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The primary scientific results of the future space-based gravitational wave interferometer LISA will come from the parameter inference of a large variety of gravitational wave sources. However, the presence of calibration errors could…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Etienne Savalle , Jonathan Gair , Lorenzo Speri , Stanislav Babak

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

It is generally known that counting statistics is not correctly described by a Gaussian approximation. Nevertheless, in neutron scattering, it is common practice to apply this approximation to the counting statistics; also at low counting…

Data Analysis, Statistics and Probability · Physics 2020-06-09 Jakob Lassa , Magnus Egede Bøggild , Per Hedegård , Kim Lefmann

We have quantified a short term instability budget for an optical frequency standard based on cold, freely expanding calcium atoms. Such systems are the subject of renewed interest due to their high frequency stability and relative…

Atomic Physics · Physics 2011-08-17 J. A. Sherman , C. W. Oates

Addressing the critical need for accurate prognostic biomarkers in cancer treatment, quantifying tumor-infiltrating lymphocytes (TILs) in non-small cell lung cancer (NSCLC) presents considerable challenges. Manual TIL quantification in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Nikita Shvetsov , Anders Sildnes , Masoud Tafavvoghi , Lill-Tove Rasmussen Busund , Stig Dalen , Kajsa Møllersen , Lars Ailo Bongo , Thomas K. Kilvaer

Noisy matrix completion aims at estimating a low-rank matrix given only partial and corrupted entries. Despite substantial progress in designing efficient estimation algorithms, it remains largely unclear how to assess the uncertainty of…

Machine Learning · Statistics 2019-11-15 Yuxin Chen , Jianqing Fan , Cong Ma , Yuling Yan

Explicit quantification of uncertainty in engineering simulations is being increasingly used to inform robust and reliable design practices. In the aerospace industry, computationally-feasible analyses for design optimization purposes often…

Fluid Dynamics · Physics 2019-11-13 Jayant Mukhopadhaya , Brian T. Whitehead , John F. Quindlen , Juan J. Alonso

When we use simulation to evaluate the performance of a stochastic system, the simulation often contains input distributions estimated from real-world data; therefore, there is both simulation and input uncertainty in the performance…

Methodology · Statistics 2020-11-10 Wei Xie , Barry L. Nelson , Russell R. Barton

This brief paper proposes an uncertainty quantification method for the periodic steady-state (PSS) analysis with both Gaussian and non-Gaussian variations. Our stochastic testing formulation for the PSS problem provides superior efficiency…

Computational Engineering, Finance, and Science · Computer Science 2016-11-18 Zheng Zhang , Tarek A. El-Moselhy , Paolo Maffezzoni , Ibrahim , M. Elfadel , Luca Daniel

Uncertainty quantification in neural network promises to increase safety of AI systems, but it is not clear how performance might vary with the training set size. In this paper we evaluate seven uncertainty methods on Fashion MNIST and…

Machine Learning · Computer Science 2021-11-19 Matias Valdenegro-Toro

A new dataset of atomic oxygen and molecular nitrogen number density profiles, along with thermospheric temperature profiles between 180 and 500 km, has been developed. These profiles are derived from solar occultation measurements made by…

We describe an efficient algorithm for calculating the statistics of weak lensing by large-scale structure based on a tiled set of independent particle-mesh N-body simulations which telescope in resolution along the line of sight. This…

Astrophysics · Physics 2008-11-26 Martin White , Wayne Hu

The vast majority of stochastic simulation models are imperfect in that they fail to exactly emulate real system dynamics. The inexactness of the simulation model, or model discrepancy, can impact the predictive accuracy and usefulness of…

Methodology · Statistics 2017-07-21 Matthew Plumlee , Henry Lam

The analysis of panel count data has garnered considerable attention in the literature, leading to the development of multiple statistical techniques. In inferential analysis, most works focus on leveraging estimating equation-based…

Methodology · Statistics 2025-10-08 Udita Goswami , Shuvashree Mondal

In the analysis of elastic-scattering experimental data, optical-model parameters (usually, depths of real and imaginary potentials) are fitted and conclusions are drawn analyzing their variations at bombardment energies close to the…

Nuclear Experiment · Physics 2015-03-16 Daniel Abriola , A. Arazi , J. Testoni , F. Gollan , G. V. Martí

We demonstrate that two approximations to the chi^2 statistic as popularly employed by observational astronomers for fitting Poisson-distributed data can give rise to intrinsically biased model parameter estimates, even in the high counts…

Astrophysics · Physics 2009-11-13 Philip J. Humphrey , Wenhao Liu , David A. Buote

The evaluation of the error to be attributed to cut efficiencies is a common question in the practice of experimental particle physics. Specifically, the need to evaluate the efficiency of the cuts for background removal, when they are…

Data Analysis, Statistics and Probability · Physics 2009-02-02 Gioacchino Ranucci

This paper explores optimal methods for obtaining one-dimensional (1D) powder pattern intensities from two-dimensional (2D) planar detectors with good estimates of their standard deviations. We describe methods to estimate uncertainties…

Materials Science · Physics 2014-09-12 Xiaohao Yang , Pavol Juhas , Simon J. L. Billinge

We study the coherent photoproduction of pseudoscalar mesons---particularly of neutral pions---placing special emphasis on the various sources that put into question earlier nonrelativistic-impulse-approximation calculations. These include:…

Nuclear Theory · Physics 2009-10-31 L. J. Abu-Raddad , J. Piekarewicz , A. J. Sarty , R. A. Rego
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