Stochastic Analysis of Information Theory

Complex Analysis

Informatics, Statistical science, Statistical Science

Informatics, Sensitivity (kansei) informatics, Sensitivity Informatics/Soft Computing

Natural sciences, Basic analysis, Basic Analysis

Apr. 2020 - Present
Professor of Department of Mathematics, College of Science & Technology, Nihon University

01 Apr. 2020
Professor of Department of Mathematics, College of Science & Technology, Nihon University

01 Apr. 2013 - 31 Mar. 2020
Assistant Professor of Department of Mathematics, College of Science & Technology, Nihon University

Apr. 2013 - Mar. 2020
Assistant Professor of Department of Mathematics, College of Science & Technology, Nihon University

01 Apr. 2010 - 31 Mar. 2013
Assistant Professor of Department of Mathematics, College of Science & Technology, Nihon University

Apr. 2010 - Mar. 2013
Assistant Professor of Department of Mathematics, College of Science & Technology, Nihon University

01 Oct. 2006 - 31 Jul. 2008
Researcher of Grant-in-Aid for Scientific Research

Oct. 2006 - Jul. 2008
Researcher of Grant-in-Aid for Scientific Research

★The free energy of the mean field approximation in normal crossing functions
Miki AOYAGI
THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS, Mar. 2023, Not refereed, Not invited
Lead

Consideration on the learning efficiency of multiple-layered neural networks with linear units
Miki Aoyagi
Neural Networks, Apr. 2024, Refereed
Lead

Learning coefficients for hierarchical learning models in Bayesian Estimation
青柳美輝; 山崎啓太; 大場智康
JSM Proceedings 2023, Sep. 2023
Lead

Learning coefficients of normal mixture models in one dimension
Ryuji ITO; Miki AOYAGI; Seikai ASHIZAWA; Yuki TSUKAMOTO; and Daisuke KAJI
THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS, Mar. 2022, Not refereed, Not invited
Corresponding

Learning coefficients of normal mixture models in one dimension
Genki WATANABE; Ryuji ITO; Miki AOYAGI
THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS, Mar. 2021, Not refereed, Not invited
Last

Learning coefficients and information criteria
Miki Aoyagi
Frontiers in Artificial Intelligence and Applications, Aug. 2019, Refereed, Invited
Lead

Learning Coefficient of Vandermonde Matrix-Type Singularities in Model Selection
Miki Aoyagi
Entropy, Jun. 2019, Refereed, Invited
Lead

The improving method of Singular Bayesian information criterion by,analyzing learning coefficients
Sayaka SUZUKI; Souta SHINA; Miki AOYAGI
THE INSTITUTE OF ELECTRONICS, INFORMATION AND COMMUNICATION ENGINEERS, Mar. 2018, Not refereed, Not invited
Last

Learning coefficients and reproducing true probability functions in learning systems
Miki Aoyagi
New Trends in Analysis and Interdisciplinary Applications, Trends in Mathematics, Apr. 2017, Refereed, Not invited
Lead

Learning theory and learning coefficients
Miki Aoyagi and Okada Kensuke
数理解析研究所講究録, 再生核の応用についての研究,, Oct. 2015, Refereed, Invited
Lead

平面上の曲線と複素数の指導におけるMathematica の活用例
青柳美輝・平田典子・山本修一
RIMS 研究集会「数学ソフトウェアとその効果的教育利用に関する研究」, Aug. 2014, Not refereed, Not invited

数学科教育法の授業における動的画像導入に関する考察 ～画像処理とMathematica の活用による学習効果創出～
青柳美輝・平田典子・山本修一
日本大学理工学部一般教育教室彙報, Oct. 2013, Refereed, Not invited

Consideration on Singularities in Learning Theory and the Learning Coefficient
Miki Aoyagi
ENTROPY, Sep. 2013, Refereed, Invited

Learning coefficient in Bayesian estimation of restricted Boltzmann machine,
Miki Aoyagi
Journal of Algebraic Statistics, Jun. 2013, Refereed, Not invited

