Approximation of continuous functions by a class of neural network
Xie Ting-fan · 2011
Discussed the approximation of continuous functions by the feed-forward artificial neural network with a tool of convolution approximation,which approximating the continuous function f(X) ind is the estimation error is O{ω{f,n-1d+2}+n-1d+2‖f‖∞}.Where ω(f,δ) is the continuity modulus of f(X) in d and ‖f‖∞ is the maximum of |f(X)|.