Ikeda Masahiro 池田正弘

Researcher Number	00749690
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院情報科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2025: 大阪大学, 大学院情報科学研究科, 准教授 2019 – 2024: 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, 研究員 2017 – 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 2016: 京都大学, 理学研究科, 特別研究員(PD) 2015: 京都大学, 理学(系)研究科(研究院), 研究員
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related / Transformative Research Areas, Section (IV) / Mathematical analysis Except Principal Investigator Transformative Research Areas, Section (IV) / Medium-sized Section 60:Information science, computer engineering, and related fields / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 力学系 / 解の爆発 / 臨界指数 / シュレディンガー方程式 / 適切性 / 安定性 / 大域解 / 関数空間 / ライフスパン / 偏微分方程式 … More / 波動方程式 / ソボレフ空間 / 解の長時間挙動 / 微分方程式 / データ駆動 / クープマン作用素 / 非線形偏微分方程式 / 線形ポテンシャル / 定在波 / 非線形シュレディンガー方程式 / 一意性 / 無限次元 / 解の散乱 / 調和解析 / 基底状態 / 散乱解 / 爆発解 / 機械学習 / スペクトラルグラフ理論 / 関数解析 / 初期値問題 / 尺度臨界空間 / 拡散方程式 / 非線形性 / 大域挙動 / ラプラシアン / 有界性 / ソリトン / 非線形 / エネルギー空間 / 局所解の非存在 / エネルギー超臨界 / クライン・ゴルドン方程式 / 解の最大存在時刻の評価 / 解の有限時間爆発 / 摩擦項 / 熱方程式 / ストラウス指数 / 藤田指数 / 解の存在 … More Except Principal Investigator 流体計測 / 機械学習 / 偏微分方程式 / データ駆動型推論 / 再生核Hilbert空間 / Besov空間 / Koopman作用素 / 力学系 / 深層学習 / 臨界指数 / 消散項 / 半線形 / 有限時間爆発 / 時間大域存在 / ライフスパン評価 / べき型半線形項 / 消散波動方程式 / 藤田指数 / Strauss指数 / スケール不変消散項 / 冪型非線形項 / 非線形波動方程式 / 初期値問題 / 空間１次元 / lifespan / 半線形消散波動方程式 / 半線形波動方程式 / ライフスパン / 古典解 / エネルギー解 / リュービル変換 / スケール不変 / 時間減衰消散項 / 非線消散形波動方程式 / 非線形消散波動方程式 Less

Data-Driven Inference: Mathematical Foundation and Application to High-Dimensional Measurements
- Principal Investigator
  
  武石直也
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Transformative Research Areas (B)
- Review Section
  
  Transformative Research Areas, Section (IV)
- Research Institution
  The University of Tokyo
Development of Global Well-Posedness Theory for Nonlinear Partial Differential Equations and Its Application to Data-Driven ResearchPrincipal Investigator
- Principal Investigator
  
  池田正弘
- Project Period (FY)
  2025 – 2027
- Research Category
  
  Grant-in-Aid for Transformative Research Areas (B)
- Review Section
  
  Transformative Research Areas, Section (IV)
- Research Institution
  The University of Osaka
Deepening the analysis of deep learning through functional space theory
- 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
Stability of standing waves for the nonlinear Schr\"odinger equation with an external potentialPrincipal Investigator
- Principal Investigator
  
  池田正弘
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Institute of Physical and Chemical Research
Well-posedness and global dynamics of solutions to nonlinear partial differential equationsPrincipal Investigator
- Principal Investigator
  
  Ikeda Masahiro
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Institute of Physical and Chemical Research
Breakthrough on the wave-like property of solutions of nonlinear damped wave equations
- Principal Investigator
  
  Hiroyuki Takamura
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Tohoku University
Study on critical nonlinear dispersive wave equationsPrincipal Investigator
- Principal Investigator
  
  Ikeda Masahiro
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  Institute of Physical and Chemical Research
  Kyoto University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation Patent

[Journal Article] Unconditional uniqueness and non-uniqueness for Hardy-Henon parabolic equations2024
- Author(s)
  Chikami Noboru、Ikeda Masahiro、Taniguchi Koichi、Tayachi Slim
- Journal Title
  
  Mathematische Annalen
  
  Volume: - Issue: 3 Pages: 3765-3825
- DOI
  10.1007/s00208-024-02828-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Global dynamics below a threshold for the nonlinear Schrodinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph2024
- Author(s)
  Hamano Masaru、Ikeda Masahiro、Inui Takahisa、Shimizu Ikkei
- Journal Title
  
  Partial Differential Equations and Applications
  
  Volume: 5 Issue: 1
- DOI
  10.1007/s42985-024-00274-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22KJ2907, KAKENHI-PROJECT-23K03174, KAKENHI-PROJECT-18K13444
[Journal Article] Blow-up solutions for non-scale-invariant Nonlinear Schrodinger equation in one dimension2024
- Author(s)
  Hamano Masaru, Ikeda Masahiro, Machihara Shuji
- Journal Title
  
  Differential Equations & Applications
  
  Volume: 16 Issue: 1 Pages: 71-83
- DOI
  10.7153/dea-2024-16-04
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator2024
- Author(s)
  Hashimoto Yuka, Ikeda Masahiro, Hachem Kadri
- Journal Title
  
  Proc. of NeurIPS 2023
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces2024
- Author(s)
  Ikeda Masahiro、Taniguchi Koichi、Wakasugi Yuta
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 0 Issue: 4 Pages: 0-0
- DOI
  10.3934/eect.2024018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Blow-up Solutions to Nonlinear Schrodinger Equation with a Potential2024
- Author(s)
  Hamano Masaru、Ikeda Masahiro
- Journal Title
  
  Schrodinger Equation - Fundamentals Aspects and Potential Applications.
  
