基本遗传算法中的高概率突变

Nicolae-Eugen Croitoru
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引用次数: 6

摘要

遗传算法通常使用低概率变异算子。为了提高它们的性能,本文提出了一种具有非常高突变率(≈95%)的遗传算法的研究。相对于低概率(≈1%)突变遗传算法,在两大类问题上进行了比较:数值函数(众所周知的测试函数,如Rosenbrock's, Six-Hump Camel Back)和位块函数(如Royal Road, Trap函数)。大量的实验运行结合参数的变化为比较提供了统计学意义。发现高概率突变在大多数测试函数上表现良好,在某些函数上表现优于低概率突变。然后,这些结果在动态对偶编码和选择压力减少方面进行了解释,并将其置于没有免费午餐定理的背景下。
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High-Probability Mutation in Basic Genetic Algorithms
Customarily, Genetic Algorithms use lowprobability mutation operators. In an effort to increase their performance, this paper presents a study of Genetic Algorithms with very high mutation rates (≈ 95%) . A comparison is drawn, relative to the low-probability (≈ 1%) mutation GA, on two large classes of problems: numerical functions (well-known test functions such as Rosenbrock's, Six-Hump Camel Back) and bit-block functions (e.g. Royal Road, Trap Functions). A large number of experimental runs combined with parameter variation provide statistical significance for the comparison. The high-probability mutation is found to perform well on most tested functions, outperforming low-probability mutation on some of them. These results are then explained in terms of dynamic dual encoding and selection pressure reduction, and placed in the context of the No Free Lunch theorem.
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