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Comparing and Contrasting Differential Evolution (DE) and Covariance Matrix Adaptation Evolution Strategies

Authors: Opawale, Samuel;

Comparing and Contrasting Differential Evolution (DE) and Covariance Matrix Adaptation Evolution Strategies

Abstract

Evolutionary algorithms (EA) comprises population based algorithms that uses biologically inspired operators for optimization. DE and CMAES/IPOP are two powerful forms of EA that act on real numbers in order to provide solutions to multidimensional problems. Previously, researchers have tried to compare these two algorithms head-to-head, but no attempt has been made to compare and contrast the underlying mechanisms of these algorithms in order to better understand their effects and functionalities. The selection operator for CMA-ES was modified to make it more DElike by adding elitism selection instead of (μ, λ)). A new selection operator,here, was added to ES. We noticed an improvement with IPOP when here and elitism were used singly. In combination, the effect becomes remarkable, producing often a several orders of magnitude improvement in convergence time. One function, Levy, cause IPOP to stall when elitism was added. The reason for this is currently unknown.

Country
Canada
Related Organizations
Keywords

Population based algorithms, Biologically inspired operators, Differential evolution, Covariance Matrix adaptation Evolution

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green