On the selection of solutions for mutation in differential evolution

On the selection of solutions for mutation in differential evolution
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论差异进化中突变解的选择

DOI:
10.1007/s11704-016-5353-5
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发表时间:
2018-03
影响因子:
4.2
通讯作者:
Wang Jiahai
Wang Jiahai
中科院分区:
计算机科学3区
文献类型:
--
作者:
Liu Zhi-Zhong;Li Jianbin;Li Han-Xiong;Wang Jiahai

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差分进化(DE)是进化算法的一种,适用于解决复杂的优化问题。变异是 DE 中的一个关键步骤,它可以从旧的解决方案中生成新的解决方案。有人争论并在 DE 中普遍采用,选择用于突变的解决方案应该具有相互不同的指数。然而,这一限制条件尚未得到理论和经验的验证。在本文中,我们实证研究了 DE 突变解决方案的选择。从大量实验的观察来看,我们建议对于一些经典的 DE 版本以及一些高级的 DE 变体可以放宽约束条件。此外,放宽约束条件也可能有助于设计更好的未来 DE 算法。
Differential evolution (DE) is a kind of evolutionary algorithms, which is suitable for solving complex optimization problems. Mutation is a crucial step in DE that generates new solutions from old ones. It was argued and has been commonly adopted in DE that the solutions selected for mutation should have mutually different indices. This restrained condition, however, has not been verified either theoretically or empirically yet. In this paper, we empirically investigate the selection of solutions for mutation in DE. From the observation of the extensive experiments, we suggest that the restrained condition could be relaxed for some classical DE versions as well as some advanced DE variants. Moreover, relaxing the restrained condition may also be useful in designing better future DE algorithms.
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