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math.OC2023★ 9 cited
Efficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators
Dingcheng Luo, Thomas O'Leary-Roseberry, Peng Chen +1
We propose a novel machine learning framework for solving optimization problems governed by large-scale partial differential equations (PDEs) with high-dimensional random parameter…
math.NA2023
A Greedy Sensor Selection Algorithm for Hyperparameterized Linear Bayesian Inverse Problems
Nicole Aretz, Peng Chen, Denise Degen +1
We consider optimal sensor placement for a family of linear Bayesian inverse problems characterized by a deterministic hyper-parameter. The hyper-parameter describes distinct confi…