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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

Saliency methods are a common class of machine learning interpretability techniques that calculate how important each input feature is to a model's output. We find that, with the rapid pace of development, users struggle to stay informed of…

Machine Learning · Computer Science 2023-06-01 Angie Boggust , Harini Suresh , Hendrik Strobelt , John V. Guttag , Arvind Satyanarayan

Reliable predictions from systems biology models require knowing whether parameters can be estimated from available data, and with what certainty. Identifiability analysis reveals whether parameters are learnable in principle (structural…

SHAP is a popular method for measuring variable importance in machine learning models. In this paper, we study the algorithm used to estimate SHAP scores and outline its connection to the functional ANOVA decomposition. We use this…

Methodology · Statistics 2022-11-14 Andrew Herren , P. Richard Hahn

Knowledge elicitation is one of the major bottlenecks in expert system design. Systems based on Bayes nets require two types of information--network structure and parameters (or probabilities). Both must be elicited from the domain expert.…

Artificial Intelligence · Computer Science 2013-04-05 Keung-Chi Ng , Bruce Abramson

We address the problem of parameter estimation in models of systems biology from noisy observations. The models we consider are characterized by simultaneous deterministic nonlinear differential equations whose parameters are either taken…

Machine Learning · Statistics 2017-05-01 Xin Liu , Mahesan Niranjan

When drawing causal inference from observational data, there is always concern about unmeasured confounding. One way to tackle this is to conduct a sensitivity analysis. One widely-used sensitivity analysis framework hypothesizes the…

Methodology · Statistics 2022-06-22 Bo Zhang , Eric J. Tchetgen Tchetgen

Agent-based models (ABMs) are widely used in biology to understand how individual actions scale into emergent population behavior. Modelers employ sensitivity analysis (SA) algorithms to quantify input parameters' impact on model outputs,…

Quantitative Methods · Quantitative Biology 2026-03-11 Edward H. Rohr , John T. Nardini

The recent advancements in mathematical modeling of biochemical systems have generated increased interest in sensitivity analysis methodologies. There are two primary approaches for analyzing these mathematical models: the stochastic…

Computation · Statistics 2025-10-14 Kannon Hossain , Roger Sidje , Fahad Mostafa

We present SAInT, a Python-based tool for visually exploring and understanding the behavior of Machine Learning (ML) models through integrated local and global sensitivity analysis. Our system supports Human-in-the-Loop (HITL) workflows by…

Machine Learning · Computer Science 2025-08-07 Manuela Schuler

Understanding the dynamics and evolution of climate change and associated uncertainties is key for designing robust policy actions. Computer models are key tools in this scientific effort, which have now reached a high level of…

Methodology · Statistics 2024-04-30 Matteo Fontana , Massimo Tavoni , Simone Vantini

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

Causal inference, especially in observational studies, relies on untestable assumptions about the true data-generating process. Sensitivity analysis helps us determine how robust our conclusions are when we alter these underlying…

Machine Learning · Computer Science 2026-05-11 Nikita Dhawan , Daniel Shen , Leonardo Cotta , Chris J. Maddison

Humans are emotional creatures. Multiple modalities are often involved when we express emotions, whether we do so explicitly (e.g., facial expression, speech) or implicitly (e.g., text, image). Enabling machines to have emotional…

Signal Processing · Electrical Eng. & Systems 2021-11-10 Sicheng Zhao , Guoli Jia , Jufeng Yang , Guiguang Ding , Kurt Keutzer

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

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

Simulation models are an absolute necessity in the human and social sciences, which can only very exceptionally use experimental science methods to construct their knowledge. Models enable the simulation of social processes by replacing the…

Computers and Society · Computer Science 2020-01-06 J. Raimbault , D. Pumain

We consider the problem where a modeller conducts sensitivity analysis of a model consisting of random input factors, a corresponding random output of interest, and a baseline probability measure. The modeller seeks to understand how the…

Risk Management · Quantitative Finance 2022-06-01 Silvana M. Pesenti

In observational studies, exposures are often continuous rather than binary or discrete. At the same time, sensitivity analysis is an important tool that can help determine the robustness of a causal conclusion to a certain level of…

Methodology · Statistics 2025-12-15 Jeffrey Zhang

Reliability-oriented sensitivity analysis methods have been developed for understanding the influence of model inputs relative to events which characterize the failure of a system (e.g., a threshold exceedance of the model output). In this…

Statistics Theory · Mathematics 2025-07-04 Marouane Il Idrissi , Vincent Chabridon , Bertrand Iooss