Masahiro Ikeda

1. Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations
   2023/01/02 by Noboru Chikami, Masahiro Ikeda, Chikami, Noboru +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, Masahiro Ikeda, Chikami, Noboru +3 · 3 citations
   Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35K05 #Secondary 35B40
3. Universality of Group Convolutional Neural Networks Based on Ridgelet Analysis on Groups
   2022/05/30 by Sho Sonoda, Isao Ishikawa, Sonoda, Sho +3 · 2 citations
   Neuroscience · Computer Science · Engineering · #Brain Tumor Detection and Classification #Medical Image Segmentation Techniques #Sparse and Compressive Sensing Techniques
4. Understanding the Vogel–Fulcher–Tammann law in terms of the bond strength–coordination number fluctuation model
   2013/05/24 by Masahiro Ikeda, Masaru Aniya · 1 citation
   Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Glass properties and applications #Theoretical and Computational Physics
5. 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
6. 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
7. Finding Cheeger Cuts in Hypergraphs via Heat Equation
   2018/09/12 by Masahiro Ikeda, Atsushi Miyauchi, Ikeda, Masahiro +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
8. Global existence and asymptotic behavior for semilinear damped wave equations on measure spaces
   2021/06/18 by Masahiro Ikeda, Koichi Taniguchi, Ikeda, Masahiro +3 · 1 citation
   Engineering · Mathematics · #35B40 #35L70 #35L90 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Primary 35L15 #Secondary 35A01 #Stability and Controllability of Differential Equations
9. 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
10. 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)
11. 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
12. 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
13. 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)