The dynamics of mutation-selection algorithms with large population sizes

Raphaël Cerf

Annales de l'I.H.P. Probabilités et statistiques (1996)

  • Volume: 32, Issue: 4, page 455-508
  • ISSN: 0246-0203

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Cerf, Raphaël. "The dynamics of mutation-selection algorithms with large population sizes." Annales de l'I.H.P. Probabilités et statistiques 32.4 (1996): 455-508. <http://eudml.org/doc/77543>.

@article{Cerf1996,
author = {Cerf, Raphaël},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Freidlin-Wentzell theory; evolutionary algorithms; stochastic optimization},
language = {eng},
number = {4},
pages = {455-508},
publisher = {Gauthier-Villars},
title = {The dynamics of mutation-selection algorithms with large population sizes},
url = {http://eudml.org/doc/77543},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Cerf, Raphaël
TI - The dynamics of mutation-selection algorithms with large population sizes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1996
PB - Gauthier-Villars
VL - 32
IS - 4
SP - 455
EP - 508
LA - eng
KW - Freidlin-Wentzell theory; evolutionary algorithms; stochastic optimization
UR - http://eudml.org/doc/77543
ER -

References

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  3. [3] R. Cerf, Asymptotic convergence of genetic algorithms, Preprint, submitted, 1993. MR1642852
  4. [4] M.I. Freidlin and A.D. Wentzell, Random perturbations of dynamical systems, Springer-Verlag, New York, 1984. Zbl0522.60055MR722136
  5. [5] D. Goldberg, Genetic algorithms in search, optimization and machine learning, Addison-Wesley, 1989. Zbl0721.68056
  6. [6] J.H. Holland, Adaptation in natural and artificial systems, The University of Michigan Press, Ann. Arbor, 1975. Zbl0317.68006MR441393
  7. [7] C.R. Hwang and S.J. Sheu, Singular perturbed Markov chains and exact behaviours of simulated annealing process, Journal ofTheoretical Probability, Vol. 5, No. 2, 1992, pp. 223-249. Zbl0755.60047MR1157983
  8. [8] A. Trouvé, Convergence optimale pour les algorithmes de recuits généralisés, C. R. Acad. Sci. Paris, t. 315, Série I, 1992, pp. 1197-1202. Zbl0776.60088MR1194517
  9. [9] A. Trouvé, Cycle decompositions and simulated annealing, Preprint, 1993. MR1384962
  10. [10] A. Trouvé, Parallélisation massive du recuit simulé, Ph. D. Thesis, University ParisXI, 1993. 
  11. [11] A. Trouvé, Rough large deviation estimates for the optimal convergence speed exponent of generalized simulated annealing algorithms, Preprint, 1993. Zbl0853.60029

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