报告题目：Construction of orthogonal-maxpro Latin hypercube designs

报 告 人：王亚平 教授 （华东师范大学）

报告时间：2024年06月14日（星期五） 9：00-10：30

报告地点：数学楼115（大报告厅） 

校内联系人：丛洪滋 教授   联系电话：84708354

报告摘要： Orthogonal Latin hypercube designs (LHDs) and maximum projection (MaxPro) LHDs are widely used in computer experiments. They are efficient for estimating the trend and Gaussian process (GP) parts of the universal Kriging (i.e. GP) model, respectively, especially when only some of the factors are active. However, the orthogonality is found, and the MaxPro criteria often do not agree with each other. Thus, a new class of optimal designs, orthogonal-MaxPro LHDs, is proposed, optimizing a well-defined multi-objective criterion combining the correlation and the MaxPro metrics. An efficient paralleled algorithm is developed via level permutations and expansions, whose efficiency is guaranteed by theories. Numerical results are presented to show that the construction is fast and the obtained designs are attractive, especially for large computer experiments.

报告人简介：王亚平，华东师范大学统计学院教授，博士生导师，主要研究方向为试验设计与分析，计算机试验，响应曲面设计，应用统计，在Annals of Statistics、Journal of the American Statistical Association、Biometrika、《中国科学》等期刊发表20余篇论文，并先后入选中国科协青年人才托举工程、国家高层次青年人才计划。