International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 35, Pages 1843-1853

Backward adaptive biorthogonalization

L. Rebollo-Neira

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.


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.