International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 35, Pages 1843-1853
doi:10.1155/S0161171204302061
Backward adaptive biorthogonalization
Neural Computing Research Group, Aston University, Birmingham B4 7ET, UK
Received 7 February 2003
Copyright © 2004 L. Rebollo-Neira. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
A backward biorthogonalization approach is proposed, which
modifies biorthogonal functions so as to generate orthogonal
projections onto a reduced subspace. The technique is relevant to
problems amenable to be represented by a general linear model. In
particular, problems of data compression, noise reduction, and
sparse representations may be tackled by the proposed approach.