Group symmetric latin hypercube designs

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August undefined, 2024

WebA symmetric Latin hypercube design. Parameters: dim: Number of dimensions (int). num_pts: Number of desired sampling points (int). Use 2*dim + 1 to make sure the design has full rank. iterations: Number of designs to generate and … WebSep 1, 2000 · The proposed class of designs has some advantages over the regular Latin hypercube design with respect to criteria such as entropy and the minimum intersite distance. An exchange algorithm is proposed for constructing optimal symmetric Latin hypercube designs. This algorithm is compared with two existing algorithms by Park …

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WebOct 1, 2024 · Compared with an ordinary sliced Latin Hypercube, the proposed design has the following advantages: (i) the group symmetry of models can be detected by the first slice of the design, which leads ... WebLatin hypercube designs for selecting experimental designs are highlighted. Finally, the research in Latin hypercube designs is situated in the current state of the art and opportunities for future work are presented. The remaining of the paper is organized as follows. Section 4 presents some general discussion about the Latin termička obrada hrana

Algorithmic construction of optimal symmetric Latin hypercube designs ...

WebMar 12, 2012 · An experimental design, called a group symmetric Latin hypercube design (GSLHD) is proposed for SGSA. It achieves maximum uniformity in univariate margins and maintains a symmetrical structure ... WebWe propose a new class of Latin hypercube design -- the symmetric Latin hypercube design. The goal is to offer a compromise between the computing efforts and the design … WebSep 1, 2000 · We propose symmetric Latin hypercubes for designs of computer experiment. The goal is to offer a compromise between computing effort and design … batman arkham asylum remake

Group symmetric Latin hypercube designs for …

WebAbstract: Latin hypercube designs (LHDs) have found wide application in com-puter experiments. It is known that orthogonal LHDs guarantee the orthogonality between all … WebJul 1, 2024 · Latin hypercube designs (LHDs) have found wide application in computer experiments. It is known that orthogonal LHDs guarantee the orthogonality between all … termijeans termička obrada otpada

"WebJul 5, 2024 · Concatenating these together into a DxN matrix gives a list of coordinates which will form a Latin hypercube. I am also interested in generating a special type of Latin hypercube called a symmetric Latin hypercube. This property essentially means that the hypercube is invariant under spatial inversion. One way of expressing this condition, is ... " - Group symmetric latin hypercube designs

Group symmetric latin hypercube designs

On the connection between maximin distance designs and …

Weborthogonal-array-based latin hypercube designs. To do this, the referenced algo-rithms must be modiﬁed. This section gives details of the necessary modiﬁcations. Let us … Webapplying equation (1) to several random ‘midpoint’ latin hypercube designs (see Park (1994) for a description of midpoint designs). The domain in m dimensions is taken to be [0,1]m. The fact that random orthogonal-array-based latin hypercube designs are not as good at space ﬁlling as well-chosen latin hypercube designs (c.f. Figs 4(a), 5(a)

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WebOct 1, 2024 · 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 ... WebSymmetric groups capture the history of abstract algebra, provide a wide range of examples in group theory, are useful when writing software to study abstract algebra, …

WebNov 1, 2006 · An experimental design, called a group symmetric Latin hypercube design (GSLHD) is proposed for SGSA. It achieves maximum uniformity in univariate margins and maintains a symmetrical structure ... http://web.stat.nankai.edu.cn/mqliu/publications/2024-WangSunLinLiu-SS.pdf

WebSymmetric group definition, the group of all permutations of a finite set. See more. WebDec 1, 2024 · An experimental design, called a group symmetric Latin hypercube design (GSLHD) is proposed for SGSA. It achieves maximum uniformity in univariate margins and maintains a symmetrical structure that ensures the estimability of SGSI. Based on the proposed GSLHD, SGSI can be efficiently estimated by using output values evaluated …

http://web.stat.nankai.edu.cn/mqliu/publications/2024-WangSunLinLiu-SS.pdf

WebMay 7, 2024 · The orthogonal Latin hypercube design and its relaxation, and column-orthogonal design, are two kinds of orthogonal designs for computer experiments. However, they usually do not achieve maximum stratifications in multi-dimensional margins. In this paper, we propose some methods to construct column-orthogonal designs with … termička obrada zupčanikaWebLatin hypercube designs (LHDs) have found wide application in computer experiments. It is known that orthogonal LHDs guarantee the orthogonality between all linear effects, and symmetric LHDs ... batman arkham asylum remasteredWebMar 1, 2024 · The computation of SGSI is a challenging task because the model to compute is black-box and expensive. An experimental design, called a group symmetric Latin hypercube design (GSLHD) is proposed for SGSA. It achieves maximum uniformity in univariate margins and maintains a symmetrical structure that ensures the estimability of … batman arkham asylum sewer batLatin 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… termicka obrada svinjskog mesaJournal of Statistical Planning and Inference 39 (1994) 95-111 95 North-Holland … Summary We have suggested the use of maximin Latin hypercube designs for … Designs which result from these considerations have been put to use as … terminacion ko euskeraWebJan 30, 2009 · Abstract. We propose a method for constructing orthogonal or nearly orthogonal Latin hypercubes. The method yields a large Latin hypercube by coupling an orthogonal array of index unity with a small Latin hypercube. It is shown that the large Latin hypercube inherits the exact or near orthogonality of the small Latin hypercube. batman arkham asylum sequelWebNov 24, 2009 · Abstract. 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 constructing ... batman arkham asylum shirt