A restart univariate estimation of distribution algorithm: Sampling under mixed Gaussian and Lévy probability distribution

2008 IEEE Congress on Evolutionary Computation, CEC 2008

Volumn , Issue , 2008, Pages 3917-3924

  Wang, Yu ^a   Li, Bin ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; DISTRIBUTION FUNCTIONS; EVOLUTIONARY ALGORITHMS; GLOBAL OPTIMIZATION; PROBABILITY; PROBABILITY DENSITY FUNCTION; STANDARDS; STATISTICS; TRELLIS CODES;

CLASSICAL TESTS; COMPARISON RESULTS; DO-MAINS; ESTIMATION OF DISTRIBUTION ALGORITHMS; GAUSSIAN; RESTART STRATEGIES; STANDARD DEVIATIONS; UNIVARIATE; UNIVARIATE MARGINAL DISTRIBUTION ALGORITHMS;

PROBABILITY DISTRIBUTIONS;

EID: 55749101715     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CEC.2008.4631330     Document Type: Conference Paper

References (19)

1. K. Tang, X. Yao, P. N. Suganthan, C. MacNish, Y. P. Chen, C. M. Chen, Z. Yang, "Benchmark Functions for the CEC2008 Special Session and Competition on Large Scale Global Optimization", Technical Report for CEC'2008 special session, Nov. 2007.
2. P. N. Suganthan, N. Hansen, J. J. Liang, K. Deb, Y. P. Chen, A. Auger, S. Tiwari, "Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Optimization", Technical Report for CEC'2005 special session, May. 2005.
3. X. Yao, An overview of evolutionary computation, Chinese J. Adv. Software Res., vol. 3, no. 1, pp. 12-29, 1996.
4. Q. Lu and X. Yao, "Clustering and Learning Gaussian Distribution for Continuous Optimization", IEEE Trans. Systems, Man, and Cybernetics, vol. 35, no. 2, pp. 195-204, May. 2005. "
5. P. Lévy, Theorie de l'Addition des Veriables Aleatoires. Paris, France: Gauthier-Villars, 1937.
6. B. Gnedenko and A. Kolmogorov, Limit Distribution for Sums of Independent Random Variables. Cambridge, MA: Addition-Wesley, 1954.
7. Ch-Y. Lee, and X. Yao, "Evolutionary Programming Using Mutations Based on the Lvy Probability Distribution", IEEE Trans. Evol. Comput., vol. 8, no. 1, pp. 1-13, Feb. 2004.
8. A. M. Potter and K. A. De Jong, "A cooperative co-evolutionary approach to function optimization", Proc. the Third International Conference on Parallel Problem Solving from Nature, pp. 249-257. Springer-Verlag, 1994.
9. Z. Yang, K. Tang and X. Yao "Differential Evolution for High-Dimensional Function Optimization", Proc. IEEE Congress on Evolutionary Computation, Singapore, 2007, pp. 3523-3530.
10. P. A. N. Bosman, Design and application of iterated density-estimation evolutionary algorithms, Ph.D. dissertation, Utrecht Univ., TB Utrecht, The Netherlands, 2003.
11. J. Boyan A. J. Buntine, "Statistical machine learning for large-scale optimization", Neural Computing Surveys, 3:1-58.
12. P. Larraňga "A review on estimation of distribution algorithms", in Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation, chapter 3, pp. 57-100. Kluwer.
13. M. Gallagher, M. Frean "Population-Based Continuous Optimization, Probabilistic Modelling and Mean Shift", MIT press on Evolutionary Computation, vol. 13 no. 1, pp. 29-42.
14. B. Yuan, Marcus Gallagher "Experimental Results for the Special Session on Real-Parameter Optimization at CEC 2005: A Simple, Continuous EDA", Proc. Conference on Evolutionary Computation, special issue on Real-Parameter Optimization, 2005.
15. M. Sebag and A. Ducoulombier, "Extending population-based incremental learning to continuous search spaces", Parallel Problem Solving from Nature-PPSN VI, 1998, pp. 418-427.
16. S. Rudlof and M. Kǒppen, "Stochastic hill climbing by vectors of normal distributions, Proc. 1st Online Workshop on Soft Computing (WSC1), Nagoya, Japan, 1996.
17. P. Larraňga, R. Etxeberria, J. A. Lozano, and J. M. peña, "Optimization in continuous domains by learning and simulation of Gaussian networks," Proc. 2000 Genetic and Evolutionary Computation Conf. Workshop Program, pp. 201-204, 2000.
18. Y. Wang, B. Li, "Estimation of Distribution Algorithm for Large Scalar Global Optimization", submitted for CEC'2008 special issue on "Large Scalar Global Optimization".
19. Z. Yang, J. He, X. Yao, Make a difference to differential evolution, submitted to a book chapter, 2006.