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Generalized Mercer Kernels And Reproducing Kernel Banach Spaces 1st Edition Yuesheng Xu Qi Ye

SKU: BELL-51652338

$ 31.00 ~~$ 45.00~~ (-31%)

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Generalized Mercer Kernels And Reproducing Kernel Banach Spaces 1st Edition Yuesheng Xu Qi Ye instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 1.64 MB

Pages: 134

Author: Yuesheng Xu; Qi Ye

ISBN: 9781470450779, 1470450771

Language: English

Year: 2019

Edition: 1

Product desciption

Generalized Mercer Kernels And Reproducing Kernel Banach Spaces 1st Edition Yuesheng Xu Qi Ye by Yuesheng Xu; Qi Ye 9781470450779, 1470450771 instant download after payment.

This article studies constructions of reproducing kernel Banach spaces (RKBSs) which may be viewed as a generalization of reproducing kernel Hilbert spaces (RKHSs). A key point is to endow Banach spaces with reproducing kernels such that machine learning in RKBSs can be well-posed and of easy implementation. First the authors verify many advanced properties of the general RKBSs such as density, continuity, separability, implicit representation, imbedding, compactness, representer theorem for learning methods, oracle inequality, and universal approximation. Then, they develop a new concept of generalized Mercer kernels to construct $p$-norm RKBSs for $1\leq p\leq\infty$.