Learning coefficient of generalization error in Bayesian estimation and Vandermonde matrix type singularity
Miki Aoyagi and Kenji Nagata
Neural Computation, Jun. 2012, Refereed, Not invited
Lead

IT Support System of Female Scientists in Nihon University
Noriaki Yoshikai; Tomoe Kitahara
IEICE Technical Report SITE2010, Dec. 2010, Not refereed, Not invited

Bayesian learning coefficient of generalization error and Vandermonde matrix type singularities
M. Aoyagi
Communications in Statistics - Theory and Methods, Jul. 2010, Refereed, Not invited
Lead

Log canonical threshold and singularities in learning theory
M. Aoyagi
数理解析研究所講究録, ポテンシャル論とベルグマン核, Jul. 2010, Not refereed, Not invited
Lead

Stochastic Complexity and Generalization Error of a Restricted Boltzmann Machine in Bayesian Estimation
M. Aoyagi
Journal of Machine Learning Research, Apr. 2010, Refereed, Not invited
Lead

Asymptotic Analysis of Bayesian Generalization Error with Newton Diagram
M. Aoyagi; K. Yamazaki; S. Watanabe
Neural Networks, Jan. 2010, Refereed, Not invited

The zeta function for learning theory and resolution of singularities
M. Aoyagi and S. Watanabe
More Progresses in Analysis, World Scientific, May 2009, Refereed, Not invited
Lead

Log canonical threshold of Vandermonde matrix type singularities and generalization error of a three layered neural network in Bayesian estimation
M. Aoyagi
International Journal of Pure and Applied Mathematics, Feb. 2009, Refereed, Not invited
Lead

Log canonical threshold of Vandermonde matrix type singularities and learning theory
M. Aoyagi
数理解析研究所講究録, 再生核の応用についての研究, Dec. 2008, Not refereed, Not invited
Lead

Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation
M. Aoyagi and S. Watanabe
Modeling Decisions for Artificial Intelligence, Lecture Notes in Computer Science, Springer, Aug. 2007, Refereed, Not invited
Lead

Eye Direction by Stereo Image Processing using Corneal Reflection on an Iris
M. Aoyagi; K. Tsuji
Proceedings of the Second IASTED International Conference on Computational Intelligence, Nov. 2006, Refereed, Not invited

Generalization Error of Three Layered Learning Model in Bayesian Estimation
M. Aoyagi and S. Watanabe
Proceedings of the Second IASTED International Conference on Computational Intelligence, Nov. 2006, Refereed, Not invited
Lead

ベイズ法における三層学習モデルの確率的複雑さ
青柳 美輝, 渡辺 澄夫
2006 Workshop on Information-Based Induction Sciences, Oct. 2006, Refereed, Not invited
Lead

Generalization Error of Three-Layer Neural Perceptron in Bayesian Estimation
M. Aoyagi and S. Watanabe
2005 Workshop on Information-Based Induction Sciences, Nov. 2005, Refereed, Not invited
Lead

Stochastic Complexities of Reduced Rank Regression in Bayesian Estimation
M. Aoyagi and S. Watanabe
Neural Networks, Sep. 2005, Refereed, Not invited
Lead

The maximum pole of the zeta function for learning theory
M. Aoyagi and S. Watanabe
Proceedings of the 12th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Aug. 2005, Not refereed, Not invited
Lead

A modified genetic algorithm for feature clustering
M. Aoyagi; K. Tsuji
Proceedings of the 12th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, Aug. 2005, Not refereed, Not invited
Lead

The Generalization Error of Reduced Rank Regression Models and Resolution of Singularities
M. Aoyagi and S. Watanabe
Technical report of IEICE, NC2004, Nov. 2004, Refereed, Not invited
Lead

Kullback Information of Normal Mixture is not an Analytic Function
M. Aoyagi; S. Watanabe and K. Yamazaki
Technical report of IEICE, NC2004, Nov. 2004, Refereed, Not invited

Stochastic Complexity and Newton Diagram
M. Aoyagi; K. Yamazaki; S. Watanabe
International Symposium on Information Theory and its Applications, Oct. 2004, Refereed, Not invited

