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Cooperative co-evolutionary algorithms for large-scale optimization

机译:用于大规模优化的协同进化算法

摘要

The aim of this research is to investigate the use of a divide-and-conquer approach for solving continuous large-scale global optimization problems using evolutionary methods. The curse of dimensionality is a major hindrance to the efficient optimization of large-scale problems. Problem decomposition is an intuitive way of improving the scalability of optimization algorithms. However, the black-box nature of many real-world problems makes problem decomposition a difficult task due to the unknown interdependence pattern of the input variables. A good decomposition is one that minimizes the interdependence of the identified subproblems. In this thesis, we propose a differential grouping algorithm which is mathematically derived from the definition of partial separability, and is used to automatically identify independent components of black-box optimization problems with high accuracy. The subproblems formed by differential grouping are then optimized in a round-robin fashion using cooperative co-evolution. The advent of differential grouping makes it possible to estimate the contribution of individual components of a problem towards improving the overall solution quality. This is a precursor to the development of a contribution-based cooperative co-evolution that uses the estimated contribution information to allocate computational resources to components with a dominant effect on the overall solution quality. The existing large-scale benchmark problems confirm the efficacy of both contribution-based cooperative co-evolution as well as differential grouping. However, the shortcomings of existing benchmark problems limit the depth of our investigations on the proposed algorithms. To fill this gap, a set of challenging large-scale problems is proposed for analyzing the reliability and robustness of differential grouping and the contribution-based framework. In the light of the findings based on the new benchmark suite, a parameter-free differential grouping is proposed that outperforms its predecessor on the new and the old benchmark suites. An improved contribution-based framework with a better exploration/exploitation balance is also proposed that outperforms state-of-the-art algorithms on the new large-scale benchmark problems.
机译:这项研究的目的是研究使用分治法来解决进化问题的连续大规模全局优化问题。维数的诅咒是有效优化大规模问题的主要障碍。问题分解是提高优化算法可伸缩性的直观方法。但是,由于输入变量的相互依存关系模式未知,许多实际问题的黑盒性质使问题分解成为一项艰巨的任务。良好的分解是最大程度地减少已识别子问题的相互依赖性的分解。在本文中,我们提出了一种差分分组算法,该算法是从部分可分离性的定义上数学推导的,用于高精度地自动识别黑箱优化问题的独立成分。然后,使用协作协同进化以循环方式优化由差分分组形成的子问题。差异分组的出现使得可以估计问题的各个组成部分对提高整体解决方案质量的贡献。这是基于贡献的协作协进化发展的先驱,该协作协进化使用估计的贡献信息将计算资源分配给对整体解决方案质量起主要作用的组件。现有的大规模基准测试问题证实了基于贡献的合作协同进化以及差分分组的有效性。然而,现有基准问题的缺点限制了我们对所提出算法的研究的深度。为了填补这一空白,提出了一组具有挑战性的大规模问题,用于分析差异分组和基于贡献的框架的可靠性和鲁棒性。根据基于新基准套件的研究结果,提出了无参数差分分组,其在新旧基准套件上的性能均优于其前身。还提出了一种改进的基于贡献的框架,该框架具有更好的勘探/开发平衡,在新的大型基准问题上,该框架优于最新算法。

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    Omidvar M;

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  • 年度 2015
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