Minimax Lower Bounds for Ridge Combinations Including Neural Nets

Jason M. Klusowski, Andrew R. Barron

Estimation of functions of $d$ variables is considered using ridge combinations of the form ${\sum }_{k=1}^m{c}_{1,k}\varphi ({\sum }_{j=1}^d{c}_{0,j,k}{x}_j-b_k)$ where th…