Ishikawa Isao 石川勲

Researcher Number	80804236
Other IDs
Affiliation (Current)	2026: 京都大学, 理学研究科, 特定准教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 愛媛大学, データサイエンスセンター, 准教授 2020: 愛媛大学, データサイエンスセンター, 特定教員(助教) 2018 – 2019: 国立研究開発法人理化学研究所, 革新知能統合研究センター, 特別研究員
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Medium-sized Section 60:Information science, computer engineering, and related fields / Basic Section 11010:Algebra-related Except Principal Investigator Basic Section 12010:Basic analysis-related
Keywords	Principal Investigator 再生核Hilbert空間 / 力学系 / 関数空間 / 合成作用素 / Besov空間 / Koopman作用素 / 深層学習 / 保型形式 / 数論幾何学 / 岩澤理論 … More / 保型表現 / L関数の特殊値 / 捻れ3重積 / p進L関数 / 保形表現 / 捻れ三重積p進L関数 … More Except Principal Investigator 複素解析 / 補間問題 / 正定値性 / 函数解析 Less

正定値性を中心とした函数解析と複素解析の総合的研究
- Principal Investigator
  
  瀬戸道生
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)
Deepening the analysis of deep learning through functional space theoryPrincipal Investigator
- Principal Investigator
  
  石川勲
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Challenging Research (Pioneering)
- Review Section
  
  Medium-sized Section 60:Information science, computer engineering, and related fields
- Research Institution
  Ehime University
Bidirectional study of composition operators and dynamical systemsPrincipal Investigator
- Principal Investigator
  
  石川勲
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Ehime University
Study of Selmer groups of twisted triple products via p-adic geometryPrincipal Investigator
- Principal Investigator
  
  Ishikawa Isao
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Ehime University
  Institute of Physical and Chemical Research

All 2025 2024 2020 2019

All Journal Article Presentation

[Journal Article] Unified Universality Theorem for Deep and Shallow Joint-Group-Equivariant Machines2025
- Author(s)
  S. Sonoda,Y. Hashimoto,I. Ishikawa,M. Ikeda
- Journal Title
  
  Proceedings of the 42nd International Conference on Machine Learning
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K21316
[Journal Article] Koopman Spectrum Nonlinear Regulators and Efficient Online Learning2024
- Author(s)
  Motoya Ohnishi,Isao Ishikawa,Kendall, Lowrey,Masahiro Ikeda,Sham Kakade,Yoshinobu Kawahara
- Journal Title
  
  Transactions on Machine Learning Research
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K21316
[Journal Article] Global universality of the two-layer neural network with the k-rectified linear unit2024
- Author(s)
  Hatano Naoya, Ikeda Masahiro, Ishikawa Isao, Sawano Yoshihiro
- Journal Title
  
  Journal of Function Spaces
  
  Volume: 2024 Pages: 1-6
- DOI
  10.1155/2024/3262798
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03663, KAKENHI-PROJECT-24K21316
[Journal Article] A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks2024
- Author(s)
  Sonoda Sho、Ishikawa Isao、Ikeda Masahiro
- Journal Title
  
  Journal of Statistical Planning and Inference
  
  Volume: 233 Pages: 106184-106184
- DOI
  10.1016/j.jspi.2024.106184
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K03174, KAKENHI-PROJECT-24K21316
[Journal Article] Dynamic structure estimation from Bandit Feedback2024
- Author(s)
  Motoya Ohnishi,Isao Ishikawa,Yuko Kuroki,Masahiro Ikeda
- Journal Title
  
  Transactions on Machine Learning Research
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K21316
[Journal Article] Joint Group Invariant Functions on Data-Parameter Domain Induce Universal Neural Networks2024
- Author(s)
  Sho Sonoda,Hideyuki Ishi,Isao Ishikawa,Masahiro Ikeda
- Journal Title
  
  Proceedings of the 2nd NeurIPS Workshop on Symmetry and Geometry in Neural Representations
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24K21316
[Journal Article] Gamma factors for the Asai representation of GL22020
- Author(s)
  Chen Shih-Yu、Cheng Yao、Ishikawa Isao
- Journal Title
  
