A data mining application of the incidence semirings

Abawajy, J., Kelarev, A.V., Yearwood, J.L. and Turville, C. 2013, A data mining application of the incidence semirings, Houston journal of mathematics, vol. 39, no. 4, pp. 1083-1093.

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Title A data mining application of the incidence semirings
Author(s) Abawajy, J.ORCID iD for Abawajy, J. orcid.org/0000-0001-8962-1222
Kelarev, A.V.
Yearwood, J.L.
Turville, C.
Journal name Houston journal of mathematics
Volume number 39
Issue number 4
Start page 1083
End page 1093
Total pages 11
Publisher University of Houston, Department of Mathematics
Place of publication Houston, Tx.
Publication date 2013
ISSN 0362-1588
Summary This paper is devoted to a combinatorial problem for incidence semirings, which can be viewed as sets of polynomials over graphs, where the edges are the unknowns and the coefficients are taken from a semiring. The construction of incidence rings is very well known and has many useful applications. The present article is devoted to a novel application of the more general incidence semirings. Recent research on data mining has motivated the investigation of the sets of centroids that have largest weights in semiring constructions. These sets are valuable for the design of centroid-based classification systems, or classifiers, as well as for the design of multiple classifiers combining several individual classifiers. Our article gives a complete description of all sets of centroids with the largest weight in incidence semirings.
Language eng
Field of Research 080501 Distributed and Grid Systems
Socio Economic Objective 890103 Mobile Data Networks and Services
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2013, University of Houston, Dept of Mathematics
Persistent URL http://hdl.handle.net/10536/DRO/DU:30058839

Document type: Journal Article
Collection: School of Information Technology
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