Ishikawa, Isao

1. 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)
2. 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)
3. 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)
4. 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
5. A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems
   2025/01/23 by Xu, Yuanchao, Shao, Kaidi, Ishikawa, Isao +3 · 5 citations
   #Dynamical Systems (math.DS) #FOS: Mathematics
6. Metric on Nonlinear Dynamical Systems with Perron-Frobenius Operators
   2018/05/31 by Isao Ishikawa, Ishikawa, Isao, Keisuke Fujii +7 · 1 citation
   Mathematics · Agricultural and Biological Sciences · #Morphological variations and asymmetry #Advanced Scientific Research Methods
7. 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)
8. Universal approximation property of invertible neural networks
   2022/04/15 by Isao Ishikawa, Takeshi Teshima, Ishikawa, Isao +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)
9. 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)