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Generalized Mercer kernels and reproducing kernel Banach spaces /
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 implem...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2019.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1243. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 g. |
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| Descripción Física: | 1 online resource |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781470450779 1470450771 |
| ISSN: | 0065-9266 ; |