The Generalization Error of Reduced Rank Regression in Bayesian Estimation
M. Aoyagi and S. Watanabe
International Symposium on Information Theory and its Applications, Oct. 2004, Refereed, Not invited
Lead

A modified genetic algorithm for image segmentation based on feature clustering
M. Aoyagi and K. Tsuji
International Symposium on Information Theory and its Applications, Oct. 2004, Refereed, Not invited
Lead

Resolution of singularities and its application to learning theory
M. Aoyagi and S. Watanabe
Technical report of IEICE, NC2003-26, Nov. 2003, Refereed, Not invited
Lead

Artin component and Weyl group for dihedral singularity
M. Aoyagi
数理解析研究所講究録, 多変数関数論の萌芽的研究, Apr. 2003, Not refereed, Not invited
Lead

Recognition of planar shapes by a semi-differential invariant for moving triangles
M. Aoyagi; K. Tsuji
J. Comp. and Appl. Math., Mar. 2003, Refereed, Not invited

Deformation of singularities via quivers
M. Tsuji
Proceedings of the Second ISAAC Congress, Kluwer, Dec. 2000, Not refereed, Not invited
Lead

Dimca hypersurfaces and Nagata automorphisms
M. Tsuji
Math. Nachr., Sep. 2000, Refereed, Not invited
Lead

Deformation spaces of quotient surface singularities
M. Tsuji
Proceedings of the eighth international colloquium on finite or infinite dimensional complex analysis, Aug. 2000, Not refereed, Not invited
Lead

Special reflexive modules and the first Chern class, Finite or Infinite Dimensional Complex Analysis
M. Tsuji
Lecture Notes in Pure and Applied Mathematics, Jul. 2000, Refereed, Not invited
Lead

Equicontinuity Domain and the Disk Property
M. Tsuji; M. Abe and M. Furushima
Complex Var. Theory Appl., May 1999, Refereed, Not invited

Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter
J. Kajiwara; K. H. Shon; M. Tsuji
Czechoslovak Math. J., Dec. 1998, Refereed, Not invited

Parameter Analysis
M. Tsuji; J. Kajiwara and K. H. Shon
Recent Developments in Complex Analysis and Computer Algebra, Kluwer,, Dec. 1998, Refereed, Not invited

Identification of density distribution with time parameter
M. Tsuji
Recent Developments in Complex Analysis and Computer Algebra, Kluwer, Dec. 1998, Refereed, Not invited
Lead

Geometric Consideration of Extension Problem
M. Tsuji
数理解析研究所講究録, 多変数函数論にあらわれる解析と幾何, Aug. 1998, Not refereed, Not invited
Lead

Numerical Analysis of Real Inverse Formula
M. Tsuji
Proceedings of the Sixth International Conference on Finite or Infinite Dimensional Complex Analysis, Aug. 1998, Not refereed, Not invited
Lead

Extension Problem of Holomorphic Functions
M. Tsuji
数理解析研究所講究録, CR geometry and isolated singularities conference, Apr. 1998, Not refereed, Not invited
Lead

Numerical Analysis on ∂ - Problem and Extension of Holomorphic Functions from Lower Dimensional Subvarieties
J. Kajiwara; C. L. Parihar; V. M. Raffee; M. Tsuji
Proceedings of the Seventh International Colloquium on Differential Equations, VSP, Sep. 1997, Not refereed, Not invited
Corresponding

Identification of Density Distribution due to One-codimensional Projected Figures
M. Tsuji
Proceedings of the Seventh International Colloquium on Differential Equations, VSP, Sep. 1997, Not refereed, Not invited
Lead

Comparison of Pseudozeros and Pseudospectra for Polynomials with Multiple Zeros
S. Kado; V. M. Raffee; M. Tsuji
Proceedings of the Fourth International Colloquium on Finite or Infinite Dimensional Complex Analysis, Dec. 1996, Not refereed, Not invited
Corresponding

Numerical Methods for ∂ - Problem
J. Kajiwara; V. M. Raffee; M. Tsuji
Proceedings of the Beijing Workshop on Finite or Infinite Dimensional Complex Analysis, Dec. 1996, Not refereed, Not invited
Corresponding

