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Conference paper

Faster Black-Box Algorithms Through Higher Arity Operators

In Foga '11 Proceedings of the 11th Workshop Proceedings on Foundations of Genetic Algorithms — 2011, pp. 163-171
From

Max Planck Institute1

Algorithms and Logic, Department of Informatics and Mathematical Modeling, Technical University of Denmark2

Department of Informatics and Mathematical Modeling, Technical University of Denmark3

We extend the work of Lehre and Witt (GECCO 2010) on the unbiased black-box model by considering higher arity variation operators. In particular, we show that already for binary operators the black-box complexity of LeadingOnes drops from (n2) for unary operators to O(n log n). For OneMax, the (n log n) unary black-box complexity drops to O(n) in the binary case.

For k-ary operators, k n, the OneMax-complexity further decreases to O(n= log k).

Language: English
Publisher: ACM
Year: 2011
Pages: 163-171
Proceedings: 11th Foundations of Genetic Algorithms workshop Schwarzenberg
Journal subtitle: Proceedings of the 2011 Acm/sigevo Foundations of Genetic Algorithms Xi
ISBN: 1450306330 and 9781450306331
Types: Conference paper
DOI: 10.1145/1967654.1967669

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