A 3D CNN surrogate predicts equivalent hydraulic conductivity tensors for discrete fracture-matrix systems with normalized RMSE below 0.22 and achieves over 100x GPU speedup.
Acta Numerica 24, 259–328
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Slice Monte Carlo integration partitions parameter space with a surrogate to enable variance-reduced stratified Monte Carlo estimation of integrals involving expensive target functions.
Multi-fidelity Monte Carlo using DSMC as high-fidelity and panel methods as low-fidelity control variates reduces relative RMSE in drag mean and second-moment estimates by factors of several when correlations are high.
MLMC and MLQMC with h- and p-refinement hierarchies achieve significant speedups over standard MC for UQ in cantilever beam problems, with MLQMC showing optimal cost scaling under certain conditions.
citing papers explorer
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Convolutional Surrogate for 3D Discrete Fracture-Matrix Tensor Upscaling
A 3D CNN surrogate predicts equivalent hydraulic conductivity tensors for discrete fracture-matrix systems with normalized RMSE below 0.22 and achieves over 100x GPU speedup.
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Slice Monte Carlo Integration
Slice Monte Carlo integration partitions parameter space with a surrogate to enable variance-reduced stratified Monte Carlo estimation of integrals involving expensive target functions.
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Multi-Fidelity Monte-Carlo Estimation of Satellite Drag in Very-Low-Earth Orbit
Multi-fidelity Monte Carlo using DSMC as high-fidelity and panel methods as low-fidelity control variates reduces relative RMSE in drag mean and second-moment estimates by factors of several when correlations are high.