Representations and rates of approximation of real-valued Boolean functions by neural networks.
We give upper bounds on rates of approximation of real-valued functions of d Boolean variables by one-hidden-layer perceptron networks. Our bounds are of the form c/n where c depends on certain norms of the function being approximated and n is the number of hidden units. We describe sets of functions where these norms grow either polynomially or exponentially with d.
Kůrková
V
Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vodárensku vezi; 2, P.O. Box 5 182 07, Prague, Czech Republic
Savický
P
P
Hlavácková
K
K