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most citedEfficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators

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Dimension reduction for derivative-informed operator learning: An analysis of approximation errors

Dingcheng Luo, Thomas O'Leary-Roseberry, Peng Chen +1

We study the derivative-informed learning of nonlinear operators between infinite-dimensional separable Hilbert spaces by neural networks. Such operators can arise from the solutio…