An adaptive sequential experiment design method for model validation

作     者：Ke FANG Yuchen ZHOU Ping MA Ke FANG;Yuchen ZHOU;Ping MA

作者机构：Control and Simulation CenterHarbin Institute of TechnologyHarbin 150080China 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2020年第33卷第6期

页      面：1661-1672页

核心收录：

学科分类：08[工学] 082601[工学-武器系统与运用工程] 0826[工学-兵器科学与技术] 0802[工学-机械工程] 0825[工学-航空宇航科学与技术] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(No.61627810)。 

主　　题：Adaptive sequential experiment design Credibility distribution function Gaussian process model Metamodeling Model validation 

摘      要：Efficient experiment design is of great significance for the validation of simulation model with high nonlinearity and large input space.Excessive validation experiment raises the cost while insufficient test increases the risks of accepting an invalid model.In this paper,an adaptive sequential experiment design method combining global exploration criterion and local exploitation criterion is proposed.The exploration criterion utilizes discrepancy metric to improve the space-filling property of the design points while the exploitation criterion employs the leave one out error to discover informative points.To avoid the clustering of samples in the local region,an adaptive weight updating approach is provided to maintain the balance between exploration and exploitation.Besides,the credibility distribution function characterizing the relationship between the input and result credibility is introduced to support the model validation experiment design.Finally,six benchmark problems and an engineering case are applied to examine the performance of the proposed method.The experiments indicate that the proposed method achieves satisfactory performance for function approximation in accuracy and convergence.