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A framework based on symbolic regression coupled with eXtended Physics-Informed Neural Networks for gray-box learning of equations of motion from data

Elham Kiyani, Khemraj Shukla, George Em Karniadakis, Mikko Karttunen

2023Computer Methods in Applied Mechanics and Engineering27 citationsDOIOpen Access PDF

Topics & Concepts

Artificial neural networkSymbolic regressionNonlinear systemNoise (video)Norm (philosophy)AlgorithmComputer scienceMatrix normDomain (mathematical analysis)Test dataArtificial intelligenceApplied mathematicsMathematicsMathematical analysisPhysicsEigenvalues and eigenvectorsImage (mathematics)Programming languagePolitical scienceGenetic programmingLawQuantum mechanicsModel Reduction and Neural NetworksFluid Dynamics and Turbulent FlowsLattice Boltzmann Simulation Studies
A framework based on symbolic regression coupled with eXtended Physics-Informed Neural Networks for gray-box learning of equations of motion from data | Litcius