Universal Kernels

Charles A. Micchelli, Yuesheng Xu, Haizhang Zhang.

Year: 2006, Volume: 7, Issue: 95, Pages: 2651−2667


In this paper we investigate conditions on the features of a continuous kernel so that it may approximate an arbitrary continuous target function uniformly on any compact subset of the input space. A number of concrete examples are given of kernels with this universal approximating property.