Groupwise sparsity enforcing estimators for solving the EEG/MEG inverse problem
published: Dec. 18, 2008, recorded: December 2008, views: 4109
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Cerebral current ﬂows are directly related to information transfer in the brain and thus an excellent means for studying the mechanisms of cogni- tive processing. Electro- and Magneto-encephalography, EEG and MEG, are noninvasive measures of these electric currents (EEG) or their respec- tive accompanying magnetic ﬁelds (MEG). The reconstruction of the cere- bral current density from EEG/MEG measurements is an ill-posed inverse problem. As the forward mapping from the current sources to the external sensors is linear, the inverse problem may be formulated as a highly un- der determined linear system of equations, which has no unique solution. The common strategy to deal with this ambiguity is regularization, i.e. ﬁt- ting the data with an additional penalization of the sources. Both l2-norm and l1-norm based penalties have been proposed based on the neurophys- iologically motivated assumptions of smoothness and sparsity, respectively.
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