生物磁逆问题中模型适用性的贝叶斯检验
A Bayesian test for the appropriateness of a model in the biomagnetic inverse problem
AI总结：
本文扩展了Clarke关于生物磁逆问题贝叶斯基础的工作，推导了后验源电流概率分布的期望和方差表达式，并基于方差构建了贝叶斯检验以评估先验源模型的适用性，通过模拟数据和真实人脸图像实验验证了方法。
摘要：
本文扩展了Clarke [1] 关于生物磁逆问题贝叶斯基础的工作。给定先验源电流概率分布、源空间权重函数和数据集，推导了后验源电流概率分布的期望和方差表达式。方差的计算使得能够构建贝叶斯检验，以评估任何被选为先验信息的源模型的适用性。该检验通过模拟（多偶极子）数据和一项关于人脸图像早期潜伏期处理的研究结果进行了说明。
英文摘要：
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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