计算机集成制造系统 ›› 2026, Vol. 32 ›› Issue (5): 1734-1743.DOI: 10.13196/j.cims.2025.0016

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基于IDW-Kriging差异分析的代理模型样本自适应构建方法

武溟暄1,2,曾伟2,葛晓波1+,邵晓东1   

  1. 1.西安电子科技大学高性能电子装备机电集成制造全国重点实验室
    2.中国航空无线电电子研究所
  • 出版日期:2026-05-31 发布日期:2026-06-09
  • 作者简介:
    武溟暄(2000-),男,河北保定人,助理工程师,硕士,研究方向:虚拟制造、人机工效等,E-mail:wumx@stu.xidian.edu.cn;

    曾伟(1988-),男,湖南郴州人,工程师,硕士,研究方向:机载通信数据链总体设计,E-mail:nwpu_zeng_wei@163.com;

    +葛晓波(1982-),男,陕西宝鸡人,助理研究员,博士,研究方向:CAD/CAE/虚拟现实技术等,通讯作者,E-mail:ghitman@163.com;

    邵晓东(1970-),男,浙江绍兴人,教授,博士,博士生导师,研究方向:CAD/CAE/虚拟现实技术等,E-mail:shao_xiao_dong@163.com。
  • 通讯作者简介:葛晓波(1982-),男,陕西宝鸡人,助理研究员,博士,研究方向:CAD/CAE/虚拟现实技术等,通讯作者,E-mail:ghitman@163.com
  • 基金资助:
    国家自然科学基金面上资助项目(52275160)。

Adaptive construction method for surrogate model samples based on IDW-Kriging difference analysis

WU Mingxuan1,2,ZENG Wei2,GE Xiaobo1+,SHAO Xiaodong1   

  1. 1.State Key Laboratory of Electromechanical Integrated Manufacturing of High-performance Electronic Equipment,Xidian University
    2.China National Aeronautical Radio Electronics Research Institute
  • Online:2026-05-31 Published:2026-06-09
  • Supported by:
    Project supported by the National Natural Science Foundation,China (No.52275160).

摘要: 采用代理模型方法处理具有显著梯度变化的数据集时,在极值点附近的预测值与实际值之间存在显著误差,这限制了其在工程应用中的有效性。尽管增加样本数量可以在一定程度上缓解此问题,但效果有限。同时,样本数量的过度增加会导致代理模型算法的计算效率显著下降。因此,最佳解决方案是在数据集的极值或拐点位置附近自适应地增加插值样本数据。为此,提出了一种基于 IDW-Kriging 差异分析的样本自适应构建方法。通过对样本数据进行IDW-Kriging差异分析,识别潜在的极值点,并在这些位置自适应地增加采样点,从而构建出更为精确的代理模型样本集合。通过某喷气式飞机的实例验证了所提方法的有效性。验证结果表明,与一次性采样方法相比,在相同数据量条件下,所提自适应样本数据的预测精度提高了68%,而在极值位置处的最大计算误差则下降了22.9 dBsm。

关键词: 自适应采样, 反距离插值, 克里金插值, 雷达截面积

Abstract: When surrogate models are applied to datasets with significant gradient variations,substantial discrepancies often arise between predicted and actual values near extremum points.These inaccuracies severely limit their effectiveness in engineering applications.Although increasing the sample size can mitigate this issue to some extent,the improvement is often marginal,and excessive sampling can significantly reduce computational efficiency.The optimal solution lies in adaptively adding interpolation sample points near the extremum or inflection points of the dataset.A novel sample adaptive construction method based on IDW-Kriging difference analysis was introduced.By leveraging the differences between IDW and Kriging surrogate models,the potential extremum points were identified,and the additional sampling points were adaptively introduced at these critical locations.This approach enabled the construction of a more precise surrogate model dataset.The effectiveness of the proposed method was validated through a jet aircraft case study.Experimental results demonstrated that compared to conventional one-time sampling methods,the proposed adaptive sampling approach improved prediction accuracy by 68% under equivalent data volumes.Moreover,the maximum computational errors at extremum points were reduced by 22.9 dBsm.

Key words: adaptive sampling, inverse distance weighting, Kriging interpolation, radar cross section

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