missSBM: An R Package for Handling Missing Values in the Stochastic Block Model

The Stochastic Block Model (SBM) is a popular probabilistic model for random graphs. It is commonly used to perform clustering on network data by aggregating nodes that share similar connectivity patterns into blocks. When fitting an SBM to a network which is partially observed, it is important to take into account the underlying process that originates the missing values, otherwise the inference may be biased. This paper introduces missSBM, an R-package fitting the SBM when the network is partially observed, i.e., the adjacency matrix contains not only 1 or 0 encoding presence or absence of edges but also NA encoding missing information between pairs of nodes. It implements a series of algorithms for fitting the binary SBM, possibly in the presence of external covariates, by performing variational inference for several observation processes. Our implementation automatically explores different block numbers to select the most relevant according to the Integrated Classification Likelihood (ICL) criterion. The ICL criterion can also help determine which observation process better corresponds to a given dataset. Finally, missSBM can be used to perform imputation of missing entries in the adjacency matrix. We illustrate the package on a network data set consisting in interactions between political blogs sampled during the French presidential election in 2007.