题 目：Some results on space-filling criteria for computer experimental designs

主讲人：王亚平 博士

时 间：2020年10月31日（星期六）10:00--12:00

地 点：腾讯会议572 663 761

内 容：Space-filling designs are widely used in both computer and physical experiments. Column-orthogonality and maximin distance are two popular criteria for space-filling designs. We propose a new design criterion, called uniform projection criterion, by focusing on uniformity for design's low-dimensional projections. An application of uniform projection design to a multidrug combination experiment is given. We also explore the theoretical connections among the criteria column-orthogonality, maximin distance and projection uniformity. Based on these connections, we develop new lower and upper bounds for column-orthogonality and projection uniformity from the perspective of distance between design points. These results not only provide new theoretical justifications for each criterion but also help in finding better space-filling designs under multiple criteria.

报告人简介：王亚平，华东师范大学经济与管理学部统计学院助理教授，2013年于北京大学获得统计学本科学位，2018年于北京大学获得概率论与数理统计博士学位，博士期间曾经访问美国加州大学洛杉矶分校一年。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，应用统计等。