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arXiv · 2006.09126

Evolutionary Algorithms with Self-adjusting Asymmetric Mutation

Amirhossein Rajabi·Carsten Witt
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Abstract

Evolutionary Algorithms (EAs) and other randomized search heuristics are often considered as unbiased algorithms that are invariant with respect to different transformations of the underlying search space. However, if a certain amount of domain knowledge is available the use of biased search operators in EAs becomes viable. We consider a simple (1+1) EA for binary search spaces and analyze an asymmetric mutation operator that can treat zero- and one-bits differently. This operator extends previous work by Jansen and Sudholt (ECJ 18(1), 2010) by allowing the operator asymmetry to vary according to the success rate of the algorithm. Using a self-adjusting scheme that learns an appropriate degree of asymmetry, we show improved runtime results on the class of functions OneMax$_a$ describing the number of matching bits with a fixed target $a\in\{0,1\}^n$.

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Amirhossein Rajabi, Carsten Witt. 2020-06-16. Evolutionary Algorithms with Self-adjusting Asymmetric Mutation. https://doi.org/10.1007/978-3-030-58112-1_46

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