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arXiv 1703.06263cs.NE
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进化算法中坐标系自适应调整框架

An Adaptive Framework to Tune the Coordinate Systems in Evolutionary Algorithms

Zhi-Zhong Liu, Yong Wang, Shengxiang Yang, Ke Tang

摘要:

在演化计算研究领域中,大多数进化算法的性能在很大程度上依赖于它们所采用的坐标系。然而,常用的坐标系是固定的,不适合不同的功能景观,EA因此可能无法有效地搜索。为了克服这一缺点,在本文中,我们提出了一个框架,名为ACoS,自适应调整的坐标系EA。在ACoS中,本征坐标系的建立,利用累积的人口分布信息,可以得到的基础上的协方差矩阵自适应策略和额外的存档机制。由于人口分布信息能在一定程度上反映功能景观的特征,因此本征坐标系下的进化分析具有识别功能景观形态的能力。此外,本征坐标系与原始坐标系耦合,并根据概率向量选择它们。概率向量的目的是确定每个坐标系对每个个体的选择比率,并且基于从后代收集的信息自适应地更新。ACoS已经应用于两个最流行的EA范例,即,粒子群优化(PSO)和差分进化(DE),在2014年IEEE演化计算大会上解决了30和50维的30个测试函数。实验研究证明了其有效性。

英文摘要:

In the evolutionary computation research community, the performance of most evolutionary algorithms (EAs) depends strongly on their implemented coordinate system. However, the commonly used coordinate system is fixed and not well suited for different function landscapes, EAs thus might not search efficiently. To overcome this shortcoming, in this paper we propose a framework, named ACoS, to adaptively tune the coordinate systems in EAs. In ACoS, an Eigen coordinate system is established by making use of the cumulative population distribution information, which can be obtained based on a covariance matrix adaptation strategy and an additional archiving mechanism. Since the population distribution information can reflect the features of the function landscape to some extent, EAs in the Eigen coordinate system have the capability to identify the modality of the function landscape. In addition, the Eigen coordinate system is coupled with the original coordinate system, and they are selected according to a probability vector. The probability vector aims to determine the selection ratio of each coordinate system for each individual, and is adaptively updated based on the collected information from the offspring. ACoS has been applied to two of the most popular EA paradigms, i.e., particle swarm optimization (PSO) and differential evolution (DE), for solving 30 test functions with 30 and 50 dimensions at the 2014 IEEE Congress on Evolutionary Computation. The experimental studies demonstrate its effectiveness.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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