Building surrogates with overcomplete bases in computer experiments with applications to bistable laser diodes

IIE Transactions (Institute of Industrial Engineers)

Volumn 43, Issue 1, 2011, Pages 39-53

  Chen, Ray Bing ^a   Wang, Weichung ^b   Wu, C F Jeff ^c  

^a NATIONAL UNIVERSITY OF KAOHSIUNG   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c Georgia Institute of Technology   (United States)

Author keywords

Garbor functions; Gaussian process; kriging; matching pursuit algorithm; uniform design

Indexed keywords

GARBOR FUNCTIONS; GAUSSIAN PROCESSES; KRIGING; MATCHING PURSUIT ALGORITHMS; UNIFORM DESIGN;

COMMUNICATION; COMPUTER APPLICATIONS; DIODES; DYNAMICAL SYSTEMS; EXPERIMENTS; FUNCTION EVALUATION; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); INTERPOLATION; OPTICAL COMMUNICATION; SURFACE PROPERTIES;

ALGORITHMS;

EID: 78650037792     PISSN: 0740817X     EISSN: 15458830     Source Type: Journal    
DOI: 10.1080/0740817X.2010.504686     Document Type: Article

References (21)

1. Bergeaud, F. and Mallat, S. (1995) Matching pursuit of images. Proceedings of the 1995 International Conference on Image Processing, 1, 53-56.
2. Czaja, W. (2000) Characterizations of Gabor systems via the Fourier transform. Collectanea Mathematica, 51(2), 205-224.
3. Donoho, D. L., Elad, M. and Temlyakov, V. (2006) Stable recovery of sparse overcomplete representations in the presence of noise. IEEE Transactions on Information Theory, 52, 6-18.
4. Fang, K. T. (1980) The uniform design: application of number-theoretic methods in experimental design. Acta Mathematicae Applicatae Sinica, 3, 363-372.
5. Gramacy, R. B. and Lee, H. K. H (2008) Bayesian treed Gaussian process models with an application to computer modeling. Journal of the American Statistical Association, 103, 1119-1130.
6. Jones, D., Schonlau, M. and Welch, W. (1998) Efficient global optimization of expensive black-box functions. Journal of Global Optimization, 13, 455-492.
7. Juang, C., Huang, S.-T., Liu, C.-Y., Wang, W., Hwang, T.-M., Juang, J. and Lin, W.-W. (2003) Subcarrier multiplexing by chaotic multitone modulation. IEEE Journal of Quantum Electronics, 39(10), 1321-1326.
8. Kawaguchi, H. (1982) Optical bistable-switching operation in semiconductor lasers with inhomogeneous excitation. IEE Proc., 129(4), 141-148.
9. Kawaguchi, H. (1987) Absorptive and dispersive bistability in semiconductor injection lasers. Optical and Quantum Electronics, 19, S1-S36.
10. MacLenna, B. (1991) Gabor representation of spatiotemporal visual images. Technical report CS-91-144. Department of Computer Science, University of Tennessee.
11. Mallat, S. and Zhang, Z. (1993) Matching pursuit with time-frequency dictionaries. IEEE Transactions on Signal Processing, 41, 3397-3415.
12. McKay, M., Beckman, R. and Conover, W. (1979) A comparison of three methods for selecting values of inputs variables in the analysis of output from a computer code. Technometrics, 21, 239-245.
13. Ohtsubo, J. (2002) Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback. IEEE Journal of Quantum Electronics, 38(9), 1141-1154. (Pubitemid 35032638)
14. Parker, T. S. and Chua, L. O. (1989) Practical Numerical Algorithms for Chaotic Systems, Springer-Verlag, New York, NY.
15. Ranjan, R. D., Bingham, D. and Michailidis, G. (2008) Sequential experiment design for contour estimation from complex computer codes. Technometrics, 50(4), 527-541.
16. Sacks, J., Welch, W. J., Mitchell, T. J. and Wynn, H. P. (1989) Design and analysis of computer experiments. Statistical Science, 4, 409-435.
17. Santner, T. J., Williams, B. J. and Notz, W. I. (2003) The Design and Analysis of Computer Experiments, Springer, New York, NY.
18. Sivaprakasam, S. and Shore, K. A. (2000) Message encoding and decoding using chaotic external-cavity diode lasers. IEEE Journal of Quantum Electronics, 36(1), 35-39.
19. Wang, J. Y., Cada, M., Van Dommelen, R. and Makino, T. (1997) Dynamic characteristics of bistable laser diodes. IEEE Journal of Selected Topics in Quantum Electronics, 3(5), 1271-1279.
20. Wang, W., Hwang, T.-M., Juang, C., Juang, J., Liu, C.-Y. and Lin, W.-W. (2001) Chaotic behaviors of bistable laser diodes and its application in synchronization of optical communication. Japanese Journal of Applied Physics, 40, 5914-5919.
21. Wolfe, P. J., Godsill, S. J. and Ng, W.-J. (2004) Bayesian variable selection and regularization for time-frequency surface estimation. Journal of the Royal Statistical Society, Series B, 66, 575-589.