Gnecco, Giorgio Approximation and Estimation Bounds for Subsets of Reproducing Kernel Kreǐn Spaces. Neural Processing Letters, 39 (2). pp. 137-153. ISSN 1370-4621 (2014)
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Official URL: http://dx.doi.org/10.1007/s11063-013-9294-9
Abstract
Reproducing kernel Kreın spaces are used in learning from data via kernel methods when the kernel is indefinite. In this paper, a characterization of a subset of the unit ball in such spaces is provided. Conditions are given, under which upper bounds on the estimation error and the approximation error can be applied simultaneously to such a subset. Finally, it is shown that the hyperbolic-tangent kernel and other indefinite kernels satisfy such conditions.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1007/s11063-013-9294-9 |
| Uncontrolled Keywords: | Reproducing Kernel Kreǐn Spaces; Estimation error; Approximation error; Rademacher complexity |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Research Area: | Computer Science and Applications |
| Depositing User: | Giorgio Gnecco |
| Date Deposited: | 17 Sep 2013 07:43 |
| Last Modified: | 18 Feb 2015 11:35 |
| URI: | http://eprints.imtlucca.it/id/eprint/1748 |
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Approximation and Estimation Bounds for Subsets of Reproducing Kernel Kreǐn Spaces. (deposited 16 Sep 2013 10:45)
- Approximation and Estimation Bounds for Subsets of Reproducing Kernel Kreǐn Spaces. (deposited 17 Sep 2013 07:43) [Currently Displayed]
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