Results 191 to 200 of about 3,355 (214)

Sequential Design of Experiment for Sparse Polynomial Chaos Expansions

SIAM/ASA Journal on Uncertainty Quantification, 2017
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Noura Fajraoui, Stefano Marelli, Bruno Sudret   +2 more
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On Moment Estimation From Polynomial Chaos Expansion Models

IEEE Control Systems Letters, 2021
Polynomial Chaos Expansions (PCEs) offer an efficient alternative to assess the statistical properties of a model output taking into account the statistical properties of several uncertain model inputs, particularly, under the restriction of probing the forward model as little as possible.
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A new efficient adaptive polynomial chaos expansion metamodel

2015 IEEE International Conference on Advanced Intelligent Mechatronics (AIM), 2015
To address the challenge of the accuracy and efficiency of the metamodel, an adaptive sequential polynomial chaos expansion (ASPCE) metamodel technique is presented. The Latin hypercube sampling (LHS) is used to obtain the initial samples. A new adaptive truncation strategy of polynomial chaos expansion (PCE) is presented for high order PCE, and the ...
Guangsong Chen, Linfang Qian, Jia Ma, Lei Ji   +3 more
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A STATISTICAL APPROACH FOR BUILDING SPARSE POLYNOMIAL CHAOS EXPANSIONS

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016
Over the last years, a lot of effort has been made to make existing uncertainty quantification techniques more efficient in high dimensions. An important class of methods relies on the assumption that the polynomial chaos representation of the model response is sparse.
Abraham, Simon Michel, Ghorbaniasl, Ghader, Lacor, Christian   +2 more
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Some greedy algorithms for sparse polynomial chaos expansions

Journal of Computational Physics, 2019
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Ricardo Baptista, Valentin Stolbunov, Prasanth B. Nair   +2 more
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Application of the Polynomial Chaos Expansion to the simulation of chemical reactors with uncertainties

Mathematics and Computers in Simulation, 2012
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Manuel Villegas, Florian Augustin, Albert Gilg, Ayoub Hmaidi, Utz Wever   +4 more
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Global sensitivity analysis using polynomial chaos expansions

Reliability Engineering & System Safety, 2008
Abstract Global sensitivity analysis (SA) aims at quantifying the respective effects of input random variables (or combinations thereof) onto the variance of the response of a physical or mathematical model. Among the abundant literature on sensitivity measures, the Sobol’ indices have received much attention since they provide accurate information ...
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Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

Computer Methods in Applied Mechanics and Engineering, 2022
Lixiong Cao, Jie Liu
exaly  

On distribution-based global sensitivity analysis by polynomial chaos expansion

Computers and Structures, 2022
Lukas Novak
exaly  

Polynomial Chaos Expansion

2021
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