Rotated Sphere Packing Designs
提出一类新的空间填充设计——旋转球体填充设计，通过优化球体排列实现最大最小距离准则、低差异性和投影均匀性，适用于预测和数值积分，并提供快速算法和R代码。
We propose a new class of space-filling designs called rotated sphere packing designs for computer experiments. The approach starts from the asymptotically optimal positioning of identical balls that covers the unit cube. Properly scaled, rotated, translated, and extracted, such designs are excellent in maximin distance criterion, low in discrepancy, good in projective uniformity and thus useful in both prediction and numerical integration purposes. We provide a fast algorithm to construct such designs for any numbers of dimensions and points with R codes available online. Theoretical and numerical results are also provided. Supplementary materials for this article are available online.