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Kubo, Masayoshi

Graduate School of Informatics, Department of Advanced Mathematical Sciences Senior Lecturer/ Junior Associate Professor

Kubo, Masayoshi
list
    Last Updated :2022/05/14

    Basic Information

    Faculty

    • 理学部 理学部

    Professional Memberships

    • 日本計算工学会
    • 日本数学会

    Academic Degree

    • 修士(理学)(京都大学)

    Academic Resume (Graduate Schools)

    • 京都大学, 大学院理学研究科数学専攻修士課程, 修了

    Academic Resume (Undergraduate School/Majors)

    • 京都大学, 理学部, 卒業

    Profile

    • Profile

      Education : 1998 March Ph. D. Kyoto University
      1995 March Master's Degree, Kyoto University
      Main Fields of Interest : Inverse problems for PDE
      Profession : 1998 - Associate Professor, Department of Applied Analysis and Complex Dynamical Systems, Kyoto University
      1995 - 1998 Assistant Professor, Department of Systems Innovation, Osaka University

    Language of Instruction

    • English

    ID,URL

    researchmap URL

    list
      Last Updated :2022/05/14

      Research

      Research Topics, Overview of the research

      • Research Topics

        Applied mathematics (Inverse Problems, Mathematical Analysis of Neural Networks)
      • Overview of the research

        Mathematical analysis of deep Learning.

      Research Interests

      • Applied Mathematics, Neural Network
      • 脳科学
      • 数値解析
      • 逆問題
      • Brain Science
      • Numerical Analysis
      • Inverse Problem

      Research Areas

      • Natural sciences, Applied mathematics and statistics
      • Natural sciences, Basic mathematics
      • Life sciences, Neuroscience - general
      • Life sciences, Neuroscience - general

      Papers

      • Suprathreshold stochastic resonance induced by ion channel fluctuation
        Go Ashida; Masayoshi Kubo
        PHYSICA D-NONLINEAR PHENOMENA, Mar. 2010, Peer-reviewed
      • Activity dynamics and propagation of synchronous spiking in locally connected random networks
        C Mehring; U Hehl; M Kubo; M Diesmann; A Aertsen
        BIOLOGICAL CYBERNETICS, May 2003, Peer-reviewed
      • Uniqueness in inverse hyperbolic problems - Carleman estimate for boundary value problems
        M Kubo
        JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, Oct. 2000, Peer-reviewed
      • L2-conditional stability estimate for the cauchy problem for the laplace equation
        M. Kubo
        Journal of Inverse and Ill-Posed Problems, 1994, Peer-reviewed
      • 局所フーリエ・ガウス変換による双曲型作用素の解の一意接続性
        久保 雅義
        ,, Peer-reviewed
      • Unique Continuation for Solutions to Hyperbolic Operators by a Localized Fourier-Gauss Transformation
        久保 雅義
        Journal of Inverse and Ill-posed Problems,, Peer-reviewed

      Misc.

      • IDENTIFICATION OF THE POTENTIAL TERM OF THE WAVE-EQUATION
        M KUBO
        PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Sep. 1995, Peer-reviewed
      • Numerical analysis for theinitial value problem for the laplace equation. (共著)
        久保 雅義
        Boundary Element Methods Elsevier,/,337-344, 1993, Peer-reviewed
      • 楕円形初期値問題に対するカルレマン評価と数値計算
        久保 雅義
        ,, Peer-reviewed
      • Carleman Estimates and Numerical Aspects for the Cauchy Problems for Elliptic Equations.
        久保 雅義
        Recent trends in inverse and ill-posed problems,, Peer-reviewed

