4 papers
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…
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…
Spectral dimension reduction of complex dynamical networks
Edward Laurence, Nicolas Doyon, Louis J Dubé +1
Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes)…
Universality of the stochastic block model
Jean-Gabriel Young, Guillaume St-Onge, Patrick Desrosiers +1
Mesoscopic pattern extraction (MPE) is the problem of finding a partition of the nodes of a complex network that maximizes some objective function. Many well-known network inferenc…