L'algorithme SEM : un algorithme d'apprentissage probabiliste pour la reconnaissance de mélange de densités

Gilles Celeux; Jean Diebolt

Revue de Statistique Appliquée (1986)

  • Volume: 34, Issue: 2, page 35-52
  • ISSN: 0035-175X

How to cite

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Celeux, Gilles, and Diebolt, Jean. "L'algorithme SEM : un algorithme d'apprentissage probabiliste pour la reconnaissance de mélange de densités." Revue de Statistique Appliquée 34.2 (1986): 35-52. <http://eudml.org/doc/106197>.

@article{Celeux1986,
author = {Celeux, Gilles, Diebolt, Jean},
journal = {Revue de Statistique Appliquée},
keywords = {SEM algorithm; probabilistic learning; mixtures of densities; estimation; maximization; asymptotic behavior; simulations; Gaussian mixture; maximum likelihood; EM algorithm; classification},
language = {fre},
number = {2},
pages = {35-52},
publisher = {Société de Statistique de France},
title = {L'algorithme SEM : un algorithme d'apprentissage probabiliste pour la reconnaissance de mélange de densités},
url = {http://eudml.org/doc/106197},
volume = {34},
year = {1986},
}

TY - JOUR
AU - Celeux, Gilles
AU - Diebolt, Jean
TI - L'algorithme SEM : un algorithme d'apprentissage probabiliste pour la reconnaissance de mélange de densités
JO - Revue de Statistique Appliquée
PY - 1986
PB - Société de Statistique de France
VL - 34
IS - 2
SP - 35
EP - 52
LA - fre
KW - SEM algorithm; probabilistic learning; mixtures of densities; estimation; maximization; asymptotic behavior; simulations; Gaussian mixture; maximum likelihood; EM algorithm; classification
UR - http://eudml.org/doc/106197
ER -

References

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  1. [Ag 70] Agrawala. - "Learning with a probabilistic teacher" IEEE. Information theory, Vol. 16, nu. 4. Zbl0207.49302
  2. [Br Wy 78] BRYANT - WYLLIAMSON. - "Asymptotic behaviour of classification maximum likelihood estimates". Biometrika78, Vol. 68. Zbl0393.62011
  3. [Ce Di 84] CELEUX, DIEBOLT. - « Reconnaissance de mélange de densité et classification, un algorithme d'apprentissage probabiliste : l'algorithme SEM ». Rapport de recherche INRIA n° 349. 
  4. [Co 64] Cooper. - "Non supervised adaptative signal detection and pattern recognition". Information and Control, Vol. 7. Zbl0199.22402
  5. [Da 69] DAY. - "Estimating the components of a mixture of normal distributions". Biometrika 69, Vol. 56. Zbl0183.48106MR254956
  6. [Di 80] DIDAY et collaborateurs. - Optimisation en classification automatique. Editeur: INRIA. Zbl0471.62056
  7. [DLR 77] DEMPSTER - LAIRD - RUBIN. - "Maximum likelihood from incomplete data via the EM algorithm". JRSS.B., Vol. 39. Zbl0364.62022
  8. [Ev Ha 81] EVERITT - HAND. - Finite mixture distributions. Chapman and Hall. Zbl0466.62018
  9. [Ma 75] Marriott. — "Separating mixtures of normal distributions". Biometrika, 31. Zbl0308.62050
  10. [Ma Sm 76] MAKOV - SMITH. - "Quasi Bayes procedures for unsupervised learning". Proc. IEEE. Conf. on Decision and Control. 
  11. [Pe 94] Pearson. - "Contribution to the mathematic theory of evolution". Philos. Trans. Soc., nu. 185 (1894). 
  12. [Qu Ra 78] Quandt, Ramsey. - "Estimating mixtures of normal distributions and switching regression". JASA, Vol. 73. Zbl0401.62024
  13. [Re Wa 84] REDNER - WALKER. - "Mixture densities, maximum likelihood and the EM algorithm". SIAM Review, Vol. 26, No. 2, April 84. Zbl0536.62021MR738930
  14. [Sch 76] Schroeder. - "Analyse d'un mélange de distribution de probabilité de même type ". RSA, Vol. 24, nu. 1. 
  15. [Sc Sy 71] SCOTT - SYMONS. - "Clustering methods based on likelihood ratio criteria". Biometrics, Vol. 27. 
  16. [Sh 68] Shlezinger. - "An algorithm for solving the selforganization problem". Cybernetics, nu. 2. 
  17. [Si 80] Silverman. - "Some asymptotic properties of the probabilistic teacher" IEEE. Information theory, Vol. 26, nu. 2. Zbl0428.62026MR570331
  18. [Sm Ma 78] SMITH - MAKOV. - "A quasi Bayes sequential procedure for mixtures ". JRSS. B., Vol. 40, nu. 1. Zbl0377.62045MR512148
  19. [Te 62] Teicher. - "Identifiability of finite mixture". Ann. Math. Statist., Vol. 34. MR155376
  20. [Sy 81] Symons. - "Clustering criteria and multivariate normal mixtures". Biometrics, Vol. 37. Zbl0473.62048MR673031
  21. [Wo 70] Wolfe. - " Pattern clustering by multivariate mixture analysis". Multiv. Behav. Res., Vol. 5. 
  22. [Ya Sp 68] YAKOWITZ - SPRAGINS. - "On the identifiability of finite mixtures". Ann. Math. Statist., Vol. 39. Zbl0155.25703MR224204

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