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arXiv · 2412.05227

A simple non-parametric reconstruction of parton distributions from limited Fourier information

Hervé Dutrieux·Joseph Karpie·Kostas Orginos·Savvas Zafeiropoulos
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Abstract

Some calculations of parton distributions from first principles only give access to a limited range of Fourier modes of the function to reconstruct. We present a physically motivated procedure to regularize the inverse integral problem using a Gaussian process as a Bayesian prior. We propose to fix the hyperparameters of the prior in a meaningful physical fashion, offering a simple implementation, great numerical efficiency, and allowing us to understand and keep control easily of the uncertainty of the reconstruction.

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Hervé Dutrieux, Joseph Karpie, Kostas Orginos, Savvas Zafeiropoulos. 2024-12-06. A simple non-parametric reconstruction of parton distributions from limited Fourier information. https://arxiv.org/abs/2412.05227

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