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An Ensemble of Adaptive Surrogate Models Based on Local Error Expectations

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TLDR
The benchmark test functions and an application problem that deals with driving arm base of palletizing robot show that the proposed method can effectively improve the global and local prediction accuracy of the surrogate model.
Abstract
An ensemble of surrogate models with high robustness and accuracy can effectively avoid the difficult choice of surrogate model. However, most of the existing ensembles of surrogate models are constructed with static sampling methods. In this paper, we propose an ensemble of adaptive surrogate models by applying adaptive sampling strategy based on expected local errors. In the proposed method, local error expectations of the surrogate models are calculated. Then according to local error expectations, the new sample points are added within the dominating radius of the samples. Constructed by the RBF and Kriging models, the ensemble of adaptive surrogate models is proposed by combining the adaptive sampling strategy. The benchmark test functions and an application problem that deals with driving arm base of palletizing robot show that the proposed method can effectively improve the global and local prediction accuracy of the surrogate model.

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Citations
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Journal ArticleDOI

On efficient global optimization via universal Kriging surrogate models.

TL;DR: In this paper, the authors investigated the capability of the universal Kriging (UK) model for single-objective global optimization applied within an efficient global optimization (EGO) framework.
Journal ArticleDOI

Thermal Parameters Inversion Method for Concrete Dam Based on Optimal Temperature Measuring Point Selecting

TL;DR: In this paper , a two-stage thermal parameters inversion method for a concrete dam based on optimal temperature measuring point selection to improve the accuracy of parameters is proposed, and the results show that the proposed method is effective for improving the inversion accuracy and obtaining accurate parameters.
References
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Journal ArticleDOI

A note on a general definition of the coefficient of determination

TL;DR: In this article, a generalization of the coefficient of determination R2 to general regression models is discussed, and a modification of an earlier definition to allow for discrete models is proposed.
Journal ArticleDOI

Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance

TL;DR: In this paper, the root-mean-square error (RMSE) and the mean absolute error (MAE) were examined to describe average model-performance error, and it was shown that MAE is a more natural measure of average error than RMSE.
Book

Engineering Design via Surrogate Modelling: A Practical Guide

TL;DR: This chapter discusses the design and exploration of a Surrogate-based kriging model, and some of the techniques used in that process, as well as some new approaches to designing models based on the data presented.
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.
MonographDOI

Engineering Design via Surrogate Modelling

TL;DR: In this article, the authors propose a sampling approach to estimate the distribution of elementary effects and then use this information to construct a kriging model of the data set, which is then used for regression.
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