Approximation by neural networks with scattered data

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Shaobo Lin, Xiaofei Guo, Feilong Cao, Zongben Xu

Published: 2013, Last Modified: 12 Nov 2024Appl. Math. Comput. 2013EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: In this paper, the approximation capability of feed-forward neural networks (FNNs) formed as ∑k=1nckϕ(x-xk) is considered, where ϕ is an even periodic continuous function and xk’s are scattered data. The best approximation error of trigonometric polynomials and the continuous modulus of the activation function ϕ are introduced to describe the approximation capability of FNNs.