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Greedy adaptation of control parameters in differential evolution for global optimization problems

机译:全局最优解的差分进化中控制参数的贪婪适应

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Differential evolution (DE) is a very attractive evolutionary and meta-heuristic technique to solve many optimization problems in various real-world scenarios. However, the proper setting of control parameters of DE is highly dependent on the problem to solve as well as on the different stages of the search process. This paper proposes a new greedy adaptation method for dynamic adjustment of mutation factor and crossover rate in DE. The proposed method is based on the idea of greedy search to find better parameter assignment in the neighborhood of a current candidate. Our work emphasizes reliable evaluation of candidates via applying a candidate with a number of times in the search process. As our purpose is not merely to increase the success rate (the survival of more trial solutions) but also to accelerate the speed of fitness improvement, we suggest a new metric termed as progress rate to access the quality of candidates in support of the greedy search. This greedy parameter adaptation method has been incorporated into basic DE, leading to a new DE algorithm called Greedy Adaptive Differential Evolution (GADE). GADE was tested on 25 benchmark functions in comparison with five other DE variants. The results of evaluation demonstrate that GADE is strongly competitive: it obtains the best ranking among the counterparts in terms of the summation of relative errors across the benchmark functions.
机译:差分进化(DE)是一种非常吸引人的进化和元启发式技术,可以解决现实世界中各种场景中的许多优化问题。但是,DE的控制参数的正确设置高度取决于要解决的问题以及搜索过程的不同阶段。本文提出了一种新的贪婪适应方法,用于动态调整DE中的变异因子和交叉率。所提出的方法基于贪婪搜索的思想,以在当前候选者的邻域中找到更好的参数分配。我们的工作强调通过在搜索过程中多次应用候选人来对候选人进行可靠的评估。由于我们的目的不仅是提高成功率(更多试验解决方案的生存率),而且还为了加快适应度的提高,我们建议使用一种新的指标,称为进步率,以获取候选人的素质以支持贪婪的搜索。这种贪婪的参数自适应方法已被并入基本的DE中,从而产生了一种称为贪婪自适应差分进化(GADE)的新DE算法。与其他五个DE变体相比,GADE在25个基准功能上进行了测试。评估结果表明,GADE具有很强的竞争力:就基准功能之间的相对误差总和而言,它在同类产品中排名最高。

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