Multi-Fidelity Physics-Informed Neural Networks with Bayesian Uncertainty Quantification and Adaptive Residual Learning for Efficient Solution of Parametric Partial Differential Equations
This paper introduces MF-BPINN, a novel multi-fidelity framework that integrates Bayesian uncertainty quantification and adaptive residual learning to efficiently solve parametric partial differential equations by synergistically combining sparse high-fidelity data with abundant low-fidelity simulations.