BSU Seminar: “Exchangeable Random Measures for Sparse and Modular Graphs with Overlapping Communities”

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• Prof. François Caron, University of Oxford
• Thursday 26 April 2018, 14:30-15:30
• Large Seminar Room, 1st Floor, Institute of Public Health, University Forvie Site, Robinson Way, Cambridge.

If you have a question about this talk, please contact Alison Quenault.

In this talk I will describe a novel statistical model for sparse networks with overlapping community Structure and heavy tailed degree distributions. The model is based on representing the graph as an exchangeable point process, and naturally generalizes existing probabilistic models with overlapping block-structure to the sparse regime. Our construction builds on vectors of completely random measures, and has interpretable parameters, each node being assigned a vector representing its level of affiliation to some latent communities. We develop methods for simulating this class of random graphs, as well as to perform posterior inference. We show that the proposed approach can recover interpretable structure from two real-world networks and can handle graphs with thousands of nodes and tens of thousands of edges.

This talk is part of the MRC Biostatistics Unit Seminars series.

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