Gnecco, Giorgio and Kůrková, Věra and Sanguineti, Marcello Accuracy of Approximations of Solutions to Fredholm Equations by Kernel Methods. Applied Mathematics and Computation, 218 (14). 7481 - 7497. ISSN 0096-3003 (2012)
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Abstract
Approximate solutions to inhomogeneous Fredholm integral equations of the second kind by radial and kernel networks are investigated. Upper bounds are derived on errors in approximation of solutions of these equations by networks with increasing model complexity. The bounds are obtained using results from nonlinear approximation theory. The results are applied to networks with Gaussian and kernel units and illustrated by numerical simulations.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1016/j.amc.2012.01.015 |
| Uncontrolled Keywords: | Approximate solutions to integral equations; Radial and kernel-based networks; Gaussian kernels; Model complexity; Analysis of algorithms |
| 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 07:41 |
| Last Modified: | 17 Sep 2013 07:41 |
| URI: | http://eprints.imtlucca.it/id/eprint/1743 |
Available Versions of this Item
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Accuracy of approximations of solutions to Fredholm equations by kernel methods. (deposited 13 Sep 2013 11:54)
- Accuracy of Approximations of Solutions to Fredholm Equations by Kernel Methods. (deposited 17 Sep 2013 07:41) [Currently Displayed]
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