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In this paper, the sensitivity analysis of a single scale model is employed in order to reduce the input dimensionality of the related multiscale model, in this way, improving the efficiency of its uncertainty estimation. The approach is…

统计计算 · 统计学 2019-11-12 Anna Nikishova , Giovanni E. Comi , Alfons G. Hoekstra

For nonlinear supervised learning models, assessing the importance of predictor variables or their interactions is not straightforward because it can vary in the domain of the variables. Importance can be assessed locally with sensitivity…

统计方法学 · 统计学 2021-12-14 Topi Paananen , Michael Riis Andersen , Aki Vehtari

This paper deals with the reconstruction of small-amplitude perturbations in the electric properties (permittivity and conductivity) of a medium from boundary measurements of the electric field at a fixed frequency. The underlying model is…

数值分析 · 数学 2019-11-07 Marion Darbas , Jérémy Heleine , Stephanie Lohrengel

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

统计方法学 · 统计学 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

Multiscale, agent-based mathematical models of biological systems are often associated with model uncertainty and sensitivity to parameter perturbations. Here, three uncertainty and sensitivity analyses methods, that are suitable to use…

统计方法学 · 统计学 2020-12-24 Sara Hamis , Stanislav Stratiev , Gibin G Powathil

Sensitivity analysis is an important concept to analyze the influences of parameters in a system, an equation or a collection of data. The methods used for sensitivity analysis are divided into deterministic and statistical techniques.…

其他统计学 · 统计学 2019-12-25 Eduardo Vasconcelos , Adriano Souza , Kelvin Dias

In this paper, we aim to perform sensitivity analysis of set-valued models and, in particular, to quantify the impact of uncertain inputs on feasible sets, which are key elements in solving a robust optimization problem under constraints.…

Many trials are designed to collect outcomes at or around pre-specified times after randomization. If there is variability in the times when participants are actually assessed, this can pose a challenge to learning the effect of treatment,…

统计方法学 · 统计学 2024-10-28 Bonnie B. Smith , Yujing Gao , Shu Yang , Ravi Varadhan , Andrea J. Apter , Daniel O. Scharfstein

Nearly all statistical analyses that inform policy-making are based on imperfect data. As examples, the data may suffer from measurement errors, missing values, sample selection bias, or record linkage errors. Analysts have to decide how to…

统计方法学 · 统计学 2025-10-24 Adway S. Wadekar , Jerome P. Reiter

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…

Sensitivity analysis is widely used to assess the robustness of causal conclusions in observational studies, yet its interaction with the structure of measured covariates is often overlooked. When latent confounders cannot be directly…

统计方法学 · 统计学 2026-02-17 Abhinandan Dalal , Iris Horng , Yang Feng , Dylan S. Small

Studying the effects of one-way variation of any number of parameters on any number of output probabilities quickly becomes infeasible in practice, especially if various evidence profiles are to be taken into consideration. To provide for…

人工智能 · 计算机科学 2012-07-09 Silja Renooij , Linda C. van der Gaag

Engineers and computational scientists often study the behavior of their simulations by repeated solutions with variations in their parameters, which can be for instance boundary values or initial conditions. Through such simulation…

统计理论 · 数学 2020-02-27 Alejandro Ribes , Joachim Pouderoux , Bertrand Iooss

Rigorous, non-asymptotic bounds for the Puiseux expansion of the eigenvalue at infinity are given. Error analysis is provided. Further, the expected value of the eigenvector condition number of a randomly perturbed matrix is estimated. The…

数值分析 · 数学 2026-03-24 Hanna Blazhko , Michał Wojtylak

A sensitivity analysis in an observational study assesses the robustness of significant findings to unmeasured confounding. While sensitivity analyses in matched observational studies have been well addressed when there is a single outcome…

统计方法学 · 统计学 2015-11-05 Colin B. Fogarty , Dylan S. Small

Rare events play a key role in many applications and numerous algorithms have been proposed for estimating the probability of a rare event. However, relatively little is known on how to quantify the sensitivity of the probability with…

概率论 · 数学 2019-02-06 Paul Dupuis , Markos A. Katsoulakis , Yannis Pantazis , Luc Rey-Bellet

We address the problem of estimating steady-state quantities associated to systems of stochastic chemical kinetics. In most cases of interest these systems are analytically intractable, and one has to resort to computational methods to…

定量方法 · 定量生物学 2014-01-21 Andreas Milias-Argeitis , John Lygeros , Mustafa Khammash

Model-form uncertainty (MFU) in assumptions made during physics-based model development is widely considered a significant source of uncertainty; however, there are limited approaches that can quantify MFU in predictions extrapolating…

计算工程、金融与科学 · 计算机科学 2025-09-16 Teresa Portone , Rebekah D. White , Joseph L. Hart

Sensitivity analysis plays an important role in the understanding of complex models. It helps to identify influence of input parameters in relation to the outputs. It can be also a tool to understand the behavior of the model and then can…

计算工程、金融与科学 · 计算机科学 2013-01-01 David Garcia Sanchez , Bruno Lacarrière , Marjorie Musy , Bernard Bourges

We present a new procedure for conducting a sensitivity analysis in matched observational studies. For any candidate test statistic, the approach defines tilted modifications dependent upon the proposed strength of unmeasured confounding.…

统计方法学 · 统计学 2025-03-14 Colin B. Fogarty