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SUMMARY:BSU Seminar: “Exchangeable Random Measures for Sparse and Modula
 r Graphs with Overlapping Communities” - Prof. François Caron\, Univers
 ity of Oxford
DTSTART:20180426T133000Z
DTEND:20180426T143000Z
UID:TALK102919@talks.cam.ac.uk
CONTACT:Alison Quenault
DESCRIPTION: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 probabilis
 tic models with overlapping block-structure to the sparse regime. Our cons
 truction builds on vectors of completely random measures\, and has interpr
 etable parameters\, each node being assigned a vector representing its lev
 el of affiliation to some latent communities. We develop methods for simul
 ating this class of random graphs\, as well as to perform posterior infere
 nce. We show that the proposed approach can recover interpretable structur
 e from two real-world networks and can handle graphs with thousands of nod
 es and tens of thousands of edges.
LOCATION:Large Seminar Room\, 1st Floor\, Institute of Public Health\, Uni
 versity Forvie Site\, Robinson Way\, Cambridge
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