Construction of orthogonal Latin hypercube designs

F Sun, MQ Liu, DKJ Lin - Biometrika, 2009 - academic.oup.com
Latin hypercube designs have found wide application. Such designs guarantee uniform
samples for the marginal distribution of each input variable. We propose a method for …

Latin hypercubes and space-filling designs

CD Lin, B Tang - Handbook of design and analysis of …, 2015 - api.taylorfrancis.com
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 …

Constructing nearly orthogonal Latin hypercubes for any nonsaturated run-variable combination

AS Hernandez, TW Lucas, M Carlyle - ACM Transactions on Modeling …, 2012 - dl.acm.org
We present a new method for constructing nearly orthogonal Latin hypercubes that greatly
expands their availability to experimenters. Latin hypercube designs have proven useful for …

Second-order nearly orthogonal Latin hypercubes for exploring stochastic simulations

AD MacCalman, H Vieira, T Lucas - Journal of Simulation, 2017 - Taylor & Francis
This paper presents new Latin hypercube designs with minimal correlations between all
main, quadratic, and two-way interaction effects for a full second-order model. These new …

Construction of orthogonal and nearly orthogonal Latin hypercube designs from orthogonal designs

J Yang, MQ Liu - Statistica Sinica, 2012 - JSTOR
Latin hypercube designs (LHDs), widely used for computer experiments, are a very large
class of designs with desirable properties. Recently, a number of methods have been …

Construction of orthogonal Latin hypercube designs with flexible run sizes

F Sun, MQ Liu, DKJ Lin - Journal of Statistical Planning and Inference, 2010 - Elsevier
Latin hypercube designs (LHDs) have recently found wide applications in computer
experiments. A number of methods have been proposed to construct LHDs with …

Design for computer experiments with qualitative and quantitative factors

X Deng, Y Hung, CD Lin - Statistica Sinica, 2015 - JSTOR
We introduce a new class of designs, marginally coupled designs, for computer experiments
with both qualitative and quantitative variables. These designs maintain an economic run …

A general rotation method for orthogonal Latin hypercubes

F Sun, B Tang - Biometrika, 2017 - academic.oup.com
Orthogonal Latin hypercubes provide a class of useful designs for computer experiments.
Among the available methods for constructing such designs, the method of rotation is …

Construction of orthogonal symmetric Latin hypercube designs

L Wang, F Sun, DKJ Lin, MQ Liu - Statistica Sinica, 2018 - JSTOR
Latin hypercube designs (LHDs) have found wide application in computer experiments. It is
known that orthogonal LHDs guarantee the orthogonality between all linear effects, and …

Column-orthogonal strong orthogonal arrays and sliced strong orthogonal arrays

H Liu, MQ Liu - Statistica Sinica, 2015 - JSTOR
A strong orthogonal array of strength t can achieve uniformity on finer grids when projected
onto any g dimensions for any g less than t. It can be regarded as a kind of uniform space …