Noncollapsing space-filling designs for bounded nonrectangular regions

Technometrics

Volumn 54, Issue 2, 2012, Pages 169-178

  Draguljié, Danel ^a   Dean, Angela M ^b   Santner, Thomas J ^b  

^a BATTELLE MEMORIAL INSTITUTE   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

Average reciprocal distance; Column wise algorithm; Computer experiment; Highdimensional input space; Maximin design

Indexed keywords

AVERAGE RECIPROCAL DISTANCE; BOUNDED INPUT; COMPUTER CODES; COMPUTER EXPERIMENT; HIGH DIMENSIONS; IF THERE ARE; INPUT SPACE; INPUT-OUTPUT; MAXIMIN; NONPARAMETRIC PREDICTORS; ONLINE SUPPLEMENTARY MATERIAL; PHYSICAL EXPERIMENTS; SPACE FILLING DESIGNS; SPACE-FILLING; TRAINING DATA;

ALGORITHMS;

DESIGN;

EID: 84861597393     PISSN: 00401706     EISSN: None     Source Type: Journal    
DOI: 10.1080/00401706.2012.676951     Document Type: Article

References (23)

1. Audze, P., and Eglais, V. (1977), "New Approach for Planning Out of Experiments," Problems of Dynamics and Strengths, 35, 104-107. [170,173]
2. Bursztyn, D., and Steinberg, D. M. (2006), "Comparison of Designs for Computer Experiments," Journal of Statistical Planning and Inference, 136, 1103-1119. [170] (Pubitemid 41683365)
3. Chuang, S. C., and Hung, Y. C. (2010), "Uniform Designs Over General Input Domains With Applications to Target Region Estimation in Computer Experiments," Computational Statistics and Data Analysis, 54(1), 219-232. [170]
4. Fang, K.-T., Lin, D. K. J., Winker, P., and Zhang, Y. (2000), "Uniform Design: Theory and Application," Technometrics, 42(3), 237-248. [170]
5. Hayeck, G. T. (2009), "The Kinematics of the Upper Extremity and Subsequent Effects on Joint Loading and Surgical Treatment, unpublished," PhD thesis, Cornell University. [169]
6. Johnson, M. E., Moore, L. M., and Ylvisaker, D. (1990), "Minimax and Maximin Distance Designs," Journal of Statistical Planning and Inference, 26, 131-148. [170,172]
7. Liefvendahl, M., and Stocki, R. (2006), "A Study on Algorithms for Optimization of Latin Hypercubes," Journal of Statistical Planning and Inference, 136, 3231-3247. [170] (Pubitemid 43705589)
8. McKay, M. D., Beckman, R. J., and Conover, W. J. (1979), "A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code," Technometrics, 21, 239-245. [170] (Pubitemid 9452235)
9. Montgomery, D. C., Loredo, E. N., Jearkpaporn, D., and Caner,M. (2002), "Experimental Designs for Constrained Regions," Quality Engineering, 14(4), 587-601. [170] (Pubitemid 34741111)
10. Morris, M. D., and Mitchell, T. J. (1995), "Exploratory Designs for Computational Experiments," Journal of Statistical Planning and Inference, 43, 381-402. [170]
11. Nekkanty, S. (2009), "Characterization of Damage and Optimization of Thin Film Coatings on Ductile Substrates," unpublished PhD thesis, The Ohio State University. [169]
12. Nelson, B. L. (1995), Stochastic Modeling: Analysis And Simulation, NewYork: Dover Publications, Inc. [169]
13. Nguyen, N.-K., and Piepel, G. F. (2005), "Computer-Generated Experimental Designs for Irregular-Shaped Regions," Quality Technology & Quantitative Management, 2(2), 147-160. [170]
14. Qian, P. Z. G. (2009), "Nested Latin Hypercube Designs," Biometrika, 96, 957-970. [175]
15. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P. (1989), "Design and Analysis of Computer Experiments," Statistical Science, 4, 409-423. [170]
16. Sasena, M., Papalambros, P., and Goovaerts, P. (2002), "Global Optimization of ProblemsWith Disconnected Feasible Regions via Surrogate Modeling," in Proceedings of the 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. AIAA-2002-557, pp. 1-8. [170]
17. Simpson, T. W., Lin, D. K. J., and Chen, W. (2001), "Sampling Strategies for Computer Experiments: Design and Analysis," International Journal of Reliability and Applications, 2(3), 209-240. [170]
18. Stinstra, E., den Hertog, D., Stehouwer, P., and Vestjens, A. (2003), "Constrained Maximin Designs for Computer Experiments," Technometrics, 45(4), 340-346. [170,174,175]
19. Subramanian, C., and Strafford, K. N. (1993), "Review of Multicomponent and Multilayer Coatings for Tribological Applications," Wear, 165(1), 85-95. [169]
20. Tang, B. (1993), "Orthogonal Array-Based Latin Hypercubes," Journal of the American Statistical Association, 88, 1392-1397. [170]
21. Trosset, M. W. (1999), "Approximate Maximin Distance Designs," in Alexandria, VA, ASA Proceedings of the Section on Physical and Engineering Sciences, Alexandria, VA: American Statistical Association,, pp. 223-227. [170,175]
22. van Dam, E. (2008), "Two-Dimensional Minimax Latin Hypercube Designs," Discrete Applied Mathematics, 156(18), 3483-3493. [170]
23. Welch,W. J. (1985), "ACED: Algorithms for the Construction of Experimental Designs," The American Statistician, 39(2), 146. [170]