Approximation Rates for Shallow ReLU${}^k$ Neural Networks on Sobolev Spaces via the Radon Transform

Tong Mao, Jonathan W. Siegel, Jinchao Xu

Let $\hat{I}\text{c◯}\subset {\mathbb{R}}^d$ be a bounded domain. We consider the problem of how efficiently shallow neural networks with the ReLU${}^k$ activation function can approximate functions…