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Regularization Techniques and Suboptimal Solutions to Optimization Problems in Learning from Data

Gnecco, Giorgio and Sanguineti, Marcello Regularization Techniques and Suboptimal Solutions to Optimization Problems in Learning from Data. Neural Computation, 22 (3). pp. 793-829. ISSN 0899-7667 (2010)

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Abstract

Various regularization techniques are investigated in supervised learning from data. Theoretical features of the associated optimization problems are studied, and sparse suboptimal solutions are searched for. Rates of approximate optimization are estimated for sequences of suboptimal solutions formed by linear combinations of n-tuples of computational units, and statistical learning bounds are derived. As hypothesis sets, reproducing kernel Hilbert spaces and their subsets are considered.

Item Type: Article
Identification Number: https://doi.org/10.1162/neco.2009.05-08-786
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 10:17
Last Modified: 16 Sep 2013 12:03
URI: http://eprints.imtlucca.it/id/eprint/1713

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