Bayesian model-data comparison incorporating theoretical uncertainties

Bibliographic Details
Title: Bayesian model-data comparison incorporating theoretical uncertainties
Authors: Jaiswal, Sunil, Shen, Chun, Furnstahl, Richard J., Heinz, Ulrich, Pratola, Matthew T.
Publication Year: 2025
Collection: High Energy Physics - Phenomenology
Nuclear Theory
Physics (Other)
Subject Terms: High Energy Physics - Phenomenology, Nuclear Theory, Physics - Data Analysis, Statistics and Probability
More Details: Accurate comparisons between theoretical models and experimental data are critical for scientific progress. However, inferred model parameters can vary significantly with the chosen physics model, highlighting the importance of properly accounting for theoretical uncertainties. In this article, we explicitly incorporate these uncertainties using Gaussian processes that model the domain of validity of theoretical models, integrating prior knowledge about where a theory applies and where it does not. We demonstrate the effectiveness of this approach using two systems: a simple ball drop experiment and multi-stage heavy-ion simulations. In both cases incorporating model discrepancy leads to improved parameter estimates, with systematic improvements observed as additional experimental observables are integrated.
Comment: 11 pages, 6 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2504.13144
Accession Number: edsarx.2504.13144
Database: arXiv
More Details
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