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Supply of order-1 building blocks for functions linearly combined of sinusoidal bases with integral frequencies

机译:提供1阶构建块,用于将正弦波基与整数频率线性组合的功能

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In line with the theory of schema sampling, a hypothesis could be made that sufficient supply of low-order building blocks (BBs) was one of the necessary conditions for a genetic algorithm(GA) to work. A consequential question of this hypothesis regards, when a certain fitness function is optimized with a commonly used GA, whether it is rare or common that there are plenty of low-order BBs. It is remarked that, when a base-m encoded GA is applied to a fitness function that is linearly combined of sinusoidal basis functions with integral frequencies, it is unlikely to obtain order-1 BBs with fixed positions at multiple loci, i.e., it is rare that there are plenty of order-1 BBs. However, if a considerable part of the sinusoidal basis functions are with frequencies exponential to a positive integer m, a base-m encoding can provide relatively more order-1 BBs compared with the encodings with cardinalities other than m.
机译:根据模式抽样的理论,可以做出一个假设,即充足的低阶构造块(BBs)供应是遗传算法(GA)起作用的必要条件之一。该假设的一个相关问题是,当使用通用遗传算法优化某个适应度函数时,是否存在大量低阶BB是罕见的还是普遍的。值得注意的是,当将base-m编码的GA应用于将正弦基函数与整数频率线性组合的适应度函数时,不太可能获得在多个基因座处具有固定位置的1阶BB。很少有大量的1阶BB。但是,如果正弦基函数的相当一部分的频率与正整数m呈指数关系,则与m以外的基数编码相比,base-m编码可以提供相对更多的1阶BB。

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