215 citations · 1.8k across the 55 of their papers we have counts for
7 papers · 1 filter
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…
Hypergraph reconstruction from noisy pairwise observations
Ariane Lizotte, Jean-Gabriel Young, Antoine Allard
The network reconstruction task aims to estimate a complex system's structure from various data sources such as time series, snapshots, or interaction counts. Recent work has exami…
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…
Network compression with configuration models and the minimum description length
Laurent Hébert-Dufresne, Jean-Gabriel Young, Alexander Daniels +2
Random network models, constrained to reproduce specific statistical features, are often used to represent and analyze network data and their mathematical descriptions. Chief among…