On a problem of Ohsawa
M. Tsuji
Geometric Complex Analysis, World Scientific, Jun. 1996, Refereed, Not invited
Lead

Continuation of bounded holomorphic functions from one-codimensional subspace to pseudoconvex domains
M. Tsuji
Proceedings of the Sixth International Colloquium on Differential Equations, VSP, Jun. 1996, Not refereed, Not invited
Lead

Multi-Peak System Identification with Gauss-Weierstrass Transform
M. Tsuji
Proceedings of the Sixth International Colloquium on Differential Equations, VSP, Jun. 1996, Not refereed, Not invited
Lead

Counterexample of a bounded domain for Ohsawa's problem
H. Hamada and M. Tsuji
Complex Var. Theory Appl., Jan. 1996, Refereed, Not invited

Inverse Formula for Laplace Transform
J. Kajiwara; M. Tsuji
Proceedings of the Fifth International Colloquium on Differential Equations, VSP, Dec. 1995, Not refereed, Not invited
Corresponding

Localization of Global Existence of Holomorphic Solutions of Analytic Linear Differential Equations with Infinite Dimensional Parameter
J. Kajiwara; K. H. Shon; M. Tsuji
Proceedings of the Third International Colloquium on Finite or Infinite Dimensional Complex Analysis, Dec. 1995, Not refereed, Not invited

Counterexample of an unbounded domain for Ohsawa's problem
M. Tsuji
Complex Var. Theory Appl., Aug. 1995, Refereed, Not invited
Lead

Spectrum for Infinite Dimensional Domains
J. Kajiwara; D. K. Kim; M. Tsuji
Proceedings of the Sixth International Colloquium on Differential Equations, Aug. 1995, Not refereed, Not invited

Real Zeros of Holomorphic Functions with Parameters IV: Repeated Complex and Real Numerical Integration
J. Kajiwara; L. Li; M. Tsuji
Proceedings of the Fourth International Colloquium on Numerical Analysis, Aug. 1995, Not refereed, Not invited
Corresponding

Surfaces Associated to Real Zeros of Holomorphic Functions with Parameters
M. Tsuji and J. Kajiwara
Proceedings of the Third International Colloquium on Numerical Analysis, VSP, May 1995, Not refereed, Not invited
Corresponding

A Multi-Peak System Identification
M. Tsuji
Proceedings of the Third International Colloquium on Numerical Analysis, VSP, May 1995, Not refereed, Not invited
Lead

Domains of Definition of Adjoint Operators
M. Tsuji
Proceedings of the Second Korean-Japanese Colloquium on Finite or Infinite Dimensional Complex Analysis, Dec. 1994, Not refereed, Not invited
Lead

Real Zeros of Holomorphic Functions with Parameters II: Complex Numerical Integration Using Fortran 77,
M. Tsuji; J. Kajiwara and L. Li
Math. J. Toyama Univ., Jan. 1993, Refereed, Not invited
Corresponding

女子学生の理工系選択における高等学校の教科「数学」の寄与に関する考察
田中美佐・青柳美輝・平田典子
工学教育, Nov. 2014, Refereed, Not invited

学習システムの理論と実現
渡辺澄夫; 萩原克幸; 赤穂昭太郎; 本村陽一; 福水健次; 岡田真人, Joint work, 162-191, 渡辺澄夫; 萩原克幸; 赤穂昭太郎; 本村陽一; 福水健次; 岡田真人
森北出版, Jul. 2005, Not refereed
4627829418

Singular leaning theory and algebraic geometry
Miki Aoyagi
Conference on Singular Learning Theory, Oxford England, Nov. 2023, Invited

Leaning coefficients for hierarchical learning models in Bayesian estimation,
Miki Aoyagi
Algebraic and geometric methods in inference in 023 Joint Statistical Meetings,, Aug. 2023, Invited

