An improved approach for estimating the hyperparameters of the Kriging model for high-dimensional problems through the partial least squares method

DOI10.1155/2016/6723410zbMath1400.62110OpenAlexW2468770775WikidataQ59141095 ScholiaQ59141095MaRDI QIDQ1793472

Mohamed Amine Bouhlel, Nathalie Bartoli, Abdelkader Otsmane, Joseph Morlier

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/6723410

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11)

Related Items (7)

Efficient global optimization for high-dimensional constrained problems by using the Kriging models combined with the partial least squares method ⋮ Characterization of the dynamic behavior of structures using the kriging surrogate and experimental data ⋮ Past, current and future trends and challenges in non-deterministic fracture mechanics: a review ⋮ Two-layer adaptive surrogate-assisted evolutionary algorithm for high-dimensional computationally expensive problems ⋮ A novel and fully automated coordinate system transformation scheme for near optimal surrogate construction ⋮ Novel statistical emulator construction for volcanic ash transport model Ash3d with physically motivated measures ⋮ Handling of Constraints in Efficient Global Optimization

Uses Software

• EGO
• DiceKriging
• DiceOptim
• Scikit

Cites Work

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• Expected improvement in efficient global optimization through bootstrapped Kriging
• Constrained optimization in expensive simulation: novel approach
• Efficient global optimization of expensive black-box functions
• Structural optimization using kriging approximation
• Design and analysis of computer experiments. With comments and a rejoinder by the authors
• On the structure of partial least squares regression
• A Statistical View of Some Chemometrics Regression Tools
• Design and analysis of simulation experiments
• Spatial prediction and ordinary kriging

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