Fuminori TATSUOKA, Ph.D

• A research engineer in Corporate Research and Development Dvision at IHI Corporation.

• I'm interested in

  • numerical analysis, especially numerical linear algebra such as computational methods for matrix functions,

  • mathematical optimization for real world problems,

  • robustness of machine learning algorithms.

• Email: f-tatsuoka [at] na.nuap.nagoya-u.ac.jp / tatsuoka3229 [at] ihi-g.co.jp

• GitHub, Google Scholar, LinkedIn

CV

Education

• Doctor's degree of Engineering (Mar. 2020)
  Department of Applied Physics, Graduate School of Engineering, Nagoya University

• Master's degree of Engineering (Mar. 2018)
  Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University

• Bachelor's degree of Engineering (Mar. 2016)
  Department of Physical Science and Engineering, School of Engineering, Nagoya University

Employment

• Apr. 2020 - Mar. 2021
  Postdoc at Nagoya University

• Apr. 2021 - Nov. 2023
  Software Engineer / Data Scientist at SMN Corporation

• Dec. 2023 -
  Research engineer at IHI Corporation

Fellowships

• Apr. 2018 - Mar. 2021
  JSPS Research Fellowship for Young Scientists (Grant No.18J22501)

Awards

• Jun. 2020: Best Presentation Award, Japan Society for Industrial and Applied Mathematics

• Sep. 2021: 2020-2021 EASIAM Student Paper Award (2nd prize)

Research

Publications (papers)

1. A preconditioning technique of Gauss–Legendre quadrature for the logarithm of symmetric positive definite matrices
   F. Tatsuoka, T. Sogabe, T. Kemmochi, S.-L. Zhang
   [arxiv] [GitHub Repository]

2. Computing the matrix exponential with the double exponential formula
   F. Tatsuoka, T. Sogabe, T. Kemmochi, S.-L. Zhang
   Spec. Matrices, 12-1 (2024) 20240013.
   [arXiv] [Github Repository]

3. Computing the matrix fractional power based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
   Electron. Trans. Numer. Ana., 54 (2021) 558–580.
   [arXiv] [Github Repository]

4. Algorithms for the computation of the matrix logarithm based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   J. Comput. Appl. Math., 373 (2020) 112396.
   [arXiv]

5. A note on computing the matrix fractional power using the double exponential formula (in Japanese)
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   Trans. Jpn. Soc. Ind. Appl. Math., 28 (2018) 142–161.

6. A cost-efficient variant of the incremental Newton iteration for the matrix pth root F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   J. Math. Res. Appl., 37 (2017) 107–118
   [arXiv]

Publications (not refereed papers, review articles, proceedings, etc.)

1. 行列対数関数のための二重指数関数型公式の収束率について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   RIMS講究録 No.2167, RIMS共同研究（公開型）諸科学分野を結ぶ基礎学問としての数値解析学, 京都大学数理解析研究所, (2020)
   [Github Repository]

2. 数値積分に基づく行列実数乗の計算について (in Japanese)
   立岡文理, 曽我部知広, 張紹良
   計算数理工学レビュー, 2019-2 (2019) 45–55

Talks (international conferences & workshops)

1. Numerical and Quantum Algorithms for Matrix Functions Based on Some Quadrature Formulas
   T. Sogabe, F. Tatsuoka, S. Takahira
   SIAM Conference on Applied Linear Algebra (SIAM LA24), May 13-17 2024 (talk: May 17).

2. Computing the matrix fractional power based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang
   SIAM Conference on Applied Linear Algebra (SIAM LA21), May 17-21 2021 (talk: May 20).

3. The double exponential formula for the matrix fractional power
   F. Tatsuoka (joint work with T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang)
   Czech-Japanese Seminar in Applied Mathematics (CJS 2021), Jan. 5-7 2020 (talk: Jan. 7)

4. Convergence analysis and a preconditioning of the double exponential formula for the matrix fractional power.
   F. Tatsuoka (joint work with T. Sogabe, T. Kemmochi, S.-L. Zhang)
   Workshop on Numerical Algebra and Scientific Computing, Nagoya University (Nagoya, Japan), Sep. 2 2019.

5. A scalar multiplication preconditioning of the double exponential formula for the matrix fractional power
   F. Tatsuoka (joint work with T. Sogabe, T. Kemmochi, S.-L. Zhang)
   Mini-Workshop on Computational Science, Dalian University of Technology (Dalian, China), Aug. 18-19 2019 (talk: Aug. 18).

6. On an interval truncation method of the double exponential formula for the matrix logarithm
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   SIAM East Asian Section Conference 2019 (EASIAM 2019), Wuhan University (Wuhan, China), Jun. 13-16 2019 (talk: Jun. 16).

7. A note on computing the $p$root of Sinc matrices
   F. Tatsuoka, T. Okayama, S.-L. Zhang, M. Sugihara
   16th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018), Sheraton Rhodes Resort (Rhodes, Greece), Sep. 13-18 2018 (talk: Sep. 14)

8. Computation of the matrix logarithm using the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   Numerical Analysis and Scientific Computation with Applications (NASCA 2018), Elite City Resort (Kalamata, Greece), Jul. 2-5 2018 (talk: Jul. 5).