  Volume: -
- DOI
  10.5772/intechopen.113907
- ISBN
  9781837692132, 9781837692149
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] C*-Algebraic Machine Learning: Moving in a New Direction2024
- Author(s)
  Hashimoto Yuka, Ikeda Masahiro, Hachem Kadri
- Journal Title
  
  Proceedings of The 41th International Conference on Machine Learning (ICML)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Blow-up and lifespan estimates for solutions to the weakly coupled system of nonlinear damped wave equations outside a ball2023
- Author(s)
  Dao Tuan Anh、Ikeda Masahiro
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 23 Issue: 1
- DOI
  10.1007/s00028-023-00875-1
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Scattering solutions to nonlinear Schrodinger equation with a long range potential2023
- Author(s)
  Hamano Masaru、Ikeda Masahiro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 528 Issue: 1 Pages: 127468-127468
- DOI
  10.1016/j.jmaa.2023.127468
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22KJ2907, KAKENHI-PROJECT-23K03174
[Journal Article] Global universality of the two-layer neural networks with the k-rectified linear unit2023
- Author(s)
  Hatano Naoya, Ikeda Masahiro, Isao Ishikawa, Sawano Yoshihiro
- Journal Title
  
  Journal of Function Spaces
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Stability and instability of radial standing waves to NLKG equation with an inverse-square potential2023
- Author(s)
  Hamano Masaru、Ikeda Masahiro
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 30 Issue: 3
- DOI
  10.1007/s00030-023-00844-0
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22KJ2907, KAKENHI-PROJECT-19K14581
[Journal Article] Hilbert C*-module for analyzing structured data2023
- Author(s)
  Hashimoto Yuka, Komura Fuyuta, Ikeda Masahiro
- Journal Title
  
  Matrix and Operator Equations and Applications
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Boundedness of composition operators on higher order Besov spaces in one dimension2023
- Author(s)
  Ikeda Masahiro、Ishikawa Isao、Taniguchi Koichi
- Journal Title
  
  Mathematische Annalen
  
  Volume: 388 Issue: 4 Pages: 4487-4510
- DOI
  10.1007/s00208-023-02637-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Deep ridgelet transform: Voice with Koopman operator constructively proves universality of formal deep networks2023
- Author(s)
  Sonoda Sho, Hashimoto Yuka, Ishikawa Isao, Ikeda Masahiro
- Journal Title
  
  NeurIPS 2023 Workshop: Symmetry and Geometry in Neural Representations (NeurReps)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Generalized Eigenvalues of the Perron-Frobenius Operators of Symbolic Dynamical Systems2023
- Author(s)
  Chiba Hayato、Ikeda Masahiro、Ishikawa Isao
- Journal Title
  
  SIAM Journal on Applied Dynamical Systems
  
  Volume: 22 Issue: 4 Pages: 2825-2855
- DOI
  10.1137/22m1476204
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Joint group invariant functions on data-parameter domain induce universal neural networks2023
- Author(s)
  Sonoda Sho, Ishi Hideyuki, Ishikawa Isao, Ikeda Masahiro
- Journal Title
  
  NeurIPS 2023 Workshop: Symmetry and Geometry in Neural Representations (NeurReps)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Universal Approximation Property of Invertible Neural Networks2023
- Author(s)
  Ishikawa Isao, Teshima Takeshi, Tojo Koichi, Oono Kenta, Ikeda Masahiro, Sugiyama Masashi
- Journal Title
  
  Journal of Machine Learning Research
  
  Volume: 24 Pages: 1-68
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03174
[Journal Article] Nonlinear evolution equation associated with hypergraph Laplacian2023
- Author(s)
  Ikeda Masahiro、Uchida Shun
- Journal Title
  
  Mathematical Methods in the Applied Sciences
  
  Volume: - Issue: 8 Pages: 9463-9476
- DOI
  10.1002/mma.9068
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18KK0073
[Journal Article] Universality of neural networks with a sigmoidal activation or discriminatory function on Banach lattices over the real line2022
- Author(s)
  Hatano Naoya、Ikeda Masahiro、Ishikawa Isao、Sawano Yoshihiro
- Journal Title
  
  Journal of Mathematical Science
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis2022
- Author(s)
  Sonoda Sho, Ishikawa Isao, Ikeda Masahiro
- Journal Title
  
  Proceedings of The 39th International Conference on Machine Learning (ICML)
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] On stability and instability of standing waves for 2d-nonlinear Schr\"odinger equations with point interaction2022
- Author(s)
  Fukaya Noriyoshi、Georgiev Vladimir、Ikeda Masahiro
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 321 Pages: 258-295
- DOI
  10.1016/j.jde.2022.03.008
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14349
[Journal Article] Finding Cheeger cuts in hypergraphs via heat equation2022
- Author(s)
  Ikeda Masahiro、Miyauchi Atsushi、Takai Yuuki、Yoshida Yuichi
- Journal Title
  
  Theoretical Computer Science
  
  Volume: 930 Pages: 1-23
- DOI
  10.1016/j.tcs.2022.07.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K11763, KAKENHI-PROJECT-19K14581
[Journal Article] Large time behavior of solutions to the Cauchy problem for the BBM?Burgers equation2022
- Author(s)
  Fukuda Ikki、Ikeda Masahiro
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 336 Pages: 275-314
- DOI
  10.1016/j.jde.2022.07.020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K22303
[Journal Article] Koopman and Perron?Frobenius operators on reproducing kernel Banach spaces2022
- Author(s)
  Ikeda Masahiro、Ishikawa Isao、Schlosser Corbinian
- Journal Title
  
  Chaos: An Interdisciplinary Journal of Nonlinear Science
  
  Volume: 32 Issue: 12 Pages: 123143-123143
- DOI
  10.1063/5.0094889
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Local Well-Posedness for the Scale-Critical Semilinear Heat Equation with a Weighted Gradient Term2022
- Author(s)
  Chikami Noboru、Ikeda Masahiro、Taniguchi Koichi
- Journal Title
  
  Advances in Harmonic Analysis and Partial Differential Equations
  
  Volume: - Pages: 63-75
- DOI
  10.1007/978-3-031-24311-0_4
- ISBN
  9783031243103, 9783031243110
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Universality of group convolutional neural networks based on ridgelet analysis on groups2022
- Author(s)
  Sonoda Sho, Ishikawa Isao, Ikeda Masahiro
- Journal Title
  
  Proc. of NeurIPS
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Equivalence of conditions on initial data below the ground state to NLS with a repulsive inverse power potential2022
- Author(s)
  Hamano Masaru、Ikeda Masahiro
- Journal Title
  
