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

11/20/2020

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by   Naoya Hatano, et al.

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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.