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学术报告

Stratification pattern enumerator and its applications

田烨 特聘副研究员

（北京邮电大学）

报告时间： 2024年3月15日 (星期五) 下午3：30-4：30

报告地点 ：沙河主E706

报告摘要：Space-filling designs are widely used in computer experiments. A minimum aberration-type space-filling criterion was recently proposed to rank and assess a family of space-filling designs including orthogonal array-based Latin hypercubes and strong orthogonal arrays. However, it is difficult to apply the criterion in practice because it requires intensive computation for determining the space-filling pattern, which measures the stratification properties of designs on various subregions. In this article, we propose a stratification pattern enumerator to characterise the stratification properties. The enumerator is easy to compute and can efficiently rank space-filling designs. We show that the stratification pattern enumerator is a linear combination of the space-filling pattern. Based on the connection, we develop efficient algorithms for calculating the space-filling pattern. In addition, we establish a lower bound for the stratification pattern enumerator and present construction methods for designs that achieve the lower bound using multiplication tables over Galois fields. The constructed designs have good space-filling properties in low-dimensional projections and are robust under various criteria.

报告人简介：田烨，特聘副研究员，本科毕业于南开大学154.com皇冠统计学专业，2021年博士毕业于加利福尼亚大学洛杉矶分校统计系，目前就职于北京邮电大学理学院数学系,从事统计学理论中试验设计相关研究。在Biometrika, Journal of the Royal Statistical Society Series B:Statistical Methodology 上发表一作文章，研究方向主要包括均匀设计和偏差研究，具有分层性质的空间填充设计的研究、评价准则的提出、设计的构建，强正交表的研究，大数据抽样方法与试验设计方法的结合研究等。

邀请人： 罗雪