Exploring the roles of cannot-link constraint in community detection via Multi-variance Mixed Gaussian Generative Model

Citation

Yang, Liang; Ge, Meng; He, Dongxiao; Fu, Huazhu; Wang, Jing; & Cao, Xiaochun (2017). Exploring the roles of cannot-link constraint in community detection via Multi-variance Mixed Gaussian Generative Model. PLOS ONE. vol. 12 (7) pp. e0178029

Abstract

Due to the demand for performance improvement and the existence of prior information, semi-supervised community detection with pairwise constraints becomes a hot topic. Most existing methods have been successfully encoding the must-link constraints, but neglect the opposite ones, i.e., the cannot-link constraints, which can force the exclusion between nodes. In this paper, we are interested in understanding the role of cannot-link constraints and effectively encoding pairwise constraints. Towards these goals, we define an integral generative process jointly considering the network topology, must-link and cannot-link constraints. We propose to characterize this process as a Multi-variance Mixed Gaussian Generative (MMGG) Model to address diverse degrees of confidences that exist in network topology and pairwise constraints and formulate it as a weighted nonnegative matrix factorization problem. The experiments on artificial and real-world networks not only illustrate the superiority of our proposed MMGG, but also, most importantly, reveal the roles of pairwise constraints. That is, though the must-link is more important than cannot-link when either of them is available, both must-link and cannot-link are equally important when both of them are available. To the best of our knowledge, this is the first work on discovering and exploring the importance of cannot-link constraints in semi-supervised community detection.

URL

https://doi.org/10.1371/journal.pone.0178029

Keyword(s)

social networks

Reference Type

Journal Article

Journal Title

PLOS ONE

Author(s)

Yang, Liang
Ge, Meng
He, Dongxiao
Fu, Huazhu
Wang, Jing
Cao, Xiaochun

Year Published

2017

Volume Number

12

Issue Number

7

Pages

e0178029

DOI

10.1371/journal.pone.0178029

Reference ID

9270