
Gradient Descent Converges to Ridgelet Spectrum
Deep learning achieves a high generalization performance in practice, de...
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Couplingbased Invertible Neural Networks Are Universal Diffeomorphism Approximators
Invertible neural networks based on coupling flows (CFINNs) have variou...
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Hypergraph Clustering Based on PageRank
A hypergraph is a useful combinatorial object to model ternary or higher...
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Analysis via Orthonormal Systems in Reproducing Kernel Hilbert C^*Modules and Applications
Kernel methods have been among the most popular techniques in machine le...
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Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Composition operators have been extensively studied in complex analysis,...
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Metric on random dynamical systems with vectorvalued reproducing kernel Hilbert spaces
The development of a metric on structural datagenerating mechanisms is ...
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Finding Cheeger Cuts in Hypergraphs via Heat Equation
Cheeger's inequality states that a tightly connected subset can be extra...
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Metric on Nonlinear Dynamical Systems with Koopman Operators
The development of a metric for structural data is a longterm problem i...
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Integral representation of the global minimizer
We have obtained an integral representation of the shallow neural networ...
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Software Defined Media: Virtualization of AudioVisual Services
Internetnative audiovisual services are witnessing rapid development. ...
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Masahiro Ikeda
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