Variational Inference for Stochastic Block Models From Sampled Data

• 成果类型: Article
• 署名作者: Tabouy, Tinnothee; Barbillon, Pierre; Chiquet, Julien
• 署名单位: AgroParisTech; Universite Paris Saclay; INRAE
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1080/01621459.2018.1562934
• 发表日期: 2020
• 页码: 455-466
• 关键词: maximum-likelihood; Mixture Model; networks; blockmodels; prediction; graphs

摘要

This article deals with nonobserved dyads during the sampling of a network and consecutive issues in the inference of the stochastic block model (SBM). We review sampling designs and recover missing at random (MAR) and not missing at random (NMAR) conditions for the SBM. We introduce variants of the variational EM algorithm for inferring the SBM under various sampling designs (MAR and NMAR) all available as an R package. Model selection criteria based on integrated classification likelihood are derived for selecting both the number of blocks and the sampling design. We investigate the accuracy and the range of applicability of these algorithms with simulations. We explore two real-world networks from ethnology (seed circulation network) and biology (protein-protein interaction network), where the interpretations considerably depend on the sampling designs considered. for this article are available online.