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工程设计学报
工程设计学报  2019, Vol. 26 Issue (2): 133-138    DOI: 10.3785/j.issn.1006-754X.2019.02.002
设计理论与方法学     
基于差距映射的变可信度近似模型构建方法
欧卫林1, 郑君2
1.华中光电技术研究所 武汉光电国家实验室， 湖北 武汉 430223
2.中国地质大学 工程学院， 湖北 武汉 430074
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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摘要： 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。
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.
收稿日期: 2018-01-02 出版日期: 2019-04-28
CLC:  TH 122  
基金资助: 国家自然科学基金青年基金资助项目（51505439）；中国博士后科学基金面上项目（2014M562085）
通讯作者: 郑君（1987—），女，湖北黄岗人，博士生，从事复杂工程产品设计优化、地质钻探装备等研究,E-mail：zjlucia1209@126.com，https://orcid.org/0000-0002-7487-8540     E-mail: zjlucia1209@126.com
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引用本文:

欧卫林, 郑君. 基于差距映射的变可信度近似模型构建方法[J]. 工程设计学报, 2019, 26(2): 133-138.

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

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