TY - JOUR A2 - Cho, Hyungjun AU - Bolla, Marianna AU - Elbanna, Ahmed PY - 2015 DA - 2015/12/24 TI - Estimating Parameters of a Probabilistic Heterogeneous Block Model via the EM Algorithm SP - 657965 VL - 2015 AB - We introduce a semiparametric block model for graphs, where the within- and between-cluster edge probabilities are not constants within the blocks but are described by logistic type models, reminiscent of the 50-year-old Rasch model and the newly introduced α-β models. Our purpose is to give a partition of the vertices of an observed graph so that the induced subgraphs and bipartite graphs obey these models, where their strongly interlaced parameters give multiscale evaluation of the vertices at the same time. In this way, a profoundly heterogeneous version of the stochastic block model is built via mixtures of the above submodels, while the parameters are estimated with a special EM iteration. SN - 1687-952X UR - https://doi.org/10.1155/2015/657965 DO - 10.1155/2015/657965 JF - Journal of Probability and Statistics PB - Hindawi Publishing Corporation KW - ER -