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Physics-Informed Gaussian Process Inference of Liquid Structure from Scattering Data

Year: 2025
Type: article
Abstract: We present a nonparametric Bayesian framework to infer radial distribution functions from experimental scattering measurements with uncertainty quantification using nonstationary Gaussian processes. The Gaussian process prior mean and kernel functions are designed to mitigate well-known numerical challenges with the Fourier transform, including discrete measurement binning and detector windowing, while encoding fundamental yet minimal physical knowledge of the liquid structure. We demonstrate uncertainty propagation of the Gaussian process posterior to unmeasured quantities of interest. Experimental radial distribution functions of liquid argon and water with uncertainty quantification are provided as both a proof of principle for the method and a benchmark for molecular models.
Language: English
Open Access status: hybrid
OpenAlex ID: W4415729960
FWCI: 0.412
Cites: 37
Cited by: 1
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