Using copulas in estimation of distribution algorithms

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5845 LNAI, Issue , 2009, Pages 658-668

  Salinas Gutiérrez, Rogelio ^a   Hernández Aguirre, Arturo ^a   Villa Diharce, Enrique R ^a  

^a CENTRO DE INVESTIGACIÓN EN MATEMÁTICAS   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ESTIMATION OF DISTRIBUTION ALGORITHMS; JOINT DISTRIBUTIONS; MARGINAL DISTRIBUTION;

ARTIFICIAL INTELLIGENCE; BENCHMARKING; EVOLUTIONARY ALGORITHMS; HEURISTIC ALGORITHMS; PARAMETERIZATION;

PROBABILITY DISTRIBUTIONS;

EID: 70549101257     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-05258-3_58     Document Type: Conference Paper

References (28)

1. Arderí-García, R.J.: Algoritmo con Estimacíon de Distribuciones con Cópula Gaussiana. Bachelor's thesis, Universidad de La Habana. La Habana, Cuba (2007) (in Spanish)
2. Bacigál, T., Komorníková, M.: Fitting Archimedean copulas to bivariate geodetic data. In: Rizzi, A., Vichi, M. (eds.) Compstat 2006 Proceedings in Computational Statistics, pp. 649-656. Physica-Verlag HD, Heidelberg (2006)
3. Barba-Moreno, S.E.: Una propuesta para EDAs no paramétricos. Master's thesis, Centro de Investigacíon en Matemáticas. Guanajuato, México (2007) (in Spanish)
4. Cherubini, U., Luciano, E., Vecchiato, W.: Copula Methods in Finance. Wiley, Chichester (2004)
5. Davy, M., Doucet, A.: Copulas: a new insight into positive time-frequency distributions. Signal Processing Letters, IEEE 10(7), 215-218 (2005)
6. De Bonet, J.S., Isbell, C.L., Viola, P.: MIMIC: Finding Optima by Estimating Probability Densities. In: Advances in Neural Information Processing Systems, vol. 9, pp. 424-430. The MIT Press, Cambridge (1997)
7. De-Waal, D.J., Van-Gelder, P.H.A.J.M.: Modelling of extreme wave heights and periods through copulas. Extremes 8(4), 345-356 (2005)
8. Etxeberria, R., Larrañaga, P.: Global optimization with Bayesian networks. In: Ochoa, A., Soto, M., Santana, R. (eds.) Second International Symposium on Artificial Intelligence, Adaptive Systems, CIMAF 1999, Academia, La Habana, pp. 332-339 (1999)
9. Genest, C., Favre, A.C.: Everything You Always Wanted to Know about Copula Modeling but Were Afraid to Ask. Journal of Hydrologic Engineering 12(4), 347-368 (2007)
10. Joe, H.: Multivariate models and dependence concepts. Chapman and Hall, London (1997)
11. Larrañaga, P., Etxeberria, R., Lozano, J.A., Peña, J.M.: Optimization by learning and simulation of Bayesian and Gaussian networks. Technical report KZZA-IK-4-
12. Department of Computer Science and Artificial Intelligence, University of the Basque Country (1999)
13. Larrañaga, P., Etxeberria, R., Lozano, J.A., Peña, J.M.: Combinatorial optimization by learning and simulation of Bayesian networks. In: Proceedings of the Sixteenth Conference on Uncertainty in Artificial Intelligence, pp. 343-352 (2000)
14. Larrañaga, P., Etxeberria, R., Lozano, J.A., Peña, J.M.: Optimization in continuous domains by learning and simulation of Gaussian networks. In: Wu, A.S. (ed.) Proceedings of the 2000 Genetic and Evolutionary Computation Conference Workshop Program, pp. 201-204 (2000)
15. Larrañaga, P., Lozano, J.A., Bengoetxea, E.: Estimation of Distribution Algorithm based on multivariate normal and Gaussian networks. Technical report KZZA-IK-1-01. Department of Computer Science and Artificial Intelligence, University of the Basque Country (2001)
16. Larrañaga, P., Lozano, J.A.: Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Kluwer Academic Publishers, Dordrecht (2002)
17. Monjardin, P.E.: Análisis de dependencia en tiempo de falla. Master's thesis, Centro de Investigacíon en Matemáticas. Guanajuato, México (2007) (in Spanish)
18. Mühlenbein, H., Paaß, G.: From recombination of genes to the estimation of distributions I. Binary parameters. In: Ebeling, W., Rechenberg, I., Voigt, H.-M., Schwefel, H.-P. (eds.) PPSN 1996. LNCS, vol. 1141, pp. 178-187. Springer, Heidelberg (1996)
19. Mühlenbein, H.: The Equation for Response to Selection and its Use for Prediction. Evolutionary Computation 5(3), 303-346 (1998)
20. Nelsen, R.B.: An Introduction to Copulas. Springer, Heidelberg (2006)
21. Pelikan, M., Goldberg, D.E., Cantú-Paz, E.: BOA: The Bayesian optimization algorithm. In: Banzhaf, W., Daida, J., Eiben, A.E., Garzon, M.H., Honavar, V., Jakiela, M., Smith, R.E. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference GECCO 1999, vol. 1, pp. 525-532. Morgan Kaufmann Publishers, San Francisco (1999)
22. Pelikan, M., Mühlenbein, H.: The Bivariate Marginal Distribution Algorithm. In: Roy, R., Furuhashi, T., Chawdhry, P.K. (eds.) Advances in Soft Computing - Engineering Design and Manufacturing, pp. 521-535. Springer, Heidelberg (1999)
23. Schölzel, C., Friederichs, P.: Multivariate non-normally distributed random variables in climate research - introduction to the copula approach. Nonlinear Processes in Geophysics 15(5), 761-772 (2008)
24. Sklar, A.: Fonctions de répartition à n dimensions et leurs marges. Publications de l'Institut de Statistique de l'Université de Paris 8, 229-231 (1959)
25. Soto, M., Ochoa, A., Acid, S., de Campos, L.M.: Introducing the polytree approximation of distribution algorithm. In: Ochoa, A., Soto, M., Santana, R. (eds.) Second International Symposium on Artificial Intelligence, Adaptive Systems, CIMAF 1999, Academia, La Habana, pp. 360-367 (1999)
26. Trivedi, P.K., Zimmer, D.M.: Copula Modeling: An Introduction for Practitioners. In: vol. 1 of Foundations and Trends® in Econometrics Now Publishers (2007)
27. Wang, L.F., Zeng, J.C., Hong, Y.: Estimation of Distribution Algorithm Based on Archimedean Copulas. In: GEC 2009: Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation, pp. 993-996. ACM, New York (2009)
28. Wang, L.F., Zeng, J.C., Hong, Y.: Estimation of Distribution Algorithm Based on Copula Theory. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 1057-1063. IEEE Press, Los Alamitos (2009)