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Journal ArticleDOI

Improving variable-fidelity surrogate modeling via gradient-enhanced kriging and a generalized hybrid bridge function

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TLDR
It is shown that the gradient-enhanced GHBF proposed in this paper is very promising and can be used to significantly improve the efficiency, accuracy and robustness of VFM in the context of aero-loads prediction.
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This article is published in Aerospace Science and Technology.The article was published on 2013-03-01. It has received 313 citations till now. The article focuses on the topics: Surrogate model & Kriging.

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Journal ArticleDOI

Sliced Gradient-Enhanced Kriging for High-Dimensional Function Approximation and Aerodynamic Modeling

TL;DR: SGE-Kriging, a new method for reducing both the size of the correlation matrix and the number of hyper-parameters, is proposed, which features an accuracy and robustness that is comparable to the standard one but comes at much less training costs.

Uncertainty quantification and optimization under uncertainty using surrogate models

TL;DR: The results show that the proposed method improves the convergence monotonicity and produces more accurate surrogate models, when compared to random and quasi-random training point selection strategies, which makes the framework computationally viable.
Journal ArticleDOI

Smooth Things Come in Threes: A Diabatic Surrogate Model for Conical Intersection Optimization

TL;DR: In this article , a pseudodiabatic surrogate model based on Gaussian process regression is proposed, formed by three smooth and differentiable surfaces that can adequately reproduce the adiabatic surfaces.
Posted ContentDOI

Review of Multi-fidelity Models

TL;DR: Multi-fidelity models as mentioned in this paper integrate high fidelity and low fidelity models to obtain fast yet accurate predictions to obtain high accuracy and low computational cost, however, the savings achieved through these models depend highly on the problem.
References
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Journal ArticleDOI

The design and analysis of computer experiments

TL;DR: This paper presents a meta-modelling framework for estimating Output from Computer Experiments-Predicting Output from Training Data and Criteria Based Designs for computer Experiments.
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Principles of geostatistics

G. Matheron
- 01 Dec 1963 - 
TL;DR: In this article, the authors present a new science leading to such an approach, namely geostatistics, which is a new approach for estimating the estimation of ore grades and reserves.
Journal Article

A statistical approach to some basic mine valuation problems on the Witwatersrand

TL;DR: In this paper, the application of the lognormal curve to the frequency distribution of gold values is discussed, and some fundamental concepts in application of statistics to mine valuation on the Witwatersrand are discussed.
Journal ArticleDOI

Recent advances in surrogate-based optimization

TL;DR: The present state of the art of constructing surrogate models and their use in optimization strategies is reviewed and extensive use of pictorial examples are made to give guidance as to each method's strengths and weaknesses.
Journal ArticleDOI

A Trust Region Framework for Managing the Use of Approximation Models in Optimization

TL;DR: An analytically robust, globally convergent approach to managing the use of approximation models of varying fidelity in optimization, based on the trust region idea from nonlinear programming, which is shown to be provably convergent to a solution of the original high-fidelity problem.
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