A unified framework with FPI-BPINN and fParVI-PINN approaches enables functional priors in Bayesian PINN inversion, yielding accurate posterior estimates for 1D seismic tomography and 2D Darcy flow permeability inversion.
(2021)), and the proposed fpBPINN approaches, including FPI-BPINN and fParVI-PINN
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Functional-prior-based approaches to Bayesian PDE-constrained inversion using physics-informed neural networks
A unified framework with FPI-BPINN and fParVI-PINN approaches enables functional priors in Bayesian PINN inversion, yielding accurate posterior estimates for 1D seismic tomography and 2D Darcy flow permeability inversion.