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arXiv 2305.04553cs.NEcs.AI
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更大的后代种群帮助 $(1 + (λ, λ))$ 遗传算法克服噪声

Larger Offspring Populations Help the $(1 + (λ, λ))$ Genetic Algorithm to Overcome the Noise

HSE University(高等经济大学);Skoltech(斯科尔科沃科技学院);The University of Adelaide(阿德莱德大学);Laboratoire d’Informatique (LIX)(信息学实验室(LIX));CNRS(法国国家科学研究中心);École Polytechnique(巴黎综合理工学院);Institut Polytechnique de Paris(巴黎理工学院)

Alexandra Ivanova, Denis Antipov, Benjamin Doerr

AI总结:

研究分析了 $(1+(λ,λ))$ 遗传算法在噪声环境下的鲁棒性,发现其不仅未因中间选择和交叉修复机制而降低鲁棒性,反而在多数基准问题上比 $(1+λ)$ 进化算法更抗噪。

摘要:

进化算法已知对适应度评估中的噪声具有鲁棒性。特别是,较大的后代种群规模通常带来较强的鲁棒性。我们分析 $(1+(λ,λ))$ 遗传算法对噪声的鲁棒程度。该算法也使用较大的后代种群规模,但中间选择步骤和非标准地将交叉用作修复机制可能使该算法不如简单的 $(1+λ)$ 进化算法鲁棒。我们在几个经典基准问题上的实验分析表明,这一困难并未出现。令人惊讶的是,在许多情况下,该算法比 $(1+λ)$ 进化算法对噪声更鲁棒。

英文摘要:

Evolutionary algorithms are known to be robust to noise in the evaluation of the fitness. In particular, larger offspring population sizes often lead to strong robustness. We analyze to what extent the $(1+(λ,λ))$ genetic algorithm is robust to noise. This algorithm also works with larger offspring population sizes, but an intermediate selection step and a non-standard use of crossover as repair mechanism could render this algorithm less robust than, e.g., the simple $(1+λ)$ evolutionary algorithm. Our experimental analysis on several classic benchmark problems shows that this difficulty does not arise. Surprisingly, in many situations this algorithm is even more robust to noise than the $(1+λ)$~EA.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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