Population-variance and explorative power of Harmony Search: An analysis

Arpan Mukhopadhyay, Anwit Roy, Sourav Das, Swagatam Das, A. Abraham
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引用次数: 53

Abstract

This paper presents a simple mathematical analysis of some features of the Harmony Search algorithm (HS). HS is a recently developed derivative-free optimization algorithm, which draws inspiration from the musical process of searching for a perfect state of harmony. This work analyses the evolution of the population-variance over successive generations in HS and thereby draws some important conclusions regarding the explorative power of HS. Experimental results have been provided to validate the theoretical treatment. A simple modification of the classical HS has been proposed in the light of the mathematical analysis undertaken here.
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人口方差与和谐搜索的探索力分析
本文对和谐搜索算法(HS)的一些特性进行了简单的数学分析。HS是最近开发的一种无导数优化算法,其灵感来自于寻找完美和谐状态的音乐过程。本研究分析了高通量种群变异在世代间的演化过程,从而得出了一些关于高通量探索能力的重要结论。实验结果验证了理论处理的正确性。根据这里进行的数学分析,提出了对经典HS的一个简单修改。
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