Link prediction in temporal networks: Integrating survival analysis and game theory

Abstract Link prediction is an important task in complex network analysis and can be found in many real-world applications such as recommendation systems, information retrieval, and marketing analysis of social networks. This paper focuses on studying the evolution mechanism of real-world temporal networks. Specifically, given a set of temporal links during a fixed time window, how to predict the existence of links at any point in the future. To address this problem, we propose a novel semi-supervised learning framework, which integrates both survival analysis and game theory. First, we carefully define the ϵ-adjacent network sequence, and make use of time stamp on each link to generate the baseline network evolution sequence. Next, to capture the law of network evolution, we employ the Cox Proportional Hazard Model (Cox PHM) to study the relative hazard associated with each temporal link, so as to estimate the coefficients of covariates, which are defined as a set of neighborhood based proximity features. To narrow the area of inquiry, we further propose a game theory based two-way selection mechanism to predict the future network topology. We finally encapsulate these two new technologies in a robust Autonomy-Oriented-Computing (AOC) multi-agent system, and propose a paralleled algorithm to conduct the temporal link prediction task. Extensive experiments were applied to real-world temporal networks to demonstrate both effectiveness and scalability of the proposed approach.

[1]  Nicola Barbieri,et al.  Who to follow and why: link prediction with explanations , 2014, KDD.

[2]  Bin Li,et al.  Sampling-based algorithm for link prediction in temporal networks , 2016, Inf. Sci..

[3]  Ling Chen,et al.  An efficient algorithm for link prediction in temporal uncertain social networks , 2016, Inf. Sci..

[4]  Srinivasan Parthasarathy,et al.  Local Probabilistic Models for Link Prediction , 2007, Seventh IEEE International Conference on Data Mining (ICDM 2007).

[5]  W. Art Chaovalitwongse,et al.  A Network Structural Approach to the Link Prediction Problem , 2015, INFORMS J. Comput..

[6]  Jie Cao,et al.  GLEAM: a graph clustering framework based on potential game optimization for large-scale social networks , 2017, Knowledge and Information Systems.

[7]  Ronald Rousseau,et al.  This item is the archived peer-reviewed author-version of: Recommending research collaborations using link prediction and random forest classifiers , 2022 .

[8]  J. Nash NON-COOPERATIVE GAMES , 1951, Classics in Game Theory.

[9]  Jie Cao,et al.  Dynamic Cluster Formation Game for Attributed Graph Clustering , 2019, IEEE Transactions on Cybernetics.

[10]  Eric van Damme,et al.  Non-Cooperative Games , 2000 .

[11]  Erkki Oja,et al.  Clustering by Nonnegative Matrix Factorization Using Graph Random Walk , 2012, NIPS.

[12]  Ludovic Denoyer,et al.  Temporal link prediction by integrating content and structure information , 2011, CIKM '11.

[13]  Jennifer Neville,et al.  Temporal-Relational Classifiers for Prediction in Evolving Domains , 2008, 2008 Eighth IEEE International Conference on Data Mining.

[14]  Lyle H. Ungar,et al.  Statistical Relational Learning for Link Prediction , 2003 .

[15]  Linyuan Lü,et al.  Predicting missing links via local information , 2009, 0901.0553.

[16]  E. Xing,et al.  Discrete Temporal Models of Social Networks , 2006, SNA@ICML.

[17]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[18]  Zhan Bu,et al.  Local Community Mining on Distributed and Dynamic Networks From a Multiagent Perspective , 2016, IEEE Transactions on Cybernetics.

[19]  Jari Saramäki,et al.  Temporal Networks , 2011, Encyclopedia of Social Network Analysis and Mining.

[20]  Wei Chu,et al.  Stochastic Relational Models for Discriminative Link Prediction , 2006, NIPS.

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

[22]  Sanjeev Kumar Sharma,et al.  Survey and analysis of temporal link prediction in online social networks , 2013, 2013 International Conference on Advances in Computing, Communications and Informatics (ICACCI).

[23]  Srikanta J. Bedathur,et al.  Towards time-aware link prediction in evolving social networks , 2009, SNA-KDD '09.

[24]  Aram Galstyan,et al.  Scalable Temporal Latent Space Inference for Link Prediction in Dynamic Social Networks (Extended Abstract) , 2017, 2017 IEEE 33rd International Conference on Data Engineering (ICDE).

[25]  Jie Cao,et al.  Detecting Prosumer-Community Groups in Smart Grids From the Multiagent Perspective , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[26]  Ling Chen,et al.  Projection-based link prediction in a bipartite network , 2017, Inf. Sci..

[27]  Albert-László Barabási,et al.  Hierarchical organization in complex networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Linyuan Lu,et al.  Link Prediction in Complex Networks: A Survey , 2010, ArXiv.

[29]  Albert-László Barabási,et al.  Scale-Free Networks: A Decade and Beyond , 2009, Science.

[30]  Jie Cao,et al.  CAMAS: A cluster-aware multiagent system for attributed graph clustering , 2017, Inf. Fusion.

[31]  L. J. Wei,et al.  The Robust Inference for the Cox Proportional Hazards Model , 1989 .

[32]  Jure Leskovec,et al.  Motifs in Temporal Networks , 2016, WSDM.

[33]  Kimmo Kaski,et al.  Multi-layer weighted social network model , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Eric P. Xing,et al.  A Scalable Approach to Probabilistic Latent Space Inference of Large-Scale Networks , 2013, NIPS.

[35]  Olivia R. Liu Sheng,et al.  A Survey of Link Recommendation for Social Networks , 2015, ACM Trans. Manag. Inf. Syst..

[36]  Ryan A. Rossi,et al.  Time-Evolving Relational Classification and Ensemble Methods , 2012, PAKDD.

[37]  Boleslaw K. Szymanski,et al.  LabelRankT: incremental community detection in dynamic networks via label propagation , 2013, DyNetMM '13.

[38]  Rupert G. Miller,et al.  Survival Analysis , 2022, The SAGE Encyclopedia of Research Design.

[39]  Padhraic Smyth,et al.  Prediction and ranking algorithms for event-based network data , 2005, SKDD.

[40]  David Liben-Nowell,et al.  The link-prediction problem for social networks , 2007 .

[41]  Qi Zhao,et al.  LPI-ETSLP: lncRNA-protein interaction prediction using eigenvalue transformation-based semi-supervised link prediction. , 2017, Molecular bioSystems.

[42]  Aihua Li,et al.  Graph K-means Based on Leader Identification, Dynamic Game, and Opinion Dynamics , 2020, IEEE Transactions on Knowledge and Data Engineering.

[43]  Fernando Berzal Galiano,et al.  A Survey of Link Prediction in Complex Networks , 2016, ACM Comput. Surv..