Construction of orthogonal Latin hypercube designs
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 …
samples for the marginal distribution of each input variable. We propose a method for …
Latin hypercubes and space-filling designs
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 …
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
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 …
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 …
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
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 …
class of designs with desirable properties. Recently, a number of methods have been …
Construction of orthogonal Latin hypercube designs with flexible run sizes
Latin hypercube designs (LHDs) have recently found wide applications in computer
experiments. A number of methods have been proposed to construct LHDs with …
experiments. A number of methods have been proposed to construct LHDs with …
Design for computer experiments with qualitative and quantitative factors
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 …
with both qualitative and quantitative variables. These designs maintain an economic run …
A general rotation method for orthogonal Latin hypercubes
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 …
Among the available methods for constructing such designs, the method of rotation is …
Construction of orthogonal symmetric Latin hypercube designs
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 …
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 …
onto any g dimensions for any g less than t. It can be regarded as a kind of uniform space …