A POLYNOMIAL RING CONSTRUCTION FOR THE CLASSIFICATION OF DATA

DOI10.1017/S0004972708001111zbMath1181.16024MaRDI QIDQ3624606

Peter Vamplew, J. L. Yearwood, Andrei V. Kelarev

Publication date: 30 April 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

group ringsclassification of dataerror-correcting capabilityring constructionscombined multiple classifiersvisible sets of generators

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Pattern recognition, speech recognition (68T10) Other types of codes (94B60) Semigroup rings, multiplicative semigroups of rings (20M25) Ideals in associative algebras (16D25)

Related Items (15)

Rees semigroups of digraphs for classification of data. ⋮ On hyperideals in left almost semihypergroups. ⋮ Classification systems based on combinatorial semigroups ⋮ Centroid sets with largest weight in Munn semirings for data mining applications ⋮ THE REGULAR GRAPH OF A NONCOMMUTATIVE RING ⋮ OPTIMAL REES MATRIX CONSTRUCTIONS FOR ANALYSIS OF DATA ⋮ Optimization of classifiers for data mining based on combinatorial semigroups ⋮ INCIDENCE SEMIRINGS OF GRAPHS AND VISIBLE BASES ⋮ INTERNET SECURITY APPLICATIONS OF GRÖBNER-SHIRSHOV BASES ⋮ Internet security applications of the Munn rings ⋮ Distances of centroid sets in a graph-based construction for information security applications ⋮ OPTIMIZATION OF MATRIX SEMIRINGS FOR CLASSIFICATION SYSTEMS ⋮ Cayley graphs as classifiers for data mining: the influence of asymmetries ⋮ REES MATRIX CONSTRUCTIONS FOR CLUSTERING OF DATA ⋮ Ideal basis in constructions defined by directed graphs

Cites Work

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• An algorithm for computing the minimum distances of extensions of BCH codes embedded in semigroup rings
• Generators and weights of polynomial codes
• Visible codes
• A global optimization approach to classification
• On cyclic codes in incidence rings
• An Algorithm for Commutative Semigroup Algebras Which are Principal Ideal Rings

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