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Sensitivity analysis helps identify which model inputs convey the most uncertainty to the model output. One of the most authoritative measures in global sensitivity analysis is the Sobol' total-order index, which can be computed with…

Applications · Statistics 2021-07-30 Arnald Puy , William Becker , Samuele Lo Piano , Andrea Saltelli

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

Chaotic Dynamics · Physics 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

Sensitivity indices are commonly used to quantity the relative inuence of any specic group of input variables on the output of a computer code. In this paper, we focus both on computer codes the output of which is a cumulative distribution…

Statistics Theory · Mathematics 2020-07-27 Jean-Claude Fort , Thierry Klein , Agnès Lagnoux

The goal of this paper is to investigate an approach for derivative-free optimization that has not received sufficient attention in the literature and is yet one of the simplest to implement and parallelize. It consists of computing…

Optimization and Control · Mathematics 2021-02-22 Hao-Jun Michael Shi , Melody Qiming Xuan , Figen Oztoprak , Jorge Nocedal

In this paper, we study sensitivity indices for independent groups of variables and we look at the particular case of block-additive models. We show in this case that most of the Sobol indices are equal to zero and that Shapley effects can…

Statistics Theory · Mathematics 2018-12-12 Baptiste Broto , François Bachoc , Marine Depecker , Jean-Marc Martinez

Uncertainties exist in both physics-based and data-driven models. Variance-based sensitivity analysis characterizes how the variance of a model output is propagated from the model inputs. The Sobol index is one of the most widely used…

Methodology · Statistics 2020-06-09 Zhanlin Liu , Youngjun Choe

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

This paper addresses sensitivity analysis for dynamic models, linking dependent inputs to observed outputs. The usual method to estimate Sobol indices are based on the independence of input variables. We present a method to overpass this…

Applications · Statistics 2015-09-15 Mathilde Grandjacques , Alexandre Janon , Benoit Delinchant , Olivier Adrot

Adaptive random search approaches have been shown to be effective for global optimization problems, where under certain conditions, the expected performance time increases only linearly with dimension. However, previous analyses assume that…

Optimization and Control · Mathematics 2022-03-22 David D. Linz , Zelda B. Zabinsky

This study compares the performances of two sampling-based strategies for the simultaneous estimation of the first-and total-orders variance-based sensitivity indices (a.k.a Sobol' indices). The first strategy was introduced by [8] and is…

Applications · Statistics 2020-06-16 Ivano Azzini , Thierry Mara , Rossana Rosati

Understanding the dynamics and evolution of climate change and associated uncertainties is key for designing robust policy actions. Computer models are key tools in this scientific effort, which have now reached a high level of…

Methodology · Statistics 2024-04-30 Matteo Fontana , Massimo Tavoni , Simone Vantini

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…

The Shapley effects are global sensitivity indices: they quantify the impact of each input variable on the output variable in a model. In this work, we suggest new estimators of these sensitivity indices. When the input distribution is…

Statistics Theory · Mathematics 2020-02-14 Baptiste Broto , François Bachoc , Marine Depecker

In this exploratory note we ask the question of what a measure of performance for all tasks is like if we use a weighting of tasks based on a difficulty function. This difficulty function depends on the complexity of the (acceptable)…

Artificial Intelligence · Computer Science 2015-03-27 Jose Hernandez-Orallo

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 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

Speech activity detection (SAD), which often rests on the fact that the noise is "more" stationary than speech, is particularly challenging in non-stationary environments, because the time variance of the acoustic scene makes it difficult…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-29 Jens Heitkaemper , Joerg Schmalenstroeer , Reinhold Haeb-Umbach

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

Computational models of the cardiovascular system are increasingly used for the diagnosis, treatment, and prevention of cardiovascular disease. Before being used for translational applications, the predictive abilities of these models need…

Applications · Statistics 2024-01-11 Friederike Schäfer , Daniele E. Schiavazzi , Leif Rune Hellevik , Jacob Sturdy

Some classical uncertainty quantification problems require the estimation of multiple expectations. Estimating all of them accurately is crucial and can have a major impact on the analysis to perform, and standard existing Monte Carlo…

Methodology · Statistics 2022-12-02 Julien Demange-Chryst , François Bachoc , Jérôme Morio
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