  Journal of Mathematical Physics
  
  Volume: 63 Issue: 3 Pages: 031509-031509
- DOI
  10.1063/5.0082891
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Heaviside function as an activation function2022
- Author(s)
  Hatano Naoya、Ikeda Masahiro、Ishikawa Isao、Sawano Yoshihiro
- Journal Title
  
  Journal of applied analysis
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Optimal well-posedness and forward self-similar solution for the Hardy-H'enon parabolic equation in a critical weighted Lebesgue space2022
- Author(s)
  Chikami Noboru、Ikeda Masahiro、Taniguchi Koichi
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions2022
- Author(s)
  Ikeda Masahiro、Ishikawa Isao、Sawano Yoshihiro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 511 Issue: 1 Pages: 126048-126048
- DOI
  10.1016/j.jmaa.2022.126048
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03546, KAKENHI-PROJECT-19K14581
[Journal Article] Boundedness of composition operators on Morrey spaces and weak Morrey spaces2021
- Author(s)
  Naoya Hatano, Masahiro Ikeda, Isao Ishikawa and Yoshihiro Sawano
- Journal Title
  
  Journal of Inequalities and Applications
  
  Volume: 未定 Issue: 1
- DOI
  10.1186/s13660-021-02599-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-21J12129
[Journal Article] Life-span of blowup solutions to semilinear wave equation with space-dependent critical damping2021
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Journal Title
  
  Funkcial. Ekvac.
  
  Volume: 64 Pages: 137-162
- NAID
  130008083382
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Reproducing kernel Hilbert C*-modules and kernel mean embeddings2021
- Author(s)
  Hashimoto Yuka、Ishikawa Isao、Ikeda Masahiro、 Komura Fuyuta、Katsura Takeshi、Kawahara Yoshinobu
- Journal Title
  
  Journal of Machine Learning Research
  
  Volume: 22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Global dynamics below the ground state for the focusing semilinear Schr?dinger equation with a linear potential2021
- Author(s)
  Ikeda Masahiro
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 503 Issue: 1 Pages: 125291-125291
- DOI
  10.1016/j.jmaa.2021.125291
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping2021
- Author(s)
  Fujiwara Kazumasa、Ikeda Masahiro、Wakasugi Yuta
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 28 Issue: 6
- DOI
  10.1007/s00030-021-00723-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14337
[Journal Article] Small data blow-up for the weakly coupled system of the generalized Tricomi equation with multiple propagation speed2021
- Author(s)
  Masahiro Ikeda, Jiayun Lin and Ziheng Tu
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Well-posedness and global dynamics for the critical Hardy-Sobolev parabolic equation2021
- Author(s)
  Chikami Noboru、Ikeda Masahiro、Taniguchi Koichi
- Journal Title
  
  Nonlinearity
  
  Volume: 34 Issue: 11 Pages: 8094-8142
- DOI
  10.1088/1361-6544/ac2c90
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] ハイパーグラフ上の熱とそのネットワーク解析への応用2021
- Author(s)
  池田正弘
- Journal Title
  
  日本応用数理学論文誌
  
  Volume: 31-2
- NAID
  130008094866
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Well-posedness for the fourth-order Schr\"odinger equation with third order derivative nonlinearities2021
- Author(s)
  Hirayama Hiroyuki、Ikeda Masahiro、Tanaka Tomoyuki
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 28 Issue: 5
- DOI
  10.1007/s00030-021-00707-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-17K14220, KAKENHI-PROJECT-19K14581
[Journal Article] A Global Universality of Two-Layer Neural Networks with ReLU Activations2021
- Author(s)
  Hatano Naoya、Ikeda Masahiro、Ishikawa Isao、Sawano Yoshihiro
- Journal Title
  
  Journal of Function Spaces
  
  Volume: 2021 Pages: 1-3
- DOI
  10.1155/2021/6637220
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21J12129, KAKENHI-PROJECT-19K14581
[Journal Article] Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution2021
- Author(s)
  Masahiro Ikeda, Tomoyuki Tanaka and Kyohei Wakasa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 270 Pages: 916-946
- DOI
  10.1016/j.jde.2020.08.047
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-19H01795
[Journal Article] Ridge Regression with Over-parametrized Two-Layer Networks Converge to Ridgelet Spectrum2021
- Author(s)
  Sho Sonoda, Isao Ishikawa and Masahiro Ikeda
- Journal Title
  
  Proceedings of The 24th International Conference on Artificial Intelligence and Statistics
  
  Volume: 130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Small data blow-up of semi-linear wave equation with scattering dissipation and time-dependent mass2020
- Author(s)
  Masahiro Ikeda, Ziheng Tu and Kyohei Wakasa
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 未定 Issue: 2 Pages: 515-515
- DOI
  10.3934/eect.2021011
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-22H00097
[Journal Article] Blow-up of solutions to semilinear wave equations with a scaling invariant critical damping2020
- Author(s)
  Masahiro Ikeda
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 85 Pages: 163-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Characterization of the ground state to the inter critical NLS with a linear potential by the viral functional2020
- Author(s)
  Masaru Hamano, Masahiro Ikeda
- Journal Title
  
  Advances in Harmonic Analysis and Partial Differential Equations
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Scattering for the one-dimensional Klein-Gordon equation with exponential nonlinearity2020
- Author(s)
  Masahiro Ikeda, Takahisa Inui, Mamoru Okamoto
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Coupling-based invertible neural networks are universal diffeomorphism approximator2020
- Author(s)
  Takeshi Teshima, Isao Ishikawa, Koichi Tojo, Kenta Oono, Masahiro Ikeda and Masashi Sugiyama
- Journal Title
  
  Advances in Neural Information Processing Systems
  
  Volume: 33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data2020
- Author(s)
  Masahiro Ikeda, Tomoyuki Tanaka and Kyohei Wakasa
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 200 Pages: 112057-112057
- DOI
  10.1016/j.na.2020.112057
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-20K14351, KAKENHI-PROJECT-20J12750, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-19H01795
[Journal Article] Krylov subspace method for nonlinear dynamical systems with random noises2020
- Author(s)
  Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda, Yoichi Matsuo and Yoshinobu Kawahara
- Journal Title
  
