THE BEST APPROXIMATION TO C-2 FUNCTIONS AND ITS ERROR-BOUNDS USING REGULAR-CENTER GUASSIAN NETWORKS

Authors
LIU BF SI J
Citation
Bf. Liu et J. Si, THE BEST APPROXIMATION TO C-2 FUNCTIONS AND ITS ERROR-BOUNDS USING REGULAR-CENTER GUASSIAN NETWORKS, IEEE transactions on neural networks, 5(5), 1994, pp. 845-847
Citations number
20
Categorie Soggetti
Computer Application, Chemistry & Engineering","Engineering, Eletrical & Electronic","Computer Science Artificial Intelligence","Computer Science Hardware & Architecture","Computer Science Theory & Methods
Journal title
IEEE transactions on neural networks → ACNP
ISSN journal
10459227
Volume
5
Issue
5
Year of publication
1994
Pages
845 - 847
Database
ISI
SICI code
1045-9227(1994)5:5<845:TBATCF>2.0.ZU;2-B
Abstract
Gaussian neural networks are considered to approximate any C2 function with support on the unit hypercube I(m) = [0, 1]m in the sense of bes t approximation. An upper bound (O(N-2)) of the approximation error is obtained in the present letter for a Gaussian network having N(m) hid den neurons with centers defined on a regular mesh in I(m).