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Nonlinear non-extensive approach for identification of structured information

Laura Rebollo-Neira and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 22, 4703-4712

Abstract: 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.

Keywords: Nonextensive nonlinear approximations; Oblique projections; Sparse representations (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:22:p:4703-4712

DOI: 10.1016/j.physa.2009.08.003

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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