A global universality of two-layer neural networks with ReLU activations
Machine Learning
2020-11-23 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2011.10225,
title = {A global universality of two-layer neural networks with ReLU activations},
author = {Naoya Hatano and Masahiro Ikeda and Isao Ishikawa and Yoshihiro Sawano},
journal= {arXiv preprint arXiv:2011.10225},
year = {2020}
}