A stochastic block model approach for the analysis of multilevel networks: An application to the sociology of organizations

[1]  Mark E. J. Newman,et al.  Stochastic blockmodels and community structure in networks , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Mason A. Porter,et al.  Multilayer networks , 2013, J. Complex Networks.

[3]  Xiaoran Yan,et al.  Bayesian model selection of stochastic block models , 2016, 2016 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM).

[4]  P. Latouche,et al.  Model selection and clustering in stochastic block models based on the exact integrated complete data likelihood , 2015 .

[5]  Francesco Bartolucci,et al.  Dealing with reciprocity in dynamic stochastic block models , 2018, Comput. Stat. Data Anal..

[6]  Emmanuel Lazega,et al.  Interdependent entrepreneurs and the social discipline of their cooperation: a research programme for structural economic sociology in a society of organizations: Markets, Networks and Hierarchies , 2002 .

[7]  Alain Celisse,et al.  Consistency of maximum-likelihood and variational estimators in the Stochastic Block Model , 2011, 1105.3288.

[8]  T. Snijders,et al.  Estimation and Prediction for Stochastic Blockmodels for Graphs with Latent Block Structure , 1997 .

[9]  Ales Ziberna,et al.  K-means-based Algorithm for Blockmodeling Linked Networks , 2020, Soc. Networks.

[10]  Peng Wang,et al.  Exponential random graph models for multilevel networks , 2013, Soc. Networks.

[11]  Dane Taylor,et al.  Clustering Network Layers with the Strata Multilayer Stochastic Block Model , 2015, IEEE Transactions on Network Science and Engineering.

[12]  Giancarlo Ragozini,et al.  Analyzing multiplex networks using factorial methods , 2019, Soc. Networks.

[13]  E. Lazega,et al.  Stochastic block models for multiplex networks: an application to a multilevel network of researchers , 2017 .

[14]  D. Rubin INFERENCE AND MISSING DATA , 1975 .

[15]  Julien Brailly Dynamics of networks in trade fairs—A multilevel relational approach to the cooperation among competitors , 2016 .

[16]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[17]  Marijtje A. J. van Duijn,et al.  The Multilevel p2 Model , 2006 .

[18]  M. Lubell,et al.  The network structure of multilevel water resources governance in Central America , 2018 .

[19]  M. Newman,et al.  Hierarchical structure and the prediction of missing links in networks , 2008, Nature.

[20]  Michael I. Jordan,et al.  An Introduction to Variational Methods for Graphical Models , 1999, Machine Learning.

[21]  E. Lazega,et al.  Inter-organizational network influence on long term and short term inter-individual relationships: The Case of a Trade Fair for TV Programs Distribution in Sub-Saharan Africa , 2016 .

[22]  Aleš Žiberna,et al.  Blockmodeling Linked Networks , 2019 .

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

[24]  Pierre Barbillon,et al.  Variational Inference for Stochastic Block Models From Sampled Data , 2017, Journal of the American Statistical Association.

[25]  Roger Guimerà,et al.  Missing and spurious interactions and the reconstruction of complex networks , 2009, Proceedings of the National Academy of Sciences.

[26]  Emmanuel Lazega,et al.  The structural wings of Matthew effects: The contribution of three-level network data to the analysis of cumulative advantage , 2016 .

[27]  Cristopher Moore,et al.  Community detection, link prediction, and layer interdependence in multilayer networks , 2017, Physical review. E.

[28]  Brian W. Junker,et al.  Hierarchical Network Models for Education Research , 2013 .

[29]  David M. Blei,et al.  Variational Inference: A Review for Statisticians , 2016, ArXiv.

[30]  Patrick Doreian,et al.  Treating Missing Network Data Before Partitioning , 2019 .

[31]  Tracy M. Sweet 22 Hierarchical Mixed Membership Stochastic Blockmodels for Multiple Networks and Experimental Interventions , 2014 .

[32]  Vincent Miele,et al.  Statistical clustering of temporal networks through a dynamic stochastic block model , 2015, 1506.07464.

[33]  Emmanuel Lazega,et al.  Catching up with big fish in the big pond? Multi-level network analysis through linked design , 2008, Soc. Networks.

[34]  T. Snijders The statistical evaluation of social network dynamics , 2001 .

[35]  Anja Znidarsic,et al.  Non-response in social networks: The impact of different non-response treatments on the stability of blockmodels , 2012, Soc. Networks.

[36]  P. Barbillon,et al.  Block models for generalized multipartite networks: Applications in ecology and ethnobiology , 2020, Statistical Modelling.

[37]  Kathryn B. Laskey,et al.  Stochastic blockmodels: First steps , 1983 .

[38]  Gérard Govaert,et al.  Block clustering with Bernoulli mixture models: Comparison of different approaches , 2008, Comput. Stat. Data Anal..

[39]  Christophe Ambroise,et al.  Variational Bayesian inference and complexity control for stochastic block models , 2009, 0912.2873.

[40]  St'ephane Robin,et al.  Uncovering latent structure in valued graphs: A variational approach , 2010, 1011.1813.

[41]  Pierre Barbillon,et al.  Effects of competition on collective learning in advice networks , 2016, Soc. Networks.

[42]  L. Hubert,et al.  Comparing partitions , 1985 .

[43]  Franck Picard,et al.  A mixture model for random graphs , 2008, Stat. Comput..

[44]  Gérard Govaert,et al.  Assessing a Mixture Model for Clustering with the Integrated Completed Likelihood , 2000, IEEE Trans. Pattern Anal. Mach. Intell..