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A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks

Khemraj Shukla, Juan Diego Toscano, Zhicheng Wang, Zongren Zou, George Em Karniadakis

2024Computer Methods in Applied Mechanics and Engineering144 citationsDOI

Topics & Concepts

Operator (biology)MathematicsDifferential operatorApplied mathematicsDifferential equationAlgebra over a fieldComputer scienceMathematical analysisPure mathematicsTranscription factorRepressorGeneBiochemistryChemistryModel Reduction and Neural NetworksNeural Networks and ApplicationsSimulation Techniques and Applications
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks | Litcius