The problem of finding a maximin Latin hypercube design in two dimensions can be described as positioning n non …-attacking rooks on an n x n chessboard such that the minimal distance between pairs of rooks is maximized.Maximin Latin hypercube … for maximin Latin hypercube designs for general n, when the distance measure is l8 or l1. Furthermore, for the distance …

In black box evaluation and optimization Latin hypercube designs play an important role.When dealing with multiple …

We investigate minimax Latin hypercube designs in two dimensions for several distance measures.For the l-distance we … are able to construct minimax Latin hypercube designs of n points, and to determine the minimal covering radius, for all n ….For the l1-distance we have a lower bound for the covering radius, and a construction of minimax Latin hypercube designs for …

distributed marginals. In general, Latin hypercube sampling (LHS) is a powerful tool for solving this kind of high … accurate results by using Latin hypercube sampling with dependence (LHSD). We state a central limit theorem for the d …