Optimized U-type designs on flexible regions

Dennis K.J. Lin, C. Sharpe, P. Winker

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)1505-1515
Number of pages11
JournalComputational Statistics and Data Analysis
Volume54
Issue number6
DOIs
Publication statusPublished - Jun 1 2010

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All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Computational Theory and Mathematics
  • Statistics and Probability
  • Applied Mathematics

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