Probability collectives for optimization of computer simulations

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 4, Issue , 2007, Pages 3371-3380

  Rajnarayan, Dev ^a   Kroo, Ilan ^a   Wolpert, David ^b  

^a 496 Lomita Mall   (United States)

^b NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEURISTIC ALGORITHMS; MONTE CARLO METHODS; OPTIMIZATION; PROBABILITY; PROBLEM SOLVING;

DESIGN SPACE; EFFICIENT GLOBAL OPTIMIZATION (EGO); LOCAL OPTIMIZATION METHODS;

COMPUTER SIMULATION;

EID: 34547549830     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2007-1975     Document Type: Conference Paper

References (22)

1. Myers, R. H. and Montgomery, D. C., Response Surface Methodology: Process and Product Optimization Using Designed Experiments., J. Wiley, New York, 2002.
2. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., "Design and Analysis of Computer Experiments," Statistical Science. Vol. 4, No. 4, 1089, pp. 409-423.
3. Alexandrov, N., Dennis, J., Lewis, M., and Torczon, V., "A Trust Region Framework for Managing the Use of Approximation Models in Optimization," Tech. Rep. NASA/CR-201745, NASA, 1997.
4. th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, No. 2006-7117 in AIAA Paper, 2006.
5. Booker, A. J., Dennis Jr., J. E., Frank, P. D., Serafini, D. B., Torczon, V., and Trosset, M. W., "A Rigorous Framework for Optimization of Expensive Functions by Surrogates," Structural Optimization, Vol. .1.7, 1999, pp. 1-13.
6. Mockus, J., Tiesis, V., and Zilinskas, A., "The Application of Bayesian Methods for Seeking the Extremum," Towards Global Optimization, Vol. 2, 1978, pp. 117-129.
7. Jones, D. R., "A Taxonomy of Global Optimization Methods Based on Response Surfaces," Journal of Global Optimization, Vol. 21, 2001, pp. 345-383.
8. Rasmussen, C. E. and Williams, C. K. I., Gaussian Processes for Machine Learning, MIT Press, 2006.
9. Jones, D. R., Schonlau, M., and Welch, W. J., "Efficient Global Optimization of Expensive Black-Box Functions," Journal of Global Optimization, Vol. 13, 1998, pp. 455-492.
10. Wolpert, D. H. and Bieniawski, S., "Distributed Control by Lagrangian Steepest Descent," Proc. of the IEEE Control and Decision Conf., 2004, pp. 1562-1567.
11. Wolpert, D. H., Strauss, C. E. M., and Rajnarayan, D., "Advances in Distributed Optimization using Probability Collectives," Advances in Complex Systems, in press.
12. Wolpert, D. H., "Information theory - the bridge connecting bounded rational game theory and statistical physics," Complex Engineering Systems, edited by D. Braha and Y. Bar-Yam, 2004.
13. Lee, C. F. and Wolpert, D. H., "Product Distribution Theory for control of multi-agent systems," Proceedings of AAMAS 04, 2004.
14. Wolpert, D. H. and Bieniawski, S., "Adaptive distributed control: beyond single-instant categorical variables," Proceedings of MSRAS04, edited by A. S. et al, Springer Verlag, 2004.
15. Bieniawski, S., Distributed Optimization and Flight Control Using Collectives, Ph.D. thesis, Stanford University, October 2005.
16. Bieniawski, S., Kroo, I., and Wolpert, D. H., "Flight Control with Distributed Effectors," Proceedings of 2005 AIAA Guidance, Navigation, and Control Conference, San Francisco, CA, 2005, AIAA Paper 2005-6074.
17. Wolpert, D. H. and Rajnarayan, D., "Parametric Learning and Monte Carlo Optimization," Journal of Machine Learning Research, under review.
18. Addis, B., Locatelli, M., and Schoen, F., "Local Optima Smoothing for Global Optimization," Tech. Rep. DSI 5-2003, Dipartimento Sistemi e Informatica, Universi di Firenze, Firenze, Italy, 2003.
19. Mitchell, M., An Introduction to Genetic Algorithms, MIT Press, Cambridge, MA, 1996.
20. Rubinstein, R. and Kroese, D., The Cross-Entropy Method, Springer, 2004.
21. Robert, C. P. and Casella, G., Monte Carlo Statistical Methods, Springer-Verlag, New York, 2004.
22. Dixon, L. C. W. and Szego, G. P., "The Global Optimisation Problem: An Introduction," Towards Global Optimization, Vol. 2, 1978, pp. 1-15.