Approximate Inference for Robust Gaussian Process Regression
2005
Technical Report
ei
Gaussian process (GP) priors have been successfully used in non-parametric Bayesian regression and classification models. Inference can be performed analytically only for the regression model with Gaussian noise. For all other likelihood models inference is intractable and various approximation techniques have been proposed. In recent years expectation-propagation (EP) has been developed as a general method for approximate inference. This article provides a general summary of how expectation-propagation can be used for approximate inference in Gaussian process models. Furthermore we present a case study describing its implementation for a new robust variant of Gaussian process regression. To gain further insights into the quality of the EP approximation we present experiments in which we compare to results obtained by Markov chain Monte Carlo (MCMC) sampling.
Author(s): | Kuss, M. and Pfingsten, T. and Csato, L. and Rasmussen, CE. |
Number (issue): | 136 |
Year: | 2005 |
Day: | 0 |
Department(s): | Empirical Inference |
Bibtex Type: | Technical Report (techreport) |
Institution: | Max Planck Institute for Biological Cybernetics, Tübingen, Germany |
Organization: | Max-Planck-Gesellschaft |
School: | Biologische Kybernetik |
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BibTex @techreport{3265, title = {Approximate Inference for Robust Gaussian Process Regression}, author = {Kuss, M. and Pfingsten, T. and Csato, L. and Rasmussen, CE.}, number = {136}, organization = {Max-Planck-Gesellschaft}, institution = {Max Planck Institute for Biological Cybernetics, T{\"u}bingen, Germany}, school = {Biologische Kybernetik}, year = {2005}, doi = {} } |