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CMA-ES with Two-Point Step-Size Adaptation
Nikolaus Hansen ( ) 1, 2
(2008)

We combine a refined version of two-point step-size adaptation with the covariance matrix adaptation evolution strategy (CMA-ES). Additionally, we suggest polished formulae for the learning rate of the covariance matrix and the recombination weights. In contrast to cumulative step-size adaptation or to the 1/5-th success rule, the refined two-point adaptation (TPA) does not rely on any internal model of optimality. In contrast to conventional self-adaptation, the TPA will achieve a better target step-size in particular with large populations. The disadvantage of TPA is that it relies on two additional objective function evaluations.
1:  TAO (INRIA Futurs)
INRIA – CNRS : UMR8623 – Université Paris XI - Paris Sud
2:  Microsoft Research - Inria Joint Centre (MSR - INRIA)
INRIA – Microsoft – Microsoft Research Laboratory Cambridge
Computer Science/Neural and Evolutionary Computing
optimization – evolutionary algorithms – covariance matrix adaptation – step-size control – self-adaptation – two-point adaptation
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twopointSA.pdf(169.3 KB)

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