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CMA-ES with Restarts for Solving CEC 2013 Benchmark Problems

Ilya Loshchilov 1 
1 Laboratory of Intelligent Systems (LIS)
LIS - Laboratory of Intelligent Systems
Abstract : This paper investigates the performance of 6 versions of Covariance Matrix Adaptation Evolution Strategy (CMA-ES) with restarts on a set of 28 noiseless optimization problems (including 23 multi-modal ones) designed for the special session on real-parameter optimization of CEC 2013. The experimental validation of the restart strategies shows that: i). the versions of CMA-ES with weighted active covariance matrix update outperform the original versions of CMA-ES, especially on ill-conditioned problems; ii). the original restart strategies with increasing population size (IPOP) are usually outperformed by the bi-population restart strategies where the initial mutation step-size is also varied; iii). the recently proposed alternative restart strategies for CMA-ES demonstrate a competitive performance and are ranked first w.r.t. the proportion of function-target pairs solved after the full run on all 10-, 30- and 50-dimensional problems.
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Submitted on : Saturday, May 18, 2013 - 8:06:01 PM
Last modification on : Monday, October 13, 2014 - 3:43:25 PM
Long-term archiving on: : Monday, August 19, 2013 - 5:00:50 AM


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  • HAL Id : hal-00823880, version 1


Ilya Loshchilov. CMA-ES with Restarts for Solving CEC 2013 Benchmark Problems. IEEE Congress on Evolutionary Computation, Jun 2013, Cancun, Mexico. ⟨hal-00823880⟩



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