Title :
Gaussian radial basis functions and indexed families of functionals
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
Abstract :
In this paper, we report on results concerning the capabilities of Gaussian radial basis function networks in the setting of inner product spaces that need not be finite dimensional. Specifically, we show that important indexed families of functionals can be uniformly approximated with the approximation uniform also with respect to the index. Applications are described concerning the classification of signals and the synthesis of reconfigurable classifiers.
Keywords :
Gaussian processes; function approximation; radial basis function networks; signal classification; Gaussian radial basis function; functionals; indexed families; inner product space; reconfigurable classifiers; signal classification; uniform approximation; Application software; Electronic mail; Feedforward neural networks; Medical diagnosis; Medical signal detection; Network synthesis; Neural networks; Optical computing; Radial basis function networks; Signal synthesis;
Conference_Titel :
Signals, Systems and Computers, 2002. Conference Record of the Thirty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-7576-9
DOI :
10.1109/ACSSC.2002.1197316
