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Variance-based sensitivity methods can provide insights into large computational models. We present a novel application of sensitivity analysis to the Biomass Scenario Model (BSM) a large and complex system dynamics model of the developing…

Applications · Statistics 2018-03-29 Daniel Inman , Laura J. Vimmerstedt , Brian Bush , Dana Stright , Steve Peterson

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

This paper develops methodology for local sensitivity analysis based on directional derivatives associated with spatial processes. Formal gradient analysis for spatial processes was elaborated in previous papers, focusing on distribution…

Statistics Theory · Mathematics 2015-03-31 Maria A. Terres , Alan E. Gelfand

Global sensitivity analysis with variance-based measures suffers from several theoretical and practical limitations, since they focus only on the variance of the output and handle multivariate variables in a limited way. In this paper, we…

Statistics Theory · Mathematics 2013-11-12 Sébastien Da Veiga

A new gradient-based adaptive sampling method is proposed for design of experiments applications which balances space filling, local refinement, and error minimization objectives while reducing reliance on delicate tuning parameters. High…

Methodology · Statistics 2024-05-09 Lucas Caparini , Gwynn J. Elfring , Mauricio Ponga

Residual marked empirical process-based tests are commonly used in regression models. However, they suffer from data sparseness in high-dimensional space when there are many covariates. This paper has three purposes. First, we suggest a…

Methodology · Statistics 2015-10-27 Xuehu Zhu , Xu Guo , Lixing Zhu

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

In this paper, we consider a regression model built on dependent variables. This regression modelizes an input output relationship. Under boundedness assumptions on the joint distribution function of the input variables, we show that a…

Statistics Theory · Mathematics 2012-03-14 Gaëlle Chastaing , Fabrice Gamboa , Clémentine Prieur

Variance-based sensitivity indices have established themselves as a reference among practitioners of sensitivity analysis of model output. It is not unusual to consider a variance-based sensitivity analysis as informative if it produces at…

In this paper we propose an extension of the classical Sobol' estimator for the estimation of variance based sensitivity indices. The approach assumes a linear correlation model between the input variables which is used to decompose the…

Methodology · Statistics 2024-08-12 Thomas Most

Context: Adaptive monitoring is a method used in a variety of domains for responding to changing conditions. It has been applied in different ways, from monitoring systems' customization to re-composition, in different application domains.…

Software Engineering · Computer Science 2018-09-05 Edith Zavala , Xavier Franch , Jordi Marco

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

High-dimensional changepoint inference that adapts to various change patterns has received much attention recently. We propose a simple, fast yet effective approach for adaptive changepoint testing. The key observation is that two…

Methodology · Statistics 2022-05-03 Guanghui Wang , Long Feng

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from derivative-based GSA, random field representation via…

Computation · Statistics 2019-08-19 Helen L. Cleaves , Alen Alexanderian , Hayley Guy , Ralph C. Smith , Meilin Yu

We describe two slice sampling methods for taking multivariate steps using the crumb framework. These methods use the gradients at rejected proposals to adapt to the local curvature of the log-density surface, a technique that can produce…

Computation · Statistics 2010-03-17 Madeleine Thompson , Radford M. Neal

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

The global sensitivity analysis of time-dependent processes requires history-aware approaches. We develop for that purpose a variance-based method that leverages the correlation structure of the problems under study and employs surrogate…

Computation · Statistics 2019-11-05 Alen Alexanderian , Pierre A. Gremaud , Ralph C. Smith

Complex computer codes are widely used in science to model physical systems. Sensitivity analysis aims to measure the contributions of the inputs on the code output variability. An efficient tool to perform such analysis are the…

Statistics Theory · Mathematics 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

Reliability sensitivity analysis is concerned with measuring the influence of a system's uncertain input parameters on its probability of failure. Statistically dependent inputs present a challenge in both computing and interpreting these…

Applications · Statistics 2023-06-21 Max Ehre , Iason Papaioannou , Daniel Straub
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