Co-Evolution of Multi-Typed Objects in Dynamic Star Networks

Mining network evolution has emerged as an intriguing research topic in many domains such as data mining, social networks, and machine learning. While a bulk of research has focused on mining evolutionary patterns of homogeneous networks (e.g., networks of friends), however, most real-world networks are heterogeneous, containing objects of different types, such as authors, papers, venues, and terms in a bibliographic network. Modeling co-evolution of multityped objects can capture richer information than that on single-typed objects alone. For example, studying co-evolution of authors, venues, and terms in a bibliographic network can tell better the evolution of research areas than just examining co-author network or term network alone. In this paper, we study mining co-evolution of multityped objects in a special type of heterogeneous networks, called star networks, and examine how the multityped objects influence each other in the network evolution. A hierarchical Dirichlet process mixture model-based evolution model is proposed, which detects the co-evolution of multityped objects in the form of multityped cluster evolution in dynamic star networks. An efficient inference algorithm is provided to learn the proposed model. Experiments on several real networks (DBLP, Twitter, and Delicious) validate the effectiveness of the model and the scalability of the algorithm.

[1]  M. Newman,et al.  Finding community structure in networks using the eigenvectors of matrices. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Eric P. Xing,et al.  Dynamic Non-Parametric Mixture Models and the Recurrent Chinese Restaurant Process: with Applications to Evolutionary Clustering , 2008, SDM.

[3]  Philip S. Yu,et al.  Evolutionary Clustering by Hierarchical Dirichlet Process with Hidden Markov State , 2008, 2008 Eighth IEEE International Conference on Data Mining.

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

[5]  Yun Chi,et al.  Evolutionary spectral clustering by incorporating temporal smoothness , 2007, KDD '07.

[6]  Rynson W. H. Lau,et al.  Knowledge and Data Engineering for e-Learning Special Issue of IEEE Transactions on Knowledge and Data Engineering , 2008 .

[7]  Emin Orhan Dirichlet Processes , 2012 .

[8]  Yizhou Sun,et al.  Ranking-based clustering of heterogeneous information networks with star network schema , 2009, KDD.

[9]  Ramesh Nallapati,et al.  Joint latent topic models for text and citations , 2008, KDD.

[10]  Jian Pei,et al.  Detecting topic evolution in scientific literature: how can citations help? , 2009, CIKM.

[11]  Tom A. B. Snijders,et al.  Markov Chain Monte Carlo Estimation of Exponential Random Graph Models , 2002, J. Soc. Struct..

[12]  Srinivasan Parthasarathy,et al.  An event-based framework for characterizing the evolutionary behavior of interaction graphs , 2007, KDD '07.

[13]  Jimeng Sun,et al.  MetaFac: community discovery via relational hypergraph factorization , 2009, KDD.

[14]  Peter D. Hoff,et al.  Latent Space Approaches to Social Network Analysis , 2002 .

[15]  Michael I. Jordan,et al.  Hierarchical Dirichlet Processes , 2006 .

[16]  Naonori Ueda,et al.  Dynamic Infinite Relational Model for Time-varying Relational Data Analysis , 2010, NIPS.

[17]  Jianwen Zhang,et al.  Evolutionary hierarchical dirichlet processes for multiple correlated time-varying corpora , 2010, KDD.

[18]  Jiawei Han,et al.  A Particle-and-Density Based Evolutionary Clustering Method for Dynamic Networks , 2009, Proc. VLDB Endow..

[19]  Philip S. Yu,et al.  Dirichlet Process Based Evolutionary Clustering , 2008, 2008 Eighth IEEE International Conference on Data Mining.

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

[21]  ChengXiang Zhai,et al.  Discovering evolutionary theme patterns from text: an exploration of temporal text mining , 2005, KDD '05.

[22]  CHENGXIANG ZHAI,et al.  A study of smoothing methods for language models applied to information retrieval , 2004, TOIS.

[23]  John D. Lafferty,et al.  Dynamic topic models , 2006, ICML.

[24]  Padhraic Smyth,et al.  A Spectral Clustering Approach To Finding Communities in Graph , 2005, SDM.

[25]  J. Lafferty,et al.  Time-Sensitive Dirichlet Process Mixture Models , 2005 .

[26]  Joydeep Ghosh,et al.  Cluster Ensembles --- A Knowledge Reuse Framework for Combining Multiple Partitions , 2002, J. Mach. Learn. Res..

[27]  A. Raftery,et al.  Model‐based clustering for social networks , 2007 .

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

[29]  Ulrike von Luxburg,et al.  A tutorial on spectral clustering , 2007, Stat. Comput..

[30]  Radford M. Neal Markov Chain Sampling Methods for Dirichlet Process Mixture Models , 2000 .

[31]  A. Moore,et al.  Dynamic social network analysis using latent space models , 2005, SKDD.

[32]  David B. Dunson,et al.  The dynamic hierarchical Dirichlet process , 2008, ICML '08.

[33]  Bo Zhao,et al.  Community evolution detection in dynamic heterogeneous information networks , 2010, MLG '10.

[34]  Edoardo M. Airoldi,et al.  Mixed Membership Stochastic Blockmodels , 2007, NIPS.