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This paper introduces two novel scores for detecting local perturbations in networks. For this, we consider a non-Euclidean representation of networks, namely, their embedding onto the Poincaré disk model of hyperbolic geometry. We numerically evaluate the performances of these scores for the detection and localization of perturbations on homogeneous and heterogeneous network models. To illustrate our approach, we study latent geometric representations of real brain networks to identify and quantify the impact of epilepsy surgery on brain regions. Results suggest that our approach can provide a powerful tool for representing and analyzing changes in brain networks following surgical intervention, marking the first application of geometric network embedding in epilepsy research.
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Alice Longhena
Martin Guillemaud
Mario Chávez
Chaos An Interdisciplinary Journal of Nonlinear Science
Centre National de la Recherche Scientifique
Inserm
Sorbonne Université
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Longhena et al. (Sat,) studied this question.
www.synapsesocial.com/papers/68e66b13b6db6435875f61f3 — DOI: https://doi.org/10.1063/5.0199546
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