Derivative-Informed Neural Operator: An efficient framework for high-dimensional parametric derivative learning
Thomas O’Leary-Roseberry, Peng Chen, Umberto Villa, Omar Ghattas
Topics & Concepts
Hessian matrixCurse of dimensionalityArtificial neural networkOperator (biology)Computer scienceDirectional derivativeFunction approximationMathematical optimizationDimension (graph theory)Parametric statisticsDiscretizationFunction (biology)Applied mathematicsMathematicsAlgorithmArtificial intelligenceMathematical analysisEvolutionary biologyRepressorGenePure mathematicsBiologyStatisticsTranscription factorChemistryBiochemistryModel Reduction and Neural NetworksNeural Networks and ApplicationsProbabilistic and Robust Engineering Design