Opposition-based learning equilibrium optimizer with Levy flight and evolutionary population dynamics for high-dimensional global optimization problems

C Zhong, G Li, Z Meng, W He - Expert Systems with Applications, 2023 - Elsevier
The equilibrium optimizer (EO) is a recently proposed physics-based metaheuristic
algorithm inspired by the dynamic mass balance on a control volume. However, EO may …

Analytical robust design optimization based on a hybrid surrogate model by combining polynomial chaos expansion and Gaussian kernel

Y Liu, G Zhao, G Li, W He, C Zhong - Structural and Multidisciplinary …, 2022 - Springer
Robust design optimization (RDO) is one of the most popular methodologies in the presence
of uncertainties, which aims to provide an insensitive design configuration. However, the …

Investigation on uncertainty quantification of transonic airfoil using compressive sensing greedy reconstruction algorithms

H Handuo, S Yan**, Y Jianyang, L Yao… - Aerospace Science and …, 2024 - Elsevier
Uncertainty quantification constructs the stochastic responses of system output under
uncertainties. Traditional uncertainty quantification methods such as Monte Carlo and Full …

An adaptive data-driven subspace polynomial dimensional decomposition for high-dimensional uncertainty quantification based on maximum entropy method and …

W He, G Li, Y Zeng, Y Wang, C Zhong - Structural Safety, 2024 - Elsevier
Polynomial dimensional decomposition (PDD) is a surrogate method originated from the
ANOVA (analysis of variance) decomposition, and has shown powerful performance in …

A new polynomial chaos expansion method for uncertainty analysis with aleatory and epistemic uncertainties

W He, C Gao, G Li, J Zhou - Structural and Multidisciplinary Optimization, 2024 - Springer
The probability and evidence theories are frequently used tool to deal with the mixture of
aleatory and epistemic uncertainties. Due to the double-loop procedure for the mixed …

Global sensitivity analysis with limited data via sparsity-promoting D-MORPH regression: Application to char combustion

D Lee, E Lavichant, B Kramer - Journal of Computational Physics, 2024 - Elsevier
In uncertainty quantification, variance-based global sensitivity analysis quantitatively
determines the effect of each input random variable on the output by partitioning the total …

High-Performance Krawtchouk Polynomials of High Order Based on Multithreading

WN Flayyih, AH Al-sudani, BM Mahmmod… - Computation, 2024 - mdpi.com
Orthogonal polynomials and their moments serve as pivotal elements across various fields.
Discrete Krawtchouk polynomials (DKraPs) are considered a versatile family of orthogonal …

Global sensitivity analysis in the limited data setting with application to char combustion

D Lee, E Lavichant, B Kramer - arxiv preprint arxiv:2307.07486, 2023 - arxiv.org
In uncertainty quantification, variance-based global sensitivity analysis quantitatively
determines the effect of each input random variable on the output by partitioning the total …