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- Clare A. McGrory, D. M. Titterington
- Computational Statistics & Data Analysis
- 2007

Variational methods for model comparison have become popular in the neural computing/machine learning literature. In this paper we explore their application to the Bayesian analysis of mixtures of Gaussians. We also consider how the Deviance Information Criterion, or DIC, devised by Spiegelhalter et al. (2002), can be extended to these types of model by… (More)

- Clare A. McGrory, D. M. Titterington, R. Reeves, Anthony N. Pettitt
- Statistics and Computing
- 2009

Hidden Markov random field models provide an appealing representation of images and other spatial problems. The drawback is that inference is not straightforward for these models as the normalisation constant for the likelihood is generally intractable except for very small observation sets. Variational methods are an emerging tool for Bayesian inference… (More)

- C. A. McGrory
- 2006

The variational approach to Bayesian inference enables simultaneous estimation of model parameters and model complexity. An interesting feature of this approach is that it appears also to lead to an automatic choice of model complexity. Empirical results from the analysis of hidden Markov models with Gaussian observation densities illustrate this. If the… (More)

- Burton Wu, Clare A. McGrory, Anthony N. Pettitt
- Statistics and Computing
- 2012

- Clare A. McGrory, Anthony N. Pettitt, Malcolm J. Faddy
- Computational Statistics & Data Analysis
- 2009

(2009) A fully Bayesian approach to inference for Coxian phase-type distributions with covariate dependent mean. Abstract Phase-type distributions represent the time to absorption for a finite state Markov chain in continuous time, generalising the exponential distribution and providing a flexible and useful modelling tool. We present a new reversible jump… (More)

- M. G. Falk, C. L. Alston, +7 authors K. L. Mengersen
- Environmental and Ecological Statistics
- 2015

From remote sensing of the environment, to brain scans in medicine, the growth in the use of image data has motivated a parallel increase in statistical techniques for analysing these images. A particular area of growth has been in Bayesian models and corresponding computational methods. Bayesian approaches have been proposed to address the gamut of… (More)

- Clare A. McGrory, Anthony N. Pettitt, D. M. Titterington, Clair L. Alston, Matt Kelly
- Computational Statistics & Data Analysis
- 2016

A new transdimensional Sequential Monte Carlo (SMC) algorithm called SMCVB is proposed. In an SMC approach, a weighted sample of particles is generated from a sequence of probability distributions which ‘converge’ to the target distribution of interest, in this case a Bayesian posterior distribution. The approach is based on the use of variational Bayes to… (More)

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