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In engineering, uncertainty propagation aims to characterise system outputs under uncertain inputs. For interval uncertainty, the goal is to determine output bounds given interval-valued inputs, which is critical for robust design…

Machine Learning · Computer Science 2026-03-24 Ghifari Adam Faza , Jolan Wauters , Fabio Cuzzolin , Hans Hallez , David Moens

Our knowledge on the three-dimensional momentum structure of hadrons is encoded in the Transverse Momentum Dependent partonic distribution and fragmentation functions (TMDs). A brief and updated review of the TMDs and of the processes in…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Boglione

We present a neural-network-based framework for modeling generalized parton distributions, referred to as NNGPD, in which GPDs are represented as flexible functions constrained through physically motivated integral relations. In this…

Ever since modeling has become a mature part of proton exchange membrane fuel cell (PEMFC) research and development, it has been plagued by significant uncertainty lying in the detailed knowledge of material properties required.…

Applied Physics · Physics 2019-09-11 Roman Vetter , Jürgen O. Schumacher

In this paper, I will explain in as simple and intuitive physical terms as possible what generalized parton distributions are, what new information about the structure of hadrons they convey and therefore what picture of the hadron will…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Freund

Accurately estimating uncertainties in neural network predictions is of great importance in building trusted DNNs-based models, and there is an increasing interest in providing accurate uncertainty estimation on many tasks, such as security…

Machine Learning · Computer Science 2020-07-14 Yukun Ding , Jinglan Liu , Jinjun Xiong , Yiyu Shi

Generalised parton distributions are instrumental to study both the three-dimensional structure and the energy-momentum tensor of the nucleon, and motivate numerous experimental programmes involving hard exclusive measurements. Based on a…

High Energy Physics - Phenomenology · Physics 2021-06-30 V. Bertone , H. Dutrieux , C. Mezrag , H. Moutarde , P. Sznajder

Deeply Virtual Compton Scattering and electroproduction of mesons involve amplitudes that are analytic in energy. Analyticity enables Dispersion Relations (DR's) for such amplitudes, relating real and imaginary parts. Lately it has been…

High Energy Physics - Phenomenology · Physics 2009-08-18 Gary R. Goldstein , Simonetta Liuti

Neutrino Deep Inelastic Scattering on nuclei is an essential process to constrain the strange quark parton distribution functions in the proton. The critical component on the way to using the neutrino DIS data in a proton PDF analysis is…

High Energy Physics - Phenomenology · Physics 2011-07-18 K. Kovarik

The accurate description of the internal structure of hadrons is a very challenging task. In order to compare the predictions with the highly-accurate experimental data, it is necessary to control any possible source of theoretical…

High Energy Physics - Phenomenology · Physics 2021-10-13 David F. Rentería-Estrada , Roger J. Hernández-Pinto , German F. R. Sborlini

Transverse-momentum-dependent parton distributions (TMDs) provide three-dimensional images of the partonic structure of the nucleon in momentum space. We made impressive progress in understanding TMDs, both from the theoretical and…

High Energy Physics - Phenomenology · Physics 2015-05-20 Alessandro Bacchetta

Distribution shift is an important concern in deep image classification, produced either by corruption of the source images, or a complete change, with the solution involving domain adaptation. While the primary goal is to improve accuracy…

Machine Learning · Statistics 2021-10-19 Tiago Salvador , Vikram Voleti , Alexander Iannantuono , Adam Oberman

Building on the first-ever application of neural networks in TMD phenomenology: "Extraction of the Sivers function with deep neural networks", we now present a momentum space, physics-informed deep learning framework for the direct…

High Energy Physics - Phenomenology · Physics 2026-05-05 I. P. Fernando , D. Keller

The generalized parton distributions, introduced nearly a decade ago, have emerged as a universal tool to describe hadrons in terms of quark and gluonic degrees of freedom. They combine the features of form factors, parton densities and…

High Energy Physics - Phenomenology · Physics 2009-09-29 A. V. Belitsky , A. V. Radyushkin

This paper investigates the crucial role of parton distribution functions (PDFs) in high-energy physics, particularly their impact on the extraction of generalized parton distributions (GPDs) at zero skewness. To this aim, we perform six…

High Energy Physics - Phenomenology · Physics 2026-03-23 The MMGPDs Collaboration , Fatemeh Irani , Muhammad Goharipour , K. Azizi

Uncertainty estimation for machine learning models is of high importance in many scenarios such as constructing the confidence intervals for model predictions and detection of out-of-distribution or adversarially generated points. In this…

Machine Learning · Computer Science 2022-05-06 Kirill Fedyanin , Evgenii Tsymbalov , Maxim Panov

A multifidelity method for the nonlinear propagation of uncertainties in the presence of stochastic accelerations is presented. The proposed algorithm treats the uncertainty propagation (UP) problem by separating the propagation of the…

Numerical Analysis · Mathematics 2025-08-19 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Francesco Sanfedino

Deep neural networks are often ignorant about what they do not know and overconfident when they make uninformed predictions. Some recent approaches quantify classification uncertainty directly by training the model to output high…

Machine Learning · Computer Science 2020-06-09 Murat Sensoy , Lance Kaplan , Federico Cerutti , Maryam Saleki

We develop the general formalism for the study of neutrino propagation in presence of stochastic media. This formalism allows the systematic derivation of evolution equations for averaged quantities as survival probabilities and higher…

High Energy Physics - Phenomenology · Physics 2009-12-30 E. Torrente-Lujan

Deep neural networks have shown great success in prediction quality while reliable and robust uncertainty estimation remains a challenge. Predictive uncertainty supplements model predictions and enables improved functionality of downstream…

Machine Learning · Computer Science 2021-12-02 Johanna Rock , Tiago Azevedo , René de Jong , Daniel Ruiz-Muñoz , Partha Maji