Isao Ishikawa - My portal - researchmap

Profile Information

Affiliation: Project Specific Associate Professor, Center for Science Adventure and Collaborative Research Advancement (SACRA), Graduate School of Science, Kyoto University

Degree: 理学(Mar, 2017, 京都大学)

Researcher number: 80804236
ORCID iD: https://orcid.org/0000-0002-3100-6187
J-GLOBAL ID: 202001010986176286
researchmap Member ID: R000007545

Research Interests

8

Research Areas

5

Research History

4

Apr, 2025 - Present

Project Specific Associate Professor, Center for Science Adventure and Collaborative Research Advancement (SACRA), Faculty of Science, Kyoto University
Apr, 2022 - Mar, 2025

Associate Professor, Center for Data Science, Ehime University
Apr, 2020 - Mar, 2022

Center for Data Science, Ehime University
Apr, 2017 - Mar, 2020

Postdoctoral Researcher, Center for Advanced Interigence Project, Generic Technology Research Group, Mathematical Science Team, RIKEN

Education

2

Apr, 2012 - Mar, 2017

Department of mathematics, Graduate School of Science, Kyoto University
Apr, 2008 - Mar, 2012

Tokyo Institute of Technology

Awards

1

2019

理化学研究所桜舞賞（研究奨励賞）, 理化学研究所

Major Papers

26

Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems

Isao Ishikawa

Advances in Mathematics, 424 109048, Jul 1, 2023 Peer-reviewedLead author
Boundedness of composition operators on higher order Besov spaces in one dimension

Masahiro Ikeda, Isao Ishikawa, Koichi Taniguchi

Mathematische Annalen, 388(4) 4487-4510, May 24, 2023 Peer-reviewedLead author
Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

Journal of Mathematical Analysis and Applications, 511(1), Jul 1, 2022 Peer-reviewedLead author
Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators

Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda, Masashi Sugiyama

Advances in Neural Information Processing Systems, 33, Jun 20, 2020 Peer-reviewedLead author

More

Misc.

9

Finite-dimensional approximations of push-forwards on locally analytic functionals

Isao Ishikawa

Apr 16, 2024
Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces

Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda, Yoshinobu Kawahara

Mar 4, 2024
Ghosts in Neural Networks: Existence, Structure and Role of Infinite-Dimensional Null Space

Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

Jun 9, 2021
Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures

Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Yoshinobu Kawahara

Jul 29, 2020
Analysis via Orthonormal Systems in Reproducing Kernel Hilbert $C^*$-Modules and Applications

Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Fuyuta Komura, Takeshi Katsura, Yoshinobu Kawahara

Mar 2, 2020
Gradient Descent Converges to Ridgelet Spectrum.

Sho Sonoda, Isao Ishikawa, Masahiro Ikeda

CoRR, abs/2007.03441, 2020
Metric on random dynamical systems with vector-valued reproducing kernel Hilbert spaces

Isao Ishikawa, Akinori Tanaka, Masahiro Ikeda, Yoshinobu Kawahara

Jun 17, 2019
48

GL2上のASAI表現に付随するEPSILON因子について

石川勲

数理解析研究所講究録, 94-108, Jan, 2019
The global optimum of shallow neural network is attained by ridgelet transform

Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

May 19, 2018

Presentations

42

Integrals on p-adic upper half planes and Hida families over totally real fields

Isao Ishikawa

The 7th Young Mathematicians Conference on Zeta Functions, Feb 14, 2014
Integrals on p-adic upper half planes and Hida families over totally real fields

Isao Ishikawa

Mini-Workshop on Iwasawa theory, Apr 4, 2014
Integrals on p-adic upper half planes and Hida families over totally real fields

Isao Ishikawa

The 13 Sendai-Hiroshima Number Theory Conference, Jul 17, 2014
On the construction of twisted triple product p-adic L-functions

Isao Ishikawa

The 10 Young Mathematicians Conference on Zeta Functions, Feb 20, 2017
On the construction of twisted triple product p-adic L-functions

Isao Ishikawa

The 22 Young Mathematicians Conference on Algebra, Mar 2, 2017
On the construction of twisted triple product p-adic L-functions

Isao Ishikawa

Algebra Seminar, Mar 8, 2017
On the construction of twisted triple product p-adic L-functions

Isao Ishikawa

Arithmetic and Modular Form Seminar, Jun 9, 2017
Explicit computations of local period integrals for constructions of twisted triple product $p$-adic $L$-functions

Isao Ishikawa

4 Kyoto conference on automorphic forms, Jun 18, 2017
On the construction of twisted triple product p-adic L-functions

Isao Ishikawa

Algebra Seminar, Oct 30, 2017
On explicit interpolation formulas of twisted triple product p-adic L-functions

