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(Ebook) Generalized Mercer Kernels and Reproducing Kernel Banach Spaces by Yuesheng Xu; Qi Ye ISBN 9781470450779, 1470450771

  • SKU: EBN-51652338
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Instant download (eBook) Generalized Mercer Kernels and Reproducing Kernel Banach Spaces after payment.
Authors:Yuesheng Xu; Qi Ye
Pages:134 pages.
Year:2019
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:1.64 MB
Format:pdf
ISBNS:9781470450779, 1470450771
Categories: Ebooks

Product desciption

(Ebook) Generalized Mercer Kernels and Reproducing Kernel Banach Spaces by Yuesheng Xu; Qi Ye ISBN 9781470450779, 1470450771

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 $1\leq p\leq\infty$.
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