论文标题
可扩展的多级和模因签名的图形集群
Scalable Multilevel and Memetic Signed Graph Clustering
论文作者
论文摘要
在这项研究中,我们解决了符号图中图形聚类的复杂问题,这些问题的特征是分别代表节点之间吸引力和排斥的正加权边缘。主要目的是有效地将图形分配到簇中,以确保群集中的节点与正边缘紧密相连,同时最大程度地减少它们之间的负边连接。为了应对这一挑战,我们首先根据标签传播和FM本地搜索开发可扩展的多级算法。然后,我们开发了一种结合多层策略的模因算法。这种方法精心将进化算法的要素与局部改进技术相结合,旨在比重复执行更有效地探索搜索空间。我们的实验分析表明,我们的新算法大大优于现有的最新算法。例如,我们的模因算法可以达到先前最新算法的解决方案质量,最高四个数量级。
In this study, we address the complex issue of graph clustering in signed graphs, which are characterized by positive and negative weighted edges representing attraction and repulsion among nodes, respectively. The primary objective is to efficiently partition the graph into clusters, ensuring that nodes within a cluster are closely linked by positive edges while minimizing negative edge connections between them. To tackle this challenge, we first develop a scalable multilevel algorithm based on label propagation and FM local search. Then we develop a memetic algorithm that incorporates a multilevel strategy. This approach meticulously combines elements of evolutionary algorithms with local refinement techniques, aiming to explore the search space more effectively than repeated executions. Our experimental analysis reveals that this our new algorithms significantly outperforms existing state-of-the-art algorithms. For example, our memetic algorithm can reach solution quality of the previous state-of-the-art algorithm up to four orders of magnitude faster.