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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.11925 |
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| _version_ | 1866913146746175488 |
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| author | Dziedziul, Karol Kryzhevich, Sergey Wieczyński, Paweł |
| author_facet | Dziedziul, Karol Kryzhevich, Sergey Wieczyński, Paweł |
| 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". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11925 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mercer Large-Scale Kernel Machines from Ridge Function Perspective Dziedziul, Karol Kryzhevich, Sergey Wieczyński, Paweł Machine Learning Classical Analysis and ODEs 42A10, 68T07, 26B40 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". |
| title | Mercer Large-Scale Kernel Machines from Ridge Function Perspective |
| topic | Machine Learning Classical Analysis and ODEs 42A10, 68T07, 26B40 |
| url | https://arxiv.org/abs/2307.11925 |