  Journal of Machine Learning Research
  
  Volume: 172
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Universal approximation property of neural ordinary differential equations2020
- Author(s)
  Takeshi Teshima, Koichi Tojo, Masahiro Ikeda, Isao Ishikawa and Kenta Oono
- Journal Title
  
  NeurIPS 2020 Workshop: Differential Geometry meets Deep Learning
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Hypergraph Clustering Based on PageRank2020
- Author(s)
  Yuuki Takai, Atsushi Miyauchi, Masahiro Ikeda and Yuichi Yoshida
- Journal Title
  
  26nd ACM SIGKDD Conference on Knowledge Discovery and Data mining (KDD)
  
  Volume: 26
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions2020
- Author(s)
  Masahiro Ikeda, Mohamed Jleli, Bessem Samet
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 269 Issue: 1 Pages: 583-594
- DOI
  10.1016/j.jde.2019.12.015
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581
[Journal Article] Global well-posedness below the ground state for the nonlinear Schr\"odinger equation with a linear potential2020
- Author(s)
  Masaru Hamano and Masahiro Ikeda
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 148 Issue: 12 Pages: 5193-5207
- DOI
  10.1090/proc/15161
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-19J13300
[Journal Article] L^p-L^q estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2019
- Author(s)
  Ikeda Masahiro, Inui Takahisa, Okamoto Mamoru, Wakasugi Yuta
- Journal Title
  
  Communications on Pure & Applied Analysis
  
  Volume: 18 Issue: 4 Pages: 1967-2008
- DOI
  10.3934/cpaa.2019090
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K17624, KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-18K13444
[Journal Article] Global well-posedness for the semilinear wave equation with time dependent damping in the overdamping case2019
- Author(s)
  Ikeda Masahiro、Wakasugi Yuta
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 148 Issue: 1 Pages: 157-172
- DOI
  10.1090/proc/14297
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Journal Article] Estimates of lifespan and blow-up rates for the wave equation with a time-dependent damping and a power-type nonlinearity2019
- Author(s)
  Kazumasa Fujiwara, Masahiro Ikeda, Yuta Wakasugi
- Journal Title
  
  Funkcial. Ekvac.
  
  Volume: 62(2) Pages: 157-189
- NAID
  130007695611
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Global dynamics below the ground state for the focusing Schr\"odinger equation with a potential2019
- Author(s)
  Masaru Hamano, Masahiro Ikeda
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: - Issue: 3 Pages: 1131-1172
- DOI
  10.1007/s00028-019-00547-z
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-19J13300
[Journal Article] The sharp estimate of the lifespan for semilinear wave equation with time-dependent damping2019
- Author(s)
  M.Ikeda and T.Inui
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 32 Pages: 1-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain2019
- Author(s)
  M.Ikeda and M.Sobajima
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 470 Pages: 318-326
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132
[Journal Article] Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method2019
- Author(s)
  M.Ikeda and M.Sobajima
- Journal Title
  
  Nonlinear Analysis, TMA
  
  Volume: 182 Pages: 57-74
- DOI
  10.1016/j.na.2018.12.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18H01132, KAKENHI-PROJECT-16K17619
[Journal Article] Blow-up phenomena of semilinear wave equations and their weakly coupled systems2019
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima, Kyohei Wakasa
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 267 Issue: 9 Pages: 5165-5201
- DOI
  10.1016/j.jde.2019.05.029
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Journal Article] Sharp lifespan estimates of blowup solutions to semi-linear wave equations with time-dependent effective damping2019
- Author(s)
  Ikeda Masahiro、Sobajima Motohiro、Wakasugi Yuta
- Journal Title
  
  Journal of Hyperbolic Differential Equations
  
  Volume: 16 Issue: 03 Pages: 495-517
- DOI
  10.1142/s0219891619500176
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17625, KAKENHI-PROJECT-18K13445, KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18H01132
[Journal Article] The sharp estimate of the lifespan for semi linear wave equation with time-dependent damping2018
- Author(s)
  Masahiro Ikeda, Takahisa Inui
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17571
[Journal Article] Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data2018
- Author(s)
  Masahiro Ikeda, Motohiro Sobajima
- Journal Title
  
  Mathematische Annalen
  
  Volume: 未定 Issue: 3-4 Pages: 1017-1040
- DOI
  10.1007/s00208-018-1664-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17571, KAKENHI-PROJECT-16K17619
[Journal Article] Asymptotics for the Schr\"dinger equation with a repulsive delta potential and a long-range dissipative nonlinearity2017
- Author(s)
  Masahiro Ikeda
- Journal Title
  
  Proceedings of the conference "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations"
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17571
[Journal Article] Blow-up of solutions for weakly coupled system of complex Ginzburg-Landau equations2017
- Author(s)
  Kazumasa. Fujiwara, Masahiro Ikeda, Yuta Wakasugi
- Journal Title
  
  Electronic Journal of Differential Equations
  
  Volume: 196 Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17571
[Journal Article] Global Dynamics below the standing waves for the focusing semi-linear Schrodinger equation with a repulsive Dirac delta potential2017
- Author(s)
  Masahiro Ikeda, Takahisa Inui,
- Journal Title
  
  Analysis and PDE
  
  Volume: 10 Issue: 2 Pages: 481-512
- DOI
  10.2140/apde.2017.10.481
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15J02570, KAKENHI-PROJECT-14J01884, KAKENHI-PROJECT-15K17571
[Journal Article] The Cauchy problem for the nonlinear damped wave equation with slowly decaying data2017
- Author(s)
  Masahiro Ikeda, Takahisa Inui, Yuta Wakasugi
- Journal Title
  
  Nonlinear Differential Equations and Applications NoDEA
  
  Volume: 24 Issue: 2
- DOI
  10.1007/s00030-017-0434-1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15J02570, KAKENHI-PROJECT-14J01884, KAKENHI-PROJECT-15K17571, KAKENHI-PROJECT-16K17625
[Journal Article] Lifespan of solutions to the damped wave equation with a critical nonlinearity2016
- Author(s)
  Masahiro Ikeda Ogawa Takayoshi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Journal Article] A remark on non-existence results for the semi-linear damped Klein-Gordon equations2016
- Author(s)
  Masahiro Ikeda Takahisa Inui
- Journal Title
  
  RIMS Kokuroku Bessatsu.
  
