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Evolution Strategies for Robust Optimization

Authors: Hans-Georg Beyer; Bernhard Sendhoff;

Evolution Strategies for Robust Optimization

Abstract

In this paper, we propose two evolutionary strategies for the optimization of problems with actuator noise as encountered in robust optimization, where the design or objective parameters are subject to noise: the ROSAES and the ROCSAES. Both algorithms use a control rule for increasing the population size when the residual error to the optimizer state has been reached. Theoretical analysis has previously shown that the residual error depends among other factors on the population size and on the variance of the noise. Furthermore, ROSAES exploits the similarity of the mutation term in evolutionary strategies and the additive noise term in the case of actuator noise. The population variance is controlled to guarantee that the realized noise level is adjusted correctly. Simulations are carried out on test functions and the results are analyzed with respect to the performance and the dependence of ROSAES and ROCSAES on newly introduced exogenous strategy parameters.

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    citations
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    32
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
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!
32
Top 10%
Top 10%
Average
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