- Title
- Rees matrix constructions for clustering of data
- Creator
- Kelarev, Andrei; Watters, Paul; Yearwood, John
- Date
- 2009
- Type
- Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/42048
- Identifier
- vital:2363
- Identifier
-
https://doi.org/10.1017/s1446788709000299
- Identifier
- ISSN 1446-7887
- Abstract
- This paper continues the investigation of semigroup constructions motivated by applications in data mining. We give a complete description of the error-correcting capabilities of a large family of clusterers based on Rees matrix semigroups well known in semigroup theory. This result strengthens and complements previous formulas recently obtained in the literature. Examples show that our theorems do not generalize to other classes of semigroups.
- Publisher
- Australian Mathematical Society
- Relation
- Journal of the Australian Mathematical Society Vol. 87, no. 3 (2009), p. 377-393; http://purl.org/au-research/grants/arc/DP0211866
- Rights
- Copyright Australian Mathematical Society
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- Rees matrix semigroups; Clustering; Data mining
- Full Text
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