4.7 Article

Multiple sparse priors for the M/EEG inverse problem

Journal

NEUROIMAGE
Volume 39, Issue 3, Pages 1104-1120

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.neuroimage.2007.09.048

Keywords

variational Bayes; free energy; expectation maximization; restricted maximum likelihood; model selection; automatic relevance determination; sparse priors

Funding

  1. MRC [MC_U105579226] Funding Source: UKRI
  2. Medical Research Council [MC_U105579226] Funding Source: researchfish
  3. Medical Research Council [MC_U105579226] Funding Source: Medline
  4. Wellcome Trust Funding Source: Medline

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This paper describes an application of hierarchical or empirical Bayes to the distributed source reconstruction problem in electro- and magnetoencephalography (EEG and MEG). The key contribution is the automatic selection of multiple cortical sources with compact spatial support that are specified in terms of empirical priors. This obviates the need to use priors with a specific form (e.g., smoothness or minimum norm) or with spatial structure (e.g., priors based on depth constraints or functional magnetic resonance imaging results). Furthermore, the inversion scheme allows for a sparse solution for distributed sources, of the sort enforced by equivalent current dipole (ECD) models. This means the approach automatically selects either a sparse or a distributed model, depending on the data. The scheme is compared with conventional applications of Bayesian solutions to quantify the improvement in performance. (c) 2007 Elsevier Inc. All rights reserved.

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