Estimates of Approximation Rates by Gaussian Radial-Basis Functions

Rates of approximation by networks with Gaussian RBFs with varying widths are investigated. For certain smooth functions, upper bounds are derived in terms of a Sobolev-equivalent norm. Coefficients involved are exponentially decreasing in the dimension. The estimates are proven using Bessel potentials as auxiliary approximating functions.

• Type: Conference
• Year: 2007
• Where: ICANNGA
• Authors: Paul C. Kainen, Vera Kurková, Marcello Sanguineti
• Keywords: Auxiliary Approximating Functions, Certain Smooth Functions, Gaussian RBFs, ICANNGA 2007