9. Computation of the matrix fractional power based on the double exponential formula
   F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang
   SIAM East Asian Section Conference 2018 (EASIAM 2018), The University of Tokyo (Bunkyo, Tokyo), Jun. 22-25 2018 (talk: Jun. 24).

10. A fast and stable variant of incremental Newton iteration for the matrix $p$th root
    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang,
    SIAM East Asian Section Conference 2017 (EASIAM 2017), Seoul National University (Seoul, Korea), Jun. 22-25 2017 (talk: Jun. 24).

Talks (Japanese conference & workshops)

1. DE型積分公式に基づく行列関数計算の収束性改善のための部分固有対デフレーション技術
   今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良
   RIMS共同研究（公開型）計算科学に資する数値解析額の展開,
   京都大学, Oct. 23-25 2024

2. DE積分型行列関数計算法に対する部分固有対デフレーションに基づく収束性改善およびその性能評価
   今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良
   日本応用数理学会 2024年度 年会,
   京都大学, Sep. 14-16 2024

3. DE型積分公式に基づく行列関数計算に対するデフレーションによる収束性改善
   今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良
   数値解析シンポジウム2024,
   岩手大学, Jun. 12-14 2024

4. スカラー有理関数近似に基づく行列関数計算について
   立岡文理
   第22回量子情報ミニワークショップ
   つま恋リゾート彩の郷 Jan. 27-30
   

5. 行列実数乗の数値積分に対する定数倍の前処理について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   日本応用数理学会2021年度年会
   Sep. 7-9 2021 (talk: Sep. 9)

6. 数値積分を用いた行列対数関数の計算における前処理について
   立岡文理
   量子情報ミニワークショップ (talk: Feb. 24 2021)

7. 行列対数関数の数値計算について
   立岡文理
   量子情報ミニワークショップ,
   Hotel & Resort Nagahama (Shiga, Japan), Jan. 24-27 (talk: Jan. 25)

8. 数値積分に基づく行列対数関数の計算について
   立岡文理, 曽我部知広, 剱持智哉, 張紹良
   RIMS共同研究 (公開型) 諸科学分野を結ぶ基礎学問としての数値解析学,
   Kyoto University (Kyoto, Japan), Nov. 6-8 2019 (talk: Nov. 6)

9. 行列実数乗に対する二重指数関数型公式の収束性解析と前処理について
   立岡文理
   2019年度数値解析・HPC研究集会,
   (Shiga, Japan), Sep. 28-29 2019 (talk: Sep. 28)

10. 数値積分に基づく行列実数乗の計算について
    立岡文理, 曽我部知広, 張紹良,
    第37回 計算数理工学フォーラム,
    Nagoya University (Nagoya, Japan), Sep. 20 2019 (talk: Sep. 20)

11. 行列実数乗の計算に対する数値積分法のための前処理について
    立岡文理, 曽我部知広, 剱持智哉, 張紹良
    日本応用数理学会 2019年度年会,
    The University of Tokyo (Tokyo, Japan), Sep. 3-5 2019 (talk: Sep. 5)

12. 行列対数関数に対する二重指数関数型公式における積分区間の設定方法について
    立岡文理, 曽我部知広, 宮武勇登, 張紹良,
    日本応用数理学会 2019年度年会,
    The University of Tokyo (Tokyo, Japan), Sep. 3-5 2019 (talk: Sep. 5)

13. 行列実数乗に対する二重指数関数型公式の定数倍による前処理について
    立岡文理, 曽我部知広, 剱持智哉, 張紹良
    第48回数値解析シンポジウム,
    AOSSA (Fukui, Japan), Jun. 10-12 2019 (talk: Jun. 12)

14. 二重指数関数型公式を用いた行列対数関数の計算について
    立岡文理, 曽我部知広, 宮武勇登, 張紹良
    日本応用数理学会 第15回 研究部会連合発表会,
    University of Tsukuba (Tsukuba, Japan), Mar. 4-5 2019 (talk: Mar. 4)

15. 行列実数乗と数値積分による計算
    立岡文理
    応用数学フレッシュマンセミナー2018,
    Kyoto University (Kyoto, Japan), Nov. 12-13 2018 (talk: Nov. 13)

16. 二重指数関数型公式を用いた行列対数関数の計算
    立岡文理
    2018年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 9-10 2018 (talk: Sep. 9)

17. 行列$p$乗根のためのNewton法の高速化について
    立岡文理, 曽我部知広, 宮武勇登, 張紹良
    日本応用数理学会 第13回 研究部会連合発表会,
    The University of Electro-Communications, (Tokyo, Japan), Mar. 6-7 2017 (talk: Mar. 6)

18. 行列p乗根のためのNewton法の初期値について,
    立岡文理
    2017年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 28-29 2017 (talk: Sep. 28)

19. 行列3乗根のためのNewton法の初期値推定に対する試み,
    立岡文理
    2016年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 21-22 2017 (talk: 22)

20. 行列p乗根のためのIncrement型Newton法について (pp. 55-58)
    立岡文理, 曽我部知広, 宮武勇登, 張紹良
    第45回数値解析シンポジウム（NAS2016）,
    Kirishima Hotel (Kagoshima, Japan) Jun. 8-10 (talk: 9)

21. 行列累乗根を求めるためのIannazzo法の高速化,
    立岡文理
    2015年度数値解析・HPC研究集会,
    (Shiga, Japan), Sep. 2015