Robust Bayesian General Linear Models

Penny, W. D. ORCID: https://orcid.org/0000-0001-9064-1191, Kilner, J. and Blankenburg, F. (2007) Robust Bayesian General Linear Models. NeuroImage, 36 (3). pp. 661-671. ISSN 1053-8119

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Abstract

We describe a Bayesian learning algorithm for Robust General Linear Models (RGLMs). The noise is modeled as a Mixture of Gaussians rather than the usual single Gaussian. This allows different data points to be associated with different noise levels and effectively provides a robust estimation of regression coefficients. A variational inference framework is used to prevent overfitting and provides a model order selection criterion for noise model order. This allows the RGLM to default to the usual GLM when robustness is not required. The method is compared to other robust regression methods and applied to synthetic data and fMRI.

Item Type:	Article
Uncontrolled Keywords:	algorithms,auditory cortex,bayes theorem,brain,electroencephalography,humans,linear models,magnetic resonance imaging,neurological models,oxygen,roc curve,regression analysis
Faculty \ School:	Faculty of Social Sciences > School of Psychology
UEA Research Groups:	Faculty of Social Sciences > Research Centres > Centre for Behavioural and Experimental Social Sciences
Depositing User:	Pure Connector
Date Deposited:	22 Aug 2017 06:35
Last Modified:	20 Apr 2023 00:32
URI:	https://ueaeprints.uea.ac.uk/id/eprint/64615
DOI:	10.1016/j.neuroimage.2007.01.058

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