基于泛函分析的思维进化算法收敛性研究

A Study on Convergence of Mind Evolutionary Algorithm Based on Functional Analysis

思维进化算法(MindEvolutionaryAlgorithm)是一种新型进化计算方法,主要通过“趋同”和“异化”算子进行进化操作。论文从泛函分析角度研究了种群在进化过程中的变化情况,用区间套定理证明了思维进化算法的全局收敛性。数值实验结果与所得结论相一致,验证了结论的正确性。

As one of new type evolutionary computing methods,Mind Evolutionary Algorithm processes evolutionary operations by ＇similartax＇ and ＇dissimilation＇ operator.This paper studies the variance of population during the evolution from the view of the functional analysis.Interval sheath theorem is used to prove the global convergence of the algorithm.The conclusion is validated again by the numerical experiment results.