分作用素の固有値問題に対するSinc数値計算法2012
- Author(s)
  田中健一郎
- Organizer
  一橋大学経済研究所第12回数理科学セミナー
- Place of Presentation
  一橋大学国立キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24760064

1. 宮武勇登 (60757384)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. Furihata Daisuke (80242014)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. 松尾宇泰 (90293670)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
4. 佐藤峻 (40849072)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
5. 曽我部知広 (30420368)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 荻田武史 (00339615)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 野中千穂 (10432238)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 星健夫 (80272384)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
9. 臼田毅 (80273308)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. OKAYAMA Tomoaki

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
11. VANMEURS PATRICK

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
12. 成瀬誠

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
13. 兵頭俊夫

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Tanaka Kenichiro 田中 健一郎

Tanaka Ken'ichiro 田中 健一郎

TANAKA Kenichiro 田中 健一郎

Research Projects

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Co-Researchers

New Development of Methods for Generating Sample Points by Variable TransformationPrincipal Investigator

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Analysis and creation of numerical analysis algorithms using product-type neural network deep learning

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Creation of a foundation for a numerical approach to deep learning

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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

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Versatile construction of highly accurate numerical methods based on potential theoryPrincipal Investigator

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Study of accurate numerical methods and verified computation relating to stochastic differential equationsPrincipal Investigator

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[Book] 変数変換型数値計算法2023

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[Book] 変数変換型数値計算法2023

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[Journal Article] Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization2024

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[Journal Article] Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation2024

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[Journal Article] Convergence rates for energies of interacting particles whose distribution spreads out as their number increases2023

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[Journal Article] 全反射高速陽電子回折（TRHEPD）を用いた表面構造決定におけるデータ駆動型感度解析2023

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[Journal Article] Skeleton structure inherent in discrete-time quantum walks2023

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[Journal Article] Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions2023

Author(s)

Tanaka Kenichiro 田中健一郎

Tanaka Ken'ichiro 田中健一郎

TANAKA Kenichiro 田中健一郎

[Journal Article] Generation of collocation points in the method of fundamental solutions for 2D Laplace's equation2019