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A Bayesian test for the appropriateness of a model in the biomagnetic inverse problem

R. Hasson·S. J. Swithenby
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Abstract

This paper extends the work of Clarke [1] on the Bayesian foundations of the biomagnetic inverse problem. It derives expressions for the expectation and variance of the a posteriori source current probability distribution given a prior source current probability distribution, a source space weight function and a data set. The calculation of the variance enables the construction of a Bayesian test for the appropriateness of any source model that is chosen as the a priori infomation. The test is illustrated using both simulated (multi-dipole) data and the results of a study of early latency processing of images of human faces. [1] C.J.S. Clarke. Error estimates in the biomagnetic inverse problem. Inverse Problems, 10:77--86, 1994.

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R. Hasson, S. J. Swithenby. 1999-02-01. A Bayesian test for the appropriateness of a model in the biomagnetic inverse problem. https://doi.org/10.1088/0266-5611%2F15%2F6%2F304

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