      External funds: Kakenhi

      • Fundamental study for high-resolution diffused optical tomography based on numerical analysis and applied analysis
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Yuusuke Iso
        From 01 Apr. 2013, To 31 Mar. 2017, Project Closed
        応用数学;数理モデル;数値数学;光トモグラフィ;大規模数値計算;微分方程式;逆問題解析;数理モデリング;多倍長数値計算;DOT;数値解析
      • Estimation of modeling errors and their regularization in applied inverse problems
        Grant-in-Aid for Challenging Exploratory Research
        Kyoto University
        Yuusuke ISO
        From 28 Apr. 2011, To 31 Mar. 2013, Project Closed
        数学一般;応用数学;数値数学;数理モデル;応用解析;数値解析;逆問題解析;光トモグラフィ;逆問題;モデル化誤差;多倍長数値計算;正則化法
      • Interaction between areas of Mathematics related to internal structures of fractals
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Jun KIGAMI
        From 01 Apr. 2011, To 31 Mar. 2014, Project Closed
        フラクタル;解析学;確率論;力学系;ラプラシアン;熱核
      • Breakthrough in numerical analysis and numerical computation related with infinitely-precision arithmetic
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Yuusuke ISO
        From 01 Apr. 2010, To 31 Mar. 2013, Project Closed
        数学一般;応用数学;数値数学;数理モデル;応用解析;数値解析;多倍長数値計算;非適切問題解析;数値計算法;exflib;GPGPU;輸送方程式;Tricomi方程式
      • Mathematical Analysis of Inverse Problems for Applied Science and Application of Information Theory
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Masayoshi KUBO
        From 01 Apr. 2009, To 31 Mar. 2013, Project Closed
        逆問題;情報理論;数学解析;確率微分方程式;推定理論;Hodgkin-Huxley 方程式;Fisher情報量;数理モデル;Hodgkin-Huxley方程式;数値計算;確率共鳴;非線形システム
      • 高解像光トモグラフィの実現に向けての数学的基礎研究
        Grant-in-Aid for Challenging Exploratory Research
        Kyoto University
        磯 祐介
        Project Closed
        数値数学;数値解析;多倍長数値計算;トモグラフィ;輸送方程式;逆問題;光トモグラフィ
      • Aspects of Mathematics on Fractals
        Grant-in-Aid for Scientific Research (B)
        Kyoto University
        Jun KIGAMI
        Project Closed
        フラクタル;確率過程;熱核;タイリング;複素力学系;ジュリア集合;random walk;Tree;Cantor set;percolation cluster;調和関数;Martin境界;jump process
      • Mathematical Analysis and Applications of Information Theory for Inverse Problems
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        Masayoshi KUBO
        Project Closed
        逆問題;情報理論;数学解析;確率微分方程式;推定理論;安定性評価;パラメータ推定;Fisher情報量;最尤推定法;一意性
      • MRE法による生体内部の仮想的触診に不可欠な数理解析法の確立に向けて
        Grant-in-Aid for Exploratory Research
        Hokkaido University
        中村 玄
        Project Closed
        MRE;逆向題;弾性係数;粘性係数;乳ガン;MRE法;数値微分法;粘弾性体
      • 蛍光CTの基礎となる輸送方程式の逆問題の解の数値的再構成
        Grant-in-Aid for Exploratory Research
        Kyoto University
        磯 祐介
        Project Closed
        応用解析学;逆問題;数値解析;応用数学;光CT;多倍長数値計算;応用解数学;輸送方程式;非適切問題;スペクトル法;断層撮影法;医用CT
      • 医学・工学に現れる逆問題への応用解析
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        久保 雅義
        Project Closed
        Hodgkin-Huxley方程式;非線型;確率微分方程式;逆問題;数値解析;細胞内記録法;Hodgkin-Huxley model;非線型微分方程式;神経細胞;イオンチャネル;偏微分作用素;MEG;Maxwell方程式
      • 工学・医学に現れる逆問題の数学解析及び数値解析
        Grant-in-Aid for Young Scientists (B)
        Kyoto University
        久保 雅義
        Project Closed
        逆問題;偏微分作用素;一意接続性定理;Carleman評価;Exact Controllability;可制御性;マックスウェル方程式;波動方程式
      • 逆問題の解の構成に関する国際共同研究のための国内準備
        Grant-in-Aid for Scientific Research (C)
        Kyoto University
        久保 雅義
        Project Closed
        逆問題;非適切問題;逆問題解析;数値解析;多倍長数値計算
      • 楕円型境界値問題の高精度解法としての境界要素法
        Grant-in-Aid for Exploratory Research
        Kyoto University
        磯 祐介
        Project Closed
        境界要素法;境界値問題;高精度解法;多倍長計算;数値解析;逆問題;非適切問題;応用解析学;多倍長数値計算;境界積分方程式法
      • 自然科学に現れる逆問題の数学解析及び数値解析
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University
        久保 雅義
        Project Closed
        逆問題;双曲型偏微分方程式;pseudo-convex;Carleman評価;一意接続性;積分変換;波動方程式;exact controllability
      • Stability of solution and reconstruction in inverse problems
        Grant-in-Aid for Scientific Research (B)
        The University of Tokyo
        Masahiro YAMAMOTO
        Project Closed
        安定性;逆問題;インピーダンス・トモグラフィー;自由境界問題;有限要素法;多倍数計算;カールマン・フィルター;多倍長計算;幾何形状決定;係数決定;インピーダンス・トモグラフィ, stability;inverse problem;impedance tomography;free boundary problem;finite element;multile precision;Kalman filter
      • Mathematical Study of the Dynamical Cell Assembly Hypothesis as the Encoding Principle of the Brain
        Grant-in-Aid for Scientific Research (C)
        Kyoto Sangyou University
        Hiroshi FUJII
        Project Closed
        脳の情報表現;ユニタリー事象;Joint PSTH;意識化知覚;gap junction;抑制性介在細胞;時空カオス;過渡的シンクロニー;FS細胞;LTS細胞間;サドル・ノード分岐;アトラクタ痕跡;バインディング問題;Local Field Potentialの位相同期;抽象コインシデンス・ディテクター;GAP junction抑制系;コインシデンス・ディテクター;情報表現;主観的知覚;擬似アトラクター;テトロードアレイ電極;集団的コインシデンスディテクション;動的セル・アセンブリー, inhibitory neurons;gap junction;class I neuron;spatio-temporal chaos;A-channel;local field potential;FS cell
      • Mathematical Study of the Boundary Element Method and its Application to Inverse
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Yuusuke ISO
        Project Closed
        境界要素法;逆問題;非適切問題;数値解析;多倍長数値計算;境界積分方程式法;境界値問題;多倍長計算, Boundary Element Method;BEM;Numerical Analysis;Applied Analysis;Ill-posed Problems;Inverse Problems;Multiprecision Computations;Boundary Integral Equation
      • 数理工学における偏微分方程式の逆問題への一意接続性定理の応用と数値解析
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Kyoto University;Osaka University
        久保 雅義
        Project Closed
        Carleman評価;逆問題;一意接続性;偏微分方程式
      • Studies on linear and nonlinear differential equations with time delay
        Grant-in-Aid for Scientific Research (C)
        Osaka University
        Yoshinori KAMETAKA
        Project Closed
        マスカット問題;自由境界問題;非線形放物形偏微分方程式;自由境参問題;非線形放線形偏微分方程式;微分積分方程式;ミッタークレフラ-関数;境界層, Differential Integral Equation;Mittag-Leffler function;Muskat Problem;Interface;Free Boundary Problem
      • 「非適切問題における適切クラスの決定と積分方程式を利用した非適切問題の数値解析」
        Grant-in-Aid for Exploratory Research
        Kyoto University
        磯 祐介
        Project Closed
        逆問題;非適切問題;偏微分方程式;境界積分方程式法;数値解析;多倍長計算;安定性理論;境界要素法;積分方程式法;解析函数;差分法
      • 双曲型偏微分方程式に対する逆問題へのCarleman評価の応用と数値解析
        Grant-in-Aid for Encouragement of Young Scientists (A)
        Osaka University
        久保 雅義
        Project Closed
        逆問題;Carleman評価;一意接続性;偏微分方程式
      • Numerical Analysis for Ill-posed Problems Related with Engineering
        Grant-in-Aid for Scientific Research (B)
        KYOTO UNIVERSITY
        Yuusuke ISO
        Project Closed
        数値解析;非適切問題;逆問題;解の一意性;解の安定性;非適切問題(ill-posed problems);適切問題(well-posed problems);断層撮影法;システムの制御問題;非適切問題の適切クラス;逆問題解析;逆問題の数値計算;条件安定評価;数値計算アルゴリズム;弾性体逆問題;欠陥同定問題;数理工学, Numerical Analysis;Ill-posed Problems;Inverse Problems;Uniqueness Theory;Stability Theory

