Human Brain Mapping · 2009 · 61 citations · 48 references
Life SciencesBiomedical EngineeringNeuroscienceCognitive NeuroscienceComputational NeuroscienceNeurophysiologyBrain ImagingElectroencephalogram AnalysisElectroencephalographyFunctional NeuroimagingAutoregressive ModelsBrain Activation LocalizationCortical OrganizationEeg Source LocalizationElectroencephalographic Source ImagingNeural Source LocalizationPenaltiesSource Reconstruction
This article describes a spatio-temporal EEG/MEG source imaging (ESI) that extracts a parsimonious set of "atoms" or components, each the outer product of both a spatial and a temporal signature. The sources estimated are localized as smooth, minimally overlapping patches of cortical activation that are obtained by constraining spatial signatures to be nonnegative (NN), orthogonal, sparse, and smooth-in effect integrating ESI with NN-ICA. This constitutes a generalization of work by this group on the use of multiple penalties for ESI. A multiplicative update algorithm is derived being stable, fast and converging within seconds near the optimal solution. This procedure, spatio-temporal tomographic NN ICA (STTONNICA), is equally able to recover superficial or deep sources without additional weighting constraints as tested with simulations. STTONNICA analysis of ERPs to familiar and unfamiliar faces yields an occipital-fusiform atom activated by all faces and a more frontal atom that only is active with familiar faces. The temporal signatures are at present unconstrained but can be required to be smooth, complex, or following a multivariate autoregressive model.
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Ridge Regression: Biased Estimation for Nonorthogonal Problems
Arthur E. Hoerl, Robert W. Kennard · Technometrics · 2000 · 6.6K citations
Atomic Decomposition by Basis Pursuit
Scott Shaobing Chen, David L. Donoho, Michael A. Saunders · SIAM Review · 2001 · 5.1K citations