正規交差関数の平均場近似における自由エネルギーについて
青柳美輝
情報論的学習理論と機械学習研究会, Mar. 2023, Not invited

ベイズ推測における正則モデルに対する考察
塚本雄基,青柳美輝
日本大学理工学部学術講演会, Dec. 2022, Not invited

理工系学生に対するデータサイエンス数理コースのシステム構築
青柳美輝; 塚本雄基
第70回年次大会・工学教育研究講演会, Sep. 2022, Not invited

教育力・教育システムII
第70回年次大会・工学教育研究講演会, Sep. 2022, Not invited

深層線形ニューラルネットワークの学習係数について
伊藤龍二,青柳美輝,芦沢成海,塚本雄基,梶大介
情報論的学習理論と機械学習研究会, Mar. 2022, Not invited

一次元混合正規分布の学習係数について
渡辺元気,伊藤龍二,青柳美輝
情報論的学習理論と機械学習研究会, Mar. 2021, Not invited

事後分布とその実現手法
池田宗馬,青柳美輝
日本大学理工学部学術講演会, Dec. 2020, Not invited

ベイズ推定における回帰問題について
渡邉元気,青柳美輝
日本大学理工学部学術講演会, Dec. 2020, Not invited

Learning coefficients and information criteria
Miki Aoyagi
THE 5TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND DATA MINING (FSDM2019), Oct. 2019, Invited

モデル選択における情報量基準について
椎名颯太,青柳美輝
日本大学理工学部学術講演会, Dec. 2018, Not invited

学習係数の解析による特異ベイズ情報量基準の改良
鈴木沙也加,椎名颯太,青柳美輝
情報論的学習理論と機械学習研究会, Mar. 2018, Not invited

ベイズ推定とギブズ推定
岡田憲相; 青柳美輝
日本大学理工学部学術講演会, Dec. 2016, Not invited

Learning theory and learning coefficients
Miki Aoyagi and Okada Kensuke
数理解析研究所講究録, 再生核の応用についての研究,, Oct. 2015, RIMS Symposium, 再生核の応用についての総合的な研究, 京都大学(数理研), Invited

Learning coefficients and reproducing true probability functions in learning systems
Miki Aoyagi
The tenth ISAAC Congress, Aug. 2015, Invited

学習理論における特異性の超関数を使った解析について
高橋健彰; 青柳美輝
日本大学理工学部学術講演会, Dec. 2014, Not invited

学習理論における特異性と特異点解消について
高村京輔; 青柳美輝
日本大学理工学部学術講演会, Dec. 2014, Not invited

数学に対する女子学生の興味確定時期の調査アンケート解析
青柳美輝・田中美佐・平田典子
数学教育学会春季年会 発表論文集 大学数学教育分科会1 (春の学会号) p. 255-257, Mar. 2014, Not invited

Learning coefficient and singular fluctuation in statistical learning theory
M. Aoyagi
Algebraic Statistics in the Alleghenies, Jun. 2012, Not invited

Consideration on singularities in learning theory and real log canonical threshold
M. Aoyagi
Singular learning theory: connecting algebraic geometry and model selection in statistics, AIM Research Conference Center, Dec. 2011, Not invited

学習理論とVandermonde Matrix 型特異性
青柳美輝
第55回日本大学理工学部学術講演会, Nov. 2011, Not invited

Log canonical threshold and singularities in learning theory
M. Aoyagi
RIMS Symposium, Dec. 2009, Not invited

Log canonical threshold of Vandermonde matrix type singularities and learning theory
M. Aoyagi
RIMS Symposium, Sep. 2008, Not invited

Log canonical threshold of Vandermonde matrix type singularities
M. Aoyagi
特殊多様体, 夏の学校, 東大の玉原セミナーハウス, Jul. 2008, Not invited

Resolution of Singularities and Stochastic Complexity of Complete Bipartite Graph-Type Spin Model in Bayesian Estimation
Miki Aoyagi; Sumio Watanabe
The Fourth Interna- tional Conference on Modeling Decisions for Arti cial Intelligence, Aug. 2007, Not invited

