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arXiv · 2011.10225

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

Naoya Hatano·Masahiro Ikeda·Isao Ishikawa·Yoshihiro Sawano
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Abstract

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. There are many works that handle the convergence over compact sets. In the present paper, we consider a global convergence by introducing a norm suitably, so that our results will be uniform over any compact set.

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Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano. 2020-11-20. A global universality of two-layer neural networks with ReLU activations. https://arxiv.org/abs/2011.10225

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