一种归一化的代理模型精度指标  

A Normalized Accuracy Index for Surrogate Model

作　　者：张碧辉[1] 岳良明[2] 王军[1] Zhang Bihui;Yue Liangming;Wang Jun(Caihong UAV Technology Limited Company,China Academy of Aerospace Aerodynamics,Beijing 100074,China;The Second Research Institute,China Academy of Aerospace Aerodynamics,Beijing 100074,China)

机构地区：[1]中国航天空气动力技术研究院彩虹无人机科技有限公司,北京100074 [2]中国航天空气动力技术研究院第二研究所,北京100074

出　　处：《航空工程进展》2019年第5期587-592,627,共7页Advances in Aeronautical Science and Engineering

摘　　要：衡量代理模型精度的量化指标种类繁多,但是要横向对比不同种类数据的模型精度,常见的精度指标存在一些不足之处。分析现有代理模型精度指标的不足,提出一种“归一化绝对误差均值”指标;以某战术导弹模型为例,采用参考文献中的试验设计加点策略与交叉验证策略,建立11种气动参数的Kriging代理模型;通过对“归一化绝对误差均值”指标与相关性图进行比较,验证所提指标的有效性。结果表明:提出的指标不仅能够有效表征代理模型精度,而且能对不同种类数据进行横向对比,具有一定的应用价值。There are a considerable number of accuracy indexes for surrogate models to measure.However,most of these indexes are not capable of comparing surrogate models of different data types.The drawbacks of the existing indexes are firstly discussed.Then a new index named“Mean Normalized Absolute Error(MNEA)”is introduced.Kriging models of 11 different types of aerodynamic parameters from a tactical missile model are built,with the adding-points design of experiment method and cross-validation verification methods.The effectiveness of MNEA is verified by comparing the MNEA value and the correlation plots of the example,which proves that MNEA can be used to compare the accuracy of surrogate models of different data types.

关 键 词：代理模型 精度指标 KRIGING 气动参数 

分 类 号：V211[航空宇航科学与技术—航空宇航推进理论与工程]