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Ikeda, Masahiro

  1. Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations
    2023/01/02 by Noboru Chikami, Chikami, Noboru, Masahiro Ikeda +5 · 4 citations
    Mathematics · #35K58 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Primary 35A02 #Secondary 35B33
  2. Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces
    2021/04/29 by Noboru Chikami, Chikami, Noboru, Masahiro Ikeda +3 · 3 citations
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35K05 #Secondary 35B40
  3. Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces
    2024/03/04 by Ishikawa, Isao, Hashimoto, Yuka, Ikeda, Masahiro +1 · 5 citations
    #37M10 #47A10 #47B33 #65F99 #65P99 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Spectral Theory (math.SP)
  4. Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators
    2020/06/20 by Teshima, Takeshi, Ishikawa, Isao, Tojo, Koichi +3 · 2 citations
    #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural and Evolutionary Computing (cs.NE)
  5. Universal Approximation Property of Neural Ordinary Differential Equations
    2020/12/04 by Teshima, Takeshi, Tojo, Koichi, Ikeda, Masahiro +2 · 2 citations
    #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML)
  6. Universality of Group Convolutional Neural Networks Based on Ridgelet Analysis on Groups
    2022/05/30 by Sho Sonoda, Sonoda, Sho, Isao Ishikawa +3 · 2 citations
    Neuroscience · Computer Science · Engineering · #Brain Tumor Detection and Classification #Medical Image Segmentation Techniques #Sparse and Compressive Sensing Techniques
  7. The sharp estimate of the lifespan for the semilinear wave equation with time-dependent damping
    2017/07/13 by Ikeda, Masahiro, Inui, Takahisa · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data
    2017/09/13 by Masahiro Ikeda, Ikeda, Masahiro, Motohiro Sobajima +1 · 1 citation
    Engineering · Mathematics · #35L70 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
  9. Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators
    2018/05/31 by Isao Ishikawa, Keisuke Fujii, Ishikawa, Isao +7 · 1 citation
    Mathematics · Agricultural and Biological Sciences · #Morphological variations and asymmetry #Advanced Scientific Research Methods
  10. Finding Cheeger Cuts in Hypergraphs via Heat Equation
    2018/09/12 by Masahiro Ikeda, Ikeda, Masahiro, Atsushi Miyauchi +5 · 1 citation
    Computer Science · Decision Sciences · Mathematics · #05C81 #47H06 #68R10 #Analysis of PDEs (math.AP) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Graph theory and applications #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Spectral Theory (math.SP) #Topological and Geometric Data Analysis
  11. Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces
    2021/06/18 by Ikeda, Masahiro, Taniguchi, Koichi, Wakasugi, Yuta · 1 citation
    #35B40 #35L70 #35L90 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35L15 #Secondary 35A01
  12. On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
    2021/09/10 by Fukaya, Noriyoshi, Georgiev, Vladimir, Ikeda, Masahiro · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  13. Nonlinear Evolution Equation Associated with Hypergraph Laplacian
    2021/07/30 by Masahiro Ikeda, Shun Uchida, Ikeda, Masahiro +1 · 1 citation
    Computer Science · Mathematics · #26D15 #47J30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Graph theory and applications #Nonlinear Partial Differential Equations #Primary 34G25 #Secondary 05C65
  14. Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis
    2022/03/03 by Sonoda, Sho, Ishikawa, Isao, Ikeda, Masahiro · 1 citation
    #FOS: Computer and information sciences #Machine Learning (cs.LG)
  15. Universal approximation property of invertible neural networks
    2022/04/15 by Isao Ishikawa, Ishikawa, Isao, Takeshi Teshima +9 · 1 citation
    Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Neural and Evolutionary Computing (cs.NE)
  16. Heat equation on the hypergraph containing vertices with given data
    2022/12/11 by T. Fukao, Fukao, Takeshi, Masahiro Ikeda +3 · 1 citation
    Mathematics · Medicine · #05C65 #34G25 #47J30 #47J35 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #advanced mathematical theories
  17. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain
    2023/05/09 by Masahiro Ikeda, Ikeda, Masahiro, Motohiro Sobajima +5 · 1 citation
    Mathematics · Engineering · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Differential Equations and Numerical Methods
  18. Deep Ridgelet Transform and Unified Universality Theorem for Deep and Shallow Joint-Group-Equivariant Machines
    2024/05/22 by Sho Sonoda, Sonoda, Sho, Yuka Hashimoto +5 · 2 citations
    Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Matrix Theory and Algorithms #Representation Theory (math.RT)