@book{CTT100927179, author = {田中健一郎 and 岡山友昭}, title = {変数変換型数値計算法}, publisher = {}, year = 2023, } @book{CTT100927191, author = {Ken'ichiro Tanaka and Masaaki Sugihara}, title = {Construction of Approximation Formulas for Analytic Functions by Mathematical Optimization}, publisher = {}, year = 2021, } @article{CTT100927175, author = {Takashi Goda and Yoshihito Kazashi and Ken'ichiro Tanaka}, title = {How Sharp Are Error Bounds? –Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions–}, journal = {SIAM Journal on Numerical Analysis}, year = 2024, } @article{CTT100927176, author = {Tomoya Kamijima and Shun Sato and Kansei Ushiyama and Takayasu Matsuo and Ken'ichiro Tanaka}, title = {Analysis of continuous dynamical system models with Hessians derived from optimization methods}, journal = {JSIAM Letters}, year = 2024, } @article{CTT100927177, author = {Yoshihiro Kogure and Ken'ichiro Tanaka}, title = {Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation}, journal = {Journal of Approximation Theory}, year = 2024, } @article{CTT100927178, author = {Satoshi Hayakawa and Ken'ichiro Tanaka}, title = {Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization}, journal = {Japan Journal of Industrial and Applied Mathematics}, year = 2024, } @article{CTT100927180, author = {Tomoki Yamagami and Etsuo Segawa and Ken'ichiro Tanaka and Takatomo Mihana and André Röhm and Ryoichi Horisaki and Makoto Naruse}, title = {Skeleton structure inherent in discrete-time quantum walks}, journal = {Physical Review A}, year = 2023, } @article{CTT100927181, author = {Tomoaki Okayama and Ken'ichiro Tanaka}, title = {Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions}, journal = {JSIAM Letters}, year = 2023, } @article{CTT100927182, author = {Patrick van Meurs and Ken'ichiro Tanaka}, title = {Convergence rates for energies of interacting particles whose distribution spreads out as their number increases}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, year = 2023, } @article{CTT100927184, author = {高倉 直哉 and 田中健一郎}, title = {指数減衰する関数に対する全周波数領域におけるフーリエ変換の高精度な近似公式}, journal = {日本応用数理学会論文誌}, year = 2022, } @article{CTT100927185, author = {Ryunosuke Oshiro and Ken'ichiro Tanaka}, title = {Quadratures over graphs via the Frank-Wolfe method and its variant}, journal = {JSIAM Letters}, year = 2022, } @article{CTT100927186, author = {Tomoaki Okayama and Ken'ichiro Tanaka}, title = {Yet another DE-Sinc indefinite integration formula}, journal = {Dolomites Research Notes on Approximation}, year = 2022, } @article{CTT100927187, author = {Satoshi Hayakawa and Ken'ichiro Tanaka}, title = {Monte Carlo construction of cubature on Wiener space}, journal = {Japan Journal of Industrial and Applied Mathematics}, year = 2021, } @article{CTT100927188, author = {中屋 貴博 and 田中健一郎}, title = {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}, journal = {日本応用数理学会論文誌}, year = 2021, } @article{CTT100927189, author = {高倉 直哉 and 田中健一郎}, title = {減衰度が指定された関数の近似に対する2つの公式の比較}, journal = {日本応用数理学会論文誌}, year = 2021, } @article{CTT100927190, author = {Yici Chen and Ken'ichiro Tanaka}, title = {Maximum likelihood estimation of the Fisher-Bingham distribution via efficient calculation of its normalizing constant}, journal = {Statistics and Computing}, year = 2021, } @article{CTT100927192, author = {Ryunosuke Oshiro and Ken'ichiro Tanaka}, title = {Effective methods for obtaining good points for quadrature in reproducing kernel Hilbert spaces}, journal = {JSIAM Letters}, year = 2020, } @article{CTT100927193, author = {Ken'ichiro Tanaka}, title = {Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces}, journal = {Numerical Algorithms}, year = 