Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a novel multivariate Laplace (MVL) distribution as a sparsity promoting prior for Bayesian source localization that allows the specification of constraints beten and within sources.  represent the MVL distribution as a scale mixture that induces a coupling beten source variances instead of their means. Approximation of the posterior marginals using expectation propagation is shown to be very efficient due to properties of the scale mixture representation. The computational bottleneck amounts to computing the diagonal elements of a sparse matrix inverse. Our approach is illustrated using a mismatch negativity paradigm for which MEG data and a structural MRI have been acquired.  show that spatial coupling leads to sources which are active over larger cortical areas as compared with an uncoupled prior.
['Marcel A. J. van Gerven', 'Botond Cseke', 'Robert Oostenveld', 'Tom Heskes']
I am writing a research paper on a idea Bayesian Source Localization with the Multivariate Laplace Prior
[{"from": "human", "value": "I am writing a research paper on a idea Bayesian Source Localization with the Multivariate Laplace Prior"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduce a novel multivariate Laplace (MVL) distribution as a sparsity promoting prior for Bayesian source localization that allows the specification of constraints beten and within sources.  represent the MVL distribution as a scale mixture that induces a coupling beten source variances instead of their means. Approximation of the posterior marginals using expectation propagation is shown to be very efficient due to properties of the scale mixture representation. The computational bottleneck amounts to computing the diagonal elements of a sparse matrix inverse. Our approach is illustrated using a mismatch negativity paradigm for which MEG data and a structural MRI have been acquired.  show that spatial coupling leads to sources which are active over larger cortical areas as compared with an uncoupled prior."}]