Resolution of Singularities and Stochastic Complexity ofComplete Bipartite Graph-Type Spin Model in Bayesian Estimation
Miki Aoyagi; Sumio Watanabe
The Fourth Interna-tional Conference on Modeling Decisions for Articial Intelligence, Aug. 2007, Not invited

Generalization Error of Three Layered Learning Model in Bayesian Estimation
M. Aoyagi; S. Watanabe
The Second IASTED International Conference on Computational Intelligence, Nov. 2006, Not invited

Eye Direction by Stereo Image Processing using Corneal Reflection on an Iris
M. Aoyagi; K. Tsuji
The Second IASTED International Conference on Computational Intelligence, Nov. 2006, Not invited

ベイズ法における三層学習モデルの確率的複雑さ
青柳美輝,渡辺澄夫
2006 Workshop on Information-Based Induction Sciences, Oct. 2006, Not invited

三層ニューラルネットワークの汎化誤差と特異点解消
青柳美輝
RIMS Symposium, Recent Topics on Real and Complex Singularities, Nov. 2005, Not invited

The zeta function for learning theory and resolution of singularities
M. Aoyagi; S. Watanabe
The fifth ISAAC Congress, Jul. 2005, Not invited

Eye direction by stereo image processing
K. Tsuji; M. Aoyagi
The fifth ISAAC Congress, Jul. 2005, Not invited

The zeta function for learning theory and resolution ofsingularities
M. Aoyagi; S. Watanabe
The fifth ISAAC Congress, Jul. 2005, Not invited

Desingularization in learning theory
M. Aoyagi
RIMS Symposium, 多変数関数論の萌芽的研究, Nov. 2004, Not invited

A modified genetic algorithm for image segmentation based on feature clustering
M. Aoyagi; K. Tsuji
The 2004 International Symposium on Information Theory and its Applications, Oct. 2004

The Generalization Error of Reduced Rank Regression in Bayesian Estimation
M.Aoyagi; S. Watanabe
The 2004 International Symposium on Information Theory and its Applications, Oct. 2004

A modified genetic algorithm for image segmentation based onfeature clustering
M. Aoyagi; K. Tsuji
The 2004 International Symposium on Information Theory and its Applications, Oct. 2004, Not invited

The Generalization Error of Reduced Rank Regression inBayesian Estimation
M.Aoyagi; S. Watanabe
The 2004 International Symposium on Information Theory and its Applications, Oct. 2004, Not invited

A modified genetic algorithm for image segmentation by controlling mutations
M. Aoyagi; K. Tsuji
第12回国際有限無限次元複素会議, Jul. 2004, Not invited

The maximum pole of the zeta function for learning theory
M. Aoyagi; S. Watanabe
第12回国際有限無限次元複素会議, Jul. 2004, Not invited

特異点解消と学習理論への応用
青柳美輝,渡辺澄夫
電子情報通信学会ニューロコンピューティング研究会, Jul. 2003, Invited

Artin component and Weyl group for dihedral singularity
M. Tsuji
RIMS Symposium, 多変数関数論の萌芽的研究, Nov. 2002, Not invited

Dimca hypersurfaces and Nagata automorphisms
M. Tsuji
Arbeitsgemeinschaft ueber Algebraische Geometrie und Zahlentheorie, Mathematisches Seminar der Universitaet Hamburg, Nov. 1998, Not invited

Equicontinuity Domains and the Disk Property
M. Abe; M. Furushima; M. Tsuji
函数論シンポジュウム, Jul. 1998, Not invited

Dimca hypersurfaces and Nagata automorphisms
M. Tsuji
RIMS Symposium, $C^n$をめぐる諸問題について, Feb. 1998, Not invited

Equicontinuity Domains and Montel Domains with Disk Property
M. Abe; M. Furushima; M. Tsuji
日本数学会九州支部例会, Jan. 1998, Not invited

Dimcaの超曲面と一般化された Nagata automorphismについて
辻美輝
1997年度日本数学会秋季総合分科会函数論分科会一般講演, Oct. 1997, Not invited

Dimca hypersurfaces and generalized Nagata automorphisms
辻美輝
多変数関数論サマーセミナー, Jul. 1997, Not invited

