Optimal sliced latin hypercube designs
WebThis article proposes a method for constructing a new type of space-filling design, called a sliced Latin hypercube design, intended for running computer experiments. Such a design … WebSuch a design is a special orthogonal Latin hypercube design, of first-order or second-order, that can be divided into slices of smaller orthogonal Latin hypercube designs of the same order. This type of design is useful for computer experiments with qualitative and quantitative factors, multiple experiments, data pooling, and cross-validation.
Optimal sliced latin hypercube designs
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WebJul 18, 2024 · Sliced Latin hypercube designs (SLHDs), proposed by Qian ( 2012 ), are widely used in computer experiments with qualitative and quantitative factors, model calibration, cross validation, multiple experiments, stochastic optimization and data pooling. WebMay 7, 2024 · Sliced Latin hypercube designs with arbitrary run sizes. Latin hypercube designs achieve optimal univariate stratifications and are useful for computer …
WebLatin hypercube samples are non-collapsing. Figure 3(a) illustrates the case of a Latin hypercube design with d=3 dimensions and p=15 points. Any of the two-dimensional projections is still a Latin hypercube design with the same p=15 points (although, for this particular case, the x 1 x 2 projection is the best in terms of space filling). Thus ... WebThis task view collects information on R packages for experimental design and analysis of data from experiments. Packages that focus on analysis only and do not make relevant contributions for design creation are not considered in the scope of this task view. Please feel free to suggest enhancements, and please send information on new packages or …
Web6 rows · Sep 16, 2024 · Latin hypercube designs (LHDs) [ 1] are widely used in computer experiments because of their ... WebWe can consider proposing a method that is easily adapted to generate the optimal design. In this paper, we propose an improved method to construct SLHDs with slices of arbitrary run sizes, which are called flexible sliced Latin hypercube designs (FSLHDs). The new construction method can be easily adapted to generate the optimal design.
WebOct 24, 2024 · Recently, the construction of nested or sliced Latin hypercube designs (LHDs) has received notable interest for planning computer experiments with special combinational structures. In this paper, we propose an approach to constructing nested and/or sliced LHDs by using small LHDs and structural vectors/matrices. This method is … try shortening the path or filenameWeb2 days ago · If we consider the first of these three options, this means that there is a design that has an average RPV that is only (1/0.992 − 1) = 0.008 or 0.8% larger than the I-optimal design and has a maximum RPV that is (1/0.844 − 1) = 0.185 or 18.5% larger than the G-optimal design.Similarly, for the third option, the design has both the average and … phillip porsch ksWebMay 2, 2024 · This function utilizes a version of the simulated annealing algorithm and several computational shortcuts to efficiently generate the optimal Latin Hypercube Designs (LHDs) and the optimal Sliced Latin Hypercube Designs (SLHDs). The maximin distance criterion is adopted as the optimality criterion. phillip pointer bioWebOptimal Sliced Latin Hypercube Designs Shan BA, William R. MYERS,andWilliamA.BRENNEMAN The Procter and Gamble Company, Mason, OH 45040 … try short hairstylesWebIn the Optimal Latin Hypercube technique the design space for each factor is divided uniformly (the same number of divisions, n n, for all factors). These levels are randomly … phillip porteaWebAug 6, 2024 · Abstract: Sliced Latin hypercube designs (SLHDs) are widely used in computer experiments with both quantitative and qualitative factors and in batches. … try short hairstyles freeWebApr 1, 1994 · In this paper, optimal Latin-hypercube designs minimizing IMSE or maximizing entropy are considered. These designs turn out to be well spread over the design region … phillip portföy