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A Statistical Model for Social Network Labeling

Bibliographic Data

ID19418921
AuthorsDanyang Huang (0000-0002-4053-2680, Renmin University of China), Jun Yin (0000-0002-2009-6068, Peking University), Tao Shi (0000-0003-1907-3552, The Ohio State University), Hansheng Wang (0000-0003-2386-0209, Peking University)
Year2016
Volume34
Issue3
Pages368-374
Publication date2016-07-02
Open AccessNo
TypeARTICLE
VenueJournal of Business and Economic Statistics (JOURNAL)
Journal identifiersISSN: 0735-0015 • E-ISSN: 1537-2707
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1080/07350015.2015.1039014
OpenAlexW2407556697
LanguageEN
References cited14

We consider a social network from which one observes not only network structure (i.e., nodes and edges) but also a set of labels (or tags, keywords) for each node (or user). These labels are self-created and closely related to the user’s career status, life style, personal interests, and many others. Thus, they are of great interest for online marketing. To model their joint behavior with network structure, a complete data model is developed. The model is based on the classical p1 model but allows the reciprocation parameter to be label-dependent. By focusing on connected pairs only, the complete data model can be generalized into a conditional model. Compared with the complete data model, the conditional model specifies only the conditional likelihood for the connected pairs. As a result, it suffers less risk from model misspecification. Furthermore, because the conditional model involves connected pairs only, the computational cost is much lower. The resulting estimator is consistent and asymptotically normal. Depending on the network sparsity level, the convergence rate could be different. To demonstrate its finite sample performance, numerical studies (based on both simulated and real datasets) are presented

Data set · Estimator · Mathematical optimization · Network model · Rate of convergence · Social media · Statistical model · Statistics · Bayesian Methods and Mixture Models · Complex Network Analysis Techniques · Computer Science · Mathematics · Statistical Methods and Inference · Artificial Intelligence

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Highly citedNo

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