Title
Link community detection through global optimization and the inverse resolution limit of partition density.
Abstract
Finding overlapping communities of complex networks remains a challenge in network science. To address this challenge, one of the widely used approaches is finding the communities of links by optimizing the objective function, partition density. In this study, we show that partition density suffers from inverse resolution limit; it has a strong preference to triangles. This resolution limit makes partition density an improper objective function for global optimization. The conditions where partition density prefers triangles to larger link community structures are analytically derived and confirmed with global optimization calculations using synthetic and real-world networks. To overcome this limitation of partition density, we suggest an alternative measure, Link Surprise, to find link communities, which is suitable for global optimization. Benchmark studies demonstrate that global optimization of Link Surprise yields meaningful and more accurate link community structures than partition density optimization.
Year
Venue
Field
2016
Scientific Reports
Network science,Mathematical optimization,Global optimization,Complex network,Surprise,Partition (number theory),Mathematics,Inverse resolution
DocType
Volume
Citations 
Journal
abs/1601.05100
0
PageRank 
References 
Authors
0.34
12
5
Name
Order
Citations
PageRank
Juyong Lee1353.50
Zhong-Yuan Zhang2142.95
Jooyoung Lee357346.13
Bernard R. Brooks458681.32
Yong-Yeol Ahn52124138.24