Operator-Informed Gaussian Processes Model Complex Helmholtz Wavefields

Researchers present an approach that embeds knowledge of the Helmholtz operator into Gaussian process models so they can reconstruct complex-valued wavefields, including the dissipative case where the squared wavenumber becomes complex. The method is tested first on synthetic benchmarks and then applied to in vivo brain elastography, where it infers tissue properties from limited, noisy measurements. The work emphasizes uncertainty quantification alongside field estimation.