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New global sensitivity measures based on quantiles of the output are introduced. Such measures can be used for global sensitivity analysis of problems in which quantiles are explicitly the functions of interest and for identification of…

Applications · Statistics 2016-08-09 Sergei Kucherenko , Shufang Song

Sensitivity indices are commonly used to quantify the relative influence of any specific group of input variables on the output of a computer code. One crucial question is then to decide whether a given set of variables has a significant…

Statistics Theory · Mathematics 2022-04-05 Thierry Klein , Nicolas Peteilh , Paul Rochet

This study demonstrates the capabilities of several methods for analyzing the sensitivity of neural networks to perturbations of the input data and interpreting their underlying mechanisms. The investigated approaches include the Sobol…

Numerical Analysis · Mathematics 2025-04-22 Jiaxuan Miao , Sergey Matveev

This article explains the usage of R package CausalModels, which is publicly available on the Comprehensive R Archive Network. While packages are available for sufficiently estimating causal effects, there lacks a package that provides a…

Methodology · Statistics 2023-07-19 Joshua Wolff Anderson , Cyril Rakovski

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

The estimation of variance-based importance measures (called Sobol' indices) of the input variables of a numerical model can require a large number of model evaluations. It turns to be unacceptable for high-dimensional model involving a…

Statistics Theory · Mathematics 2013-05-28 Matieyendou Lamboni , Bertrand Iooss , Anne-Laure Popelin , Fabrice Gamboa

Global sensitivity analysis (GSA) of numerical simulators aims at studying the global impact of the input uncertainties on the output. To perform the GSA, statistical tools based on inputs/output dependence measures are commonly used. We…

Statistics Theory · Mathematics 2019-02-20 Anouar Meynaoui , Amandine Marrel , Béatrice Laurent

In the context of air quality control, our objective is to quantify the impact of uncertain inputs such as meteorological conditions and traffic parameters on pollutant dispersion maps. It is worth noting that the majority of sensitivity…

This article presents a general multivariate $f$-sensitivity index, rooted in the $f$-divergence between the unconditional and conditional probability measures of a stochastic response, for global sensitivity analysis. Unlike the…

Numerical Analysis · Mathematics 2015-12-09 Sharif Rahman

Selection bias can occur when subjects are included or excluded in the analysis based upon some selection criteria for the study population. The bias can jeopardize the validity of the study and sensitivity analyses for assessing the effect…

Methodology · Statistics 2023-02-14 Stina Zetterstrom , Ingeborg Waernbaum

Stochastic simulators such as Monte-Carlo estimators are widely used in science and engineering to study physical systems through their probabilistic representation. Global sensitivity analysis aims to identify the input parameters which…

Statistics Theory · Mathematics 2013-06-03 Loic Le Gratiet

In the past decade, Sobol's variance decomposition have been used as a tool - among others - in risk management. We show some links between global sensitivity analysis and stochastic ordering theories. This gives an argument in favor of…

Statistics Theory · Mathematics 2014-07-22 Areski Cousin , Alexandre Janon , Véronique Maume-Deschamps , Ibrahima Niang

This exposition presents nimblewomble, a software package to perform wombling, or boundary analysis, using the nimble Bayesian hierarchical modeling language in the R statistical computing environment. Wombling is used widely to track…

Computation · Statistics 2025-04-11 Aritra Halder , Sudipto Banerjee

The global sensitivity analysis of a numerical model aims to quantify, by means of sensitivity indices estimate, the contributions of each uncertain input variable to the model output uncertainty. The so-called Sobol' indices, which are…

Statistics Theory · Mathematics 2019-11-26 Bertrand Iooss , Clémentine Prieur

It is well-known that Sobol indices, which count among the most popular sensitivity indices, are based on the Sobol decomposition. Here we challenge this construction by redefining Sobol indices without the Sobol decomposition. In fact, we…

Machine Learning · Statistics 2026-03-23 Gildas Mazo

Stochastic volatility (SV) models are nonlinear state-space models that enjoy increasing popularity for fitting and predicting heteroskedastic time series. However, due to the large number of latent quantities, their efficient estimation is…

Computation · Statistics 2021-12-02 Darjus Hosszejni , Gregor Kastner

The R package stochvol provides a fully Bayesian implementation of heteroskedasticity modeling within the framework of stochastic volatility. It utilizes Markov chain Monte Carlo (MCMC) samplers to conduct inference by obtaining draws from…

Computation · Statistics 2019-07-01 Gregor Kastner

Global sensitivity analysis of complex numerical models can be performed by calculating variance-based importance measures of the input variables, such as the Sobol indices. However, these techniques, requiring a large number of model…

Methodology · Statistics 2008-02-08 Amandine Marrel , Bertrand Iooss , Beatrice Laurent , Olivier Roustant

We show how to apply Sobol's method of global sensitivity analysis to measure the influence exerted by a set of nodes' evidence on a quantity of interest expressed by a Bayesian network. Our method exploits the network structure so as to…

Machine Learning · Statistics 2021-10-11 Rafael Ballester-Ripoll , Manuele Leonelli

We provide a hands-on introduction to optimized textual sentiment indexation using the R package sentometrics. Textual sentiment analysis is increasingly used to unlock the potential information value of textual data. The sentometrics…

Machine Learning · Statistics 2021-10-22 David Ardia , Keven Bluteau , Samuel Borms , Kris Boudt