Latin Hypercubes and Space-filling Designs

TL;DR

This chapter explores the use of Latin hypercube and other space-filling designs to optimize the distribution of points in computer experiments, aiming for uniform coverage of the design space.

Contribution

It provides a general approach to creating space-filling designs, emphasizing Latin hypercubes for efficient and uniform sampling in computer experiments.

Findings

Latin hypercubes effectively fill the design space uniformly.

Space-filling designs improve the accuracy of computer experiments.

The chapter offers methods for constructing such designs.

Abstract

This chapter discusses a general design approach to planning computer experiments, which seeks design points that fill a bounded design region as uniformly as possible. Such designs are broadly referred to as space-filling designs.