      External funds: others

      • Research on Inverse Problems for P. D. E. 's.
      • Brain Science
      list
        Last Updated :2022/05/14

        Education

        Teaching subject(s)

        • From Apr. 2011, To Mar. 2012
          Linear Algebra B
          Fall, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Advanced Calculus A
          Spring, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          Advanced Calculus B
          Fall, 全学共通科目
        • From Apr. 2011, To Mar. 2012
          応用解析学特論II
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          複雑系科学特殊研究I
          Year-long, 情報学研究科
        • From Apr. 2011, To Mar. 2012
          複雑系科学特殊研究Ⅱ
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2012, To Mar. 2013
          Topics in Applied Analysis II
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2012, To Mar. 2013
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2013, To Mar. 2014
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2013, To Mar. 2014
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2014, To Mar. 2015
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2014, To Mar. 2015
          Linear Algebra B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Linear Algebra A
          Spring, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Linear Algebra B
          Fall, 全学共通科目
        • From Apr. 2015, To Mar. 2016
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2015, To Mar. 2016
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2016, To Mar. 2017
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Applied Analysis B
          Spring, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Study in Applied Analysis and Complex Dynamical Systems1
          Year-long, 情報学研究科
        • From Apr. 2016, To Mar. 2017
          Advanced Study in Applied Analysis and Complex Dynamical Systems2
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Advanced Calculus II - Differential Equations
          Fall, 全学共通科目
        • From Apr. 2017, To Mar. 2018
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Applied Analysis A
          Spring, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Advanced Study in Mathematical Sciences II
          Year-long, 情報学研究科
        • From Apr. 2017, To Mar. 2018
          Advanced Study in Mathematical Sciences I
          Year-long, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2018, To Mar. 2019
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2018, To Mar. 2019
          Applied Analysis B
          Spring, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2019, To Mar. 2020
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2019, To Mar. 2020
          Applied Analysis A
          Spring, 情報学研究科
        • From Apr. 2020, To Mar. 2021
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2020, To Mar. 2021
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2020, To Mar. 2021
          Applied Analysis B
          Spring, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Calculus A
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Calculus B
          Fall, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Seminar on Applied Analysis 1
          Year-long, 情報学研究科
        • From Apr. 2021, To Mar. 2022
          Applied Analysis A
          Spring, 情報学研究科
        list
          Last Updated :2022/05/14

          Administration

          Faculty management (title, position)

          • From 01 Apr. 2012, To 31 Mar. 2017
            図書WG委員
          • From 01 Apr. 2017, To 31 Mar. 2018
            評価WG委員
          • From 01 Apr. 2018, To 31 Mar. 2019
            評価WG委員
          • From 01 Apr. 2019, To 31 Mar. 2022
            評価WG委員

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