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A Comparative Study of CMA-ES on Large Scale Global Optimisation

机译:CMA-es对大规模全球优化的比较研究

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In this paper, we investigate the performance of CMA-ES on large scale non-separable optimisation problems. CMA-ES is a robust local optimiser that has shown great performance on small-scale non-separable optimisation problems. Self-adaptation of a covariance matrix makes it rotational invariant which is a desirable property, especially for solving non-separable problems. The focus of this paper is to compare the performance of CMA-ES with Cooperative Co-evolutionary Algorithms (CCEAs) for large scale global optimisation (on problems with up to 1000 real-valued variables). Since the original CMA-ES is incapable of handling problems with more than several hundreds dimensions, sep-CMA-ES was developed using only the diagonal elements of the co-variance matrix., In this paper sep-CMA-ES is compared with several existing CCEAs. Experimental results revealed that the performance of sep-CMA-ES drops significantly when the dimensionality of the problem increases. However, our results suggest that the rotational invariant property of CMA-ES can be utilised in conjunction with a CCEA to further enhance its capability to handle large scale optimisation problems.
机译:在本文中,我们研究了CMA-ES对大规模不可分离优化问题的性能。 CMA-es是一款强大的本地优化器,对小规模不可分离的优化问题表现出具有很大的性能。协方差矩阵的自适应使其成为旋转不变的,这是一种理想的性质,尤其是解决不可分散的问题。本文的重点是将CMA-es与合作共同演进算法(CCEAS)的性能进行比较,以实现大规模全局优化(关于多达1000个实值变量的问题)。由于原始CMA-ES无法处理超过数百尺寸的问题,因此仅使用共方矩阵的对角线元素开发了SEP-CMA-ES。在本文中,SEP-CMA-ES与几个现有的CCEAS。实验结果表明,当问题的维度增加时,SEP-CMA-ES的性能显着下降。然而,我们的结果表明CMA-ES的旋转不变性能可以与CCEA结合使用,以进一步增强其处理大规模优化问题的能力。

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