Uncertainty in Physics and AI: Taxonomy, Quantification, and Validation

Fuente: arXiv
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Hauptverfasser: Haußmann, Manuel, Winterhalder, Ramon, Ubiali, Maria
Format: Preprint
Veröffentlicht: 2026
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author Haußmann, Manuel
Winterhalder, Ramon
Ubiali, Maria
author_facet Haußmann, Manuel
Winterhalder, Ramon
Ubiali, Maria
contents Reliable uncertainty quantification is essential for the use of machine learning in physics, where scientific discoveries depend on validated probabilistic statements. We provide a structured overview of uncertainty quantification in ML for physics, introducing a unified taxonomy of uncertainty and clarifying the interpretation of predictive and inference uncertainties across frequentist and Bayesian frameworks. We discuss principled validation tools, including coverage, calibration, bias tests, and proper scoring rules, and illustrate them with simple regression and classification examples.
format Preprint
id arxiv_https___arxiv_org_abs_2605_10378
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Uncertainty in Physics and AI: Taxonomy, Quantification, and Validation
Haußmann, Manuel
Winterhalder, Ramon
Ubiali, Maria
Machine Learning
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
High Energy Physics - Experiment
High Energy Physics - Phenomenology
Reliable uncertainty quantification is essential for the use of machine learning in physics, where scientific discoveries depend on validated probabilistic statements. We provide a structured overview of uncertainty quantification in ML for physics, introducing a unified taxonomy of uncertainty and clarifying the interpretation of predictive and inference uncertainties across frequentist and Bayesian frameworks. We discuss principled validation tools, including coverage, calibration, bias tests, and proper scoring rules, and illustrate them with simple regression and classification examples.
title Uncertainty in Physics and AI: Taxonomy, Quantification, and Validation
topic Machine Learning
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
High Energy Physics - Experiment
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.10378