A VRNN-DIRT framework with tensor trains delivers low-variance failure probability estimates for 3D heterogeneous composites in dimensions up to 150.
Homogenization and two-scale convergence.SIAM Journal on Mathematical Analysis, 23(6):1482–1518, 1992
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Multiscale Structural Reliability Analysis in high dimensions with Tensor Trains and Physics-Augmented Neural Networks
A VRNN-DIRT framework with tensor trains delivers low-variance failure probability estimates for 3D heterogeneous composites in dimensions up to 150.