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Latin hypercube experiment design method based on sequential sampling

A Latin hypercube, experimental design technology, applied in computing, special data processing applications, instruments, etc., can solve the problems of difficulty in ensuring the uniformity of the spatial distribution of sampling points, high computational cost, and low LHS computational efficiency.

Inactive Publication Date: 2016-07-06
NAT UNIV OF DEFENSE TECH
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Problems solved by technology

[0012] The purpose of the present invention is to provide a Latin hypercube experimental design method of sequential sampling, which solves the problem of low computational efficiency of the LHS based on the optimal method in the prior art; the uniformity of the spatial distribution of the obtained sampling points is difficult to guarantee; the computational cost is large technical problem

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  • Latin hypercube experiment design method based on sequential sampling
  • Latin hypercube experiment design method based on sequential sampling
  • Latin hypercube experiment design method based on sequential sampling

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Embodiment Construction

[0050] The accompanying drawings constituting a part of this application are used to provide further understanding of the present invention, and the schematic embodiments and descriptions of the present invention are used to explain the present invention, and do not constitute an improper limitation of the present invention.

[0051] In order to facilitate understanding, the principle is first described as follows: Firstly, the basis matrix is ​​used to construct 2 m Factor 2 m+1 +1 Horizontal orthogonal Latin hypercube design, and then in the sequential sampling process, an optimization algorithm is introduced to improve the uniformity of the spatial distribution of the designed sampling points and improve the sampling accuracy. In addition, in the subsequent process of adding sampling points, the positions of the previous sampling points are fixed and do not participate in the optimization. Therefore, the complexity of optimization calculations can be greatly reduced, the ca...

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Abstract

The invention provides a Latin hypercube experiment design method based on sequential sampling. The Latin hypercube experiment design method has the advantages that an orthogonal Latin hypercube design matrix of a 2m factor at (2m+1+1) level is constructed through a basic matrix; in the sequential sampling process, an optimizing algorithm is used, the space distribution property of design sampling points is improved, and the sampling accuracy is improved.

Description

technical field [0001] The invention relates to the technical field of engineering optimization design, in particular to a sequential sampling Latin hypercube experimental design method. Background technique [0002] Reasonable experimental design methods can effectively select sampling points, reflect as many output characteristics as possible with as few sample points as possible, and can significantly reduce the amount of sampling, thereby improving work efficiency and reducing the amount of calculation. The Latin Hypercube Sampling (LHS) design is most widely used in arranging computer simulation experiments due to its outstanding SpaceFilling characteristics, and the number of sampling points can be freely designed for each different number of design variables. . [0003] LHS was first proposed in 1979, and its design result is an n×m matrix. Each row in the matrix represents a set of input variable combinations, and each column represents the sampling value of the cor...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/00
Inventor 王东辉武泽平张为华江振宇胡凡
Owner NAT UNIV OF DEFENSE TECH
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