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Volumn 91, Issue 10-11, 2006, Pages 1266-1280

Comparison of pure and "Latinized" centroidal Voronoi tessellation against various other statistical sampling methods

Author keywords

Centroidal Voronoi tessellation; Statistical sampling methods; Uncertainty propagation

Indexed keywords

DISTRIBUTED COMPUTER SYSTEMS; EFFICIENCY; FUNCTIONS; MONTE CARLO METHODS; RANDOM PROCESSES; STATISTICS;

EID: 33745685261     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2005.11.023     Document Type: Article
Times cited : (105)

References (24)
  • 1
    • 33745719943 scopus 로고    scopus 로고
    • Burkardt J, Gunzburger M, Saka Y. Latinized, improved LHS, and CVT point sets in hypercubes. IEEE Trans Inf Theory, submitted.
  • 2
    • 33745719942 scopus 로고    scopus 로고
    • Conover WM. On a better method for selecting input variables. In: Helton JC, Davis FJ, editors, 1975 unpublished Los Alamos National Laboratory manuscript, reproduced as Appendix A of "Latin Hypercube Sampling and the Propagation of Uncertainty in Analyses of Complex Systems". Sandia National Laboratories report SAND2001-0417, printed November 2002.
  • 3
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • McKay M.D., Beckman R.J., and Conover W.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21 2 (1979)
    • (1979) Technometrics , vol.21 , Issue.2
    • McKay, M.D.1    Beckman, R.J.2    Conover, W.J.3
  • 4
    • 0038476492 scopus 로고    scopus 로고
    • Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems
    • Helton J.C., and Davis F.J. Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems. Reliab Eng Syst Saf 81 1 (2003)
    • (2003) Reliab Eng Syst Saf , vol.81 , Issue.1
    • Helton, J.C.1    Davis, F.J.2
  • 5
    • 85067317526 scopus 로고    scopus 로고
    • Manteufel RD. Distributed hypercube sampling algorithm. In: Third AIAA non-deterministic approaches forum paper AIAA-2001-1673, 42nd structures, structural dynamics, and materials conference, April 16-19, 2001, Seattle, WA.
  • 6
    • 0036079216 scopus 로고    scopus 로고
    • Beachkofski BK, Grandhi RV. Improved distributed hypercube sampling. In: Fourth AIAA non-deterministic approaches forum paper AIAA-2002-1274, 43rd structures, structural dynamics, and materials conference, April 22-25, 2002, Denver, CO.
  • 7
    • 84896693256 scopus 로고    scopus 로고
    • Romero VJ, Burkardt, JS, Gunzburger MD, Peterson JS, Krishnamurthy T. Initial application and evaluation of a promising new sampling method for response surface generation: centroidal Voronoi tessellation. In: Fifth AIAA non-deterministic approaches forum paper AIAA-2003-2008, 44th structures, structural dynamics, and materials conference, April 7-10, 2003, Norfolk, VA.
  • 8
    • 0034259082 scopus 로고    scopus 로고
    • Algorithmic construction of optimal symmetric latin hypercube designs
    • Ye K.Q., Li W., and Sudjianto A. Algorithmic construction of optimal symmetric latin hypercube designs. J Stat Plann Inference 90 (2000) 145-159
    • (2000) J Stat Plann Inference , vol.90 , pp. 145-159
    • Ye, K.Q.1    Li, W.2    Sudjianto, A.3
  • 9
    • 0242492124 scopus 로고    scopus 로고
    • Hanson, K. Quasi-Monte Carlo: halftoning in high dimensions? In: Bouman CA, Stevenson RL, editors. Proceedings of SPIE 5016, computational imaging, 2003.p.161-72.
  • 11
    • 84861548147 scopus 로고    scopus 로고
    • Romero V, Slepoy R, Swiler L, Giunta A, Krishnamurthy T. Error estimation approaches for progressive response surfaces-more results. In: Proceedings paper # 114 of the 2006 international modal analysis conference (IMAC XXIV), January 30-February 2, 2006, St. Louis, MO.
  • 12
    • 0031195390 scopus 로고    scopus 로고
    • An efficient sampling technique for off-line quality control
    • Kalagnanam J.R., and Diwekar U.M. An efficient sampling technique for off-line quality control. Technometrics 39 3 (1997)
    • (1997) Technometrics , vol.39 , Issue.3
    • Kalagnanam, J.R.1    Diwekar, U.M.2
  • 13
    • 33745691608 scopus 로고    scopus 로고
    • Robinson D, Atcitty D. Comparison of quasi- and pseudo-Monte Carlo sampling for reliability and uncertainty analysis. In: First AIAA non-deterministic approaches forum paper AIAA-1999-1589, 40th structures, structural dynamics, and materials conference, April 12-15, St. Louis, MO.
  • 14
    • 0036787154 scopus 로고    scopus 로고
    • Probabilistic algorithms for centroidal Voronoi tessellations and their parallel implementation
    • Ju L., Du Q., and Gunzburger M. Probabilistic algorithms for centroidal Voronoi tessellations and their parallel implementation. Parallel Comput 28 (2002) 1477-1500
    • (2002) Parallel Comput , vol.28 , pp. 1477-1500
    • Ju, L.1    Du, Q.2    Gunzburger, M.3
  • 16
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations: applications and algorithms
    • Du Q., Faber V., and Gunzburger M. Centroidal Voronoi tessellations: applications and algorithms. SIAM Rev 41 (1999) 637-676
    • (1999) SIAM Rev , vol.41 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 17
    • 33745719947 scopus 로고    scopus 로고
    • Burkardt J, Gunzburger M, Nugyen H, Saka Y. Constrained centroidal Voronoi tessellations for meshing. SIAM J Sci Comput, submitted.
  • 19
    • 78650528878 scopus 로고    scopus 로고
    • Romero VJ, Burkardt JS, Gunzburger MD, Peterson JS. Initial evaluation of centroidal Voronoi tessellation method for statistical sampling and function integration. Sandia National Laboratories library archive SAND2003-3672C, an extended version (with comparison of exceedence probabilities) of the paper in the proceedings of the fourth international symposium on uncertainty modeling and analysis (ISUMA'03), September 21-24, 2003, University of Maryland, College Park, MA.
  • 21
    • 33745719944 scopus 로고    scopus 로고
    • Burkardt JV, Gunzburger MD, Peterson JS. Research sampling software, http://www.csit.fsu.edu/~burkardt/f_src/cvt_dataset/cvt_dataset.html
  • 22
    • 84933516758 scopus 로고
    • A distribution-free approach to inducing rank correlation among input variables
    • Iman R.L., and Conover W.J. A distribution-free approach to inducing rank correlation among input variables. Commun Stat B11 3 (1982) 311-334
    • (1982) Commun Stat , vol.B11 , Issue.3 , pp. 311-334
    • Iman, R.L.1    Conover, W.J.2
  • 23
    • 33745705836 scopus 로고    scopus 로고
    • Romero VJ. Effect of initial seed and number of samples on simple-random and latin-hypercube Monte Carlo probabilities-confidence interval considerations. In: Paper PMC2000-176, Eighth ASCE specialty conference on probabilistic mechanics and structural reliability, University of Notre Dame, IN, July 24-26, 2000.
  • 24
    • 33745705835 scopus 로고    scopus 로고
    • Romero VJ, Mellen AL. 2002, preliminary research findings not yet published. Contact: vjromer@sandia.gov


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.