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Global sensitivity analysis is used to quantify the influence of uncertain input parameters on the response variability of a numerical model. The common quantitative methods are applicable to computer codes with scalar input variables. This…

Applications · Statistics 2008-06-09 Bertrand Iooss , Mathieu Ribatet

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

Global sensitivity analysis (GSA) is frequently used to analyze the influence of uncertain parameters in mathematical models and simulations. In principle, tools from GSA may be extended to analyze the influence of parameters in statistical…

Computation · Statistics 2018-06-29 Joseph Hart , Julie Bessac , Emil Constantinescu

Complex computer codes are widely used in science and engineering to model physical phenomena. Furthermore, it is common that they have a large number of input parameters. Global sensitivity analysis aims to identify those which have the…

Statistics Theory · Mathematics 2013-07-09 Loic Le Gratiet , Claire Cannamela , Bertrand Iooss

Global sensitivity analysis aims at determining which uncertain input parameters of a computational model primarily drives the variance of the output quantities of interest. Sobol' indices are now routinely applied in this context when the…

Computation · Statistics 2017-05-30 R. Schöbi , B. Sudret

Biomechanical models often need to describe very complex systems, organs or diseases, and hence also include a large number of parameters. One of the attractive features of physics-based models is that in those models (most) parameters have…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Barbara Wirthl , Sebastian Brandstaeter , Jonas Nitzler , Bernhard A. Schrefler , Wolfgang A. Wall

Numerical simulators are widely used to model physical phenomena and global sensitivity analysis (GSA) aims at studying the global impact of the input uncertainties on the simulator output. To perform GSA, statistical tools based on…

Methodology · Statistics 2026-05-29 Anouar Meynaoui , Amandine Marrel , Béatrice Laurent

The presence of uncertainties are inevitable in engineering design and analysis, where failure in understanding their effects might lead to the structural or functional failure of the systems. The role of global sensitivity analysis in this…

Computation · Statistics 2017-10-24 Pramudita Satria Palar , Lavi Rizki Zuhal , Koji Shimoyama , Takeshi Tsuchiya

The complexity and size of state-of-the-art cell models have significantly increased in part due to the requirement that these models possess complex cellular functions which are thought--but not necessarily proven--to be important. Modern…

Neurons and Cognition · Quantitative Biology 2018-11-22 J. L. Hart , P. A. Gremaud , T. David

Predictions from science and engineering models depend on several input parameters. Global sensitivity analysis quantifies the importance of each input parameter, which can lead to insight into the model and reduced computational cost;…

Numerical Analysis · Mathematics 2016-07-28 Paul G. Constantine , Paul Diaz

Many mathematical models involve input parameters, which are not precisely known. Global sensitivity analysis aims to identify the parameters whose uncertainty has the largest impact on the variability of a quantity of interest. One of the…

Probability · Mathematics 2018-11-21 Pierre Etoré , Clémentine Prieur , Dang Khoi Pham , Long Li

The global sensitivity analysis method, used to quantify the influence of uncertain input variables on the response variability of a numerical model, is applicable to deterministic computer code (for which the same set of input variables…

Methodology · Statistics 2009-06-08 Bertrand Iooss , Mathieu Ribatet , Amandine Marrel

Sensitivity analyses of simulation ensembles determine how simulation parameters influence the simulation's outcome. Commonly, one global numerical sensitivity value is computed per simulation parameter. However, when considering 3D spatial…

Human-Computer Interaction · Computer Science 2024-08-08 Marina Evers , Simon Leistikow , Hennes Rave , Lars Linsen

Many mathematical models involve input parameters, which are not precisely known. Global sensitivity analysis aims to identify the parameters whose uncertainty has the largest impact on the variability of a quantity of interest (output of…

Statistics Theory · Mathematics 2013-03-27 Alexandre Janon , Thierry Klein , Agnes Lagnoux-Renaudie , Maëlle Nodet , Clémentine Prieur

Stochastic models are necessary for the realistic description of an increasing number of applications. The ability to identify influential parameters and variables is critical to a thorough analysis and understanding of the underlying…

Computation · Statistics 2016-11-29 Joseph L. Hart , Alen Alexanderian , Pierre A. Gremaud

Energy systems modellers often resort to simplified system representations and deterministic model formulations (i.e., not considering uncertainty) to preserve computational tractability. However, reduced levels of detail and neglected…

Physics and Society · Physics 2022-08-18 Maria Yliruka , Stefano Moret , Nilay Shah

In the framework of the estimation of safety margins in nuclear accident analysis, a quantitative assessment of the uncertainties tainting the results of computer simulations is essential. Accurate uncertainty propagation (estimation of…

Applications · Statistics 2019-01-01 Bertrand Iooss , Amandine Marrel

Models with high-dimensional parameter spaces are common in many applications. Global sensitivity analyses can provide insights on how uncertain inputs and interactions influence the outputs. Many sensitivity analysis methods face…

Applications · Statistics 2023-02-27 Haochen Ye , Robert E. Nicholas , Vivek Srikrishnan , Klaus Keller

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 global sensitivity analysis of a complex numerical model often calls for the estimation of variance-based importance measures, named Sobol' indices. Metamodel-based techniques have been developed in order to replace the cpu…

Computation · Statistics 2011-04-22 Amandine Marrel , Bertrand Iooss , Michel Jullien , Beatrice Laurent , Elena Volkova
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