Log Gaussian Cox Process Background Modeling in High Energy Physics

Fuente: arXiv
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Main Authors: Frid, Yuval, Barak, Liron, Jairam, Pavani, Kagan, Michael, Hyneman, Rachel Jordan
Format: Preprint
Published: 2025
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author Frid, Yuval
Barak, Liron
Jairam, Pavani
Kagan, Michael
Hyneman, Rachel Jordan
author_facet Frid, Yuval
Barak, Liron
Jairam, Pavani
Kagan, Michael
Hyneman, Rachel Jordan
contents Background modeling is one of the most critical components in high energy physics data analyses, and for smooth backgrounds it is often performed by fitting using an analytic functional form. In this paper a novel method based on Log Gaussian Cox Processes (LGCP) is introduced to model smooth backgrounds while making minimal assumptions on the underlying shape. In LGCP, samples are assumed to be drawn from a non-homogeneous Poisson process, with an intensity function drawn from a Gaussian process. Markov Chain Monte Carlo is used for optimizing the hyper parameters and drawing the final fit for the background estimate from the posterior. Synthetic experiments comparing background modeling from functional forms and the LGCP are used to compare the different methods.
format Preprint
id arxiv_https___arxiv_org_abs_2508_11740
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Log Gaussian Cox Process Background Modeling in High Energy Physics
Frid, Yuval
Barak, Liron
Jairam, Pavani
Kagan, Michael
Hyneman, Rachel Jordan
Data Analysis, Statistics and Probability
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Background modeling is one of the most critical components in high energy physics data analyses, and for smooth backgrounds it is often performed by fitting using an analytic functional form. In this paper a novel method based on Log Gaussian Cox Processes (LGCP) is introduced to model smooth backgrounds while making minimal assumptions on the underlying shape. In LGCP, samples are assumed to be drawn from a non-homogeneous Poisson process, with an intensity function drawn from a Gaussian process. Markov Chain Monte Carlo is used for optimizing the hyper parameters and drawing the final fit for the background estimate from the posterior. Synthetic experiments comparing background modeling from functional forms and the LGCP are used to compare the different methods.
title Log Gaussian Cox Process Background Modeling in High Energy Physics
topic Data Analysis, Statistics and Probability
High Energy Physics - Experiment
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.11740