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EEG source localization based on a structured sparsity prior and a partially collapsed Gibbs sampler

Costa, Facundo and Batatia, Hadj and Oberlin, Thomas and Tourneret, Jean-Yves EEG source localization based on a structured sparsity prior and a partially collapsed Gibbs sampler. (2015) In: 6th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP 2015), 13 December 2015 - 16 December 2015 (Cancun, Mexico).

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Official URL: http://dx.doi.org/10.1109/CAMSAP.2015.7383786

Abstract

In this paper, we propose a hierarchical Bayesian model approximating the ℓ20 mixed-norm regularization by a multivariate Bernoulli Laplace prior to solve the EEG inverse problem by promoting spatial structured sparsity. The posterior distribution of this model is too complex to derive closed-form expressions of the standard Bayesian estimators. An MCMC method is proposed to sample this posterior and estimate the model parameters from the generated samples. The algorithm is based on a partially collapsed Gibbs sampler and a dual dipole random shift proposal for the non-zero positions. The brain activity and all other model parameters are jointly estimated in a completely unsupervised framework. The results obtained on synthetic data with controlled ground truth show the good performance of the proposed method when compared to the ℓ21 approach in different scenarios, and its capacity to estimate point-like source activity.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of CAMSAP 2015. Electronic ISBN: 978-1-4799-1963-5 The original PDF of the article can be found at: http://ieeexplore.ieee.org/document/7383786/ Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-01491206
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:01 Mar 2017 12:22

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