Patent ID: 6269323
Filing Date: 2001-07-31
Classification: G06F

Abstract:
A system for estimating a real function that describes a phenomenon occurring in a space of any dimension, comprising:an input device for receiving a plurality of measurements of the phenomenon;one or more stored programs that include instructions for:defining a kernel function using support vectors that defines an inner product in Hilbert space;defining a cross-kernel function corresponding to said kernel function;using said measurements, said kernel function, and a chosen error tolerance to form a functional;minimizing said functional to find a plurality of coefficients and a plurality of support vectors, said coefficients and said support vectors corresponding on a one-to-one basis; andforming an expansion from said cross-kernel, said coefficients, and said support vectors, said expansion having a plurality of terms, each term including a first multiplier that is said cross-kernel function as defined by one of said support vectors and a second multiplier that is said coefficient corresponding to said one of said support vectors, whereby said expansion forms an estimate of the real function;a processor for executing said instructions; andan output device for displaying the results of said function estimation.