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期刊论文
Reproducing kernel Banach spaces with the norm
Applied and Computational Harmonic Analysis,2013,34(1):96-116 | 2013年01月01日 | https://doi.org/10.1016/j.acha.2012.03.009
Targeting at sparse learning, we construct Banach spaces of functions on an input space X with the following properties: (1) possesses an norm in the sense that 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 and are representable through a bilinear form with a kernel function; and (3) regularized learning schemes on satisfy the linear representer theorem. Examples of kernel functions admissible for the construction of such spaces are given.
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