Pattern Recognition, 4th Edition

4.15. Radial Basis Function Networks

The interpolation functions (kernels) that will be considered in this section are of the general formThat is, the argument of the function is the Euclidean distance of the input vector x from a center cⁱ, which justifies the name radial basis function (RBF). Function f can take various forms, for example,(4.53)(4.54)The Gaussian form is more widely used. For a large enough value of k, it can be shown that the ...