  Volume: 未定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Patent] 関係性抽出装置及び関係性抽出方法2020
- Inventor(s)
  橋本悠香,石川勲,池田正弘,河原吉伸,勝良健史,紅村冬大
- Industrial Property Rights Holder
  橋本悠香,石川勲,池田正弘,河原吉伸,勝良健史,紅村冬大
- Industrial Property Rights Type
  特許
- Filing Date
  2020
- Data Source
  KAKENHI-PROJECT-19K14581
[Patent] 異常検知装置、異常検知方法、及びプログラム2019
- Inventor(s)
  橋本悠香, 石川勲, 池田正弘, 河原吉伸, 松尾洋一
- Industrial Property Rights Holder
  橋本悠香, 石川勲, 池田正弘, 河原吉伸, 松尾洋一
- Industrial Property Rights Type
  特許
- Filing Date
  2019
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Hardy-H\enon型半線型熱方程式の解の無条件一意性と非一意性2023
- Author(s)
  千頭昇, 池田正弘, 谷口晃一, Slim Tayachi
- Organizer
  日本数学会・2023年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] An approximation of evolution equation with clique expansion of hypergraph Laplacian2023
- Author(s)
  池田正弘, 内田俊, 深尾武史
- Organizer
  日本数学会・2023年度年会
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] 2次元外部領域における臨界型半線型消散型波動方程式について2023
- Author(s)
  池田正弘, 側島基宏, 谷口晃一, 若杉勇太
- Organizer
  2023年度日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Heat on hypergraph and its application to network analysis2023
- Author(s)
  Ikeda Masahiro
- Organizer
  ICIAM 2023 Tokyo
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] ニューラルネットのパラメータに作用する双対群と普遍性定理の表現論的証明2023
- Author(s)
  園田翔, 伊師英之, 石川勲, 池田正弘
- Organizer
  第26回情報論的学習理論ワークショップ(IBIS2023)
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Boundedness of composition operators on Orlicz-Morrey spaces2023
- Author(s)
  池田正弘, 石川勲, 川澄亮太
- Organizer
  2023年度日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Scattering and blow-up solutions to energy critical NLS with an inverse square potential2023
- Author(s)
  浜野大, 池田正弘
- Organizer
  2023年度日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Koopman作用素表現を用いた深層ニューラルネットのリッジレット変換2023
- Author(s)
  園田翔, 橋本悠香, 石川勲, 池田正弘
- Organizer
  第26回情報論的学習理論ワークショップ(IBIS2023)
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Deep ridgelet transform: Voice with Koopman operator constructively proves universality of formal deep networks2023
- Author(s)
  Sonoda Sho, Hashimoto Yuka, Ishikawa Isao, Ikeda Masahiro
- Organizer
  NeurIPS 2023 Workshop: Symmetry and Geometry in Neural Representations (NeurReps)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Besov空間上の合成作用素の有界性2023
- Author(s)
  池田正弘, 石川勲, 谷口晃一
- Organizer
  日本数学会・2023年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Global dynamics below a threshold for the nonlinear Schr\"odinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph2023
- Author(s)
  池田正弘, 戍亥隆恭, 浜野大, 清水一慶
- Organizer
  日本数学会・2023年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 微分型の非線形項を持つ非線形シュレディンガー方程式系の基底状態の存在と安定性について2023
- Author(s)
  平山浩之, 池田正弘
- Organizer
  日本数学会・2023年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] L^p-L^q estimate for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2023
- Author(s)
  Ikeda Masahiro
- Organizer
  Seminar at Hanoi University of Science and Technology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Joint group invariant functions on data-parameter domain induce universal neural networks2023
- Author(s)
  Sonoda Sho, Ishi Hideyuki, Ishikawa Isao, Ikeda Masahiro
- Organizer
  NeurIPS 2023 Workshop: Symmetry and Geometry in Neural Representations (NeurReps)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator2023
- Author(s)
  Hashimoto Yuka, Ikeda Masahiro, Hachem Kadri
- Organizer
  Thirty-seventh Conference on Neural Information Processing Systems (NeurIPS2023)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] A characterization of boundedness of composition operators on Orlicz-Morrey spaces2023
- Author(s)
  池田正弘, 川澄亮太, 石川勲
- Organizer
  日本数学会・2023年度年会
- Data Source
  KAKENHI-PROJECT-23K03174
[Presentation] On stability and instability of standing waves for 2d-nonlinear Schr\"odinger equations with point interaction2022
- Author(s)
  Masahiro Ikeda
- Organizer
  Trials in Wave Turbulance: from random waves to kinetic equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] BBM--Burgersの初期値問題の解の漸近挙動2022
- Author(s)
  福田一貴, 池田正弘
- Organizer
  日本数学会・2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Heat on the hypergraph containing vertices with given data2022
- Author(s)
  深尾武史, 池田正弘, 内田俊
- Organizer
  日本数学会・2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] On stability and instability of standing waves for 2d-nonlinear Schr\"odinger equations with point interaction2022
- Author(s)
  Masahiro Ikeda
- Organizer
  Mathematical Analysis of Nonlinear Dispersive and Wave Equations -In honor of Professor Tohru Ozawa's 60th birthday
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 逆冪乗型ポテンシャルをもつ非線形シュレディンガー方程式の爆発解について2022
- Author(s)
  浜野大, 池田正弘
- Organizer
  日本数学会・2022年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 群畳み込みニューラルネットに対するリッジレット変換2022
- Author(s)
  園田翔, 石川勲, 池田正弘
- Organizer
  第25回情報論的学習理論, ワークショップ(IBIS2022)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Global dynamics of Mass-Energy threshold for NLS with an inverse-power potential2022
- Author(s)
  Alex Hernandez Ardila, 浜野大, 池田正弘
- Organizer
  日本数学会・2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Lp -Lq estimate for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data2022
- Author(s)
  Masahiro Ikeda
- Organizer
  Workshop on Evolution Equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 点相互作用を持つ2次元非線形シュレディンガー方程式の定在波解の安定性と不安定2022
- Author(s)
  深谷法良, Vladimir. Georgiev, 池田正弘
- Organizer
  日本数学会・2022年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Mass-energy threshold dynamics for the focusing NLS with inverse-power potential2022
- Author(s)
  Masahiro Ikeda
- Organizer
  seminario di Analisi Matematica Sapienza Universit\'e di Rome
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] On global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces2022
- Author(s)
  池田正弘, 谷口晃一, 若杉勇太
- Organizer
  日本数学会・2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Heat on hypergrapn and its application to network analysis2022
- Author(s)
  Masahiro Ikeda
- Organizer
  SIAM Conference on Analysis of Partial Differential Equations (PD22)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] ランダムウォークを用いたハイパーグラフにおけるローカルコミュニティと弱い紐帯の抽出2021
- Author(s)
  岡亮, 高井勇輝, 松本直己, 池田正弘, 金子晋丈
- Organizer
  電子情報通信学会(IN)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 非線形シュレディンガー方程式の定常問題と時間大域挙動2021
- Author(s)
  池田正弘
- Organizer
  愛媛解析セミナー
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 可逆ニューラルネットのSobolev空間における普遍性について2021
- Author(s)
  手嶋毅志, 石川勲, 東條広一, 大野健太, 池田正弘, 杉山将
- Organizer
  第24回情報論的学習理論, ワークショップ(IBIS2021)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 長距離型ポテンシャルをもつ非線形シュレディンガー方程式の散乱解について2021
- Author(s)
  浜野大, 池田正弘
- Organizer
  日本数学会・2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 群畳み込みニューラルネットに対するリッジレット変換2021
- Author(s)
  園田翔, 石川勲, 池田正弘
- Organizer
  第24回情報論的学習理論, ワークショップ(IBIS2021)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] RKHMの関数データへの応用2021
