Space-filling Designs with Kronecker Product Structures under Kernel-Based Criteria

Computer experiments have been widely used in various fields.Among different design types, space-filling designs stand out as the most common choice for computer experiments due to their effectiveness in thoroughly exploring the experimental region.Extensive research has been conducted on the space-filling criteria.However, there are relatively few studies developing a systematic framework for relationships among most space-filling criteria.Kernel functions possess numerous elegant properties, a