Increasing robustness of pairwise methods for effective connectivity in Magnetic Resonance Imaging by using fractional moment series of BOLD signal distributions
Natalia Bielczyk, Alberto Llera, Jan Buitelaar, Jeffrey Glennon,, Christian Beckmann

TL;DR
This paper presents a novel classifier based on fractional moments of BOLD signal distributions to improve the accuracy and robustness of effective connectivity inference in fMRI data, outperforming existing methods especially under confounding noise.
Contribution
Introduces a new classifier using fractional moments and cumulants of BOLD signals, enhancing robustness and accuracy in effective connectivity estimation in fMRI.
Findings
Outperforms existing methods on benchmark datasets.
More resilient to confounding effects like differential noise.
Effective in inferring causal directionality in brain networks.
Abstract
Estimating causal interactions in the brain from functional magnetic resonance imaging (fMRI) data remains a challenging task. Multiple studies have demonstrated that all current approaches to determine direction of connectivity perform poorly even when applied to synthetic fMRI datasets. Recent advances in this field include methods for pairwise inference, which involve creating a sparse connectome in the first step, and then using a classifier in order to determine the directionality of connection between of every pair of nodes in the second step. In this work, we introduce an advance to the second step of this procedure, by building a classifier based on fractional moments of the BOLD distribution combined into cumulants. The classifier is trained on datasets generated under the Dynamic Causal Modeling (DCM) generative model. The directionality is inferred based upon statistical…
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