# Universally Optimal Designs for the Two-dimensional Interference Model

## TL;DR

This paper develops a comprehensive framework for identifying universally optimal experimental designs in two-dimensional interference models, overcoming previous limitations of one-dimensional focus and addressing computational challenges.

## Contribution

It systematically characterizes all universally optimal designs for two-dimensional interference models and provides theoretical solutions to computational issues.

## Key findings

- Complete characterization of universally optimal designs in 2D interference models
- Theoretical methods to address computational challenges
- Extension beyond one-dimensional layout limitations

## Abstract

There have been some major advances in the theory of optimal designs for interference models. However, the majority of them focus on one-dimensional layout of the block and the study for two-dimensional interference model is quite limited partly due to technical difficulties. This paper tries to fill this gap. Specifically, it systematically characterizes all possible universally optimal designs simultaneously. Computational issues are also addressed with theoretical backup.