A sequential design method for the inversion of an unknown system

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 15, Issue PART 1, 2009, Pages 1298-1303

  Bettinger, Régis ^a,b   Duchêne, Pascal ^a   Pronzato, Luc ^b  

^a IFP ENERGIES NOUVELLES   (France)

^b UNIVERSITY OF NICE SOPHIA ANTIPOLIS   (France)

Author keywords

Experimental design; Kriging; Sequential design; System inversion; Tsallis entropy

Indexed keywords

DESIGN OF EXPERIMENTS;

DELAYED OBSERVATION; DESIGN METHOD; INPUT SPACE; KRIGING; PRACTICAL ISSUES; PREDICTION MODELLING; SEQUENTIAL DESIGN; SEQUENTIAL GENERATION; SYSTEM INVERSION; TSALLIS' ENTROPIES;

KRIGING;

EID: 80051604680     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090706-3-fr-2004.00216     Document Type: Conference Paper

References (13)

1. R. Ababou, A.C. Bagtzoglou, and E.F.Wood. On the condition number of covariance matrices arising in kriging, estimation, and simulation of random fields. Mathematical Geology, 26(1):99-133, 1994. (Pubitemid 24424327)
2. th International Conference on Inverse Problems in Engineering (ICIPE), Journal of Physics: Conference Series, Dourdan (Paris), 2008. To appear. http://hal.archives- ouvertes.fr/hal-00290418/fr/.
3. J.P. Chilès and P. Delfiner. Geostatistics, Modeling Spatial Uncertainty. Wiley, New York, 1999.
4. A.I.J. Forrester, A.J. Keane, and N.W. Bressloff. The design and analysis of 'noisy' computer experiments. AIAA Journal, 44:2331-2339, 2006. (Pubitemid 44672249)
5. S.N. Lophaven, H.B. Nielsen, and J. Sondergaard. DACE, a Matlab kriging toolbox. Technical Report IMM-REP-2002-12, Technical University of Denmark, 2002.
6. M.D. Morris and T.J. Mitchell. Exploratory designs for computational experiments. J. Statist. Plann. Inference, 43:381-402, 1995.
7. L. Pronzato and E. Thierry. Robust design with nonparametric models: prediction of second-order characteristics of process variability by kriging. In Prep. 13th IFAC Symposium on System Identification, Rotterdam, pages 560-565, August 2003.
8. J. Sacks, W.J. Welch, T.J. Mitchell, and H.P. Wynn. Design and analysis of computer experiments. Statistical Science, 4(4):409-435, 1989.
9. T. Sahama and N.T. Diamond. Sample size considerations and augmentation of computer experiments. The Journal of Statistical Computation and Simulation, 68: 307-319, 2001. (Pubitemid 33381296)
10. T.J. Santner, B.J. Williams, and W.I. Notz. The Design and Analysis of Computer Experiments. Springer, Heidelberg, 2003.
11. M.L. Stein. Interpolation of Spatial Data. Some Theory for Kriging. Springer, Heidelberg, 1999.
12. C. Tsallis. Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics, 52(1/2):479-487, 1988.
13. M.P. Wand and M.C. Jones. Kernel Smoothing. CRC Press, 1995.