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Statistics and Computing

, Volume 15, Issue 1, pp 31–41 | Cite as

Hierarchical Gaussian process mixtures for regression

  • J.Q. ShiEmail author
  • R. Murray-Smith
  • D.M. Titterington
Article

Abstract

As a result of their good performance in practice and their desirable analytical properties, Gaussian process regression models are becoming increasingly of interest in statistics, engineering and other fields. However, two major problems arise when the model is applied to a large data-set with repeated measurements. One stems from the systematic heterogeneity among the different replications, and the other is the requirement to invert a covariance matrix which is involved in the implementation of the model. The dimension of this matrix equals the sample size of the training data-set. In this paper, a Gaussian process mixture model for regression is proposed for dealing with the above two problems, and a hybrid Markov chain Monte Carlo (MCMC) algorithm is used for its implementation. Application to a real data-set is reported.

Keywords

Gaussian process heterogeneity hybrid Markov chain Monte Carlo mixture models nonparametric curve fitting 

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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of NewcastleUK
  2. 2.Department of Computing ScienceUniversity of GlasgowGlasgowUK
  3. 3.Department of StatisticsUniversity of GlasgowGlasgowUK
  4. 4.Hamilton Institute, National University of Ireland, Maynooth Co.KildareIreland

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