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Global sensitivity analysis is the main quantitative technique for identifying the most influential input variables in a numerical simulation model. In particular when the inputs are independent, Sobol' sensitivity indices attribute a…

Statistics Theory · Mathematics 2021-01-15 Sébastien da Veiga

Global sensitivity analysis aims at quantifying the impact of input variability onto the variation of the response of a computational model. It has been widely applied to deterministic simulators, for which a set of input parameters has a…

Computation · Statistics 2021-06-01 X. Zhu , B. Sudret

We define and study a generalization of Sobol sensitivity indices for the case of a vector output.

Applications · Statistics 2013-04-18 Fabrice Gamboa , Alexandre Janon , Thierry Klein , Agnès Lagnoux

The variance-based method of global sensitivity indices based on Sobol sensitivity indices became very popular among practitioners due to its easiness of interpretation. For complex practical problems computation of Sobol indices generally…

Numerical Analysis · Mathematics 2016-06-03 Sergei Kucherenko , Shufang Song

This paper explores the application of active learning strategies to adaptively learn Sobol indices for global sensitivity analysis. We demonstrate that active learning for Sobol indices poses unique challenges due to the definition of the…

Machine Learning · Computer Science 2023-08-29 Mohit Chauhan , Mariel Ojeda-Tuz , Ryan Catarelli , Kurtis Gurley , Dimitrios Tsapetis , Michael D. Shields

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

Sensitivity analysis (SA) is an important aspect of process automation. It often aims to identify the process inputs that influence the process output's variance significantly. Existing SA approaches typically consider the input-output…

Methodology · Statistics 2020-06-09 Zhanlin Liu , Ashis G. Banerjee , Youngjun Choe

Global sensitivity analysis of a numerical code, more specifically estimation of Sobol indices associated with input variables, generally requires a large number of model runs. When those demand too much computation time, it is necessary to…

Analysis of PDEs · Mathematics 2012-01-16 Alexandre Janon , Maëlle Nodet , Clémentine Prieur

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…

Global sensitivity analysis is a set of methods aiming at quantifying the contribution of an uncertain input parameter of the model (or combination of parameters) on the variability of the response. We consider here the estimation of the…

Statistics Theory · Mathematics 2020-01-22 Viet Chi Tran , Gwenaëlle Castellan , Anthony Cousien , Chi Tran

Simulations are becoming ever more common as a tool for designing complex products. Sensitivity analysis techniques can be applied to these simulations to gain insight, or to reduce the complexity of the problem at hand. However, these…

Other Computer Science · Computer Science 2017-02-03 Tom Van Steenkiste , Joachim van der Herten , Ivo Couckuyt , Tom Dhaene

We present a comprehensive R software ivmodel for analyzing instrumental variables with one endogenous variable. The package implements a general class of estimators called k- class estimators and two confidence intervals that are fully…

Applications · Statistics 2020-07-09 Hyunseung Kang , Yang Jiang , Qingyuan Zhao , Dylan S. Small

In this paper, we introduce new indices adapted to outputs valued in general metric spaces. This new class of indices encompasses the classical ones; in particular, the so-called Sobol indices and the Cram{\'e}r-von-Mises indices.…

Statistics Theory · Mathematics 2021-01-21 Fabrice Gamboa , Thierry Klein , Agnès Lagnoux , Leonardo Moreno

We present vir, an R package for variational inference with shrinkage priors. Our package implements variational and stochastic variational algorithms for linear and probit regression models, the use of which is a common first step in many…

Computation · Statistics 2021-02-18 Suchit Mehrotra , Arnab Maity

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

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

Methodology · Statistics 2024-04-01 Sizhu Lu , Peng Ding

Traditionally, the sensitivity analysis of a Bayesian network studies the impact of individually modifying the entries of its conditional probability tables in a one-at-a-time (OAT) fashion. However, this approach fails to give a…

Artificial Intelligence · Computer Science 2024-06-11 Rafael Ballester-Ripoll , Manuele Leonelli

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

The following paper presents nonprobsvy -- an R package for inference based on non-probability samples. The package implements various approaches that can be categorized into three groups: prediction-based approach, inverse probability…

Methodology · Statistics 2025-08-21 Łukasz Chrostowski , Piotr Chlebicki , Maciej Beręsewicz

We propose a holistic framework for constructing sensitivity measures for any elicitable functional $T$ of a response variable. The sensitivity measures, termed score-based sensitivities, are constructed via scoring functions that are…

Applications · Statistics 2023-02-03 Tobias Fissler , Silvana M. Pesenti