The low-rank hypothesis of complex systems
Vincent Thibeault, Antoine Allard, Patrick Desrosiers
Topics & Concepts
Rank (graph theory)Singular value decompositionDimension (graph theory)Nonlinear systemReduction (mathematics)Complex systemStatistical physicsComplex networkSingular valueRandom matrixMatrix (chemical analysis)Dynamical systems theoryScale (ratio)Low-rank approximationDimensionality reductionExponential functionApplied mathematicsPhysicsPure mathematicsMathematicsComputer scienceAlgorithmEigenvalues and eigenvectorsArtificial intelligenceQuantum mechanicsMathematical analysisCombinatoricsComposite materialMaterials scienceTensor (intrinsic definition)GeometryFunctional Brain Connectivity StudiesAdvanced Neuroimaging Techniques and ApplicationsNeural dynamics and brain function