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工程设计学报
Chinese Journal of Engineering Design  2019, Vol. 26 Issue (2): 133-138    DOI: 10.3785/j.issn.1006-754X.2019.02.002
Design Theory and Methodology     
Difference mapping based variable-fidelity approximation modeling method
OU Wei-lin1, ZHENG Jun1,2
1.Wuhan National Laboratory for Optoelectronics, Central China Institute of Optoelectronic Technology， Wuhan 430223, China
2.Faculty of Engineering, China University of Geosciences, Wuhan 430074, China
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Abstract  In order to alleviate the conflict between computational complexity and accuracy in the design optimization of complex engineering products, a new difference mapping based variable-fidelity approximation modeling method based on least squares support vector regression was put forward, namely LSSVR with difference mapping framework (DMF-LSSVR), in order to achieve a highly accurate approximation model within a limited sample size. Its effectiveness was validated through several engineering cases. The results demonstrate that the proposed DMF-LSSVR achieves high predictive accuracy, which can provide theoretical basis for the design optimization of complex engineering products.

Received: 02 January 2018      Published: 28 April 2019
CLC:  TH 122  
  O 224  
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Cite this article:

OU Wei-lin, ZHENG Jun. Difference mapping based variable-fidelity approximation modeling method. Chinese Journal of Engineering Design, 2019, 26(2): 133-138.

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https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2019.02.002     OR     https://www.zjujournals.com/gcsjxb/Y2019/V26/I2/133


基于差距映射的变可信度近似模型构建方法

为缓解复杂工程产品设计优化中计算复杂度和计算精度之间的矛盾,结合最小二乘支持向量回归（least squares support vector regression，LSSVR）模型，提出一种基于差距映射的变可信度近似模型构建方法，即最小二乘支持向量回归差距映射（LSSVR with difference mapping framework，DMF-LSSVR）方法，以实现小样本条件下高精度近似模型的构建，并通过工程实例验证该方法的有效性。工程实例结果显示所提出的方法具有较高的预测精度,可为复杂工程产品的设计优化提供理论基础。
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