Siew Li Tan

  1. Variational inference for generalized linear mixed models using partially non-centered parametrizations.

    Authors: David J. Nott, Siew Li Tan
    Subjects: Computation
    Abstract

    The effects of different parametrizations on the convergence of Bayesian
    computational algorithms for hierarchical models are well explored. In
    particular, techniques such as centered parametrization (CP), non-centered
    parametrization (NCP) and partially non-centered parametrization (PNCP) can be
    used to accelerate convergence in MCMC and EM algorithms. These ideas are not
    well studied, however, for variational Bayes (VB) methods.

  2. Variational approximation for mixtures of linear mixed models.

    Authors: David J. Nott, Siew Li Tan
    Subjects: Applications
    Abstract

    Mixtures of linear mixed models (MLMMs) are useful for clustering grouped
    data in applications such as gene expression time course experiments. These
    models can be estimated by likelihood maximization through the EM algorithm and
    the optimal number of components determined by comparing different mixture
    models using penalized log-likelihood criteria such as BIC. In this paper, we
    propose fitting MLMMs with variational methods which can perform parameter
    estimation and model selection simultaneously.

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