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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

Complex computer codes are often too time expensive to be directly used to perform uncertainty propagation studies, global sensitivity analysis or to solve optimization problems. A well known and widely used method to circumvent this…

Applications · Statistics 2008-04-06 Amandine Marrel , Bertrand Iooss , Francois Van Dorpe , Elena Volkova

The R package "sensobol" provides several functions to conduct variance-based uncertainty and sensitivity analysis, from the estimation of sensitivity indices to the visual representation of the results. It implements several…

Computation · Statistics 2021-12-06 Arnald Puy , Samuele Lo Piano , Andrea Saltelli , Simon A. Levin

Parameter sensitivity analysis is a powerful tool in the building and analysis of biochemical network models. For stochastic simulations, parameter sensitivity analysis can be computationally expensive, requiring multiple simulations for…

Computational Physics · Physics 2015-06-04 Patrick B. Warren , Rosalind J. Allen

Sensitivity analysis is an important tool used in many domains of computational science to either gain insight into the mathematical model and interaction of its parameters or study the uncertainty propagation through the input-output…

Methodology · Statistics 2023-06-02 Juraj Kardos , Wouter Edeling , Diana Suleimenova , Derek Groen , Olaf Schenk

Seismic fragility curves have been introduced as key components of Seismic Probabilistic Risk Assessment studies. They express the probability of failure of mechanical structures conditional to a seismic intensity measure and must take into…

Applications · Statistics 2022-10-13 Clement Gauchy , Cyril Feau , Josselin Garnier

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

In this study, we introduce a sensitivity analysis methodology for stochastic systems in chemistry, where dynamics are often governed by random processes. Our approach is based on gradient estimation via finite differences, averaging…

Quantitative Methods · Quantitative Biology 2026-01-12 Erika M. Herrera Machado , Jakob L. Andersen , Rolf Fagerberg , Daniel Merkle

The Gaussian Process Convolution Model (GPCM; Tobar et al., 2015a) is a model for signals with complex spectral structure. A significant limitation of the GPCM is that it assumes a rapidly decaying spectrum: it can only model smooth…

Machine Learning · Statistics 2022-04-15 Wessel P. Bruinsma , Martin Tegnér , Richard E. Turner

Given-data methods for variance-based sensitivity analysis have significantly advanced the feasibility of Sobol' index computation for computationally expensive models and models with many inputs. However, the limitations of existing…

Machine Learning · Statistics 2025-09-16 Teresa Portone , Bert Debusschere , Samantha Yang , Emiliano Islas-Quinones , T. Patrick Xiao

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

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

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

A novel information-theoretic approach is proposed to assess the global practical identifiability of Bayesian statistical models. Based on the concept of conditional mutual information, an estimate of information gained for each model…

Methodology · Statistics 2024-04-22 Sahil Bhola , Karthik Duraisamy

Characterizing the connection between material design decisions/parameters and their effective properties allows for accelerated materials development and optimization. We present a global sensitivity analysis of woven composite…

Computational Engineering, Finance, and Science · Computer Science 2021-04-29 Lincoln N. Collins , Scott A. Roberts

The method of derivative based global sensitivity measures (DGSM) has recently become popular among practitioners. It has a strong link with the Morris screening method and Sobol' sensitivity indices and has several advantages over them.…

Statistics Theory · Mathematics 2023-12-05 Serge Kucherenko , Bertrand Iooss

To validate the safety of automated vehicles (AV), scenario-based testing aims to systematically describe driving scenarios an AV might encounter. In this process, continuous inputs such as velocities result in an infinite number of…

Machine Learning · Computer Science 2022-12-08 Max Winkelmann , Mike Kohlhoff , Hadj Hamma Tadjine , Steffen Müller

This article presents an approach to Bayesian semiparametric inference for Gaussian multivariate response regression. We are motivated by various small and medium dimensional problems from the physical and social sciences. The statistical…

Methodology · Statistics 2020-06-18 Georgios Papageorgiou , Benjamin C. Marshall

When individuals participating in a randomized trial differ with respect to the distribution of effect modifiers compared compared with the target population where the trial results will be used, treatment effect estimates from the trial…

We consider estimation of the parameters of a Gaussian Stochastic Process (GaSP), in the context of emulation (approximation) of computer models for which the outcomes are real-valued scalars. The main focus is on estimation of the GaSP…

Statistics Theory · Mathematics 2017-08-17 Mengyang Gu , Xiaojing Wang , James O. Berger
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