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Optimization and matrix constructions for classification of data

Kelarev, A. V., Yearwood, J. L., Vamplew, P. W., Abawajy, J. L. and Chowdhury, M. 2011, Optimization and matrix constructions for classification of data, New Zealand journal of mathematics, vol. 41, pp. 65-73.

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Title Optimization and matrix constructions for classification of data
Author(s) Kelarev, A. V.
Yearwood, J. L.
Vamplew, P. W.
Abawajy, J. L.
Chowdhury, M.
Journal name New Zealand journal of mathematics
Volume number 41
Start page 65
End page 73
Total pages 8
Publisher University of Auckland, Department of Mathematics
Place of publication Auckland, New Zealand
Publication date 2011
ISSN 1179-4984
1171-6096
Keyword(s) matrix constructions
ideals
semirings
optimization system
Summary Max-plus algebras and more general semirings have many useful applications and have been actively investigated. On the other hand, structural matrix rings are also well known and have been considered by many authors. The main theorem of this article completely describes all optimal ideals in the more general structural matrix semirings. Originally, our investigation of these ideals was motivated by applications in data mining for the design of centroid-based classification systems, as well as for the design of multiple classification systems combining several individual classifiers.
Language eng
Field of Research 080501 Distributed and Grid Systems
Socio Economic Objective 890205 Information Processing Services (incl. Data Entry and Capture)
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2011, University of Auckland, Department of Mathematics
Persistent URL http://hdl.handle.net/10536/DRO/DU:30044110

Document type: Journal Article
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