93 citations · 233 across the 10 of their papers we have counts for
10 papers
Operator-theoretic approach to the partial integration of randomly coupled phase oscillators
Vincent Thibeault, Benjamin Claveau, Antoine Allard +1
In our previous work [arXiv:2504.06248], we adopted Koopman theory to link the existence of different constants of motion to the presence of specific network motifs of Kuramoto osc…
Kuramoto meets Koopman: Constants of motion, symmetries, and network motifs
Vincent Thibeault, Benjamin Claveau, Antoine Allard +1
Conserved quantities in phase-oscillator dynamics are well established for identically coupled oscillators, or groups thereof, but the explicit connectivity conditions under which…
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…
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…
Duality between predictability and reconstructability in complex systems
Charles Murphy, Vincent Thibeault, Antoine Allard +1
Predicting the evolution of a large system of units using its structure of interaction is a fundamental problem in complex system theory. And so is the problem of reconstructing th…
Detecting structural perturbations from time series with deep learning
Edward Laurence, Charles Murphy, Guillaume St-Onge +2
Small disturbances can trigger functional breakdowns in complex systems. A challenging task is to infer the structural cause of a disturbance in a networked system, soon enough to…
Threefold way to the dimension reduction of dynamics on networks: an application to synchronization
Vincent Thibeault, Guillaume St-Onge, Louis J. Dubé +1
Several complex systems can be modeled as large networks in which the state of the nodes continuously evolves through interactions among neighboring nodes, forming a high-dimension…
Master equation analysis of mesoscopic localization in contagion dynamics on higher-order networks
Guillaume St-Onge, Vincent Thibeault, Antoine Allard +2
Simple models of infectious diseases tend to assume random mixing of individuals, but real interactions are not random pairwise encounters: they occur within various types of gathe…
Social confinement and mesoscopic localization of epidemics on networks
Guillaume St-Onge, Vincent Thibeault, Antoine Allard +2
Recommendations around epidemics tend to focus on individual behaviors, with much less efforts attempting to guide event cancellations and other collective behaviors since most mod…