Approximation capabilities of multilayer feedforward networks

K Hornik - Neural networks, 1991 - Elsevier
Abstract We show that standard multilayer feedforward networks with as few as a single
hidden layer and arbitrary bounded and nonconstant activation function are universal
approximators with respect to L p (μ) performance criteria, for arbitrary finite input
environment measures μ, provided only that sufficiently many hidden units are available. If
the activation function is continuous, bounded and nonconstant, then continuous ...