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Separated and overlapping community detection in complex networks using multiobjective Evolutionary Algorithms

机译:使用多目标进化算法的复杂网络中分离和重叠社区检测

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Both separated and overlapping communities are useful to analyze real networks in different situations. However, to the best of our knowledge, existing community detection methods based on Evolutionary Algorithms (EAs) can detect separate communities only. This is because it is difficult to represent overlapping communities in ways that are suitable for EAs. In this paper, we first design a representation method that can represent each individual as both separated and overlapping communities without assigning the number of communities in advance. We then design three objective functions to guide the evolutionary process in different conditions. Finally, based on the designed representation and objective functions, we propose a multiobjective evolutionary algorithm to solve CDPs (MEA_CDPs) under the framework of NSGA-II. In the experiments, 4 well-known real-life benchmark networks are used to validate the performance of MEA_CDPs, and the results shown that MEA_CDPs not only can find high quality communities, but also can detect both separated and overlapping communities at the same time, and present multiple types of communities. Moreover, the overlapping nodes identified by MEA_CDPs are really ambiguous according to their edge distributes in different communities. This illustrates the effectiveness of the objective functions we designed.
机译:分离的社区和重叠的社区都可用于分析不同情况下的真实网络。但是,据我们所知,现有的基于进化算法(EA)的社区检测方法只能检测单独的社区。这是因为很难以适合EA的方式来表示重叠的社区。在本文中,我们首先设计一种表示方法,该方法可以将每个人都表示为分离的社区和重叠的社区,而无需事先分配社区的数量。然后,我们设计三个目标函数来指导不同条件下的进化过程。最后,基于设计的表示和目标函数,提出了一种在NSGA-II框架下求解CDP(MEA_CDPs)的多目标进化算法。在实验中,使用4个著名的现实基准网络来验证MEA_CDP的性能,结果表明MEA_CDP不仅可以找到高质量的社区,而且可以同时检测分离和重叠的社区,并呈现多种类型的社区。此外,根据MEA_CDP所标识的重叠节点,根据它们在不同社区中的边缘分布,它们实际上是不明确的。这说明了我们设计的目标功能的有效性。

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