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In this article, we develop a distributed variable screening method for generalized linear models. This method is designed to handle situations where both the sample size and the number of covariates are large. Specifically, the proposed…

Methodology · Statistics 2024-05-09 Tianbo Diao , Lianqiang Qu , Bo Li , Liuquan Sun

In presence of strong winds, wildfires feature nonlinear behavior, possibly inducing fire-spotting. We present a global sensitivity analysis of a new sub-model for turbulence and fire-spotting included in a wildfire spread model based on a…

Atmospheric and Oceanic Physics · Physics 2018-09-17 Andrea Trucchia , Vera Egorova , Gianni Pagnini , Mélanie C. Rochoux

This work introduces the use of multivariate global sensitivity analysis for assessing the impact of uncertain electric machine design parameters on efficiency maps and profiles. Contrary to the common approach of applying variance-based…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

Methodology · Statistics 2023-09-07 Valentin Vancak , Arvid Sjölander

The accuracy of probability distributions inferred using machine-learning algorithms heavily depends on data availability and quality. In practical applications it is therefore fundamental to investigate the robustness of a statistical…

Machine Learning · Statistics 2018-10-01 Christiane Goergen , Manuele Leonelli

The Worldwide LHC Computing Grid (WLCG) provides the robust computing infrastructure essential for the LHC experiments by integrating global computing resources into a cohesive entity. Simulations of different compute models present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Larissa Schmid , Maximilian Horzela , Valerii Zhyla , Manuel Giffels , Günter Quast , Anne Koziolek

In the field of computer experiments sensitivity analysis aims at quantifying the relative importance of each input parameter (or combinations thereof) of a computational model with respect to the model output uncertainty. Variance…

Computation · Statistics 2014-05-23 Bruno Sudret , Chu Van Mai

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

Numerical Analysis · Mathematics 2018-07-04 Steven Mattis , Barbara Wohlmuth

The use of surrogate models instead of computationally expensive simulation codes is very convenient in engineering. Roughly speaking, there are two kinds of surrogate models: the deterministic and the probabilistic ones. These last are…

Applications · Statistics 2015-12-24 Malek Ben Salem , Olivier Roustant , Fabrice Gamboa , Lionel Tomaso

Parameter sensitivity analysis is a powerful tool in the building and analysis of biochemical network models. For stochastic simulations, parameter sensitivity analysis can be computationally expensive, requiring multiple simulations for…

Computational Physics · Physics 2015-06-04 Patrick B. Warren , Rosalind J. Allen

Any performance analysis based on stochastic simulation is subject to the errors inherent in misspecifying the modeling assumptions, particularly the input distributions. In situations with little support from data, we investigate the use…

Probability · Mathematics 2018-04-12 Soumyadip Ghosh , Henry Lam

The simplest and most widely applied method for guaranteeing differential privacy is to add instance-independent noise to a statistic of interest that is scaled to its global sensitivity. However, global sensitivity is a worst-case notion…

Statistics Theory · Mathematics 2019-06-10 Mark Bun , Thomas Steinke

Considering the increasing size of available data, the need for statistical methods that control the finite sample bias is growing. This is mainly due to the frequent settings where the number of variables is large and allowed to increase…

Statistics Theory · Mathematics 2018-10-12 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

In climate systems, physiological models, optics, and many more, surrogate models are developed to reconstruct chaotic dynamical systems. We introduce four data-driven measures using global attractor properties to evaluate the quality of…

Computational Physics · Physics 2025-06-12 Luci Fumagalli , Kathy Lüdge , Jana de Wiljes , Heikki Haario , Lina Jaurigue

Computer models, also known as simulators, can be computationally expensive to run, and for this reason statistical surrogates, known as emulators, are often used. Any statistical model, including an emulator, should be validated before…

Methodology · Statistics 2021-01-26 Evan Baker , Peter Challenor , Matt Eames

Global sensitivity analysis is often impracticable for complex and time demanding numerical models, as it requires a large number of runs. The reduced-basis approach provides a way to replace the original model by a much faster to run code.…

Computation · Statistics 2011-02-25 Alexandre Janon , Maëlle Nodet , Clémentine Prieur

Surrogate models are used for global approximation of responses generated by expensive computer experiments like CFD applications. In this paper, we make use of structural similarities which are shared by a class of related problems. We…

Numerical Analysis · Mathematics 2012-06-20 Benjamin Rosenbaum , Volker Schulz

Chaos expansions are widely used in global sensitivity analysis (GSA), as they leverage orthogonal bases of L2 spaces to efficiently compute Sobol' indices, particularly in data-scarce settings. When derivatives are available, we argue that…

Statistics Theory · Mathematics 2025-10-06 O Roustant , N Lüthen , D Heredia , B Sudret

Standard estimators of the global average treatment effect can be biased in the presence of interference. This paper proposes regression adjustment estimators for removing bias due to interference in Bernoulli randomized experiments. We use…

Methodology · Statistics 2019-03-06 Alex Chin

We present an HSIC-based approach for global sensitivity analysis of broad classes of models with correlated and possibly function-valued inputs and outputs. To this end, we define the total HSIC sensitivity index: a bounded, interpretable,…

Statistics Theory · Mathematics 2026-03-03 Troy Larsen , Alen Alexanderian