20 citations · 60 across the 24 of their papers we have counts for
6 papers · 1 filter
Global universality of the two-layer neural network with the -rectified linear unit
N. Hatano, M. Ikeda, I. Ishikawa +1
This paper concerns the universality of the two-layer neural network with the -rectified linear unit activation function with with a suitable norm without any res…
Dynamic Structure Estimation from Bandit Feedback using Nonvanishing Exponential Sums
Motoya Ohnishi, Isao Ishikawa, Yuko Kuroki +1
This work tackles the dynamic structure estimation problems for periodically behaved discrete dynamical system in the Euclidean space. We assume the observations become sequentiall…
Universality of Group Convolutional Neural Networks Based on Ridgelet Analysis on Groups
Sho Sonoda, Isao Ishikawa, Masahiro Ikeda
We show the universality of depth-2 group convolutional neural networks (GCNNs) in a unified and constructive manner based on the ridgelet theory. Despite widespread use in applica…
Universal approximation property of invertible neural networks
Isao Ishikawa, Takeshi Teshima, Koichi Tojo +3
Invertible neural networks (INNs) are neural network architectures with invertibility by design. Thanks to their invertibility and the tractability of Jacobian, INNs have various m…
Koopman and Perron-Frobenius Operators on reproducing kernel Banach spaces
Masahiro Ikeda, Isao Ishikawa, Corbinian Schlosser
Koopman and Perron-Frobenius operators for dynamical systems have been getting popular in a number of fields in science these days. Properties of the Koopman operator essentially d…
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis
Sho Sonoda, Isao Ishikawa, Masahiro Ikeda
Neural network on Riemannian symmetric space such as hyperbolic space and the manifold of symmetric positive definite (SPD) matrices is an emerging subject of research in geometric…