DocumentCode :
1168026
Title :
The best approximation to C2 functions and its error bounds using regular-center Gaussian networks
Author :
Liu, Binfan ; Si, Jennie
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
Volume :
5
Issue :
5
fYear :
1994
fDate :
9/1/1994 12:00:00 AM
Firstpage :
845
Lastpage :
847
Abstract :
Gaussian neural networks are considered to approximate any C2 function with support on the unit hypercube Im=[0, 1] m in the sense of best approximation. An upper bound (O(N-2)) of the approximation error is obtained in the present paper for a Gaussian network having Nm hidden neurons with centers defined on a regular mesh in Im
Keywords :
error analysis; feedforward neural nets; function approximation; C2 functions; Gaussian neural networks; approximation error; best approximation; error bounds; hidden neurons; regular mesh; regular-center Gaussian networks; unit hypercube; upper bound; Approximation error; Approximation methods; Fourier transforms; Hypercubes; Joining processes;
fLanguage :
English
Journal_Title :
Neural Networks, IEEE Transactions on
Publisher :
ieee
ISSN :
1045-9227
Type :
jour
DOI :
10.1109/72.317739
Filename :
317739
Link To Document :
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