- Author(s)
  橋本悠香, 石川勲, 池田正弘, 紅村冬大, 勝良健史, 河原吉伸
- Organizer
  第24回情報論的学習理論, ワークショップ(IBIS2021)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Optimal well-posedness of Hardy-H'enon parabolic equation2021
- Author(s)
  千頭昇, 池田正弘, 谷口晃一
- Organizer
  日本数学会・2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Gradient descent converges to ridgelet spectrum2021
- Author(s)
  Sho Sonoda, Isao Ishikawa and Masahiro Ikeda
- Organizer
  The 24th International Conference on Artificial Intelligence and Statistics(AISTATS)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 逆2乗ポテンシャルを持つ非線形クライン・ゴルドン方程式の定在波解の不安定性2021
- Author(s)
  浜野大, 池田正弘
- Organizer
  日本数学会・2021年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] ハイパーグラフ上の熱とそのネットワーク解析への応用2021
- Author(s)
  池田正弘
- Organizer
  微分方程式とデータサイエンス研究会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] A global universality of two-layer neural networks with ReLU activations2021
- Author(s)
  波多野修也, 池田正弘, 石川勲, 澤野嘉宏
- Organizer
  日本数学会・2021年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Nonlinear evolution equation associated with Hypergraph Laplacian2021
- Author(s)
  池田正弘, 内田俊
- Organizer
  日本数学会・2021年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 逆冪乗型ポテンシャルを持つ非線形シュレディンガー方程式の初期値の条件の同値性について2020
- Author(s)
  浜野大, 池田正弘
- Organizer
  日本数学会・2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 非線形力学系から生成される時系列データ間の作用素論的側面からの研究2020
- Author(s)
  池田正弘
- Organizer
  第74回京都大学応用数学セミナー(KUAMS)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] カップリングに基づく可逆神経回路網は微分同相写像の万能近似機である2020
- Author(s)
  手嶋毅志, 石川勲, 東條広一, 大野健太, 池田正弘, 杉山将
- Organizer
  第23回情報論的学習理論ワークショップ(IBIS2020)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] モレー空間における合成作用素の有界性について2020
- Author(s)
  波多野修也, 池田正弘, 石川勲, 澤野嘉宏
- Organizer
  日本数学会・2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 解析的な正定値関数に付随する再生核Hilbert空間上の合成作用素の有界性について2020
- Author(s)
  池田正弘, 石川勲, 澤野嘉宏
- Organizer
  日本数学会・2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Hardy-H\'enon型半線型熱方程式の解の挙動2020
- Author(s)
  千頭昇, 池田正弘, 谷口晃一
- Organizer
  日本数学会・2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] 積分幾何学に基づくニューラルネットの新しい再生公式2020
- Author(s)
  園田翔, 石川勲, 池田正弘
- Organizer
  第23回情報論的学習理論, ワークショップ(IBIS2020)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] オーバーパラメトライズされた有限ニューラルネットの最適解2020
- Author(s)
  園田翔, 石川勲, 池田正弘
- Organizer
  第23回情報論的学習理論, ワークショップ(IBIS2020)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Well-posedness of the fourth-order Schr\"odinger equation with derivative nonlinearities2020
- Author(s)
  平山浩之, 池田正弘, 田中智之
- Organizer
  日本数学会・2020年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Hypergraph Clustering via PageRank2020
- Author(s)
  高井勇輝, 宮内敦史, 池田正弘, 吉田悠一
- Organizer
  第23回情報論的学習理論, ワークショップ(IBIS2020)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Reproducing kernel Hilbert C*-moduleによる多変量データの解析2020
- Author(s)
  橋本悠香, 石川勲, 池田正弘, 紅村冬大, 勝良健史, 河原吉伸
- Organizer
  第23回情報論的学習理論ワークショップ(IBIS2020)
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Exact Recovery of latent convex tensor decomposition under Reshuffling2019
- Author(s)
  Masahiro Ikeda, Isao Ishikawa, Chao Li, Xiao-Yang Liu, Qibin Zhao and Ning Zheng
- Organizer
  Workshop on low-rank models and application
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Finding Cheeger Cuts in Hypergraphs via Heat equation2019
- Author(s)
  Masahiro Ikeda
- Organizer
  The 14th SIAM East Asian Section Conference
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Global well-posedness for the wave equation with a time-dependent scale invariant damping and a cubic convolution2019
- Author(s)
  池田正弘, 田中智之, 若狭恭平
- Organizer
  日本数学会・2020年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Blow-up phenomena of semilinear wave equations and their weakly coupled system2019
- Author(s)
  Masahiro Ikeda
- Organizer
  12th ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] On blowup solutions of semi linear wave equation and their weakly coupled system2019
- Author(s)
  池田正弘, 側島基宏, 若狭恭平
- Organizer
  日本数学会・2019年度年会, 東京工業大学
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Blow-up phenomena of semilinear wave equations and their weakly coupled system2019
- Author(s)
  Masahiro Ikeda
- Organizer
  Fall Southeastern Sectional Meeting
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Well-posedness of the fourth-order Schr\"odinger equation with derivative nonlinearities2019
- Author(s)
  Masahiro Ikeda
- Organizer
  Colloquium at National Cheng Kung University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Blow-up phenomena of semilinear wave equations and their weakly coupled system2019
- Author(s)
  Masahiro Ikeda
- Organizer
  Fall Southeastern Sectional Meeting
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Finding Cheeger Cuts in Hypergraphs via Heat equation2019
- Author(s)
  Masahiro Ikeda
- Organizer
  Taiwan Machine Learning Workshop in June
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Test function method for blow-up phenomena of semilinear wave equations and their weakly coupled system2019
- Author(s)
  Masahiro Ikeda
- Organizer
  2019 Workshop on Geometry and Nonlinear Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Dissipation and blow-up for semilinear heat equations in general energy spaces2019
- Author(s)
  池田正弘, 谷口晃一
- Organizer
  日本数学会・2019年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] ランダム力学系の距離について2019
- Author(s)
  石川勲, 田中章詞, 池田正弘, 河原吉伸
- Organizer
  第22回情報論的学習理論
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Global well-posedness for the wave equation with a time-dependent scale invariant damping and a cubic convolution2019
- Author(s)
  池田正弘, 田中智之, 若狭恭平
- Organizer
  日本数学会・2020年度年会
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] ReLu深層ニューラルネットワークの一般化されたBesov空間での関数近似能力について2019
- Author(s)
  谷口晃一, 池田正弘, 園田翔, 大野健太, 鈴木大慈
- Organizer
  第22回情報論的学習理論
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Finding Cheeger Cuts in Hypergraphs via Heat Equation2019
- Author(s)
  Masahiro Ikeda
- Organizer
  Joint Workshop of BBDC, BZML and RIKEN AIP
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Low-regularity well-posedness of fourth order Schr\"dinger equation with derivative nonlinearities2019
- Author(s)
  Masahiro Ikeda
- Organizer
  Seminars at Peking University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] ポテンシャル項を持つ非線形シュレディンガー方程式の定常問題について2019
- Author(s)
  浜野大, 池田正弘
- Organizer
  日本数学会・2020年度年会
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Test function method for blow-up phenomena of semilinear wave equations and their weakly coupled system2019
- Author(s)
  Masahiro Ikeda
- Organizer
  2019 Workshop on Geometry and Nonlinear Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 再生核ヒルベルト空間上のPerron-Frobenius作用素を用いた非線形力学系間の比較について2019
- Author(s)
  池田正弘
- Organizer
  京都大学NLPDEセミナー
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] ノイズ付き非線形力学系のためのKrylov部分空間法2019
- Author(s)
  橋本悠香, 石川勲, 池田正弘, 松尾洋一, 河原吉伸
