A0250
Title: Stratification pattern enumerator and its applications
Authors: Ye Tian - Beijing University of Posts and Telecommunications (China) [presenting]
Abstract: 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 to determine the space-filling pattern, which measures the stratification properties of designs on various subregions. A stratification pattern enumerator is proposed to characterise the stratification properties. The enumerator is easy to compute and can efficiently rank space-filling designs. It is shown that the stratification pattern enumerator is a linear combination of the space-filling pattern. Based on the connection, efficient algorithms are developed to calculate the space-filling pattern. In addition, a lower bound is established 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.
