relation: http://eprints.imtlucca.it/1714/
title: Estimates of Variation with Respect to a Set and Applications to Optimization Problems
creator: Gnecco, Giorgio
creator: Sanguineti, Marcello
subject: QA75 Electronic computers. Computer science
description: A variational norm that plays a role in functional optimization and learning from data is investigated. For sets of functions obtained by varying some parameters in fixed-structure computational units (e.g., Gaussians with variable centers and widths), upper bounds on the variational norms associated with such units are derived. The results are applied to functional optimization problems arising in nonlinear approximation by variable-basis functions and in learning from data. They are also applied to the construction of minimizing sequences by an extension of the Ritz method.
publisher: Springer-Verlag
date: 2010
type: Article
type: PeerReviewed
identifier:   Gnecco, Giorgio and Sanguineti, Marcello  Estimates of Variation with Respect to a Set and Applications to Optimization Problems.  Journal of Optimization Theory and Applications, 145 (1).  pp. 53-75.  ISSN 0022-3239      (2010)  
relation: http://dx.doi.org/10.1007/s10957-009-9620-6
relation: 10.1007/s10957-009-9620-6