作者:Aamari, Eddie
作者单位:Centre National de la Recherche Scientifique (CNRS); Universite PSL; Ecole Normale Superieure (ENS)
作者:Simon, Horst; Azz, Mohammed El-Amine; El Moukari, Roy; Porcu, Emilio
作者单位:Khalifa University of Science & Technology
作者:Zhu, Fukang; Guo, Xiangyu
作者单位:Jilin University; Hebei University of Economics & Business
作者:Cheng, Bing; Tong, Howell
作者单位:Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; University of London; London School Economics & Political Science
作者:Sanna Passino, Francesco; Heard, Nicholas A.
作者单位:Imperial College London
作者:Whiteley, Nick; Gray, Annie; Rubin-Delanchy, Patrick
作者单位:University of Bristol; Alan Turing Institute; University of Edinburgh; Heriot Watt University; University of Edinburgh
作者:Tian, Ye; Xu, Hongquan
作者单位:Beijing University of Posts & Telecommunications; University of California System; University of California Los Angeles
摘要:Space-filling designs are widely used in computer experiments. We propose a stratified L2-discrepancy to evaluate the uniformity of a design when the design domain is stratified into various subregions. Weights are used to adjust preferences for the uniformity over subregions in each stratification. The stratified L2-discrepancy is easy to compute, satisfies a Koksma-Hlawka type inequality, and overcomes the curse of dimensionality that exists for other discrepancies. It is applicable to a bro...