Title
Detecting Overlapping Communities from Local Spectral Subspaces
Abstract
Based on the definition of local spectral subspace, we propose a novel approach called LOSP for local overlapping community detection. Using the power method for a few steps, LOSP finds an approximate invariant subspace, which depicts the embedding of the local neighborhood structure around the seeds of interest. LOSP then identifies the local community expanded from the given seeds by seeking a sparse indicator vector in the subspace where the seeds are in its support. We provide a systematic investigation on LOSP, and thoroughly evaluate it on large real world networks across multiple domains. With the prior information of very few seed members, LOSP can detect the remaining members of a target community with high accuracy. Experiments demonstrate that LOSP outperforms the Heat Kernel and PageRank diffusions. Using LOSP as a subroutine, we further address the problem of multiple membership identification, which aims to find all the communities a single vertex belongs to. High F1 scores are achieved in detecting multiple local communities with respect to arbitrary single seed for various large real world networks.
Year
DOI
Venue
2015
10.1109/ICDM.2015.89
IEEE International Conference on DataMining
Keywords
Field
DocType
Community detection,Clustering,Local spectral subspace,Seed set expansion
Data mining,Embedding,Subspace topology,Computer science,Invariant subspace,Linear subspace,Artificial intelligence,Connected component,Indicator vector,Random seed,Machine learning,Power iteration
Journal
Volume
ISSN
Citations 
abs/1509.08065
ICDM 2015
16
PageRank 
References 
Authors
0.61
17
5
Name
Order
Citations
PageRank
Kun He130542.88
Yiwei Sun2160.61
David Bindel342729.24
John Hopcroft442451836.70
Yixuan Li51709.46