83 citations · 184 across the 9 of their papers we have counts for
9 papers
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…
Deep learning of contagion dynamics on complex networks
Charles Murphy, Edward Laurence, Antoine Allard
Forecasting the evolution of contagion dynamics is still an open problem to which mechanistic models only offer a partial answer. To remain mathematically or computationally tracta…
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)…
Exact analytical solution of irreversible binary dynamics on networks
Edward Laurence, Jean-Gabriel Young, Sergey Melnik +1
In binary cascade dynamics, the nodes of a graph are in one of two possible states (inactive, active), and nodes in the inactive state make an irreversible transition to the active…
Geometric evolution of complex networks
Charles Murphy, Antoine Allard, Edward Laurence +2
We present a general class of geometric network growth mechanisms by homogeneous attachment in which the links created at a given time are distributed homogeneously between a n…
Phase transition of the susceptible-infected-susceptible dynamics on time-varying configuration model networks
Guillaume St-Onge, Jean-Gabriel Young, Edward Laurence +2
We present a degree-based theoretical framework to study the susceptible-infected-susceptible (SIS) dynamics on time-varying (rewired) configuration model networks. Using this fram…
Susceptible-infected-susceptible dynamics on the rewired configuration model
Guillaume St-Onge, Jean-Gabriel Young, Edward Laurence +2
We investigate the susceptible-infected-susceptible dynamics on configuration model networks. In an effort for the unification of current approaches, we consider a network whose ed…
Finite size analysis of the detectability limit of the stochastic block model
Jean-Gabriel Young, Patrick Desrosiers, Laurent Hébert-Dufresne +2
It has been shown in recent years that the stochastic block model (SBM) is sometimes undetectable in the sparse limit, i.e., that no algorithm can identify a partition correlated w…
Complex networks as an emerging property of hierarchical preferential attachment
Laurent Hébert-Dufresne, Edward Laurence, Antoine Allard +2
Real complex systems are not rigidly structured; no clear rules or blueprints exist for their construction. Yet, amidst their apparent randomness, complex structural properties uni…