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Related papers: Uncertainties in Atomic Data and Their Propagation…

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Accurate comparisons between theoretical models and experimental data are critical for scientific progress. However, inferred physical model parameters can vary significantly with the chosen physics model, highlighting the importance of…

High Energy Physics - Phenomenology · Physics 2025-10-27 Sunil Jaiswal , Chun Shen , Richard J. Furnstahl , Ulrich Heinz , Matthew T. Pratola

Background: Uncertainty quantification for nuclear theories has gained a more prominent role in the field, with more and more groups attempting to understand the uncertainties on their calculations. However, recent studies have shown that…

Nuclear Theory · Physics 2021-12-03 M. Catacora-Rios , G. B. King , A. E. Lovell , F. M. Nunes

Quantifying and reducing uncertainty in Earth system model parameterizations is essential to improving their reliability in decision-making. Forward uncertainty propagation is used to derive parameter sensitivity but requires physically…

Atmospheric and Oceanic Physics · Physics 2026-04-22 Ethan YoungIn Shin , Baris Kale , Michael F. Howland

In order to understand the positional uncertainties of arbitrary objects in several of the current major databases containing astrometric information, a sample of extragalactic radio sources with precise positions in the International…

Astrophysics · Physics 2009-10-31 Eric W. Deutsch

In this paper we address the problem of uncertainty management for robust design, and verification of large dynamic networks whose performance is affected by an equally large number of uncertain parameters. Many such networks (e.g. power,…

Computation · Statistics 2011-10-12 Amit Surana , Tuhin Sahai , Andrzej Banaszuk

Model uncertainties and simulation uncertainties occur in mathematical modeling of multiscale complex systems, since some mechanisms or scales are not represented (i.e., "unresolved") due to lack in our understanding of these mechanisms or…

Dynamical Systems · Mathematics 2008-11-25 Jinqiao Duan

Uncertainty in large language model (LLM)-based systems is often studied at the level of a single model output, yet deployed LLM applications are compound systems in which uncertainty is transformed and reused across model internals,…

Software Engineering · Computer Science 2026-04-28 Boming Xia , Liming Zhu , Erdun Gao , Qinghua Lu , Minhui Xue , Dino Sejdinovic

Substances such as chemical compounds are invisible to human eyes, they are usually captured by sensing equipments with their spectral fingerprints. Though spectra of pure chemicals can be identified by visual inspection, the spectra of…

Numerical Analysis · Mathematics 2015-01-07 Yuanchang Sun , Wensong Wu , Jack Xin

We present strategies to quantify theoretical uncertainties in modern ab-initio calculations of electromagnetic observables in light and medium-mass nuclei. We discuss how uncertainties build up from various sources, such as the…

Reliable estimation of predictive uncertainty is crucial for machine learning applications, particularly in high-stakes scenarios where hedging against risks is essential. Despite its significance, there is no universal agreement on how to…

Machine Learning · Computer Science 2025-06-17 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

In this paper, we present a formal quantification of epistemic uncertainty induced by numerical solutions of ordinary and partial differential equation models. Numerical solutions of differential equations contain inherent uncertainties due…

We describe a method for fitting distributions to data which only requires knowledge of the parametric form of either the signal or the background but not both. The unknown distribution is fit using a non-parametric kernel density…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Wolfgang A. Rolke , Angel M. López

The issue of asymmetric uncertainties resulting from fits, nonlinear propagation and systematic effects is reviewed. It is shown that, in all cases, whenever a published result is given with asymmetric uncertainties, the value of the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 G. D'Agostini

Nonlinear systems with model uncertainty are often described by stochastic differential equations. Some techniques from random dynamical systems are discussed. They are relevant to better understanding of solution processes of stochastic…

Dynamical Systems · Mathematics 2008-11-25 Jinqiao Duan

We use a 1D propagation model to study the dependence of the pbar and dbar exotic fluxes on the transport parameters. The simple analytical solutions allow us i) to clarify the origin of the astrophysical uncertainties, and ii) to compare…

Astrophysics · Physics 2009-01-21 D. Maurin , R. Taillet , C. Combet

The predictive capability of a plasma discharge model depends on accurate representations of electron-impact collision cross sections, which determine the key reaction rates and transport properties of the plasma. Although many cross…

Plasma Physics · Physics 2024-10-14 Seung Whan Chung , Todd A. Oliver , Laxminarayan L. Raja , Robert D. Moser

Since the prediction of climate is mainly considered as a prediction of second kind, it is indispensable to assess the accuracy with which these boundary conditions can be determined so that we can find a reasonable answer, whether climate…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Gerhard Kramm , Ralph Dlugi

Propagating nuclear uncertainties to nucleosynthesis simulations is key to understand the impact of theoretical uncertainties on the predictions, especially for processes far from the stability region, where nuclear properties are scarcely…

Solar and Stellar Astrophysics · Physics 2025-10-06 S. Martinet , G. Goriely , A. Choplin , L. Siess

Parity-violating polarized electron scattering from nucleons and nuclei provides an excellent tool to extract valuable information on nuclear and nucleon structure, as well as to determine Standard Model couplings and higher-order radiative…

Nuclear Theory · Physics 2015-04-15 O. Moreno , T. W. Donnelly , R. González-Jiménez , J. A. Caballero

We develop a novel application of hybrid information divergences to analyze uncertainty in steady-state subsurface flow problems. These hybrid information divergences are non-intrusive, goal-oriented uncertainty quantification tools that…

Probability · Mathematics 2019-07-05 Eric Joseph Hall , Markos A. Katsoulakis
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