THE CAPABILITY OF LOCALIZED NEURAL NETWORK APPROXIMATION
Nahmwoo Hahm, Bum Il Hong · Honam Mathematical Journal · 2013
In this paper, we investigate a localized approximation of a continuously differentiable function by neural networks. To do this, we first approximate a continuously differentiable function by B-spline functions and then approximate B-spline functions by neural networks. Our proofs are constructive and we give numerical results to support our theory.