- Organizer
  第22回情報論的学習理論
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Blow-up phenomena of semilinear wave equations and their weakly coupled system2019
- Author(s)
  Masahiro Ikeda
- Organizer
  12th ISAAC Congress
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581
[Presentation] Lifespan of solutions to semilinear wave equation with time-dependent critical damping2018
- Author(s)
  池田正弘
- Organizer
  神楽坂非線形波動研究会
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Blow-up of solutions to semi linear wave equation with a scaling invariant critical damping2018
- Author(s)
  M.Ikeda
- Organizer
  MSJ-SI "The Role of Metrics in the Theory of Partial Differential Equations", Hokkaido University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] 線形消散型波動方程式の解の時間減衰評価, 可積分でない初期値を持つ非線形問題の臨界指数2018
- Author(s)
  池田正弘, 戍亥隆恭, 岡本葵, 若杉勇太
- Organizer
  2018年日本数学会年会
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Sharp estimate of lifespan to semi linear damped wave equation with an effective time-dependent damping2018
- Author(s)
  M.Ikeda
- Organizer
  International Workshop on "Fundamental Problems in Mathematical and Theoretical Physics", Waseda University,
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Life-span of solutions to semilinear wave equation with time-dependent critical damping2018
- Author(s)
  池田正弘, 側島基宏
- Organizer
  2018年日本数学会年会
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] On a test function method for blowup of solutions to semi linear damped wave equations2018
- Author(s)
  池田正弘, 側島基宏
- Organizer
  2018年日本数学会秋季総合分科会, 岡山大学
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Life-span of solutions to semilinear wave equation with space-dependent critical damping2018
- Author(s)
  池田正弘, 側島基宏
- Organizer
  2018年日本数学会年会
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] 空間変数に依存するスケール臨界な摩擦項を持つ非線形波動方程式の小さな初期値に対する解の爆発2018
- Author(s)
  池田正弘
- Organizer
  南大阪セミナー, 大阪市立大学
- Invited
- Data Source
  KAKENHI-PROJECT-18H01132
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equation with a linear potential2017
- Author(s)
  Masahiro Ikeda
- Organizer
  ISAAC2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equation with a repulsive potential2017
- Author(s)
  Masahiro Ikeda
- Organizer
  Probabilistic perspectives in nonlinear PDEs
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Upper bound for lifespan of solutions to certain semilinear parabolic, dispersive and hyperbolic equations via a unified test function method2017
- Author(s)
  池田正弘
- Organizer
  数理生物学・現象数理学ワークショップ
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics of solutions below a ground state for the nonlinear Schr\"odinger equation with a repulsive potential2017
- Author(s)
  池田正弘
- Organizer
  Seminar on Nonlinear Analysis at O-okayama
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Scattering below a ground state for NLS with a potential in 1d2017
- Author(s)
  池田正弘
- Organizer
  埼玉解析ゼミ
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Lifespan of blow-up solutions to semi linear wave equation with space-dependent critical damping2017
- Author(s)
  Masahiro Ikeda
- Organizer
  Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equations with a repulsive potential2017
- Author(s)
  池田正弘
- Organizer
  名古屋微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equations with a potential2017
- Author(s)
  池田正弘
- Organizer
  談話会(東京理科大学野田キャンパス)
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] ポテンシャル付き非線形シュレディンガー方程式の解の大域ダイナミクスについて2017
- Author(s)
  池田正弘
- Organizer
  談話会(慶応義塾大学矢上キャンパス)
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equations with a potential2017
- Author(s)
  池田正弘
- Organizer
  応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equation with a linear potential2017
- Author(s)
  Masahiro Ikeda
- Organizer
  Hausdorff School: Dispersive Equations, Solitons, and Blow-up
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the nonlinear Schr\"odinger equations with a repulsive potential2017
- Author(s)
  池田正弘
- Organizer
  神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] 時間変数に依存するスケール臨界な摩擦項を持つ非線形波動方程式の解の爆発2017
- Author(s)
  池田正弘
- Organizer
  京都大学NLPDEセミナー
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] ディラックのデルタ関数をポテンシャルに持つ非線形シュレディンガー方程式の解の分類について2016
- Author(s)
  池田正弘
- Organizer
  線形及び非線形分散型方程式に関する最近の進展
- Place of Presentation
  京都大学
- Year and Date
  2016-05-16
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Sharp Lifespan Estimates and Blow-up Rates for the Semilinear Wave Equation with Time-Dependent Damping and Subcritical Nonlinearities2016
- Author(s)
  Masahiro Ikeda
- Organizer
  2016 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic and Inverse Problems
- Place of Presentation
  National Cheng Kung University
- Year and Date
  2016-12-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Lifespan of solutions to the damped wave equation with the Fujita exponent2016
- Author(s)
  Masahiro Ikeda
- Organizer
  Seminar on Nonlinear Wave Equations in Hakodate
- Place of Presentation
  はこだて未来大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] ディラックのデルタ関数をポテンシャルに持つ非線形シュレディンガー方程式の解の分類について2016
- Author(s)
  池田正弘
- Organizer
  談話会
- Place of Presentation
  名古屋大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Sharp estimate of lifespan and blow-up rate of solutions to the damped wave equation2016
- Author(s)
  池田　正弘
- Organizer
  第6回弘前非線形方程式研究会
- Place of Presentation
  弘前大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] ディラックのデルタ関数をポテンシャルに持つ非線形シュレディンガー方程式の解の分類について2016
- Author(s)
  池田正弘
- Organizer
  数理モデルにおける非線型消散・分散構造の臨界性の未開領域解明
- Place of Presentation
  東北大学
- Year and Date
  2016-01-22
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] ディラックのデルタ関数をポテンシャルに持つ非線形シュレディンガー方程式の解の分類について2016
- Author(s)
  池田正弘
- Organizer
  HMA seminar
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Dirac のデルタ関数をポテンシャルに持つ非線形シュレディンガー方程式の解の分類について2016
- Author(s)
  池田正弘, 戌亥隆恭
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] lobal dynamics for the focusing nonlinear Sch\"odingier equation with a repulsive delta potential in the mass-supercritical case,2015
- Author(s)
  池田正弘
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学
- Year and Date
  2015-12-19
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Estimate on the lifespan of solutions to the damped wave equation with a critical nonlinearlity2015
- Author(s)
  池田正弘
- Organizer
  The 3rd CAU-Kyoto U. Joint Workshop on Nonlinear PDEs
- Place of Presentation
  Seo-gwi-po KAL hotel, Jejudo, Korea
- Year and Date
  2015-09-21
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17571
[Presentation] Global dynamics below the ground state for the mass-supercritical focusing nonlinear Schr\"odingier equation with a repulsive delta potential2015
- Author(s)
  池田正弘
- Organizer
  第9回実解析と関数解析による微分方程式セミナー
- Place of Presentation
  ヒルズサンピア山形
- Year and Date
  2015-12-23
- Invited
- Data Source
  KAKENHI-PROJECT-15K17571

