进化算法中的二进制表示问题

S. C. Chiam, C. Goh, Kay Chen Tan
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引用次数: 11

摘要

最近的研究表明,进化算法是一种有效的优化工具,可以成功地解决具有复杂和竞争规范的现实问题。尽管他们的表现在很大程度上受到所采用的表现形式的影响,但由于缺乏适当的指导方针和框架,这种选择往往来自直觉和猜测。本文考虑了二进制表示,并对其问题进行了全面的研究,确定了影响其算法性能的关键因素。此外,提出了两个指标来概括保存的概念,量化基因型和表型搜索空间之间的相似性。在确定因素的基础上,对二值码和灰色码这两种经典翻译码进行了研究,并通过保存分析揭示了它们之间的差异
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Issues of Binary Representation in Evolutionary Algorithms
Recent studies show that evolutionary algorithms are effective optimization tools for their success in solving real-world problem with complex and competing specifications. Although their performances are greatly influenced by the type of representation adopted, this choice often arises from intuition and guesswork due to the absence of proper guidelines and framework. This paper considers binary representation and presents a comprehensive study on its issues, identifying the key factors that affect its algorithmic performance. Furthermore, two metrics are proposed to generalize the concept of preservation which quantifies the similarities between the genotype and phenotype search space. The two classical translation codes i.e. binary and gray are studied based on the identified factors and a preservation analysis revealed the differences between them
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