93 citations · 233 across the 10 of their papers we have counts for
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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…