A0718
Title: Cyclic SOAs and moving window criteria for space-filling designs
Authors: Cheng-Yu Sun - National Tsing Hua University (Taiwan) [presenting]
Wei-Chun Kang - National Tsing Hua University (Taiwan)
Abstract: Space-filling designs are essential in computer experiments to ensure that design points are uniformly distributed across the input space. Among them, strong orthogonal arrays (SOAs) are widely used for their stratification properties on fixed grids formed by collapsing adjacent factor levels. However, these grids lack flexibility and cannot adapt to local structures. A moving window approach is introduced that evaluates uniformity over sliding regions across the space. By specifying a window size and selecting a subset of positions, a more fine-grained space-filling criterion is defined that generalizes several existing methods. Within this framework, cyclic SOAs are further proposed: SOAs that preserve their stratification properties under cyclic shifts of factor levels. These designs exhibit a structural invariance that is particularly useful in settings involving periodicity or level relabeling. Their optimality properties are established, and construction methods are presented, positioning cyclic SOAs as a flexible and robust addition to the space-filling design toolkit.
