Barbier, JeanChan, Chun LamMacris, Nicolas2019-10-272019-10-272019-10-272019-01-0110.1109/ISIT.2019.8849642https://infoscience.epfl.ch/handle/20.500.14299/162387WOS:000489100300082We rigorously derive a single-letter variational expression for the mutual information of the asymmetric two-groups stochastic block model in the dense graph regime. Existing proofs in the literature are indirect, as they involve mapping the model to a rank-one matrix estimation problem whose mutual information is then determined by a combination of methods (e.g., interpolation, cavity, algorithmic, spatial coupling). In this contribution we provide a self-contained direct method using only the recently introduced adaptive interpolation method.Computer Science, Information SystemsComputer Science, Theory & MethodsComputer ScienceMutual Information for the Stochastic Block Model by the Adaptive Interpolation Methodtext::conference output::conference proceedings::conference paper