Construction of Uniform Projection Designs

ABSTRACT In computer experiments, space‐filling designs with favourable low‐dimensional projection properties are crucial for the efficient exploration of the design space, especially when many factors are involved but only a few are active. Among existing space‐filling designs, uniform projection designs stand out for their guaranteed uniformity across all two‐dimensional projections. This paper presents a series of novel and efficient algebraic constructions for uniform projection designs. By using orthogonal arrays, permuted good lattice point designs and ‐equidistant designs, we generate a rich class of uniform projection designs with flexible sizes. Additionally, we construct column‐orthogonal designs that are also nearly optimal under the uniform projection criterion. Numerical comparisons demonstrate the superiority of our proposed constructions compared to existing methods.