基于差距映射的变可信度近似模型构建方法

Difference mapping based variable-fidelity approximation modeling method

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。

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.