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brain elastography 1complex-valued fields 1gaussian processes 1helmholtz equation 1physics-informed learning 1

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stat.ML2026

Operator-Informed Gaussian Processes for Complex Helmholtz Wavefields: From Synthetic Benchmarks to In Vivo Brain Elastography

Boyuan Deng, Kshitiz Upadhyay, Michael Shields

The paper extends physics‑informed Gaussian‑process regression to complex‑valued Helmholtz wavefields by converting the complex operator into a coupled real system, allowing uncert…