Isao Ishikawa

Analytic and Arithmetic Theory of Automorphic Forms, Jan 17, 2018
On explicit interpolation formulas of twisted triple product p-adic L-functions

Isao Ishikawa

Analytic and Arithmetic Theory of Automorphic Forms, Feb 17, 2018
An invariant for the comparison of composition operators for reproducing kernel Hilbert spaces

Isao Ishikawa

Dynamical Systems Interaction of Theory and Application, Jun 5, 2018
An invariant for the comparison of composition operators for reproducing kernel Hilbert spaces

Isao Ishikawa

13 SIAM East Asian Section Conference, Jun 24, 2018
An invariant for the comparison of composition operators for reproducing kernel Hilbert spaces

Isao Ishikawa

Boston University/Keio University workshop 2018 Dynamical systems, Jun 27, 2018
On comparison of Gamma factors of Asai representations of {\mathrm{GL } }_2

Isao Ishikawa

Number Theory Seminar at Waseda University, Jan 11, 2019
Metric on nonlinear dynamical systems with Perron-Frobenius operators

Isao Ishikawa

Symposium on Machine Learning and Dynamical Systems, Feb 11, 2019 Invited
On the boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

Isao Ishikawa

15 Harmonic analysis seminar, Apr 20, 2019
非線形力学系から生成される時系列データの作用素論的側面からの研究

Isao Ishikawa

愛媛大学代数セミナー, Jun 25, 2019
「非線形力学系から生成される時系列データの作用素論的側面からの研究」

石川勲

愛媛大学代数セミナー, Jun 25, 2019 Invited
On the boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

Isao Ishikawa

12 ISAAC Congress, Jul 29, 2019

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Teaching Experience

16

Oct, 2024 - Present

Seminar in Mathematical SciencesB (Ehime University)
Jul, 2024 - Aug, 2024

Introduction to Applied Mathematics and Computation B (Ehime University)
Jun, 2024 - Aug, 2024

Information ProcessingⅡ (Ehime University)
Apr, 2024 - Aug, 2024

Introduction to Mathematics (Ehime University)
Apr, 2024 - Jun, 2024

Introduction to Algebra (Ehime University)
Oct, 2023 - Feb, 2024

Seminar in Mathematical SciencesB (Ehime University)
Oct, 2023 - Feb, 2024

Machine Learning A, B (Ehime University)
Oct, 2023 - Feb, 2024

Advanced Applied Mathematical Sciences (Ehime University)
Jun, 2023 - Aug, 2023

Information ProcessingⅡ (Ehime University)
Apr, 2023 - Jun, 2023

Introduction to Algebra (Ehime University)
Apr, 2023 - Jun, 2023

AlgebraⅢ (Ehime University)
Oct, 2022 - Feb, 2023

Seminar in Mathematical SciencesB (Ehime University)
Jun, 2022 - Aug, 2022

Information ProcessingⅡ (Ehime University)
Apr, 2022 - Aug, 2022

Introduction to Mathematics (Ehime University)
Apr, 2021 - Aug, 2021

Introduction to Mathematics (Ehime University)
Sep, 2020 - Oct, 2020

ニューラルネットワークの理論解析入門 (愛媛大学)

Major Research Projects

9

Theoretical analysis of Koopman operators for data analysis via the theory of function space

Strategic Basic Research Programs ACT-X, Japan Scicence and Technology Agency, Nov, 2020 - Mar, 2024
Operator theoretic data analysis of complicated dynamics and its integrated utilization with mathematical models

2019 - 2024

Yoshinobu Kawahara

More

Industrial Property Rights

2

特願2020-035051 関係性抽出装置及び関係性抽出方法
特願2019-154065 異常検知装置、異常検知方法、及びプログラム

橋本悠香, 石川勲, 池田正弘, 河原吉伸, 松尾洋一

Academic Activities

3

23

Workshop on the Mathematics and Data Analysis: Dynamical systems, Topology, and Machine Learning

Planning, management, etc.

Isao Ishikawa; Masahiro Ikeda; Koichi Taniguchi, Jun 6, 2024 - Jun 7, 2024
49

八戸関数空間論セミナー〜Koopman作用素とその応用〜

Planning, management, etc.

石川勲; 池田正弘; 川澄亮太, Aug 17, 2023 - Aug 18, 2023
Workshop on mathematical theory for Koopman operators

Planning, management, etc.

Isao Ishikawa; Masahiro Ikeda; Koichi Taniguchi, May 24, 2022 - May 24, 2022