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A sequential sparse polynomial chaos expansion using Voronoi exploration and local linear approximation exploitation for slope reliability analysis

, 2021
Polynomial chaos expansions (PCEs) have been extensively used to perform reliability analyses of slopes. The accuracy of a PCE metamodel is highly dependent on the experimental design samples, which are commonly selected according to their uniformity ...
Tao Yang, J. Zou, Q. Pan
semanticscholar   +1 more source

On the guaranteed accuracy of Polynomial Chaos Expansions

IEEE Conference on Decision and Control and European Control Conference, 2011
This paper is concerned with the efficient simulation of stochastic nonlinear dynamical systems. A technique based on Polynomial Chaos Expansion (PCE) theory is used, in order to estimate the time evolution of the stochastic properties of the variables of interest.
FAGIANO, LORENZO   +2 more
openaire   +3 more sources

Active sparse polynomial chaos expansion for system reliability analysis

Reliability Engineering & System Safety, 2020
Surrogate model techniques have been widely used for structural systems with expensively evaluated simulations. However, their application to system reliability problems meets the challenge since approximating multiple implicit performance functions is ...
Yicheng Zhou, Zhenzhou Lu, Wanying Yun
semanticscholar   +1 more source

Polynomial Chaos Expansion for Parametric Problems in Engineering Systems: A Review

IEEE Systems Journal, 2020
In engineering systems with uncertain parameters, it is crucial for system analysis and control to analyze the relationship between these uncertain parameters and system outputs (or states). Nevertheless, the acquisition of this parameter-output function,
Danfeng Shen   +3 more
semanticscholar   +1 more source

A sequential sparse polynomial chaos expansion using Bayesian regression for geotechnical reliability estimations

International journal for numerical and analytical methods in geomechanics (Print), 2020
Polynomial chaos expansions (PCEs) have been widely employed to estimate failure probabilities in geotechnical engineering. However, PCEs suffer from two deficiencies: (a) PCE coefficients are solved by the least‐square minimization method which easily ...
Q. Pan, Xing-ru Qu, Leilei Liu, D. Dias
semanticscholar   +1 more source

Stochastic thermal modeling by polynomial chaos expansion

19th International Workshop on Thermal Investigations of ICs and Systems (THERMINIC), 2013
In this paper an effective approach is proposed for generating stochastic compact thermal models of electronics components and packages. The approach exhibits high levels of accuracy for very small state space dimensions of the model. It is also efficient since it requires the solution of few deterministic thermal problems in the frequency domain.
CODECASA, LORENZO, DI RIENZO, LUCA
openaire   +2 more sources

Structure damage identification in dams using sparse polynomial chaos expansion combined with hybrid K-means clustering optimizer and genetic algorithm

Engineering structures, 2023
Li Yifei   +6 more
semanticscholar   +1 more source

Robust reliability-based topology optimization for stress-constrained continuum structures using polynomial chaos expansion

Structural And Multidisciplinary Optimization, 2023
Bo Yang   +4 more
semanticscholar   +1 more source

Compressive polynomial chaos expansion for multidimensional model maps

2015
Modern high-resolution numerical models used in engineering often produce multidimensional maps of outputs (e.g. nodal displacements on a FEM mesh) that may result in more than 105 highly correlated outputs for each set of model parameters. Most available metamodelling techniques, however, are not yet suitable for handling such large maps, including ...
Marelli, Stefano, Sudret, Bruno
openaire   +1 more source

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