Speaker: 刘民千，南开大学

Inviter: 熊世峰

Title: A new class of mirror-symmetric orthogonal Latin hypercubes

Language: Chinese

Time & Venue: 2025.11.29 10:30-11:00 腾讯会议：979-347-585

Abstract: Orthogonal Latin hypercubes are efficient designs for computer experiments as they enjoy both orthogonality and one-dimensional maximum stratification. Mirror symmetric designs have also been advocated for computer experiments. The construction of mirror-symmetric orthogonal Latin hypercubes is limited and challenging. In this talk, we propose a construction method for mirror-symmetric orthogonal Latin hypercubes using orthogonal arrays from Reed-Solomon codes. Theoretical results guarantee that the resulting designs enjoy attractive orthogonality and low-dimensional space-filling properties. Moreover, some of the resulting designs are optimal under the maximin distance criterion. Simulation comparisons are also provided to demonstrate the superiority of the proposed designs over existing designs.