Construction of designs with space-filling and orthogonal property

Min Li, Yuan Feng, Xiao Wang and Weiping Zhou

Statistics & Probability Letters, 2025, vol. 222, issue C

Abstract: Space-filling designs are widely used in computer experiments, but their construction presents significant challenges. This paper introduces novel methods for generating maximin distance Latin hypercube designs (LHDs) and space-filling balanced designs with a slice structure, removing the reliance on computational searches. We also offer a simple yet effective approach to constructing sliced Latin hypercube designs (SLHDs), which achieve space-filling in each slice and maintain good orthogonality and stratification properties across the entire design. The resulting designs are more space-filling than existing designs.

Keywords: Computer experiment; Space-filling design; Maximin distance; Orthogonality; Stratification (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110408

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