报告题目：Optimal design criteria for computer experiments
报 告 人：孙法省教授 东北师范大学
报告地点：Tencent会议 ID：380 126 085
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.