Masahiro Ikeda | DeepAI

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∙ 05/23/2023

Deep Learning with Kernels through RKHM and the Perron-Frobenius Operator

Reproducing kernel Hilbert C^*-module (RKHM) is a generalization of repr...

0 Yuka Hashimoto, et al. ∙

∙ 10/21/2022

Learning in RKHM: a C^*-Algebraic Twist for Kernel Machines

Supervised learning in reproducing kernel Hilbert space (RKHS) and vecto...

0 Yuka Hashimoto, et al. ∙

∙ 06/02/2022

Dynamic Structure Estimation from Bandit Feedback

This work present novel method for structure estimation of an underlying...

0 Motoya Ohnishi, et al. ∙

∙ 05/30/2022

Universality of group convolutional neural networks based on ridgelet analysis on groups

We investigate the approximation property of group convolutional neural ...

0 Sho Sonoda, et al. ∙

∙ 04/15/2022

Universal approximation property of invertible neural networks

Invertible neural networks (INNs) are neural network architectures with ...

0 Isao Ishikawa, et al. ∙

∙ 03/03/2022

Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis

Neural network on Riemannian symmetric space such as hyperbolic space an...

0 Sho Sonoda, et al. ∙

∙ 06/30/2021

Koopman Spectrum Nonlinear Regulator and Provably Efficient Online Learning

Most modern reinforcement learning algorithms optimize a cumulative sing...

0 Motoya Ohnishi, et al. ∙

∙ 06/09/2021

Ghosts in Neural Networks: Existence, Structure and Role of Infinite-Dimensional Null Space

Overparametrization has been remarkably successful for deep learning stu...

0 Sho Sonoda, et al. ∙

∙ 01/27/2021

Reproducing kernel Hilbert C*-module and kernel mean embeddings

Kernel methods have been among the most popular techniques in machine le...

0 Yuka Hashimoto, et al. ∙

∙ 12/04/2020

Universal Approximation Property of Neural Ordinary Differential Equations

Neural ordinary differential equations (NODEs) is an invertible neural n...

0 Takeshi Teshima, et al. ∙

∙ 11/20/2020

A global universality of two-layer neural networks with ReLU activations

In the present study, we investigate a universality of neural networks, ...

0 Naoya Hatano, et al. ∙

∙ 07/29/2020

Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures

Kernel mean embedding (KME) is a powerful tool to analyze probability me...

0 Yuka Hashimoto, et al. ∙

∙ 07/07/2020

Gradient Descent Converges to Ridgelet Spectrum

Deep learning achieves a high generalization performance in practice, de...

0 Sho Sonoda, et al. ∙

∙ 06/20/2020

Coupling-based Invertible Neural Networks Are Universal Diffeomorphism Approximators

Invertible neural networks based on coupling flows (CF-INNs) have variou...

0 Takeshi Teshima, et al. ∙

∙ 06/15/2020

Hypergraph Clustering Based on PageRank

A hypergraph is a useful combinatorial object to model ternary or higher...

0 Yuuki Takai, et al. ∙

∙ 03/02/2020

Analysis via Orthonormal Systems in Reproducing Kernel Hilbert C^*-Modules and Applications

Kernel methods have been among the most popular techniques in machine le...

0 Yuka Hashimoto, et al. ∙

∙ 11/27/2019

Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions

Composition operators have been extensively studied in complex analysis,...

0 Masahiro Ikeda, et al. ∙

∙ 06/17/2019

Metric on random dynamical systems with vector-valued reproducing kernel Hilbert spaces

The development of a metric on structural data-generating mechanisms is ...

0 Isao Ishikawa, et al. ∙

∙ 09/12/2018

Finding Cheeger Cuts in Hypergraphs via Heat Equation

Cheeger's inequality states that a tightly connected subset can be extra...

0 Masahiro Ikeda, et al. ∙

∙ 05/31/2018

Metric on Nonlinear Dynamical Systems with Koopman Operators

The development of a metric for structural data is a long-term problem i...

0 Isao Ishikawa, et al. ∙

∙ 05/19/2018

Integral representation of the global minimizer

We have obtained an integral representation of the shallow neural networ...

0 Sho Sonoda, et al. ∙

∙ 02/24/2017

Software Defined Media: Virtualization of Audio-Visual Services

Internet-native audio-visual services are witnessing rapid development. ...

0 Manabu Tsukada, et al. ∙

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