Geometric Consideration of Extension Problem
M. Tsuji
RIMS Symposium, 多変数函数論にあらわれる解析と幾何, Jul. 1997, Not invited

Identification of density distribution with time parameter
M. Tsuji
International Society for Analysis, Applications and Computation, Jun. 1997, Not invited

Parameter Analysis
M. Tsuji; J. Kajiwara; K. H. Shon
International Society for Analysis, Applications and Computation, Jun. 1997, Not invited

Extension problem of holomorphic functions
M. Tsuji
RIMS Symposium on CR geometry and isolated singularities conference, Dec. 1996, Not invited

Identification of Density Distribution due to One-codimensional Projected Figures
M. Tsuji
Seventh International Colloquium on Differential Equations, Aug. 1996, Not invited

Numerical Analysis on ∂-Problem and Extension of Holomorphic Functions from Lower Dimensional Subvarieties
M. Tsuji
Fifth International Colloquium on Numerical Analysis, Aug. 1996, Not invited

多項式の擬零点とcompanion行列の擬スペクトル
S. Kado; V. M. Raffee; M. Tsuji
1996年度日本数学会年会函数論分科会一般講演, Mar. 1996, Not invited

∂-数値解析
J. Kajiwara; V. M. Raffee; M. Tsuji
1996年度日本数学会年会函数論分科会一般講演, Mar. 1996, Not invited

無限次元の助変数を伴う線形微分方程式の大域的正則解の存在の局所的特徴付け
J. Kajiwara; K. H. Shon; M. Tsuji
1995年度日本数学会秋季総合分科会函数論分科会一般講演, Sep. 1995, Not invited

Real Zeros of Holomorphic Functions with Parameters IV: Repeated Complex and Real Numerical Integration
J. Kajiwara; L. Li and M. Tsuji
Fourth International Colloquium on Numerical Analysis, Aug. 1995, Not invited

Multi-Peak System Identification with Gauss-Weierstrass Transform
Miki Tsuji
Sixth International Colloquium on Differential Equations, Aug. 1995, Not invited

Continuation of bounded holomorphic functions from one-codimensional subspace to pseudoconvex domains
Miki Tsuji
Sixth International Colloquium on Differential Equations, Aug. 1995, Not invited

大沢問題の反例について
辻美輝
1995年度日本数学会年会函数論分科会一般講演, Mar. 1995, Not invited

Byun-Saitoh の反転公式の数値解析について
J. Kajiwara; M. Tsuji
1995年度日本数学会年会函数論分科会一般講演, Mar. 1995, Not invited

On a problem of Ohsawa
M. Tsuji
Geometric Complex Analysis, Mar. 1995, Not invited

Inverse Formula for Laplace Transform
J. Kajiwara and M. Tsuji
Fifth International Colloquium on Differential Equations, Aug. 1994, Not invited

A Multi-Peek System Identification
Miki Tsuji
Third International Colloquium on Numerical Analysis, Aug. 1994, Not invited

Surfaces associated to real zeros of holomorphic functions with parameters
J. Kajiwara and Miki Tsuji
Third International Colloquium on Numerical Analysis, Aug. 1994, Not invited

正則関数の実零点について
J. Kajiwara; L. Li; M. Tsuji
1993年度日本数学会秋季総合分科会応用数学分科会一般講演, Sep. 1993, Not invited

Oct. 2001 - Present
電子情報通信学会

機械学習理論における特異空間の幾何学的構造とその応用
Apr. 2018 - Mar. 2023

機械学習理論における特異空間の幾何学的構造とその応用
Apr. 2018 - Mar. 2022

Real and complex analytical consideration on singularities in learning theory
2011 - 2015

Real and complex analytical consideration on singularities in learning theory
2011 - 2011

学習理論における特異性とその代数幾何学的性質およびその応用
2004 - 2006

開代数多様体およびそのコンパクト化の幾何学的考察と画像特徴抽出学習について
1998 - 2000

多及び無限変数関数論の手法に基づく数値解析の研究
1997 - 1997

多及び無限変数関数論の手法に基づく数値解析の研究
1995 - 1996