Sparse polynomial chaos expansions: Literature survey and benchmark
Sparse polynomial chaos expansions (PCE) are a popular surrogate modelling method that
takes advantage of the properties of PCE, the sparsity-of-effects principle, and powerful …
takes advantage of the properties of PCE, the sparsity-of-effects principle, and powerful …
Surrogate-assisted global sensitivity analysis: an overview
K Cheng, Z Lu, C Ling, S Zhou - Structural and Multidisciplinary …, 2020 - Springer
Surrogate models are popular tool to approximate the functional relationship of expensive
simulation models in multiple scientific and engineering disciplines. Successful use of …
simulation models in multiple scientific and engineering disciplines. Successful use of …
Polynomial-chaos-based Kriging
Computer simulation has become the standard tool in many engineering fields for designing
and optimizing systems, as well as for assessing their reliability. Optimization and …
and optimizing systems, as well as for assessing their reliability. Optimization and …
Metamodel-based sensitivity analysis: polynomial chaos expansions and Gaussian processes
Global sensitivity analysis is now established as a powerful approach for determining the
key random input parameters that drive the uncertainty of model output predictions. Yet the …
key random input parameters that drive the uncertainty of model output predictions. Yet the …
Introductory overview of identifiability analysis: A guide to evaluating whether you have the right type of data for your modeling purpose
Identifiability is a fundamental concept in parameter estimation, and therefore key to the
large majority of environmental modeling applications. Parameter identifiability analysis …
large majority of environmental modeling applications. Parameter identifiability analysis …
Uncertainty quantification and global sensitivity analysis of composite wind turbine blades
In this paper, a framework for uncertainty quantification (UQ) and global sensitivity analysis
(GSA) of composite wind turbine blades is presented. Because of the presence of …
(GSA) of composite wind turbine blades is presented. Because of the presence of …
A general framework for data-driven uncertainty quantification under complex input dependencies using vine copulas
Abstract Systems subject to uncertain inputs produce uncertain responses. Uncertainty
quantification (UQ) deals with the estimation of statistics of the system response, given a …
quantification (UQ) deals with the estimation of statistics of the system response, given a …
Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications
IA Kougioumtzoglou, I Petromichelakis… - Probabilistic Engineering …, 2020 - Elsevier
A review of theoretical concepts and diverse applications of sparse representations and
compressive sampling (CS) approaches in engineering mechanics problems is provided …
compressive sampling (CS) approaches in engineering mechanics problems is provided …
Polynomial chaos expansions for dependent random variables
JD Jakeman, F Franzelin, A Narayan, M Eldred… - Computer Methods in …, 2019 - Elsevier
Polynomial chaos expansions (PCE) are well-suited to quantifying uncertainty in models
parameterized by independent random variables. The assumption of independence leads to …
parameterized by independent random variables. The assumption of independence leads to …
Sparse polynomial chaos expansions via compressed sensing and D-optimal design
In the field of uncertainty quantification, sparse polynomial chaos (PC) expansions are
commonly used by researchers for a variety of purposes, such as surrogate modeling. Ideas …
commonly used by researchers for a variety of purposes, such as surrogate modeling. Ideas …