基于空间分割的代理模型并行序列采样方法  

A parallel sequential sampling method for surrogate modeling based on design space partition

作　　者：王新晶 刘德峰 高亮[1] 李欣 WANG Xinjing;LIU Defeng;GAO Liang;LI Xin(School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,China;Beijing Changcheng Aeronautic Measurement and Control Technology Research Institute,Aviation Industry Corporation of China,Ltd.,Beijing 101111,China;Aviation Key Laboratory of Science and Technology on Special Condition Monitoring Sensor Technology,Beijing 101111,China)

机构地区：[1]华中科技大学机械科学与工程学院,湖北武汉430074 [2]中国航空工业集团公司北京长城航空测控技术研究所,北京101111 [3]状态监测特种传感技术航空科技重点实验室,北京101111

出　　处：《华中科技大学学报（自然科学版）》2022年第6期61-67,共7页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：华中科技大学学术前沿青年团队资助项目(2017QYTD04)。

摘　　要：针对当前代理模型序列采样缺少并行采样策略、无法有效利用并行计算资源的问题,提出了一种基于空间分割的代理模型并行序列采样方法.利用Voronoi图将设计空间分割为与样本数量相同的子空间,每个样本的交叉验证误差作为对应子空间的误差指标,利用蒙特卡罗法计算每个子空间的尺寸作为稀疏性指标.以两种指标的权重和计算子空间的样本需求度,确定须要增加样本的目标子空间.每个目标子空间增加一个样本,新增样本同时考虑与该子空间中已有样本及与本次迭代中已加入样本的空间距离,避免样本聚集.通过测试不同权重系数对采样结果的影响得出较优参数,通过对比并行采样与随机采样策略验证其效果.最后,通过与一次性采样和若干序列采样方法对比,验证了所提出并行采样方法的有效性.Most sequential sampling methods cannot choose sample points in parallel,and then effectively utilize parallel computing resources.A parallel sequential sampling method for surrogate modeling based on design space partition(PSS-DSP) was proposed.PSS-DSP divided design space into a number of subspaces by using Voronoi diagram,and the number of subspaces was the same as that of sample points.The cross-validation error of each point was regarded as the error index of each subspace.The size of each subspace was evaluated by Monte Carlo method,which was regarded as the sparsity index.The targeted subspaces were determined by calculating the weight sum of the two indexes.Each targeted subspace added a new point at one iteration.A newly added point was chosen based on the distances to the existing point in this subspace and to the points that have been chosen in this iteration.The strategy avoided the aggregation of the new points. The better value of the weight was investigated by comparing the results on different test problems.The effectiveness of the parallel sampling strategy was validated by comparing it with a random sampling strategy.Finally,the superiority of PSS-DSP was verified by comparing it with one-step and sequential sampling methods.

关 键 词：代理模型 序列采样 昂贵黑箱问题 试验设计 VORONOI图 并行计算 

分 类 号：TH164[机械工程—机械制造及自动化]