Uniform projection designs

F Sun, Y Wang, H Xu - 2019 - projecteuclid.org
Efficient designs are in high demand in practice for both computer and physical experiments.
Existing designs (such as maximin distance designs and uniform designs) may have bad …

OPTIMAL MAXIMIN L₁-DISTANCE LATIN HYPERCUBE DESIGNS BASED ON GOOD LATTICE POINT DESIGNS

L Wang, Q **ao, H Xu - The Annals of Statistics, 2018 - JSTOR
Maximin distance Latin hypercube designs are commonly used for computer experiments,
but the construction of such designs is challenging. We construct a series of maximin Latin …

A partial decomposition cutting method with CF-discrepancy for points selection in stochastic seismic analysis of structures

Y Zhang, J Xu - Structural Safety, 2024 - Elsevier
The probability density evolution method is renowned for its effectiveness in conducting
stochastic seismic response analyses of structures with uncertain parameters. Within this …

On design orthogonality, maximin distance, and projection uniformity for computer experiments

Y Wang, F Sun, H Xu - Journal of the American Statistical …, 2022 - Taylor & Francis
Abstract Space-filling designs are widely used in both computer and physical experiments.
Column-orthogonality, maximin distance, and projection uniformity are three basic and …

A study of orthogonal array-based designs under a broad class of space-filling criteria

G Chen, B Tang - The Annals of Statistics, 2022 - projecteuclid.org
Space-filling designs based on orthogonal arrays are attractive for computer experiments for
they can be easily generated with desirable low-dimensional stratification properties …

A method of constructing maximin distance designs

W Li, MQ Liu, B Tang - Biometrika, 2021 - academic.oup.com
An attractive type of space-filling design for computer experiments is the class of maximin
distance designs. Algorithmic search is commonly used for finding such designs, but this …

Column-orthogonal strong orthogonal arrays of strength two plus and three minus

Y Zhou, B Tang - Biometrika, 2019 - academic.oup.com
Strong orthogonal arrays have better space-filling properties than ordinary orthogonal arrays
for computer experiments. We consider column-orthogonal strong orthogonal arrays of …

Construction of maximin distance Latin squares and related Latin hypercube designs

Q **ao, H Xu - Biometrika, 2017 - academic.oup.com
Maximin distance Latin hypercube designs are widely used in computer experiments, yet
their construction is challenging. Based on number theory and finite fields, we propose three …

[PDF][PDF] A construction method for maximin L1-distance latin hypercube designs

R Yuan, Y Yin, H Xu, MQ Liu - Statistica Sinica, 2025 - stat.nankai.edu.cn
Maximin distance designs are a kind of space-filling design, and are widely used in
computer experiments. However, although much work has been done on constructing such …

High-dimensional points selection strategy for PDEM-based stochastic dynamic analysis of structures

J Xu, Y Zhang, J Li - Reliability Engineering & System Safety, 2025 - Elsevier
Abstract The Probability Density Evolution Method (PDEM) is effective for stochastic dynamic
analysis of structures. Within PDEM, the selection of representative point sets and the …