The construction of uniform designs (UDs) has received much attention in computer experiments over the past decades, but most of the previous works obtain uniform designs over a U-type by lattice domain. Due to increasing demands for continuous factors, UDs over the continuous domain is in lack. Moreover, the uniformity can be further improved over a continuous domain. In this paper, we use coordinate descent methods with an initialization derived by threshold accepting (TA) algorithm to construct UDs over a continuous domain with Centered L2-discrepancy. The new UDs perform better than the recorded ones in several computer experiments by the Kriging modeling.
@article{arxiv.2301.10366,
title = {Construction of Uniform Designs over Continuous Domain in Computer Experiments},
author = {Jianfa Lai and Kai-Tai Fang and Xiaoling Peng and Yuxuan Lin},
journal= {arXiv preprint arXiv:2301.10366},
year = {2023}
}