Alberto Caimo

  1. Bayesian model selection for exponential random graph models.

    Authors: Nial Friel, Alberto Caimo
    Subjects: Computation
    Abstract

    Exponential random graph models are a class of widely used exponential family
    models for social networks. The topological structure of an observed network is
    modeled by the relative prevalence of a set of local sub-graph configurations
    termed network statistics. One of the key tasks in the application of these
    models is which network statistics to include in the model. This can be thought
    of as statistical model selection problem.

  2. Bayesian inference for exponential random graph models.

    Authors: Nial Friel, Alberto Caimo
    Subjects: Applications
    Abstract

    Exponential random graph models are extremely difficult models to handle from
    a statistical viewpoint, since their normalising constant, which depends on
    model parameters, is available only in very trivial cases. We show how
    inference can be carried out in a Bayesian framework using a MCMC algorithm,
    which circumvents the need to calculate the normalising constants. We use a
    population MCMC approach which accelerates convergence and improves mixing of
    the Markov chain.

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