论文标题

贝叶斯调整高斯:有条件的高斯先验,用于稳定的多旋翼估计

Where Bayes tweaks Gauss: Conditionally Gaussian priors for stable multi-dipole estimation

论文作者

Viani, Alessandro, Luria, Gianvittorio, Bornfleth, Harald, Sorrentino, Alberto

论文摘要

我们提出了对先前描述的模型和算法的非常简单而强大的概括,用于估算磁电/电脑电图数据的多个偶极子。具体而言,概括在于在一组有条件的线性/高斯变量的标准偏差上引入对数均匀的高位。我们使用数值模拟和实验数据集来表明,在高参数的广泛值下,与后验分布的近似值保持极为稳定,实际上消除了对高参数的依赖性。

We present a very simple yet powerful generalization of a previously described model and algorithm for estimation of multiple dipoles from magneto/electro-encephalographic data. Specifically, the generalization consists in the introduction of a log-uniform hyperprior on the standard deviation of a set of conditionally linear/Gaussian variables. We use numerical simulations and an experimental dataset to show that the approximation to the posterior distribution remains extremely stable under a wide range of values of the hyperparameter, virtually removing the dependence on the hyperparameter.

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