The dynamic stochastic topic block model for dynamic networks with textual edges

Marco Corneli (1) , Charles Bouveyron (1, 2) , Pierre Latouche (3) , Fabrice Rossi (4)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 EPIONE - E-Patient : Images, données & mOdèles pour la médeciNe numériquE
3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
4 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)

The present paper develops a probabilistic model to cluster the nodes of a dynamic graph, accounting for the content of textual edges as well as their frequency. Ver-tices are clustered in groups which are homogeneous both in terms of interaction frequency and discussed topics. The dynamic graph is considered stationary on a latent time interval if the proportions of topics discussed between each pair of node groups do not change in time during that interval. A classification variational expectation-maximization (C-VEM) algorithm is adopted to perform inference. A model selection criterion is also derived to select the number of node groups, time clusters and topics. Experiments on simulated data are carried out to assess the proposed methodology. We finally illustrate an application to the Enron dataset.

Mots clés: Dynamic random graph; model based clustering; non homogeneous Poisson process; stochastic block model; topic modeling; latent Dirichlet allocation

Domaines: Statistiques [stat]; Mathématiques [math]

Marco Corneli, Charles Bouveyron, Pierre Latouche, Fabrice Rossi. The dynamic stochastic topic block model for dynamic networks with textual edges. Statistics and Computing, inPress, ⟨10.1007/s11222-018-9832-4⟩. ⟨hal-01621757⟩