The problem of separating structured information representing phenomena of differing natures is considered. A structure is assumed to be independent of the others if can be represented in a complementary subspace. When the concomitant subspaces are well separated the problem is readily solvable by a linear technique. Otherwise, the linear approach fails to correctly discriminate the required information. Hence, a non-extensive approach is proposed. The resulting nonlinear technique is shown to be suitable for dealing with cases that cannot be tackled by the linear one.
Bibliographical noteNOTICE: this is the author’s version of a work that was accepted for publication in Physica A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Rebollo-Neira, Laura and Plastino, A. (2009). Nonlinear non-extensive approach for identification of structured information. Physica A, 388, 22, (2009) DOI: 10.1016/j.physa.2009.08.003
- nonextensive nonlinear approximations
- oblique projections
- sparse representations