Tracking Community Consistency in Dynamic Networks: An Influence-Based Approach

The dynamic network data have become ubiquitous with the rapid development of Internet and smart devices. To effectively manage the involved vertices in networks, it is crucial to track the special community patterns and analyze the relationships among vertices. In this paper, we propose a new method to measure the coherence strength, also referred to as community consistency, of a community over a specific observation period. The measurement of community consistency is especially challenging given the dynamic community structure over time, i.e., vertices can leave their original communities and join new communities. In order to interpret the causes of evolving community structure and model the influence of evolving community structure on community consistency, we introduce an influence propagation process having a causal relation with the community consistency. Specifically, a generative model is proposed to combine the influence propagation and the network topological structure at each time step. The proposed influence-based approach for modeling evolution can be instantiated in a variety of real-world network data. The comprehensive experiments on both synthetic and real-world datasets demonstrate the superiority of the proposed framework in estimating the community consistency. Besides, we conduct a case study to show the effectiveness of the proposed method in real-world applications.

[1]  Ambuj K. Singh,et al.  Mining Heavy Subgraphs in Time-Evolving Networks , 2011, 2011 IEEE 11th International Conference on Data Mining.

[2]  Xin Zheng,et al.  Characterizing and predicting community members from evolutionary and heterogeneous networks , 2008, CIKM '08.

[3]  Michael I. Jordan,et al.  A generalized mean field algorithm for variational inference in exponential families , 2002, UAI.

[4]  Aram Galstyan,et al.  Co-Evolution of Selection and Influence in Social Networks , 2011, AAAI.

[5]  Yizhou Sun,et al.  Integrating community matching and outlier detection for mining evolutionary community outliers , 2012, KDD.

[6]  Huan Liu,et al.  Community evolution in dynamic multi-mode networks , 2008, KDD.

[7]  Yun Chi,et al.  On evolutionary spectral clustering , 2009, TKDD.

[8]  Le Song,et al.  Dynamic mixed membership blockmodel for evolving networks , 2009, ICML '09.

[9]  Deepayan Chakrabarti,et al.  Evolutionary clustering , 2006, KDD '06.

[10]  P. Rousseeuw Silhouettes: a graphical aid to the interpretation and validation of cluster analysis , 1987 .

[11]  Philip S. Yu,et al.  On Influential Node Discovery in Dynamic Social Networks , 2012, SDM.

[12]  Jure Leskovec,et al.  Empirical comparison of algorithms for network community detection , 2010, WWW '10.

[13]  Eric P. Xing,et al.  Seeking The Truly Correlated Topic Posterior - on tight approximate inference of logistic-normal admixture model , 2007, AISTATS.

[14]  Jie Tang,et al.  Influence Maximization in Dynamic Social Networks , 2013, 2013 IEEE 13th International Conference on Data Mining.

[15]  Éva Tardos,et al.  Maximizing the Spread of Influence through a Social Network , 2015, Theory Comput..

[16]  Theodoros A. Tsiftsis,et al.  Hierarchical Resource Allocation Framework for Hyper-Dense Small Cell Networks , 2016, IEEE Access.

[17]  A. Barabasi,et al.  Quantifying social group evolution , 2007, Nature.

[18]  M. Kendall A NEW MEASURE OF RANK CORRELATION , 1938 .

[19]  Alex Pentland,et al.  Sensing the "Health State" of a Community , 2012, IEEE Pervasive Computing.

[20]  Yasir Mehmood,et al.  CSI: Community-Level Social Influence Analysis , 2013, ECML/PKDD.

[21]  Balachander Krishnamurthy,et al.  Privacy in dynamic social networks , 2010, WWW '10.

[22]  B Skyrms,et al.  A dynamic model of social network formation. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Aidong Zhang,et al.  Tracking Temporal Community Strength in Dynamic Networks , 2015, IEEE Transactions on Knowledge and Data Engineering.

[24]  Yuan Zhang,et al.  Influence based analysis of community consistency in dynamic networks , 2016, 2016 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM).

[25]  Aidong Zhang,et al.  Analysis on Community Variational Trend in Dynamic Networks , 2014, CIKM.

[26]  Osmar R. Zaïane,et al.  Community evolution prediction in dynamic social networks , 2014, 2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014).

[27]  Qihui Wu,et al.  Demand‐aware resource allocation for ultra‐dense small cell networks: an interference‐separation clustering‐based solution , 2016, Trans. Emerg. Telecommun. Technol..

[28]  M E J Newman,et al.  Modularity and community structure in networks. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[29]  E. Xing,et al.  A state-space mixed membership blockmodel for dynamic network tomography , 2008, 0901.0135.

[30]  M E J Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Przemyslaw Kazienko,et al.  Different approaches to community evolution prediction in blogosphere , 2013, 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2013).

[32]  Yun Chi,et al.  Analyzing communities and their evolutions in dynamic social networks , 2009, TKDD.

[33]  H. Sebastian Seung,et al.  Algorithms for Non-negative Matrix Factorization , 2000, NIPS.

[34]  Yongjin Park,et al.  How networks change with time , 2012, Bioinform..

[35]  Amr Ahmed,et al.  Recovering time-varying networks of dependencies in social and biological studies , 2009, Proceedings of the National Academy of Sciences.

[36]  Christos Faloutsos,et al.  Netprobe: a fast and scalable system for fraud detection in online auction networks , 2007, WWW '07.