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The global sensitivity analysis of a complex numerical model often calls for the estimation of variance-based importance measures, named Sobol' indices. Metamodel-based techniques have been developed in order to replace the cpu…

Computation · Statistics 2011-04-22 Amandine Marrel , Bertrand Iooss , Michel Jullien , Beatrice Laurent , Elena Volkova

The presence of uncertainties are inevitable in engineering design and analysis, where failure in understanding their effects might lead to the structural or functional failure of the systems. The role of global sensitivity analysis in this…

Computation · Statistics 2017-10-24 Pramudita Satria Palar , Lavi Rizki Zuhal , Koji Shimoyama , Takeshi Tsuchiya

High-fidelity simulations and physical experiments are essential for engineering analysis and design, yet their high cost often makes two critical tasks--global sensitivity analysis (GSA) and optimization--prohibitively expensive. This…

Machine Learning · Computer Science 2026-01-01 Bach Do , Nafeezat A. Ajenifuja , Taiwo A. Adebiyi , Ruda Zhang

Global sensitivity analysis aims at quantifying the impact of input variability onto the variation of the response of a computational model. It has been widely applied to deterministic simulators, for which a set of input parameters has a…

Computation · Statistics 2021-06-01 X. Zhu , B. Sudret

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

This paper explores the application of active learning strategies to adaptively learn Sobol indices for global sensitivity analysis. We demonstrate that active learning for Sobol indices poses unique challenges due to the definition of the…

Machine Learning · Computer Science 2023-08-29 Mohit Chauhan , Mariel Ojeda-Tuz , Ryan Catarelli , Kurtis Gurley , Dimitrios Tsapetis , Michael D. Shields

Global sensitivity analysis of complex numerical simulators is often limited by the small number of model evaluations that can be afforded. In such settings, surrogate models built from a limited set of simulations can substantially reduce…

Machine Learning · Statistics 2026-01-21 Guerlain Lambert , Céline Helbert , Claire Lauvernet

Global sensitivity analysis (GSA) of functional-output models is usually performed by combining statistical techniques, such as basis expansions, metamodeling and sampling based estimation of sensitivity indices. By neglecting truncation…

Methodology · Statistics 2025-12-22 Yuri Taglieri Sáo , Olivier Roustant , Geraldo de Freitas Maciel

Multimodal sentiment analysis (MSA) leverages information fusion from diverse modalities (e.g., text, audio, visual) to enhance sentiment prediction. However, simple fusion techniques often fail to account for variations in modality…

Machine Learning · Computer Science 2025-10-03 Han Wu , Yanming Sun , Yunhe Yang , Derek F. Wong

Materials design can be cast as an optimization problem with the goal of achieving desired properties, by varying material composition, microstructure morphology, and processing conditions. Existence of both qualitative and quantitative…

Computational Physics · Physics 2019-07-08 Akshay Iyer , Yichi Zhang , Aditya Prasad , Siyu Tao , Yixing Wang , Linda Schadler , L Catherine Brinson , Wei Chen

Many real-world optimization problems are not naturally homogeneous vectors but composite design objects with heterogeneous parameters: integers, real values, Booleans, categoricals, complex-valued descriptors, and embedding vectors.…

Neural and Evolutionary Computing · Computer Science 2026-05-14 Alex Bogdan

Sensitivity to unmeasured confounding is not typically a primary consideration in designing treated-control comparisons in observational studies. We introduce a framework allowing researchers to optimize robustness to omitted variable bias…

Methodology · Statistics 2024-07-19 Melody Huang , Dan Soriano , Samuel D. Pimentel

Complex computer codes are widely used in science to model physical systems. Sensitivity analysis aims to measure the contributions of the inputs on the code output variability. An efficient tool to perform such analysis are the…

Statistics Theory · Mathematics 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

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…

We present the first application of a variance-based sensitivity analysis (SA) to a model that aims to predict the evolution and properties of the whole galaxy population. SA is a well-established technique in other quantitative sciences,…

Astrophysics of Galaxies · Physics 2020-01-08 Piotr Oleskiewicz , Carlton M. Baugh

Multimodal sentiment analysis (MSA) draws increasing attention with the availability of multimodal data. The boost in performance of MSA models is mainly hindered by two problems. On the one hand, recent MSA works mostly focus on learning…

Machine Learning · Computer Science 2021-11-17 Ying Zeng , Sijie Mai , Haifeng Hu

We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from derivative-based GSA, random field representation via…

Computation · Statistics 2019-08-19 Helen L. Cleaves , Alen Alexanderian , Hayley Guy , Ralph C. Smith , Meilin Yu

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

Sensitivity analyses reveal the influence of various modeling choices on the outcomes of statistical analyses. While theoretically appealing, they are overwhelmingly inefficient for complex Bayesian models. In this work, we propose…

The optimal design of nanoparticle synthesis protocols is often achieved via one-at-a-time experimental designs. Aside from covering a limited space for the possible input conditions, these methods neglect possible interaction between…

Materials Science · Physics 2020-06-23 M. Reza. Andalibi , Paul Bowen , Agnese Carino , Andrea Testino