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Bibliographic Details
Main Authors: Dziedziul, Karol, Kryzhevich, Sergey, Wieczyński, Paweł
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2307.11925
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Table of Contents:
  • To present Mercer large-scale kernel machines from a ridge function perspective, we recall the results by Lin and Pinkus from {\it Fundamentality of ridge functions}. We consider the main result of the recent paper by Rachimi and Recht, 2008, {\it Random features for large-scale kernel machines} from the Approximation Theory point of view. We study which kernels could be approximated by a sum of products of cosine functions with arguments depending on $x$ and $y$ and present the obstacles of such an approach. The results of this article are applied to Image Processing by procedure "one-vs-rest".