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arXiv 2102.11693cs.NEcs.AI
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大规模优化问题的多空间进化搜索

Multi-Space Evolutionary Search for Large-Scale Optimization

Chongqing University(重庆大学);Dalian University of Technology(大连理工大学);City University of Hong Kong(香港城市大学);City University of Hong Kong Shenzhen Research Institute(香港城市大学深圳研究院);Nanyang Technological University(南洋理工大学)

Liang Feng, Qingxia Shang, Yaqing Hou, Kay Chen Tan, Yew-Soon Ong

摘要:

近年来,为了改进用于解决涉及大量决策变量的优化问题的进化算法,已经进行了许多尝试来简化用于进化搜索的给定问题的问题解空间。在文献中,现有的方法通常可以分为基于分解的方法和基于降维的方法。前者将一个大规模问题分解成几个较小的子问题,而后者则将原来的高维解空间转化为低维空间。然而,值得注意的是,给定的大规模优化问题可能并不总是可分解的,并且也难以保证在降低的低维问题空间中保持原问题的全局最优。因此,本文提出了一种新的搜索范式,即多空间进化搜索,以加强现有的进化搜索方法解决大规模优化问题。与现有的在单个搜索空间中进行进化搜索的方法相比,所提出的范例被设计为在来自给定问题的多个解空间中进行搜索,每个解空间具有独特的景观。所提出的范例没有假设的大规模优化问题的利益,如问题是可分解的或存在一定的关系,决策变量之间。为了验证所提出的范例的有效性,使用CEC 2013大规模基准问题进行了全面的实证研究,与四种最先进的算法进行了比较。

英文摘要:

In recent years, to improve the evolutionary algorithms used to solve optimization problems involving a large number of decision variables, many attempts have been made to simplify the problem solution space of a given problem for the evolutionary search. In the literature, the existing approaches can generally be categorized as decomposition-based methods and dimension-reduction-based methods. The former decomposes a large-scale problem into several smaller subproblems, while the latter transforms the original high-dimensional solution space into a low-dimensional space. However, it is worth noting that a given large-scale optimization problem may not always be decomposable, and it is also difficult to guarantee that the global optimum of the original problem is preserved in the reduced low-dimensional problem space. This paper thus proposes a new search paradigm, namely the multi-space evolutionary search, to enhance the existing evolutionary search methods for solving large-scale optimization problems. In contrast to existing approaches that perform an evolutionary search in a single search space, the proposed paradigm is designed to conduct a search in multiple solution spaces that are derived from the given problem, each possessing a unique landscape. The proposed paradigm makes no assumptions about the large-scale optimization problem of interest, such as that the problem is decomposable or that a certain relationship exists among the decision variables. To verify the efficacy of the proposed paradigm, comprehensive empirical studies in comparison to four state-of-the-art algorithms were conducted using the CEC2013 large-scale benchmark problems.

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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