63 citations · 90 across the 8 of their papers we have counts for
9 papers
Statistical Mechanics of Spike Trains: Self-Consistent Activity Ensembles and Phase Transitions
Jan Pyrzowski, Laura Messio, Guillaume Marrelec +1
We introduce a statistical-mechanical framework for spiking neuronal systems in which entire spike trains, defined as spatiotemporal configurations of discrete events, are treated…
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…
Time-frequency analysis of event-related brain recordings: Connecting power of evoked potential and inter-trial coherence
Jonas Benhamou, Michel Le Van Quyen, Guillaume Marrelec
Objective. In neuroscience, time-frequency analysis has been used to get insight into brain rhythms from brain recordings. In event-related protocols, one applies it to investigate…
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…
A Bayesian alternative to mutual information for the hierarchical clustering of dependent random variables
Guillaume Marrelec, Arnaud Messé, Pierre Bellec
The use of mutual information as a similarity measure in agglomerative hierarchical clustering (AHC) raises an important issue: some correction needs to be applied for the dimensio…
A Network Analysis Approach to fMRI Condition-Specific Functional Connectivity
Svetlana V. Shinkareva, Vladimir Gudkov, Jing Wang
In this work we focus on examination and comparison of whole-brain functional connectivity patterns measured with fMRI across experimental conditions. Direct examination and compar…