Active Learning with Bayesian Multi-Fidelity Laplace Neural Operators for Parametric PDEs
This arXiv paper proposes a surrogate modeling approach that combines Laplace neural operators with multi-fidelity Bayesian active learning for oscillatory parametric partial differential equations. High-fidelity simulation data is costly to generate, so the method uses Bayesian uncertainty estimates to decide which fidelity levels and parameter points to sample next. The authors frame the work around engineering uses such as design optimization and digital twins, where fast, repeated predictions are needed.