2020, } @article{CTT100927194, author = {Toni Karvonen and Simo Sarkka and Ken'ichiro Tanaka}, title = {Kernel-based interpolation at approximate Fekete points}, journal = {Numerical Algorithms}, year = 2020, } @article{CTT100927195, author = {Hiroshi Hirai and Ryunosuke Oshiro and Ken'ichiro Tanaka}, title = {Counting Integral Points in Polytopes via Numerical Analysis of Contour Integration}, journal = {Mathematics of Operations Research}, year = 2020, } @article{CTT100927196, author = {Satoshi Hayakawa and Ken'ichiro Tanaka}, title = {Error bounds of potential theoretic numerical integration formulas in weighted Hardy spaces}, journal = {JSIAM Letters}, year = 2020, } @article{CTT100927197, author = {Shunki Kyoya and Ken'ichiro Tanaka}, title = {Construction of conformal maps based on the locations of singularities for improving the double exponential formula}, journal = {IMA Journal of Numerical Analysis}, year = 2019, } @article{CTT100927198, author = {Shunki Kyoya and Ken'ichiro Tanaka}, title = {Improvement of the double exponential formula with conformal maps based on the locations of singularities}, journal = {JSIAM Letters}, year = 2019, } @article{CTT100927199, author = {Hiroaki Hirano and Ken'ichiro Tanaka}, title = {Generation of collocation points in the method of fundamental solutions for 2D Laplace's equation}, journal = {JSIAM Letters}, year = 2019, } @article{CTT100927200, author = {Ken'ichiro Tanaka and Tomoaki Okayama and Masaaki Sugihara}, title = {An optimal approximation formula for functions with singularities}, journal = {Journal of Approximation Theory}, year = 2018, } @article{CTT100927201, author = {Ken'ichiro Tanaka and Masaaki Sugihara}, title = {Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization}, journal = {IMA Journal of Numerical Analysis}, year = 2018, } @article{CTT100927202, author = {Takashi Ushima and 田中健一郎 and 岡山 友昭 and 杉原正顕}, title = {A function approximation formula using the Ganelius sampling points}, journal = {Transactions of the Japan Society for Industrial and Applied Mathematics}, year = 2017, } @article{CTT100927203, author = {Ken'ichiro Tanaka and Tomoaki Okayama and Masaaki Sugihara}, title = {Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces}, journal = {IMA Journal of Numerical Analysis}, year = 2016, } @article{CTT100927204, author = {Ken'ichiro Tanaka}, title = {A fast and accurate numerical method for symmetric Lévy processes based on the Fourier transform and sinc-Gauss sampling formula}, journal = {IMA Journal of Numerical Analysis}, year = 2015, } @article{CTT100927205, author = {Sunao Murashige and Ken'ichiro Tanaka}, title = {A new method of convergence acceleration of series expansion for analytic functions in the complex domain}, journal = {Japan Journal of Industrial and Applied Mathematics}, year = 2015, } @article{CTT100927206, author = {Ken'ichiro Tanaka and Alexis Akira Toda}, title = {Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis}, journal = {SIAM Journal on Numerical Analysis}, year = 2015, } @article{CTT100927207, author = {Ken'ichiro Tanaka}, title = {Error control of a numerical formula for the Fourier transform by Ooura’s continuous Euler transform and fractional FFT}, journal = {Journal of Computational and Applied Mathematics}, year = 2014, } @article{CTT100927209, author = {Ken'ichiro Tanaka and Sunao Murashige}, title = {Convergence rates and explicit error bounds of Hill’s method for spectra of self-adjoint differential operators}, journal = {Japan Journal of Industrial and Applied Mathematics}, year = 2013, } @article{CTT100927211, author = {Ken'ichiro Tanaka and Tomoaki Okayama and Takayasu Matsuo and