This is an announcement for the paper "Reproducing kernel Banach spaces with the l1 norm" by Guohui Song, Haizhang Zhang, Fred J. Hickernell.

Abstract: Targeting at sparse learning, we construct Banach spaces B of functions on an input space X with the properties that (1) B possesses an l1 norm in the sense that it is isometrically isomorphic to the Banach space of integrable functions on X with respect to the counting measure; (2) point evaluations are continuous linear functionals on B and are representable through a bilinear form with a kernel function; (3) regularized learning schemes on B satisfy the linear representer theorem. Examples of kernel functions admissible for the construction of such spaces are given.

Archive classification: stat.ML cs.LG math.FA

Submitted from: zhhaizh2@sysu.edu.cn

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1101.4388

or

http://arXiv.org/abs/1101.4388