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arXiv 2201.09544physics.soc-phcs.SI
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多级社区的自动检测:可扩展和无分辨率限制

Automatic detection of multilevel communities: scalable and resolution-limit-free

Kun Gao, Xuezao Ren, Lei Zhou, Junfang Zhu

摘要:

社团结构是复杂网络的重要特征之一。基于模块的社区检测方法通常依赖于启发式算法来优化特定的社区质量函数。这种方法受到两个主要缺陷的限制:(1)分辨率限制问题,它禁止同时检测不同大小的社区,以及(2)启发式算法的发散输出,这使得难以区分相关和不相关的结果。本文提出了一种改进的基于可扩展社区适应度函数的社区发现方法。“我们引入了一个新的参数来增强其可扩展性,以及一个严格的策略来过滤输出。由于可扩展性,一方面,我们的方法是免费的分辨率限制的问题,并在大型异构网络上表现出色,而另一方面,它是能够检测更多的社区比以前的方法在深层次的网络。此外,我们的严格策略会自动删除冗余和不相关的结果,而无需任何人工选择。因此,我们的方法只输出稳定和独特的社区,这些社区在很大程度上可以通过关于网络的先验知识来解释,包括合成网络中的植入结构或真实网络的元数据。

英文摘要:

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods are limited by two major defects: (1) the resolution limit problem, which prohibits communities of heterogeneous sizes being simultaneously detected, and (2) divergent outputs of the heuristic algorithm, which make it difficult to differentiate relevant and irrelevant results. In this paper, we propose an improved method for community detection based on a scalable community "fitness function." We introduced a new parameter to enhance its scalability, and a strict strategy to filter the outputs. Due to the scalability, on the one hand our method is free of the resolution limit problem and performs excellently on large heterogeneous networks, while on the other hand it is capable of detecting more levels of communities than previous methods in deep hierarchical networks. Moreover, our strict strategy automatically removes redundant and irrelevant results, without any artificial selection. As a result, our method neatly outputs only the stable and unique communities, which are largely interpretable by the a priori knowledge about the network, including the implanted structures within synthetic networks, or metadata for real-world networks.

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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