relation: http://eprints.imtlucca.it/1710/
title: Error bounds for suboptimal solutions to kernel principal component analysis
creator: Gnecco, Giorgio
creator: Sanguineti, Marcello
subject: QA75 Electronic computers. Computer science
description: Suboptimal solutions to kernel principal component analysis are considered. Such solutions take on the form of linear combinations of all n-tuples of kernel functions centered on the data, where n is a positive integer smaller than the cardinality m of the data sample. Their accuracy in approximating the optimal solution, obtained in general for n = m, is estimated. The analysis made in Gnecco and Sanguineti (Comput Optim Appl 42:265–287, 2009) is extended. The estimates derived therein for the approximation of the first principal axis are improved and extensions to the successive principal axes are derived.
publisher: Springer
date: 2010
type: Article
type: PeerReviewed
identifier:   Gnecco, Giorgio and Sanguineti, Marcello  Error bounds for suboptimal solutions to kernel principal component analysis.  Optimization Letters, 4 (2).  pp. 197-210.  ISSN 1862-4472      (2010)  
relation: http://dx.doi.org/10.1007/s11590-009-0158-1
relation: 10.1007/s11590-009-0158-1