Design of experiments,

Computer experiments,

Statistical aspects of digital twin.

Journal papers

Xu He and Peter Z. G. Qian (2011). Nested orthogonal array based Latin hypercube designs, Biometrika, 98: 721-731.

Xu He and Peter Z. G. Qian (2014). A central limit theorem for general orthogonal array based space-filling designs, Annals of Statistics, 42(5): 1725-1750.

Wei-Yin Loh, Xu He and Michael Man (2015). A regression tree approach to identifying subgroups with differential treatment effects, Statistics in Medicine, 34(11): 1818-1833.

Youngdeok Hwang, Xu He and Peter Z. G. Qian (2016). Sliced orthogonal array based Latin hypercube designs, Technometrics, 58(1): 50-61.

Xu He and Peter Z. G. Qian (2016). A central limit theorem for nested or sliced Latin hypercube designs, Statistica Sinica, 26: 1117-1128.

Xu He, Rui Tuo and C. F. Jeff Wu (2017). Optimization of multi-fidelity computer experiments via the EQIE criterion, Technometrics, 59(1): 58-68.

Xu He (2017). Rotated sphere packing designs, Journal of the American Statistical Association, 112(520): 1612-1622.

Xu He (2017). Interleaved lattice-based minimax distance designs, Biometrika, 104: 713-725.

Xiaodong Li, Xu He, Yuanzhen He, Hui Zhang, Zhong Zhang and Dennis K.J. Lin (2017). The design and analysis for the icing wind tunnel experiment of a new deicing coating, Journal of the American Statistical Association, 112(520): 1417-1429.

Shifeng Xiong*, Xu He, Yuanzhen He and Weiyan Mu (2018). Sensitivity analysis using permutations, Statistica Sinica, 28: 817-837.

Xu He and Peter Chien* (2018). On the instability issue of gradient-enhanced Gaussian process emulators for computer experiments, SIAM/ASA Journal on Uncertainty Quantification, 6(2): 627-644.

Jin Xu, Xu He*, Xiaojun Duan and Zhengming Wang (2018). Sliced Latin hypercube designs for computer experiments with unequal batch sizes, IEEE Access, 6: 60396-60402.

Xu He (2019). Sliced rotated sphere packing designs, Technometrics, 61(1): 66-76.

Xu He (2019). Interleaved lattice-based maximin distance designs, Biometrika, 106(2): 453-464.

Xu He (2021). Lattice-based designs possessing quasi-optimal separation distance on all projections, Biometrika, 108(2): 443-454.

Xu He and Fasheng Sun* (2024). Construction of high-dimensional high-separation distance designs, Journal of Statistical Planning and Inference, 232, 106150, DOI:10.1016/j.jspi.2024.106150.

Huaimin Diao, Dianpeng Wang, and Xu He* (2024). A distance metric-based space-filling subsampling method for nonparametric models, Electronic Journal of Statistics, 18(2): 3247-3273.

Xu He (2024). Efficient Kriging using interleaved lattice-based designs with low fill and high separation distance properties, SIAM/ASA Journal on Uncertainty Quantification, 12(4): 1113-1134.

Youran Qi, Xu He, Tzu-Hsiang Hung, and Peter Chien* (2024). A statistical Experimental design method for constructing deterministic sensing matrices for compressed sensing, Journal of Machine Learning Research, 25(277): 1-28. 

Jin Xu, Junpeng Gong, Xiaojun Duan, Zhengming Wang, and Xu He* (2025). Sequentially refined Latin hypercube designs with flexibly and adaptively chosen sample sizes, SIAM/ASA Journal on Uncertainty Quantification, 13(4): 1812-1827.

Tian Bai, Dianpeng Wang, Kuangqi Chen, and Xu He* (2026). Adaptive grid designs for classifying monotonic binary deterministic computer simulations, SIAM/ASA Journal on Uncertainty Quantification, to appear.

Packages

LatticeDesign，Xu He，https://CRAN.R-project.org/package=LatticeDesign

HDOMDesign, Xu He and Fasheng Sun，https://CRAN.R-project.org/package=HDOMDesign