1. 若杉勇太 (20771140)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
2. Hiroyuki Takamura (40241781)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 若狭恭平 (60783404)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
4. 石川勲 (80804236)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 園田翔 (00801218)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 谷口晃一 (60856235)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 武石直也 (20824030)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 赤嶺政仁 (00835465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 町原秀二 (20346373)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 菊池弘明 (00612277)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 平山浩之 (90748328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 千頭昇 (60789006)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 内田俊 (60777986)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 古屋貴士 (00883696)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 磯部伸 (20998512)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. TAKAI Yuuki

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
17. SAWANO Yoshihiro

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
18. 岡本葵

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Ikeda Masahiro 池田 正弘

Research Projects

Research Products

Co-Researchers

Data-Driven Inference: Mathematical Foundation and Application to High-Dimensional Measurements

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Development of Global Well-Posedness Theory for Nonlinear Partial Differential Equations and Its Application to Data-Driven ResearchPrincipal Investigator

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Deepening the analysis of deep learning through functional space theory

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Stability of standing waves for the nonlinear Schr\"odinger equation with an external potentialPrincipal Investigator

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Well-posedness and global dynamics of solutions to nonlinear partial differential equationsPrincipal Investigator

Principal Investigator

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Breakthrough on the wave-like property of solutions of nonlinear damped wave equations

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Study on critical nonlinear dispersive wave equationsPrincipal Investigator

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[Journal Article] Unconditional uniqueness and non-uniqueness for Hardy-Henon parabolic equations2024

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[Journal Article] Global dynamics below a threshold for the nonlinear Schrodinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph2024

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[Journal Article] Blow-up solutions for non-scale-invariant Nonlinear Schrodinger equation in one dimension2024

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[Journal Article] Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator2024

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[Journal Article] Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces2024

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[Journal Article] Blow-up Solutions to Nonlinear Schrodinger Equation with a Potential2024

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[Journal Article] C*-Algebraic Machine Learning: Moving in a New Direction2024

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Ikeda Masahiro 池田正弘