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数学学院、所2020年系列学术活动(第104场):孙法省教授 东北师范大学

发表于: 2020-06-30   点击: 

报告题目:Optimal design criteria for computer experiments

报 告 人:孙法省教授 东北师范大学

报告时间:2020年7月9日 9:00-10:00

报告地点:腾讯会议 ID:380 126 085

点击链接入会,或添加至会议列表:

https://meeting.tencent.com/s/51Ymc8FgbuU0

校内联系人:朱复康 fzhu@jlu.edu.cn


报告摘要:

Efficient designs are in high demand in practice for both computer and physical experiments. Space-filling designs are widely used in both computer and physical experiments. Existing designs may have bad low-dimensional projections, which is undesirable when only a few factors are active. We propose a new design criterion, called uniform projection criterion, by focusing on projection uniformity. We show that the average squared correlation metric is a function of the pairwise L2-distances between the rows only. We further explore the connections among 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. An application of uniform projection designs via a multidrug combination experiment also be given.


报告人简介:

孙法省,东北师范大学教授、博导,吉林省优秀教师。主要从事大数据抽样与分析、计算机试验设计与分析、及高维数据分析等方面的研究。获教育部自然科学二等奖、全国统计科学研究优秀成果奖、吉林省自然科学学术成果奖各一项。