Results 141 to 150 of about 303 (161)
Bayesian sparse polynomial chaos expansion for global sensitivity analysis [PDF]
Computer Methods in Applied Mechanics and Engineering, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thierry Mara, Qian Shao, Anis Younes
exaly +5 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Adaptive sparse polynomial chaos expansion based on least angle regression
Journal of Computational Physics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bruno Sudret, Geraud Blatman
exaly +2 more sources
Basis-Adaptive Sparse Polynomial Chaos Expansion for Probabilistic Power Flow [PDF]
IEEE Transactions on Power Systems, 2017 This paper introduces the basis-adaptive sparse polynomial chaos (BASPC) expansion to perform the probabilistic power flow (PPF) analysis in power systems. The proposed method takes advantage of three state-of-the-art uncertainty quantification methodologies reasonably: the hyperbolic scheme to truncate the infinite polynomial chaos (PC) series; the ...
Fei Ni, Fei Ni, Phuong Nguyen
exaly +3 more sources
Sparse Recovery via ℓ$_q$-Minimization for Polynomial Chaos Expansions
Numerical Mathematics: Theory, Methods and Applications, 2017Summary: In this paper we consider the algorithm for recovering sparse orthogonal polynomials using stochastic collocation via \({\ell_q}\) minimization. The main results include: 1) By using the norm inequality between \({\ell_q}\) and \({\ell_2}\) and the square root lifting inequality, we present several theoretical estimates regarding the ...
Guo, Ling, Liu, Yongle, Yan, Liang
openaire +2 more sources
An expanded sparse Bayesian learning method for polynomial chaos expansion
Mechanical Systems and Signal Processing, 2019Abstract Polynomial chaos expansion (PCE) has been proven to be a powerful tool for developing surrogate models in various engineering fields for uncertainty quantification. The computational cost of full PCE is unaffordable due to the “curse of dimensionality” of the expansion coefficients.
Kai Cheng, Yan Shi, Zhenzhou Lu
exaly +2 more sources
Sparse polynomial chaos expansions for uncertainty quantification in thermal tomography
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jan Sýkora, Jan Havelka
openaire +1 more source
A novel sparse polynomial chaos expansion technique with high adaptiveness for surrogate modelling
Applied Mathematical Modelling, 2023Beiyang Zhang, Yi-Qing Ni
exaly