Wednesday, 7 October 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 29-774
Full Name: Giorgio Gnecco
Position: Doctor (Researcher)
Age: ON
Sex: Male
Address: Via all'Opera Pia, 13, Genoa
Country: ITALY
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E-mail address: giorgio.gnecco@dist.unige.it
Other E-mails: gnecco@dima.unige.it
Title of the Paper: Weight-decay regularization in reproducing kernel Hilbert spaces by variable-basis schemes
Authors as they appear in the Paper: Giorgio Gnecco and Marcello Sanguineti
Email addresses of all the authors: giorgio.gnecco@dist.unige.it, marcello@dist.unige.it
Number of paper pages: 10
Abstract: The optimization problems associated with various regularization techniques for supervised learning from data (e.g., weight-decay and Tikhonov regularization) are described in the context of Reproducing Kernel Hilbert Spaces. Suboptimal solutions expressed by sparse kernel models with a given upper bound on the number of kernel computational units are investigated. Improvements of some estimates obtained in Comput. Manag. Sci., vol. 6, pp. 53-79, 2009 are derived. Relationships between sparseness and generalization are discussed.
Keywords: Learning from data, Regularization, Weight decay, Suboptimal solutions, Rates of approximation
EXTENSION of the file: .pdf
Special (Invited) Session: Estimates on weight-decay regularization by variable-basis schemes
Organizer of the Session: 626-180
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