Nomura T, Shimohara K
Faculty of Management Information, Hannan University 5-4-33, Amamihigashi, Matsubara, Osaka 580-8502, Japan.
Evol Comput. 2001 Fall;9(3):283-308. doi: 10.1162/106365601750406000.
This paper concerns recombinations which produce offspring from two parents. We assume an infinite population and regard recombinations as transformations of stochastic variables represented as chromosomes. We then formalize recombinations with the probability density functions of stochastic variables represented as the parameters and describe the change of the probability density functions of chromosomes before and after recombination. Our formalization includes various proposed recombinations, such as multi-point, uniform, and linear crossover, as well as BLX-alpha. We also derive certain properties of the operators, such as diversification and decorrelation.
本文关注的是由两个亲本产生后代的重组。我们假设种群数量无限，并将重组视为表示为染色体的随机变量的变换。然后，我们用表示为参数的随机变量的概率密度函数来形式化重组，并描述重组前后染色体概率密度函数的变化。我们的形式化包括各种提出的重组方式，如多点、均匀和线性交叉，以及BLX-α。我们还推导了这些算子的某些性质，如多样化和去相关。
