Optimized U -type designs on flexible regions

The concept of a flexible region describes an infinite variety of symmetrical shapes to enclose a particular region of interest within a space. In experimental design, the properties of a function on the region of interest are analyzed based on a set of design points. The choice of design points can...

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Bibliographic Details
Published in:Computational statistics & data analysis 2010-06, Vol.54 (6), p.1505-1515
Main Authors: Lin, D.K.J., Sharpe, C., Winker, P.
Format: Article
Language:English
Subjects:
[formula omitted]-type design
Algorithms
Central composite discrepancy
Central composite discrepancy Experimental design Flexible regions Threshold Accepting U-type design
Criteria
Data processing
Design engineering
Exact sciences and technology
Experimental design
Flexible regions
General topics
Heuristic
Mathematical analysis
Mathematics
Multivariate analysis
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Optimization
Probability and statistics
Sciences and techniques of general use
Statistics
Threshold Accepting
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Description
Summary:The concept of a flexible region describes an infinite variety of symmetrical shapes to enclose a particular region of interest within a space. In experimental design, the properties of a function on the region of interest are analyzed based on a set of design points. The choice of design points can be made based on some discrepancy criterion. The generation of design points on a flexible region is investigated. A recently proposed discrepancy measure, the central composite discrepancy, is used for this purpose. The optimization heuristic Threshold Accepting is applied to generate low-discrepancy U -type designs. The proposed algorithm is capable of constructing optimal U -type designs under various flexible experimental regions in two or more dimensions. The illustrative results for the two-dimensional case indicate that by using an optimization heuristic in combination with an appropriate discrepancy measure produces high-quality experimental designs on flexible regions.
ISSN:0167-9473
1872-7352
DOI:10.1016/j.csda.2010.01.032