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Randomized controlled trials (RCT's) allow researchers to estimate causal effects in an experimental sample with minimal identifying assumptions. However, to generalize or transport a causal effect from an RCT to a target population,…

Methodology · Statistics 2022-02-08 Melody Huang

Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metrics often lack computational accessibility and…

Dynamical Systems · Mathematics 2026-02-09 Andreas Morr , Christian Kuehn , George Datseris

Analysis of spatial multivariate data, i.e., measurements at irregularly-spaced locations, is a challenging topic in visualization and statistics alike. Such data are integral to many domains, e.g., indicators of valuable minerals are…

Human-Computer Interaction · Computer Science 2023-08-15 Nikolaus Piccolotto , Markus Bögl , Christoph Muehlmann , Klaus Nordhausen , Peter Filzmoser , Silvia Miksch

Sensitivity analysis is a process of computing sensitivity indices, which are certain measures of importance of parameters in influencing the outputs of mathematical models. Sensitivity indices computed in variance-based sensitivity…

Computation · Statistics 2013-10-04 Tomasz Badowski

This work introduces a comprehensive approach to assess the sensitivity of model outputs to changes in parameter values, constrained by the combination of prior beliefs and data. This novel approach identifies stiff parameter combinations…

We provide an efficient method to approximate the covariance between decision variables and uncertain parameters in solutions to a general class of stochastic nonlinear complementarity problems. We also develop a sensitivity metric to…

Optimization and Control · Mathematics 2018-10-10 Sriram Sankaranarayanan , Felipe Feijoo , Sauleh Siddiqui

This paper presents a spatial Global Sensitivity Analysis (GSA) approach in a 2D shallow water equations based High Resolution (HR) flood model. The aim of a spatial GSA is to produce sensitivity maps which are based on Sobol index…

Applications · Statistics 2016-03-24 M Abily , N. Bertrand , O Delestre , P Gourbesville , C. -M. Duluc

Quantifying uncertainty in predictive simulations for real-world problems is of paramount importance - and far from trivial, mainly due to the large number of stochastic parameters and significant computational requirements. Adaptive sparse…

Computational Physics · Physics 2019-11-25 Ionut-Gabriel Farcas , Tobias Görler , Hans-Joachim Bungartz , Frank Jenko , Tobias Neckel

It is well-known that Sobol indices, which count among the most popular sensitivity indices, are based on the Sobol decomposition. Here we challenge this construction by redefining Sobol indices without the Sobol decomposition. In fact, we…

Machine Learning · Statistics 2026-03-23 Gildas Mazo

In recent years, attention mechanisms have significantly enhanced the performance of object detection by focusing on key feature information. However, prevalent methods still encounter difficulties in effectively balancing local and global…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Yifan Shao

Many real-world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally identifiable if it can be uniquely recovered from input and…

Classical Analysis and ODEs · Mathematics 2023-05-24 Hoon Hong , Alexey Ovchinnikov , Gleb Pogudin , Chee Yap

Global QCD analyses provide the primary framework for extracting hadron structure from experimental data, yet the mechanisms by which data constrain non-perturbative functions remain difficult to interpret due to the high dimensionality and…

High Energy Physics - Phenomenology · Physics 2026-05-01 Richard Whitehill

This article presents a general multivariate $f$-sensitivity index, rooted in the $f$-divergence between the unconditional and conditional probability measures of a stochastic response, for global sensitivity analysis. Unlike the…

Numerical Analysis · Mathematics 2015-12-09 Sharif Rahman

We study the problem of linear feature selection when features are highly correlated. Such settings pose two fundamental challenges. First, how should model similarity be defined? Simply counting features in common can be misleading: two…

Methodology · Statistics 2026-03-24 Xiaozhu Zhang , Jacob Bien , Armeen Taeb

Experimental designs based on the classical D-optimal criterion minimize the volume of the linear-approximation inference regions for the parameters using local sensitivity coefficients. For nonlinear models, these designs can be unreliable…

Methodology · Statistics 2021-01-22 Hana Sulieman

Crystal plasticity models are a powerful tool for predicting the deformation behaviour of polycrystalline materials accounting for the underlying grain morphology and texture. These models typically have a large number of parameters, an…

Materials Science · Physics 2023-12-20 Hugh Dorward , David M. Knowles , Eralp Demir , Mahmoud Mostafavi , Matthew J. Peel

Growing model complexities in load modeling have created high dimensionality in parameter estimations, and thereby substantially increasing associated computational costs. In this paper, a tensor-based method is proposed for identifying…

Optimization and Control · Mathematics 2020-03-10 You Lin , Yishen Wang , Jianhui Wang , Siqi Wang , Di Shi

The effect of inaccuracies in the parameters of a dynamic Bayesian network can be investigated by subjecting the network to a sensitivity analysis. Having detailed the resulting sensitivity functions in our previous work, we now study the…

Artificial Intelligence · Computer Science 2012-07-02 Theodore Charitos , Linda C. van der Gaag

Engineering risk is concerned with the likelihood of failure and the scenarios when it occurs. The sensitivity of failure probability to change in system parameters is relevant to risk-informed decision making. Computing sensitivity is at…

Methodology · Statistics 2025-12-19 Siu-Kui Au , Zi-Jun Cao

Sensitivity indices when the inputs of a model are not independent are estimated by local polynomial techniques. Two original estimators based on local polynomial smoothers are proposed. Both have good theoretical properties which are…

Methodology · Statistics 2008-12-18 Sébastien Da Veiga , François Wahl , Fabrice Gamboa
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