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Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs

Thomas O’Leary-Roseberry, Umberto Villa, Peng Chen, Omar Ghattas

2021Computer Methods in Applied Mechanics and Engineering52 citationsDOIOpen Access PDF

Topics & Concepts

Subspace topologyArtificial neural networkParametric statisticsCurse of dimensionalityComputer scienceAlgorithmLinear subspaceInverse problemMathematical optimizationApplied mathematicsMathematicsArtificial intelligenceGeometryMathematical analysisStatisticsModel Reduction and Neural NetworksProbabilistic and Robust Engineering DesignNeural Networks and Applications
Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs | Litcius