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The optimal design of nanoparticle synthesis protocols is often achieved via one-at-a-time experimental designs. Aside from covering a limited space for the possible input conditions, these methods neglect possible interaction between…

Materials Science · Physics 2020-06-23 M. Reza. Andalibi , Paul Bowen , Agnese Carino , Andrea Testino

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

Sensitivity analysis (SA) is a procedure for studying how sensitive are the output results of large-scale mathematical models to some uncertainties of the input data. The models are described as a system of partial differential equations.…

Numerical Analysis · Mathematics 2017-01-20 Ivan Dimov , Rayna Georgieva

We present a systematic global sensitivity analysis using the Sobol method which can be utilized to rank the variables that affect two quantity of interests -- pore pressure depletion and stress change -- around a hydraulically-fractured…

Numerical Analysis · Computer Science 2018-12-11 A. Rezaei , K. B. Nakshatrala , F. Siddiqui , B. Dindoruk , M. Soliman

Every computer model depends on numerical input parameters that are chosen according to mostly conservative but rigorous numerical or empirical estimates. These parameters could for example be the step size for time integrators, a seed for…

Computational Physics · Physics 2020-09-11 Matthias Frey , Andreas Adelmann

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

High resolution (infra-metric) topographic data, including photogram-metric born 3D classified data, are becoming commonly available at large range of spatial extend, such as municipality or industrial site scale. This category of dataset…

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

One-dimensional Poincare inequalities are used in Global Sensitivity Analysis (GSA) to provide derivative-based upper bounds and approximations of Sobol indices. We add new perspectives by investigating weighted Poincare inequalities. Our…

Probability · Mathematics 2024-12-09 David Heredia , Aldéric Joulin , Olivier Roustant

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

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

The sensitivity of parameters in computational science problems is difficult to assess, especially for algorithms with multiple input parameters and diverse outputs. This work seeks to explore sensitivity analysis in the visualization…

Landslide run-out modeling involves various uncertainties originating from model input data. It is therefore desirable to assess the model's sensitivity. A global sensitivity analysis that is capable of exploring the entire input space and…

Fluid Dynamics · Physics 2021-08-17 Hu Zhao , Florian Amann , Julia Kowalski

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

Motivated by risk assessment of coastal flooding, we consider time-consuming simulators with a spatial output. The aim is to perform sensitivity analysis (SA), quantifying the influence of input parameters on the output. There are three…

There exist many methods for sensitivity analysis readily available to the practitioner. While each seeks to help the modeler answer the same general question -- How do sources of uncertainty or changes in the model inputs relate to…

Methodology · Statistics 2025-06-16 Devin Francom , Abigael Nachtsheim

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

High-fidelity simulations and physical experiments are essential for engineering analysis and design, yet their high cost often makes two critical tasks--global sensitivity analysis (GSA) and optimization--prohibitively expensive. This…

Machine Learning · Computer Science 2026-01-01 Bach Do , Nafeezat A. Ajenifuja , Taiwo A. Adebiyi , Ruda Zhang

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

Overland flow on agricultural fields may have some undesirable effects such as soil erosion, flood and pollutant transport. To better understand this phenomenon and limit its consequences, we developed a code using state-of-the-art…