Masaaki Sugihara}, title = {DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods}, journal = {Numerische Mathematik}, year = 2013, } @article{CTT100927212, author = {Tomoaki Okayama and Ken'ichiro Tanaka and Takayasu Matsuo and Masaaki Sugihara}, title = {DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods}, journal = {Numerische Mathematik}, year = 2013, } @article{CTT100927213, author = {Ken'ichiro Tanaka and Alexis Akira Toda}, title = {Discrete approximations of continuous distributions by maximum entropy}, journal = {Economics Letters}, year = 2013, } @article{CTT100927214, author = {Ken'ichiro Tanaka}, title = {A new method for fast computation of cumulative distribution functions by fractional FFT}, journal = {JSIAM Letters}, year = 2013, } @article{CTT100927215, author = {Ken'ichiro Tanaka and Masaaki Sugihara and Kazuo Murota}, title = {Function classes for successful DE-Sinc approximations}, journal = {Mathematics of Computation}, year = 2009, } @article{CTT100927216, author = {Ken'ichiro Tanaka and Masaaki Sugihara and Kazuo Murota and Masatake Mori}, title = {Function classes for double exponential integration formulas}, journal = {Numerische Mathematik}, year = 2008, } @article{CTT100927217, author = {Ken'ichiro Tanaka and Masaaki Sugihara and Kazuo Murota}, title = {Complex-analytic approach to the sinc-Gauss sampling formula}, journal = {Japan Journal of Industrial and Applied Mathematics}, year = 2008, } @article{CTT100927218, author = {Yusuke Kobayashi and Kazuo Murota and Ken'ichiro Tanaka}, title = {Operations on M‐Convex Functions on Jump Systems}, journal = {SIAM Journal on Discrete Mathematics}, year = 2007, } @article{CTT100927219, author = {Akiyoshi Shioura and Ken'ichiro Tanaka}, title = {Polynomial-Time Algorithms for Linear and Convex Optimization on Jump Systems}, journal = {SIAM Journal on Discrete Mathematics}, year = 2007, } @article{CTT100927220, author = {田中健一郎 and 杉原正顕 and 室田一雄}, title = {Error Estimate of a Gaussian Kernel Sampling Formula via Complex Analysis}, journal = {Transactions of the Japan Society for Industrial and Applied Mathematics}, year = 2007, } @article{CTT100927221, author = {Kazuo Murota and Ken'ichiro Tanaka}, title = {A Steepest Descent Algorithm for M-Convex Functions on Jump Systems}, journal = {IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences}, year = 2006, } @article{CTT100927222, author = {Ken'ichiro Tanaka and Masaaki Sugihara and Kazuo Murota}, title = {Numerical indefinite integration by double exponential sinc method}, journal = {Mathematics of Computation}, year = 2004, } @article{CTT100927223, author = {Ken'ichiro Tanaka and Sunao Murashige and Shin'ichi Oishi}, title = {On necessary and sufficient conditions for numerical verification of double turning points}, journal = {Numerische Mathematik}, year = 2004, } @inproceedings{CTT100927183, author = {Kazuma Tsuji and Ken'ichiro Tanaka and Sebastian Pokutta}, title = {Pairwise Conditional Gradients without Swap Steps and Sparser Kernel Herding}, booktitle = {The 39th International Conference on Machine Learning (ICML 2022)}, year = 2022, } @inproceedings{CTT100927208, author = {Ken'ichiro Tanaka and Alexis Akira Toda}, title = {Error estimate and convergence analysis of moment-preserving discrete approximations of continuous distributions}, booktitle = {}, year = 2014, } @inproceedings{CTT100927210, author = {Ken'ichiro Tanaka}, title = {A Sinc Method for an Eigenvalue Problem of a Differential Operator with Periodic Coefficients and Its Comparison with Hill's Method}, booktitle = {2013 10th International Conference on Information Technology: New Generations}, year = 2013, }