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电子学报 2013

多尺度量子谐振子高维函数全局优化算法

DOI: 10.3969/j.issn.0372-2112.2013.12.023, PP. 2468-2473

王鹏,黄焱,任超,郭又铭

Keywords: 多尺度量子谐振子算法,波函数,函数优化,全局优化

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Abstract:

函数优化问题与量子谐振子从高能态向基态收敛过程具有相似的概率解释，结合基于高斯尺度函数的多尺度二进信息采样方法，提出了高维函数优化问题的多尺度量子谐振子算法模型，该算法模型将高维函数优化过程分为尺度收敛和量子谐振子收敛两个步骤，物理模型明确，无需编码和复杂的初始条件设定，即可实现高维函数优化.通过对15种典型二维优化测试函数和6种典型的高维优化测试函数进行实验和分析表明，多尺度量子谐振子算法可以快速精确地获得高维函数的全局最优解，同时采用“降频”方法可以提高对具有“高频”成分函数的搜索速度.

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