  Journal of Number Theory
  
  Volume: 209 Pages: 83-146
- DOI
  10.1016/j.jnt.2019.08.008
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13401
[Journal Article] xplicit calculation of local integrals for twisted triple product L-functions2019
- Author(s)
  石川勲
- Journal Title
  
  Kyoto Journal of Matehmatics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13401
[Presentation] 局所解析汎函数上の押し出し写像のデータ駆動的な有限次元近似2025
- Author(s)
  石川勲
- Organizer
  Koopman Operators Meets Data
- Invited
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] On finite-dimensional approximations of push-forwards on locally analytic functionals2025
- Author(s)
  Isao Ishikawa
- Organizer
  Workshop on Dynamical Systems and Machine Learning
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出し写像の有限次元近似とその応用2025
- Author(s)
  石川勲
- Organizer
  関数空間論に基づく深層学習の理論と応用
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] On finitedimensional approximations of pushforwards on locally analytic functionals2025
- Author(s)
  Isao Ishikawa
- Organizer
  Workshop on Dynamical Systems and Machine Learning
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 局所解析汎函数上の押し出し写像の有限次元近似とその応用2025
- Author(s)
  石川勲
- Organizer
  関数空間論に基づく深層学習の理論と応用
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出し写像のデータ駆動的な有限次元近似2025
- Author(s)
  石川勲
- Organizer
  Koopman Operators Meets Data
- Invited
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 局所解析汎函数上の押し出し写像による力学系のデータ駆動近似について2024
- Author(s)
  石川勲
- Organizer
  数理・情報系研究集会@愛媛大学
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 力学系から定まる局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  RIMS 共同研究（公開型）「力学系の理論と応用」
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 局所解析的汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  データ解析の数理ワークショップ：力学系・トポロジー・機械学習の協奏
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出し写像による力学系のデータ駆動近似について2024
- Author(s)
  石川勲
- Organizer
  数理・情報系研究集会@愛媛大学
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 局所解析汎函数上の押し出し写像による力学系のデータ駆動近似について2024
- Author(s)
  石川勲
- Organizer
  数理・情報研究交流会@沖縄
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 同時群同変モデルの統一的かつ構成的な普遍近似定理2024
- Author(s)
  園田翔,橋本悠香,石川勲,池田正弘
- Organizer
  日本応用数理学会2024年度年会
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] On finite-dimensional approximations for push-forwards of locally analytic functionals and truncations of least-squares polynomials2024
- Author(s)
  Isao Ishikawa
- Organizer
  Second RIKEN AIP - IIT Joint Workshop on Machine Learning and AI
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 解析的な写像から定まる局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  第4回数理解析若手交流会
- Invited
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 同時群同変モデルの表現論的な構成的普遍近似定理2024
- Author(s)
  園田翔,橋本悠香,石川勲,池田正弘
- Organizer
  第27回情報論的学習理論ワークショップ
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] Skolem--Mahler--Lech の定理の紹介～p進解析の入門を添えて～2024
- Author(s)
  石川勲
- Organizer
  オートマトン理論若手の会
- Invited
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] データ解析を見据えたKoopman作用素の包括的な理論研究2024
- Author(s)
  石川勲
- Organizer
  ACTX 数理情報のフロンティア第2回成果報告会
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] On finitedimensional approximations for pushforwards of locally analytic functionals and truncations of leastsquares polynomials2024
- Author(s)
  Isao Ishikawa
- Organizer
  Second RIKEN AIP IIT Joint Workshop on Machine Learning and AI
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 同時群同変モデルの表現論的な構成的普遍近似定理2024
- Author(s)
  園田翔,橋本悠香,石川勲,池田正弘
- Organizer
  第27回情報論的学習理論ワークショップ(IBIS2024)
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces2024
- Author(s)
  Isao Ishikawa; Yuka Hashimoto; Masahiro Ikeda; Yoshinobu Kawahara
- Organizer
  2024 International Workshop on Function Theory, Operator Theory and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 解析的な写像から定まる局所解析汎函数上の押し出しの有限次元近似と力学系のデータ駆動解析への応用について2024
- Author(s)
  石川勲
- Organizer
  京都大学応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 局所解析的汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  データ解析の数理ワークショップ：力学系・トポロジー・機械学習の協奏
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces2024
- Author(s)
  Isao Ishikawa
- Organizer
  2024 International Workshop on Function Theory, Operator Theory and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24K06771
[Presentation] 局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  第112回埼玉大学解析ゼミ
- Invited
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 力学系から定まる局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  RIMS 共同研究（公開型）「力学系の理論と応用」
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  日本応用数理学会2024年度年会
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 解析的な写像から定まる局所解析汎函数上の押し出しの有限次元近似と力学系のデータ駆動解析への応用について2024
- Author(s)
  石川勲
- Organizer
  京都大学応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出し写像による力学系のデータ駆動近似について2024
- Author(s)
  石川勲
- Organizer
  数理・情報研究交流会@沖縄
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] 局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  日本応用数理学会2024年度年会
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  第112回埼玉大学解析ゼミ
- Invited
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  第27回情報論的学習理論ワークショップ
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 解析的な写像から定まる局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  第4回数理解析若手交流会
- Invited
- Data Source
  KAKENHI-PROJECT-24K16950
[Presentation] 局所解析汎函数上の押し出しの有限次元近似について2024
- Author(s)
  石川勲
- Organizer
  第27回情報論的学習理論ワークショップ
- Data Source
  KAKENHI-PROJECT-24K21316
[Presentation] On comparison of Gamma factors of Asai representations of GL22019
- Author(s)
  石川勲
- Organizer
  早稲田数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13401

