曲阜师范大学学报（自然科学版）2025，Vol.51Issue(4)：9-19,11.DOI:10.3969/j.issn.1001-5337.2025.4.009
计算机试验的设计理论和建模方法
Design and modeling of computer experiments
摘要
Abstract
Computer experiments simulate complex systems or processes to generate experimental data and develop analytical models,providing robust support for scientific research and technological innova-tion.This review article systematically examines the historical evolution,recent advances,and practical ap-plications of design theories and modeling techniques in computer experiments.Statisticians have developed surrogate models based on limited sample points to approximate the input-output relationships of black-box systems,effectively reducing experimental costs while accelerating research progress.To identify high-performance surrogate models,researchers have established design theories including space-filling designs for optimal experimental point selection.Furthermore,advanced modeling techniques such as response sur-face methodology and Gaussian processes have been employed to conduct comprehensive investigations into model calibration,parameter optimization,uncertainty quantification,and sensitivity analysis,yielding sig-nificant scientific advancements.关键词
空间填充设计/拉丁超立方体设计/均匀设计/高斯过程模型/Borehole函数Key words
space-filling design/Latin hypercube design/uniform design/Gaussian process model/bore-hole function分类
数理科学引用本文复制引用
王东莹,孙法省..计算机试验的设计理论和建模方法[J].曲阜师范大学学报（自然科学版）,2025,51(4):9-19,11.基金项目
国家自然科学基金(12371259,12101258,12271201) （12371259,12101258,12271201）
吉林省科技厅项目(YDZJ202401348ZYTS) （YDZJ202401348ZYTS）
吉林财经大学领航项目(2024LH001). （2024LH001）
