Article
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Weighted Reproducing Kernel Property on Banach Spaces
Version 1
: Received: 25 March 2019 / Approved: 28 March 2019 / Online: 28 March 2019 (11:24:47 CET)
How to cite: Hashemi Sababe, S. Weighted Reproducing Kernel Property on Banach Spaces. Preprints 2019, 2019030263. https://doi.org/10.20944/preprints201903.0263.v1 Hashemi Sababe, S. Weighted Reproducing Kernel Property on Banach Spaces. Preprints 2019, 2019030263. https://doi.org/10.20944/preprints201903.0263.v1
Abstract
In this paper, we study the weighted reproducing kernels. We introduce a generalization of weighted reproducing property and extend it to relative reproducing property on Banach spaces. This generalization will develop the parallel computing and it can be used as a base of parallel learning for machines especially in the case that there are non-homogenous weighted hypothesis. This methods formulate learning and estimation problems in a relative reproducing kernel Banach space (RRKBS) of functions defined on the data domain, expanded in terms of a kernel.
Keywords
Reproducing property, learning theory, representer theorems.
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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