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Related papers: Quantifying the Unknown

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The issue of how epistemic uncertainties affect the outcome of Monte Carlo simulation is discussed by means of a concrete use case: the simulation of the longitudinal energy deposition profile of low energy protons. A variety of…

Computational Physics · Physics 2010-12-16 Maria Grazia Pia , Marcia Begalli , Anton Lechner , Lina Quintieri , Paolo Saracco

The assessment of the reliability of Monte Carlo simulations is discussed, with emphasis on uncertainty quantification and the related impact on experimental results. Methods and techniques to account for epistemic uncertainties, i.e. for…

Computational Physics · Physics 2017-08-23 M. G. Pia , M. Batic , G. Hoff , P. Saracco , M. Begalli , M. Han , C. H Kim , H. Seo , S. Hauf , M. Kuster , L. Quintieri , G. Weidenspointner , A. Zoglauer

A set of physics models and parameters pertaining to the simulation of proton energy deposition in matter are evaluated in the energy range up to approximately 65 MeV, based on their implementations in the Geant4 toolkit. The analysis…

Computational Physics · Physics 2016-11-17 Maria Grazia Pia , Marcia Begalli , Anton Lechner , Lina Quintieri , Paolo Saracco

Many quantum technologies rely on high-precision dynamics, which raises the question of how these are influenced by the experimental uncertainties that are always present in real-life settings. A standard approach in the literature to…

Quantum Physics · Physics 2022-04-27 Mogens Dalgaard , Carrie A. Weidner , Felix Motzoi

The uncertainty of Compton backscattering process is studied by virtue of analytical formulas, and the special effects of variant energy spread and energy drift on the systematic uncertainty estimation are also studied with Monte Carlo…

High Energy Physics - Phenomenology · Physics 2013-12-13 X. H. Mo

In the study of complex systems, evaluating physical observables often requires sampling representative configurations via Monte Carlo techniques. These methods rely on repeated evaluations of the system's energy and force fields, which can…

Disordered Systems and Neural Networks · Physics 2025-07-02 Dimitrios Tzivrailis , Alberto Rosso , Eiji Kawasaki

In the context of Monte Carlo (MC) simulation of particle transport Uncertainty Quantification (UQ) addresses the issue of predicting non statistical errors affecting the physical results, i.e. errors deriving mainly from uncertainties in…

Computational Physics · Physics 2015-06-18 Paolo Saracco , Maria Grazia Pia

Future neutrino-oscillation experiments are expected to bring definite answers to the questions of neutrino-mass hierarchy and violation of charge-parity symmetry in the lepton sector. To realize this ambitious program it is necessary to…

High Energy Physics - Phenomenology · Physics 2017-05-15 Artur M Ankowski , Camillo Mariani

Uncertainty Quantification (UQ) is essential in probabilistic machine learning models, particularly for assessing the reliability of predictions. In this paper, we present a systematic framework for estimating both epistemic and aleatoric…

Machine Learning · Statistics 2025-09-11 Marzieh Ajirak , Anand Ravishankar , Petar M. Djuric

We introduce a theoretical framework for the calculation of uncertainties affecting observables produced by Monte Carlo particle transport, which derive from uncertainties in physical parameters input into simulation. The theoretical…

Data Analysis, Statistics and Probability · Physics 2014-01-17 Paolo Saracco , Maria Grazia Pia , Matej Batic

When a measurement of a physical quantity is reported, the total uncertainty is usually decomposed into statistical and systematic uncertainties. This decomposition is not only useful to understand the contributions to the total…

Data Analysis, Statistics and Probability · Physics 2024-03-18 Andrés Pinto , Zhibo Wu , Fabrice Balli , Nicolas Berger , Maarten Boonekamp , Émilien Chapon , Tatsuo Kawamoto , Bogdan Malaescu

Monte-Carlo nuclear reaction and transport codes are widely used to devise accelerator-based nuclear physics experiments; at the same time, many experiments are performed to validate the Monte-Carlo codes, which can be used for the design…

Accelerator Physics · Physics 2020-12-14 Vitaly Pronskikh

We apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate…

Methodology · Statistics 2025-09-04 P. Algikar , P. Sharma , M. Netto , L. Mili

The ideas of aleatoric and epistemic uncertainty are widely used to reason about the probabilistic predictions of machine-learning models. We identify incoherence in existing discussions of these ideas and suggest this stems from the…

Machine Learning · Computer Science 2025-08-19 Freddie Bickford Smith , Jannik Kossen , Eleanor Trollope , Mark van der Wilk , Adam Foster , Tom Rainforth

This paper introduces a new approach to quantify the impact of forward propagated demand and weather uncertainty on power system planning and operation models. Recent studies indicate that such sampling uncertainty, originating from demand…

Applications · Statistics 2020-11-17 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

Uncertainty representation and quantification are paramount in machine learning and constitute an important prerequisite for safety-critical applications. In this paper, we propose novel measures for the quantification of aleatoric and…

Machine Learning · Computer Science 2024-04-22 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

The quantification of aleatoric and epistemic uncertainty in terms of conditional entropy and mutual information, respectively, has recently become quite common in machine learning. While the properties of these measures, which are rooted…

Machine Learning · Computer Science 2023-06-27 Lisa Wimmer , Yusuf Sale , Paul Hofman , Bern Bischl , Eyke Hüllermeier

Machine learning models have emerged as a very effective strategy to sidestep time-consuming electronic-structure calculations, enabling accurate simulations of greater size, time scale and complexity. Given the interpolative nature of…

A scientometric analysis of Monte Carlo simulation and Monte Carlo codes has been performed over a set of representative scholarly journals related to radiation physics. The results of this study are reported and discussed. They document…

Computational Physics · Physics 2010-12-16 Maria Grazia Pia , Tullio Basaglia , Zane W. Bell , Paul V. Dressendorfer

An intercomparison of microdosimetric and nanodosimetric quantities simulated Monte Carlo codes is in progress with the goal of assessing the uncertainty contribution to simulated results due to the uncertainties of the electron interaction…

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