%0 Journal Article
%@ 1862-4472
%A Gnecco, Giorgio
%A Sanguineti, Marcello
%D 2010
%F eprints:1710
%I Springer
%J Optimization Letters
%K Principal component analysis (PCA); Kernel methods; Suboptimal solutions
%N 2
%P 197-210
%T Error bounds for suboptimal solutions to kernel principal component analysis
%U http://eprints.imtlucca.it/1710/
%V 4
%X 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.