The best approximation properties and error bounds of Gaussian networks

B Liu,J Si

doi:10.1109/cdc.1993.325705

The best approximation properties and error bounds of Gaussian networks

B Liu, J Si

https://doi.org/10.1109/cdc.1993.325705

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Publication Date: Dec 15, 1993

Citations: 8

Affiliation: Arizona State University

#Approximation Properties #Gaussian Network + Show 8 more

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Abstract

The best approximation of any C/sup 2/ function with support on the unit hypercube I/sub m/ in R/sup m/ is considered in the present paper. We prove that a Gaussian radial basis network with centers defined on a regular mesh in R/sup m/ has the best approximation property. Moreover, an upper bound (O(N/sup -2/)) of the approximation is obtained for a network having N/sup m/ units. >

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