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Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem

Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar

2021Physica D Nonlinear Phenomena28 citationsDOIOpen Access PDF

Topics & Concepts

Center manifoldManifold (fluid mechanics)Closed manifoldManifold alignmentKernel (algebra)Invariant manifoldMathematicsStable manifoldApplied mathematicsCenter (category theory)Kernel methodSolverNonlinear dimensionality reductionMathematical analysisMathematical optimizationComputer sciencePure mathematicsPhysicsBifurcationEngineeringSupport vector machineDimensionality reductionQuantum mechanicsArtificial intelligenceCrystallographyMechanical engineeringHopf bifurcationNonlinear systemChemistryModel Reduction and Neural NetworksFractional Differential Equations SolutionsProbabilistic and Robust Engineering Design
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem | Litcius