Direct interval propagation methods using neural-network surrogates for uncertainty quantification in physical systems surrogate model
Published in Knowledge-Based Systems, 2026
We reformulate interval uncertainty propagation as an interval-valued regression problem to avoid costly optimisation-based methods. Using neural network surrogates, including MLPs and DeepONets, we evaluate direct interval prediction via naive propagation, bound propagation (IBP, CROWN), and interval neural networks. The proposed approaches significantly improve computational efficiency while maintaining accurate interval estimates.
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