Adding Learning Capabilities to the LEX Algorithm for Computing Minimal Transversals



Document title: Adding Learning Capabilities to the LEX Algorithm for Computing Minimal Transversals
Journal: Computación y sistemas
Database:
System number: 000560798
ISSN: 1405-5546
Authors: 1
2
3
Institutions: 1Escuela Politécnica Nacional, Quito, Quito. Ecuador
2Instituto Politécnico Nacional, Centro de Investigación en Computación, Mexico City. México
3Universidad San Francisco de Quito, Colegio de Ciencias e Ingenierías, Quito. Ecuador
Year:
Season: Abr-Jun
Volumen: 27
Number: 2
Pages: 357-370
Country: México
Language: Inglés
English abstract Despite being little known and poorly documented, LEX is part of the family of typical testors-finding algorithms that generally has better performance than other much more divulged similar algorithms. The recently published relationship between typical testors and minimal hitting sets, potentially extends the usefulness and applicability of this algorithm to the hypergraphs and data mining fields. Unfortunately, the high time-complexity of both typical testors and minimal hitting sets algorithms still remains a major obstacle. Therefore, alternatives that can help overcome difficult problems are constantly being researched. In this paper we propose the inclusion of a symbolic learning behavior into the implementation of the LEX algorithm. The incorporated symbolic learning is a general strategy for optimizing the search process, and thus improves the efficiency of minimal transversals and typical testors algorithms. In addition, the performance of the resulting algorithm is assessed by using carefully designed benchmark test matrices.
Keyword: LEX algorithm,
Learning strategy,
Minimal transversals,
Hypergraph,
Irreducible testor
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