Maximin latin hypercube
Web2.2 Maximin Latin hypercube designs Maximin Latin hypercube designs are optimal Latin hypercube designs with respect to the popular maximin distance criterion introduced by Johnson, Moore and Ylvisaker (1990). The idea is to enhance space-filling property of Latin hypercube designs by using the maximin distance criterion. WebThe Latin hypercube technique employs a constrained sampling scheme, whereas random sampling corresponds to a simple Monte Carlo technique. The generation of these samples is based on information supplied to the program by the user describing the variables or parameters used as input to the computer model.
Maximin latin hypercube
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WebMaximin Latin hypercube designs where flrst constructed by Morris and Mitchell (1995) using sim-ulated annealing. Ye et al. (2000) only considered the class of symmetric approximate maximin LHDs to reduce the computing efiort. Jin et al. (2005) introduce the enhanced stochastic evolutionary (ESE) WebSimilarly, assuming to generate an initial Latin hypercube design of sampling points and dimensions by SLE algorithm. This problem of finding a set of sampling points in -dimensional space can be described as positioning points in a unit hypercube, each point in which has coordinates values, , (), so that all the points possess good performance, that …
Web26 feb. 2009 · Latin hypercube designs (LHDs) play an important role when approximating computer simulation models. To obtain good space-filling properties, the maximin criterion is frequently used. Unfortunately, constructing maximin LHDs can be quite time consuming when the number of dimensions and design points increase. Web1 nov. 2024 · Maximin distance Latin hypercube designs (LHDs) are frequently used in computer experiments, but their constructions are challenging. In this paper, we present some new results connecting maximin L 2-distance optimality and near orthogonality for …
Web31 dec. 2024 · Step 1: surrogate models of the load-flow solver are built using a n*-point maximin Latin Hypercube Sample (LHS) [16,17] as a design of experiments and Polynomial Regression of order 3 (PR3) [17] as an approximation method. WebR-Help Examples of using the LHS package. Latin hyper cube sampling from expand.grid () Latin Hypercube Sampling with a condition. Latin Hypercube with condition sum = 1. Latin hypercube sampling. Latin Hypercube Sample and transformation to uniformly distributed integers or classes. Latin hypercube sampling from a non-uniform distribution.
Web1 jun. 1991 · An example is given based on a demonstration model of eight inputs and one output, in which predictions based on a maximin design, a Latin hypercube design, and two compromise'' designs are evaluated and compared. 12 refs., 2 figs., 6 tabs. Authors: Morris, M. D.; Mitchell, T. J.; Ylvisaker, D. + Show Author Affiliations Publication Date:
Web2 dec. 2024 · This work constructs a series of maximin Latin hypercube designs via Williams transformations of good lattice point designs that are optimal under the maximin L1-distance criterion, while others are asymptotically optimal. Maximin distance Latin hypercube designs are commonly used for computer experiments, but the construction … lauren thurmond etsy shopWebSLHD: Maximin-Distance (Sliced) Latin Hypercube Designs. Generate the optimal Latin Hypercube Designs (LHDs) for computer experiments with quantitative factors and the … justus thomas houston eye associatesWeb10 apr. 2024 · We compare our results to a baseline maximin Latin hypercube sample of size N 2 generated using the R package lhs (Carnell 2016) in the subspace of the initial set of fingerprints. We perform 30 simulations for each unique combination of function, dimension ( p ), and budget until nonadaptive expansion ( N 1 ). justus thompsonLatin hypercube sampling (LHS) is a statistical method for generating a near-random sample of parameter values from a multidimensional distribution. The sampling method is often used to construct computer experiments or for Monte Carlo integration. LHS was described by Michael McKay of Los Alamos National Laboratory in 1979. An independently equivalent technique was proposed by Vilnis Eglājs in 1977. It was further elabora… laurent hudry sofitel villa borgheseWebNested Maximin Latin Hypercube Designs in Two Dimensions. (CentER Discussion Paper). Tilburg University - Operations research. Siem, A. Y. D., de Klerk, E., & den Hertog, D. (2005). Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions. (CentER Discussion Paper). Tilburg University - Operations … lauren thurstonWeb14 feb. 2024 · Latin hypercube sampling (LHS) was developed to generate a distribution of collections of parameter values from a multidimensional distribution. A square grid … laurentian bank dividend newsWebThis paper aims at providing a short overview of the research in Latin hypercube design of experiments with some hypotheses to explain its extensive use. Given that Latin … laurentian bank dividend yield