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20212026
most citedEfficient PDE-Constrained optimization under high-dimensional uncertainty using derivative-informed neural operators

9 citations · 21 across the 8 of their papers we have counts for

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2 papers · 1 filter

math.NA2024

Gaussian mixture Taylor approximations of risk measures constrained by PDEs with Gaussian random field inputs

Dingcheng Luo, Joshua Chen, Peng Chen +1

This work considers the computation of risk measures for quantities of interest governed by PDEs with Gaussian random field parameters using Taylor approximations. While efficient,…

math.NA2024

Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC

Joseph Kirchhoff, Dingcheng Luo, Thomas O'Leary-Roseberry +1

We present a scalable and efficient framework for the inference of spatially-varying parameters of continuum materials from image observations of their deformations. Our goal is th…