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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.…

Other Statistics · Statistics 2019-12-25 Eduardo Vasconcelos , Adriano Souza , Kelvin Dias

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 propose a cautious Bayesian variable selection routine by investigating the sensitivity of a hierarchical model, where the regression coefficients are specified by spike and slab priors. We exploit the use of latent variables to…

Methodology · Statistics 2022-06-20 Tathagata Basu , Matthias C. M. Troffaes , Jochen Einbeck

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

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

Variance based global sensitivity analysis measures the relevance of inputs to a single output using Sobol' indices. This paper extends the definition in a natural way to multiple outputs, directly measuring the relevance of inputs to the…

Statistics Theory · Mathematics 2025-03-25 Robert A. Milton , Solomon F. Brown

The sensitivities revealed by a sensitivity analysis of a probabilistic network typically depend on the entered evidence. For a real-life network therefore, the analysis is performed a number of times, with different evidence. Although…

Artificial Intelligence · Computer Science 2012-07-19 Silja Renooij , Linda C. van der Gaag

In global sensitivity analysis, the well known Sobol' sensitivity indices aim to quantify how the variance in the output of a mathematical model can be apportioned to the different variances of its input random variables. These indices are…

Statistics Theory · Mathematics 2018-01-11 Nazih Benoumechiara , Kevin Elie-Dit-Cosaque

Many methods are available for assessing the importance of omitted variables in linear regression. These methods typically make different, non-falsifiable assumptions. Hence the data alone cannot tell us which method is most appropriate.…

Econometrics · Economics 2026-02-05 Paul Diegert , Matthew A. Masten , Alexandre Poirier

Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

Neurons and Cognition · Quantitative Biology 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

Attribution methods can provide powerful insights into the reasons for a classifier's decision. We argue that a key desideratum of an explanation method is its robustness to input hyperparameters which are often randomly set or empirically…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Naman Bansal , Chirag Agarwal , Anh Nguyen

Spurious association arises from covariance between propensity for the treatment and individual risk for the outcome. For sensitivity analysis with stochastic counterfactuals we introduce a methodology to characterize uncertainty in causal…

Methodology · Statistics 2021-03-11 Brian Knaeble , Braxton Osting , Placede Tshiaba

We consider the estimation of measures of model performance in a target population when covariate and outcome data are available on a sample from some source population and covariate data, but not outcome data, are available on a simple…

Methodology · Statistics 2023-06-16 Jon A. Steingrimsson , Sarah E. Robertson , Issa J. Dahabreh

Deep neural networks (DNNs) have achieved superior performance in various prediction tasks, but can be very vulnerable to adversarial examples or perturbations. Therefore, it is crucial to measure the sensitivity of DNNs to various forms of…

Machine Learning · Statistics 2019-12-23 Hai Shu , Hongtu Zhu

Integrating advanced communication protocols in production has accelerated the adoption of data-driven predictive quality methods, notably machine learning (ML) models. However, ML models in image classification often face significant…

Machine Learning · Computer Science 2026-02-04 Lukas Bahr , Lucas Poßner , Konstantin Weise , Sophie Gröger , Rüdiger Daub

The state-of-the-art model for structured sentiment analysis casts the task as a dependency parsing problem, which has some limitations: (1) The label proportions for span prediction and span relation prediction are imbalanced. (2) The span…

Computation and Language · Computer Science 2022-03-22 Wenxuan Shi , Fei Li , Jingye Li , Hao Fei , Donghong Ji

AI models are often evaluated based on their ability to predict the outcome of interest. However, in many AI for social impact applications, the presence of an intervention that affects the outcome can bias the evaluation. Randomized…

Machine Learning · Computer Science 2025-11-18 Winston Chen , Michael W. Sjoding , Jenna Wiens

We propose a novel sensitivity analysis framework for linear estimators with identification failures that can be viewed as seeing the wrong outcome distribution. Our approach measures the degree of identification failure through the change…

Econometrics · Economics 2024-04-30 Jacob Dorn , Luther Yap

Observational studies are needed when experiments are not possible. Within study comparisons (WSC) compare observational and experimental estimates that test the same hypothesis using the same treatment group, outcome, and estimand.…

While sensitivity analysis improves the transparency and reliability of mathematical models, its uptake by modelers is still scarce. This is partially explained by its technical requirements, which may be hard to understand and implement by…

Applications · Statistics 2023-03-20 Arnald Puy , Pamphile T. Roy , Andrea Saltelli