Robust and Resource Efficient Identification of Shallow Neural Networks by Fewest Samples

Massimo Fornasier, Jan Vybíral, Ingrid Daubechies

We address the structure identification and the uniform approximation of sums of ridge functions $f(x)={\sum }_{i=1}^m{g}_i(a_i\cdot x)$ on ${\mathbb{R}}^d$, representing a general form…