1. 瀬戸道生 (30398953)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. 池田正弘 (00749690)

# of Collaborated Projects: 1 results

# of Collaborated Products: 8 results
3. 園田翔 (00801218)

# of Collaborated Projects: 1 results

# of Collaborated Products: 5 results
4. 谷口晃一 (60856235)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. SAWANO Yoshihiro

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ishikawa Isao 石川 勲

Research Projects

Research Products

Co-Researchers

正定値性を中心とした函数解析と複素解析の総合的研究

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Deepening the analysis of deep learning through functional space theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Bidirectional study of composition operators and dynamical systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study of Selmer groups of twisted triple products via p-adic geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Unified Universality Theorem for Deep and Shallow Joint-Group-Equivariant Machines2025

Author(s)

Journal Title

Data Source

[Journal Article] Koopman Spectrum Nonlinear Regulators and Efficient Online Learning2024

Author(s)

Journal Title

Data Source

[Journal Article] Global universality of the two-layer neural network with the k-rectified linear unit2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dynamic structure estimation from Bandit Feedback2024

Author(s)

Journal Title

Data Source

[Journal Article] Joint Group Invariant Functions on Data-Parameter Domain Induce Universal Neural Networks2024

Author(s)

Journal Title

Data Source

[Journal Article] Gamma factors for the Asai representation of GL22020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] xplicit calculation of local integrals for twisted triple product L-functions2019

Author(s)

Journal Title

Data Source

[Presentation] 局所解析汎函数上の押し出し写像のデータ駆動的な有限次元近似2025

Author(s)

Organizer

Data Source

[Presentation] On finite-dimensional approximations of push-forwards on locally analytic functionals2025

Author(s)

Organizer

Data Source

[Presentation] 局所解析汎函数上の押し出し写像の有限次元近似とその応用2025

Author(s)

Organizer

Data Source

[Presentation] On finitedimensional approximations of pushforwards on locally analytic functionals2025

Author(s)

Organizer

Data Source

[Presentation] 局所解析汎函数上の押し出し写像の有限次元近似とその応用2025

Ishikawa Isao 石川勲

[Presentation] Skolem--Mahler--Lech の定理の紹介～p進解析の入門を添えて～2024