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Orthogonal Array-Based Latin Hypercubes
Abstract
In this article, we use orthogonal arrays (OA's) to construct Latin hypercubes. Besides preserving the univariate stratification properties of Latin hypercubes, these strength r OA-based Latin hypercubes also stratify each r-dimensional margin. Therefore, such OA-based Latin hypercubes provide more suitable designs for computer experiments and numerical integration than do general Latin hypercubes. We prove that when used for integration, the sampling scheme with OA-based Latin hypercubes offers a substantial improvement over Latin hypercube sampling.
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Cited by
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Helton, J. C., & Davis, F. J. (2003) · Reliability Engineering & System Safety · doi:10.1016/s0951-8320(03)00058-9 · Cited by 2,688
Engineering Design via Surrogate Modelling: A Practical Guide
Forrester, A. I. J., Sóbester, A., & Keane, A. J. (2008) · doi:10.1002/9780470770801 · Cited by 2,309
A rigorous framework for optimization of expensive functions by surrogates
Booker, A. J., Dennis, J. E., Frank, P. D., Serafini, D. B., Torczon, V., & Trosset, M. W. (1999) · Structural Optimization · doi:10.1007/bf01197708 · Cited by 960
Computer Model Calibration Using High-Dimensional Output
Higdon, D., Gattiker, J., Williams, B., & Rightley, M. (2008) · Journal of the American Statistical Association · doi:10.1198/016214507000000888 · Cited by 867
Analysis of Support Vector Regression for Approximation of Complex Engineering Analyses
Clarke, S. M., Griebsch, J. H., & Simpson, T. W. (2005) · Journal of Mechanical Design · doi:10.1115/1.1897403 · Cited by 523
Metadata
- Authors
- Tang, B.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1993-12
- Volume
- 88
- Issue
- 424
- Pages
- 1392-1397
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W1967692477
- Cited by
- 858
- References
- 0
- FWCI
- 5.90
- Type
- journal article
- Language
- en
- Open access
- closed
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