Results 131 to 140 of about 303 (161)
Impact of material property modifications on optical performance: a multidisciplinary study in the human eye under different intraocular pressures. [PDF]
Biomed Opt ExpressZahabi S +3 more
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Sparse polynomial chaos expansions for uncertainty propagation and sensitivity analysis
, 2015 openaire +3 more sources
Sparse polynomial chaos expansions for uncertainty quantification in applied sciences
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Structural reliability analysis by a Bayesian sparse polynomial chaos expansion
Structural Safety, 2021 Abstract Accurate computation of failure probability considering uncertain input parameters is very challenging within limited computational cost. An efficient surrogate model, referred to here as sparse variational Bayesian inference based polynomial chaos expansion (SVB-PCE), is formulated in this paper for reliability analysis. The sparsity in the
Biswarup Bhattacharyya
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Sparse polynomial chaos expansion based on D-MORPH regression
Applied Mathematics and Computation, 2018Abstract Polynomial chaos expansion (PCE) is widely used by engineers and modelers in various engineering fields for uncertainty analysis. The computational cost of full PCE is unaffordable for the “curse of dimensionality” of the expansion coefficients.
Kai Cheng, Zhenzhou Lu
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Sequential Design of Experiment for Sparse Polynomial Chaos Expansions
SIAM/ASA Journal on Uncertainty Quantification, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Noura Fajraoui +2 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), 2016Over 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 +2 more
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Some greedy algorithms for sparse polynomial chaos expansions
Journal of Computational Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ricardo Baptista +2 more
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Active sparse polynomial chaos expansion for system reliability analysis
Reliability Engineering & System Safety, 2020Abstract 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 required to estimate small failure probabilities.
Yicheng Zhou, Zhenzhou Lu, Wanying Yun
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