修剪搜索:一种基于机器学习的约束连续优化元启发式方法

Ruoqian Liu, Ankit Agrawal, W. Liao, A. Choudhary, Zhengzhang Chen
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引用次数: 9

摘要

由于搜索空间无限,寻找优化连续函数的解可能会很困难,并且由于变量数量的高维性和约束结构的复杂性,可能会进一步复杂化。文献中提出了确定性和随机方法,目的是利用搜索空间并尽可能避免局部最优。在本研究中,我们开发了一个机器学习框架,旨在通过开发元启发式来“修剪”两种优化技术的搜索工作,试图明智地重新排序搜索空间并减少搜索区域。数值算例表明,与遗传算法相比,该方法可以有效地找到100、500和1000变维的7个基准问题的全局最优解,显著减少了计算时间。
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Pruned search: A machine learning based meta-heuristic approach for constrained continuous optimization
Searching for solutions that optimize a continuous function can be difficult due to the infinite search space, and can be further complicated by the high dimensionality in the number of variables and complexity in the structure of constraints. Both deterministic and stochastic methods have been presented in the literature with a purpose of exploiting the search space and avoiding local optima as much as possible. In this research, we develop a machine learning framework aiming to `prune' the search effort of both types of optimization techniques by developing meta-heuristics, attempting to knowledgeably reordering the search space and reducing the search region. Numerical examples demonstrate that this approach can effectively find the global optimal solutions and significantly reduce the computational time for seven benchmark problems with variable dimensions of 100, 500 and 1000, compared to Genetic Algorithms.
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