7 citations · 8 across the 7 of their papers we have counts for
7 papers
An inferential measure of dependence between two systems using Bayesian model comparison
Guillaume Marrelec, Alain Giron
We propose to quantify dependence between two systems and in a dataset based on the Bayesian comparison of two models: one, , of statistical independence and anoth…
Multilevel testing of constraints induced by structural equation modeling in fMRI effective connectivity analysis: A proof of concept
G. Marrelec, A. Giron
In functional MRI (fMRI), effective connectivity analysis aims at inferring the causal influences that brain regions exert on one another. A common method for this type of analysis…
Inferring the finest pattern of mutual independence from data
G. Marrelec, A. Giron
For a random variable , we are interested in the blind extraction of its finest mutual independence pattern . We introduce a specific kind of independence that we call d…
Estimating the concentration parameter of a von Mises distribution: a systematic simulation benchmark
Guillaume Marrelec, Alain Giron
In directional statistics, the von Mises distribution is a key element in the analysis of circular data. While there is a general agreement regarding the estimation of its location…
Exponential decay of pairwise correlation in Gaussian graphical models with an equicorrelational one-dimensional connection pattern
Guillaume Marrelec, Alain Giron, Laura Messio
We consider Gaussian graphical models associated with an equicorrelational and one-dimensional conditional independence graph. We show that pairwise correlation decays exponentiall…
Automated extraction of mutual independence patterns using Bayesian comparison of partition models
Guillaume Marrelec, Alain Giron
Mutual independence is a key concept in statistics that characterizes the structural relationships between variables. Existing methods to investigate mutual independence rely on th…
Cumulants of multiinformation density in the case of a multivariate normal distribution
Guillaume Marrelec, Alain Giron
We consider a generalization of information density to a partitioning into subvectors. We calculate its cumulant-generating function and its cumulants, showing that thes…