93 citations · 766 across the 42 of their papers we have counts for
42 papers
On the reconstruction limits of complex networks
Charles Murphy, Ariane Lizotte, François Thibault +3
Network reconstruction consists in retrieving the hidden interaction structure of a system from observations. Many reconstruction algorithms have been proposed, although less resea…
Firing rate distributions in plastic networks of spiking neurons
Marina Vegué, Antoine Allard, Patrick Desrosiers
In recurrent networks of leaky integrate-and-fire (LIF) neurons, mean-field theory has proven successful in describing various statistical properties of neuronal activity at equili…
The determining role of covariances in large networks of stochastic neurons
Vincent Painchaud, Patrick Desrosiers, Nicolas Doyon
Biological neural networks are notoriously hard to model due to their stochastic behavior and high dimensionality. We tackle this problem by constructing a dynamical model of both…
Dimension matters when modeling network communities in hyperbolic spaces
Béatrice Désy, Patrick Desrosiers, Antoine Allard
Over the last decade, random hyperbolic graphs have proved successful in providing geometric explanations for many key properties of real-world networks, including strong clusterin…
The low-rank hypothesis of complex systems
Vincent Thibeault, Antoine Allard, Patrick Desrosiers
Complex systems are high-dimensional nonlinear dynamical systems with intricate interactions among their constituents. To make interpretable predictions about their large-scale beh…
Dimension reduction of dynamics on modular and heterogeneous directed networks
Marina Vegué, Vincent Thibeault, Patrick Desrosiers +1
Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose ti…