Latin hypercube designs (LHDs) are commonly used in designing computer experiments. A
number of methods have been proposed to construct LHDs with orthogonality among the …

We discuss algorithms for the construction of Hadamard matrices. We include discussion of
construction using Williamson matrices, Legendre pairs and the discret Fourier transform …

Latin hypercube designs is a class of experimental designs that is important when computer
simulations are needed to study a physical process. In this paper, we proposed some …

Computer simulations are usually needed to study a complex physical process. In this
paper, we propose new procedures for constructing orthogonal or low-correlation block …

Computer experiments are becoming increasingly popular surrogates for physical
experiments in recent years. In this paper, we propose a general procedure for constructing …

This paper presents new infinite families of orthogonal designs for computer experiments. In
cases where orthogonal designs cannot exist, we construct alternative, nearly orthogonal …

Computer experiments have attracted increasing attention in recent decades. General sliced
Latin hypercube design (LHD), which is a sliced LHD with multiple layers and at each layer …

In this paper, we are devoted to finding Goethals–Seidel sequences by using k-partition, and
based on the finite Parseval relation, the construction of Goethals–Seidel sequences could …

During the mining process of the near-vertical seam, there will be movement and collapse of
the “roof side” rock layer and the “overlying coal seam,” as well as the emergence of the …

A sliced Latin hypercube design is a special Latin hypercube design that can be divided into
slices of smaller Latin hypercube designs. This type of designs is useful for computer …