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Sensitivity analysis (SA) and uncertainty quantification (UQ) are used to assess and improve engineering models. In this study, various methods of SA and UQ are described and applied in theoretical and practical examples for use in energy…

Applications · Statistics 2022-07-07 Majdi I. Radaideh , Mohammad I. Radaideh

This work introduces the use of multivariate global sensitivity analysis for assessing the impact of uncertain electric machine design parameters on efficiency maps and profiles. Contrary to the common approach of applying variance-based…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

Analysts often make visual causal inferences about possible data-generating models. However, visual analytics (VA) software tends to leave these models implicit in the mind of the analyst, which casts doubt on the statistical validity of…

Human-Computer Interaction · Computer Science 2021-07-29 Alex Kale , Yifan Wu , Jessica Hullman

Investigating relationships between variables in multi-dimensional data sets is a common task for data analysts and engineers. More specifically, it is often valuable to understand which ranges of which input variables lead to particular…

Machine Learning · Computer Science 2020-09-14 Johannes Knittel , Andres Lalama , Steffen Koch , Thomas Ertl

Decision tree ensembles (DTE) are a popular model for a wide range of AI classification tasks, used in multiple safety critical domains, and hence verifying properties on these models has been an active topic of study over the last decade.…

Artificial Intelligence · Computer Science 2026-05-14 S. Akshay , Chaitanya Garg , Ashutosh Gupta , Kuldeep S. Meel , Ajinkya Naik

The parameter space of dynamical systems arising in applications is often found to be high-dimensional and difficult to explore. We construct a fast algorithm to numerically analyze "quantitative features" of dynamical systems depending on…

Numerical Analysis · Mathematics 2008-07-15 Christian Kuehn

The use of simulation-based sensitivity analyses is fundamental to evaluate and compare candidate designs for future clinical trials. In this context, sensitivity analyses are especially useful to assess the dependence of important design…

Methodology · Statistics 2022-08-09 Larry Han , Andrea Arfe , Lorenzo Trippa

Computational models are quantitative representations of systems. By analyzing and comparing the outputs of such models, it is possible to gain a better understanding of the system itself. Though as the complexity of model outputs…

Machine Learning · Computer Science 2022-12-13 Colin G. Cess , Stacey D. Finley

Understanding the internal process of ConvNets is commonly done using visualization techniques. However, these techniques do not usually provide a tool for estimating the stability of a ConvNet against noise. In this paper, we show how to…

Computer Vision and Pattern Recognition · Computer Science 2015-11-17 Elnaz J. Heravi , Hamed H. Aghdam , Domenec Puig

Functional data analysis, which handles data arising from curves, surfaces, volumes, manifolds and beyond in a variety of scientific fields, is a rapidly developing area in modern statistics and data science in the recent decades. The…

Methodology · Statistics 2020-08-21 Xiaoke Zhang , Wu Xue , Qiyue Wang

In uncertainty quantification, a stochastic modelling is often applied, where parameters are substituted by random variables. We investigate linear dynamical systems of ordinary differential equations with a quantity of interest as output.…

Numerical Analysis · Mathematics 2019-09-23 Roland Pulch , Akil Narayan

Visual scene understanding is a fundamental task in computer vision that aims to extract meaningful information from visual data. It traditionally involves disjoint and specialized algorithms for different tasks that are tailored for…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Américo Pereira , Pedro Carvalho , Luís Côrte-Real

Visualization, from simple line plots to complex high-dimensional visual analysis systems, has established itself throughout numerous domains to explore, analyze, and evaluate data. Applying such visualizations in the context of simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-05 Jens Koenen , Marvin Petersen , Christoph Garth , Tim Gerrits

Identifying causal treatment (or exposure) effects in observational studies requires the data to satisfy the unconfoundedness assumption which is not testable using the observed data. With sensitivity analysis, one can determine how the…

Methodology · Statistics 2023-01-31 Yang Ou , Lu Tang , Chung-Chou H. Chang

Computational models have become a powerful tool in the quantitative sciences to understand the behaviour of complex systems that evolve in time. However, they often contain a potentially large number of free parameters whose values cannot…

Optimization and Control · Mathematics 2023-02-13 Thomas Gaskin , Grigorios A. Pavliotis , Mark Girolami

Simulation models often have parameters as input and return outputs to understand the behavior of complex systems. Calibration is the process of estimating the values of the parameters in a simulation model in light of observed data from…

Methodology · Statistics 2024-11-15 Özge Sürer

Given an unknown dynamic system such as a coupled harmonic oscillator with $n$ springs and point masses. We are often interested in gaining insights into its physical parameters, i.e. stiffnesses and masses, by observing trajectories of…

Machine Learning · Computer Science 2021-03-22 Gregory Barber , Mulugeta A. Haile , Tzikang Chen

In this paper we introduce paraglide, a visualization system designed for interactive exploration of parameter spaces of multi-variate simulation models. To get the right parameter configuration, model developers frequently have to go back…

Systems and Control · Computer Science 2011-10-25 Steven Bergner , Michael Sedlmair , Sareh Nabi , Ahmed Saad , Torsten Möller

Deep neural networks are a family of computational models that have led to a dramatical improvement of the state of the art in several domains such as image, voice or text analysis. These methods provide a framework to model complex,…

Machine Learning · Statistics 2018-02-12 Louis Falissard , Guy Fagherazzi , Newton Howard , Bruno Falissard

In the context of high performance finite element analysis, the cost of iteratively modifying a computational domain via re-meshing and restarting the analysis becomes time prohibitive as the size of simulations increases. In this paper, we…

Computational Engineering, Finance, and Science · Computer Science 2021-05-20 Corey Wetterer-Nelson , Kenneth E. Jansen , John A. Evans