A simple non-parametric reconstruction of parton distributions from limited Fourier information
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913600155680768 |
|---|---|
| author | Dutrieux, Hervé Karpie, Joseph Orginos, Kostas Zafeiropoulos, Savvas |
| author_facet | Dutrieux, Hervé Karpie, Joseph Orginos, Kostas Zafeiropoulos, Savvas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05227 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A simple non-parametric reconstruction of parton distributions from limited Fourier information Dutrieux, Hervé Karpie, Joseph Orginos, Kostas Zafeiropoulos, Savvas High Energy Physics - Lattice High Energy Physics - Phenomenology 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. |
| title | A simple non-parametric reconstruction of parton distributions from limited Fourier information |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.05227 |