Title
Offspring population size matters when comparing evolutionary algorithms with self-adjusting mutation rates
Abstract
ABSTRACTWe analyze the performance of the 2-rate (1 + λ) Evolutionary Algorithm (EA) with self-adjusting mutation rate control, its 3-rate counterpart, and a (1 + λ) EA variant using multiplicative update rules on the OneMax problem. We compare their efficiency for offspring population sizes ranging up to λ = 3, 200 and problem sizes up to n = 100,000. Our empirical results show that the ranking of the algorithms is very consistent across all tested dimensions, but strongly depends on the population size. While for small values of λ the 2-rate EA performs best, the multiplicative updates become superior for starting for some threshold value of λ between 50 and 100. Interestingly, for population sizes around 50, the (1 + λ) EA with static mutation rates performs on par with the best of the self-adjusting algorithms. We also consider how the lower bound pmin for the mutation rate influences the efficiency of the algorithms. We observe that for the 2-rate EA and the EA with multiplicative update rules the more generous bound pmin = 1/n2 gives better results than pmin = 1/n when λ is small. For both algorithms the situation reverses for large λ.
Year
DOI
Venue
2019
10.1145/3321707.3321827
Genetic and Evolutionary Computation Conference
Field
DocType
Volume
Population,Mathematical optimization,Combinatorics,Mutation rate,Multiplicative function,Evolutionary algorithm,Computer science,Upper and lower bounds,Population size,Lambda
Journal
abs/1904.08032
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Anna Rodionova100.34
Kirill Antonov200.68
Arina Buzdalova3619.42
Carola Doerr425934.91