Gnecco, Giorgio and Sanguineti, Marcello On a Variational Norm Tailored to Variable-Basis Approximation Schemes. IEEE Transactions on Information Theory, 57 (1). pp. 549-558. ISSN 0018-9448 (2011)
Full text not available from this repository.Abstract
A variational norm associated with sets of computational units and used in function approximation, learning from data, and infinite-dimensional optimization is investigated. For sets Gk obtained by varying a vector y of parameters in a fixed-structure computational unit K(-,y) (e.g., the set of Gaussians with free centers and widths), upper and lower bounds on the GK -variation norms of functions having certain integral representations are given, in terms of the £1-norms of the weighting functions in such representations. Families of functions for which the two norms are equal are described.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1109/TIT.2010.2090198 |
| Uncontrolled Keywords: | ${cal L}_1$-norm, Approximation schemes, convex hulls, infinite-dimensional optimization, upper and lower bounds, variation with respect to a set |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Research Area: | Computer Science and Applications |
| Depositing User: | Giorgio Gnecco |
| Date Deposited: | 13 Sep 2013 11:34 |
| Last Modified: | 16 Sep 2013 12:03 |
| URI: | http://eprints.imtlucca.it/id/eprint/1719 |
Actions (login required)
 |
Edit Item |
