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Predictions from science and engineering models depend on several input parameters. Global sensitivity analysis quantifies the importance of each input parameter, which can lead to insight into the model and reduced computational cost;…

Numerical Analysis · Mathematics 2016-07-28 Paul G. Constantine , Paul Diaz

Global sensitivity metrics are essential tools for assessing parameter importance in complex models, particularly when precise information about parameter values is unavailable. In many cases, such metrics are used to provide parameter…

Statistics Theory · Mathematics 2025-11-19 Huiyan Zou , Allison L. Lewis

Predictions from science and engineering models depend on the values of the model's input parameters. As the number of parameters increases, algorithmic parameter studies like optimization or uncertainty quantification require many more…

Numerical Analysis · Mathematics 2015-10-16 Paul G. Constantine , Brian Zaharatos , Mark Campanelli

The Doyle-Fuller-Newman model is arguably the most ubiquitous electrochemical model in lithium-ion battery research. Since it is a highly nonlinear model, its input-output relations are still poorly understood. Researchers therefore often…

Battery management systems may rely on mathematical models to provide higher performance than standard charging protocols. Electrochemical models allow us to capture the phenomena occurring inside a lithium-ion cell and therefore, could be…

Computational Engineering, Finance, and Science · Computer Science 2020-05-12 Andrea Pozzi , Xiangzhong Xie , Davide M Raimondo , René Schenkendorf

The interactions between parameters, model structure, and outputs can determine what inferences, predictions, and control strategies are possible for a given system. Parameter space reduction and parameter estimation---and, more generally,…

Dynamical Systems · Mathematics 2018-02-16 Andrew F. Brouwer , Marisa C. Eisenberg

This paper examines the problem of estimating the parameters of a Lithium-Sulfur (LiS) battery from experimental cycling data. LiS batteries are attractive compared to traditional Lithium-Ion batteries, thanks largely to their potential to…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Chu Xu , Timothy Cleary , Guoxing Li , Donghai Wang , Hosam K. Fathy

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

Most engineering models contain several parameters, and the map from input parameters to model output can be viewed as a multivariate function. An active subspace is a low-dimensional subspace of the space of inputs that explains the…

Numerical Analysis · Mathematics 2014-02-18 Paul G. Constantine

Recently, a long-term model of HIV infection dynamics was developed to describe the entire time course of the disease. It consists of a large system of ODEs with many parameters, and is expensive to simulate. In the current paper, this…

Populations and Evolution · Quantitative Biology 2016-04-20 Tyson Loudon , Stephen Pankavich

We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering models. The structure of interest arises when functions vary primarily on a low-dimensional subspace of the…

Numerical Analysis · Mathematics 2020-01-08 Rémi Lam , Olivier Zahm , Youssef Marzouk , Karen Willcox

Many multivariate functions in engineering models vary primarily along a few directions in the space of input parameters. When these directions correspond to coordinate directions, one may apply global sensitivity measures to determine the…

Numerical Analysis · Mathematics 2014-07-28 Paul G. Constantine , Eric Dow , Qiqi Wang

Methane gas hydrates have increasingly become a topic of interest because of their potential as a future energy resource. There are significant economical and environmental risks associated with extraction from hydrate reservoirs, so a…

Numerical Analysis · Mathematics 2019-08-28 Mario Teixeira Parente , Steven Mattis , Shubhangi Gupta , Christian Deusner , Barbara Wohlmuth

Active learning is proposed for selection of the next operating points in the design of experiments, for identifying linear parameter-varying systems. We extend existing approaches found in literature to multiple-input multiple-output…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Robert Chin , Alejandro I. Maass , Nalika Ulapane , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe , Hayato Nakada

The global sensitivity analysis method, used to quantify the influence of uncertain input variables on the response variability of a numerical model, is applicable to deterministic computer code (for which the same set of input variables…

Methodology · Statistics 2009-06-08 Bertrand Iooss , Mathieu Ribatet , Amandine Marrel

Battery short-term electrical impedance behavior varies between linear, linear time-varying, or nonlinear at different operating conditions. Data-based electrical impedance modeling techniques often model the battery as a linear…

Systems and Control · Computer Science 2018-05-17 Rishi Relan , Koen Tiels , Jean-Marc Timmermans , Johan Schoukens

The velocity field and the height at the surface of a dynamic ice sheet are observed. The ice sheets are modeled by the full Stokes equations and shallow shelf/shelfy stream approximations. Time dependence is introduced by a kinematic free…

Computational Physics · Physics 2020-01-27 Gong Cheng , Per Lötstedt

Simulation models are nowadays indispensable to efficiently assess or optimize novel battery cell concepts during the development process. Electro-chemo-mechano models are widely used to investigate solid-state batteries during cycling and…

Materials Science · Physics 2024-08-13 Stephan Sinzig , Christoph P. Schmidt , Wolfgang A. Wall

This paper introduces a novel model-free approach to synthesize virtual sensors for the estimation of dynamical quantities that are unmeasurable at runtime but are available for design purposes on test benches. After collecting a dataset of…

Optimization and Control · Mathematics 2021-03-24 Daniele Masti , Daniele Bernardini , Alberto Bemporad

We focus on an efficient approach for quantification of uncertainty in complex chemical reaction networks with a large number of uncertain parameters. Parameter dimension reduction is accomplished by computing an active subspace that…

Chemical Physics · Physics 2019-03-11 M. Vohra , A. Alexanderian , H. Guy , S. Mahadevan
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