Semi-supervised spectral algorithms for community detection in complex networks based on equivalence of clustering methods

Xiaoke Ma, Bingbo Wang and Liang Yu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 786-802

Abstract: Community detection is fundamental for revealing the structure-functionality relationship in complex networks, which involves two issues—the quantitative function for community as well as algorithms to discover communities. Despite significant research on either of them, few attempt has been made to establish the connection between the two issues. To attack this problem, a generalized quantification function is proposed for community in weighted networks, which provides a framework that unifies several well-known measures. Then, we prove that the trace optimization of the proposed measure is equivalent with the objective functions of algorithms such as nonnegative matrix factorization, kernel K-means as well as spectral clustering. It serves as the theoretical foundation for designing algorithms for community detection. On the second issue, a semi-supervised spectral clustering algorithm is developed by exploring the equivalence relation via combining the nonnegative matrix factorization and spectral clustering. Different from the traditional semi-supervised algorithms, the partial supervision is integrated into the objective of the spectral algorithm. Finally, through extensive experiments on both artificial and real world networks, we demonstrate that the proposed method improves the accuracy of the traditional spectral algorithms in community detection.

Keywords: Complex networks; Community structure; Spectral clustering; Nonnegative matrix factorization (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:786-802

DOI: 10.1016/j.physa.2017.08.116

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