Search Results for author: Yoshihiro Sawano

Found 3 papers, 0 papers with code

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

no code implementations20 Nov 2020 Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

In the present study, we investigate a universality of neural networks, which concerns a density of the set of two-layer neural networks in a function spaces.

Vocal Bursts Valence Prediction

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

no code implementations27 Nov 2019 Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

In this paper, we specify what functions induce the bounded composition operators on a reproducing kernel Hilbert space (RKHS) associated with an analytic positive definite function defined on $\mathbf{R}^d$.

The global optimum of shallow neural network is attained by ridgelet transform

no code implementations19 May 2018 Sho Sonoda, Isao Ishikawa, Masahiro Ikeda, Kei Hagihara, Yoshihiro Sawano, Takuo Matsubara, Noboru Murata

We prove that the global minimum of the backpropagation (BP) training problem of neural networks with an arbitrary nonlinear activation is given by the ridgelet transform.

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