Title
The Compact Genetic Algorithm Struggles on Cliff Functions
Abstract
The compact genetic algorithm (cGA) is a non-elitist estimation of distribution algorithm which has shown to be able to deal with difficult multimodal fitness landscapes that are hard to solve by elitist algorithms. In this paper, we investigate the cGA on the Cliff function for which it has been shown recently that non-elitist evolutionary algorithms and artificial immune systems optimize it in expected polynomial time. We point out that the cGA faces major difficulties when solving the Cliff function and investigate its dynamics both experimentally and theoretically around the Cliff. Our experimental results indicate that the cGA requires exponential time for all values of the update strength... We show theoretically that, under sensible assumptions, there is a negative drift when sampling around the location of the cliff. Experiments further suggest that there is a phase transition for.. where the expected optimization time drops from n Theta((n)) to 2 Theta((n)).
Year
DOI
Venue
2022
10.1145/3512290.3528776
PROCEEDINGS OF THE 2022 GENETIC AND EVOLUTIONARY COMPUTATION CONFERENCE (GECCO'22)
Keywords
DocType
Citations 
Estimation-of-distribution algorithms, compact genetic algorithm, evolutionary algorithms, running time analysis, theory.
Conference
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Frank Neumann104.06
Dirk Sudholt200.34
Carsten Witt398759.83