Partial Recovery Bounds for the Sparse Stochastic Block Model

—In this paper, we study the information-theoretic limits of community detection in the symmetric two-community stochastic block model, with intra-community and intercommunity edge probabilities a n and b n respectively. We consider the sparse setting, in which a and b do not scale with n, and provide upper and lower bounds on the proportion of community labels recovered on average. We provide a numerical example for which the bounds are near-matching for moderate values of a−b, and matching in the limit as a − b grows large.

• Type: Journal
• Year: 2016
• Where: CORR
• Authors: Jonathan Scarlett, Volkan Cevher
• Keywords: CORR 2016, Education