Une nouvelle règle de classement, utilisant l'enveloppe convexe et la mesure de Lebesgue

P. Baufays; J.-P. Rasson

Statistique et analyse des données (1984)

  • Volume: 9, Issue: 2, page 31-47
  • ISSN: 0750-7364

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Baufays, P., and Rasson, J.-P.. "Une nouvelle règle de classement, utilisant l'enveloppe convexe et la mesure de Lebesgue." Statistique et analyse des données 9.2 (1984): 31-47. <http://eudml.org/doc/108907>.

@article{Baufays1984,
author = {Baufays, P., Rasson, J.-P.},
journal = {Statistique et analyse des données},
keywords = {convex hull; parametric discriminant analysis, piecewise linear discriminant curve; nearest neighbor rule; Lebesgue measure},
language = {fre},
number = {2},
pages = {31-47},
publisher = {Association pour la statistique et ses illustrations},
title = {Une nouvelle règle de classement, utilisant l'enveloppe convexe et la mesure de Lebesgue},
url = {http://eudml.org/doc/108907},
volume = {9},
year = {1984},
}

TY - JOUR
AU - Baufays, P.
AU - Rasson, J.-P.
TI - Une nouvelle règle de classement, utilisant l'enveloppe convexe et la mesure de Lebesgue
JO - Statistique et analyse des données
PY - 1984
PB - Association pour la statistique et ses illustrations
VL - 9
IS - 2
SP - 31
EP - 47
LA - fre
KW - convex hull; parametric discriminant analysis, piecewise linear discriminant curve; nearest neighbor rule; Lebesgue measure
UR - http://eudml.org/doc/108907
ER -

References

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  2. [2] Chow, C.K.. On Optimum Recognition Error and Reject Tradeoff, IEEE-IT 16 : 41-46, 1970. Zbl0185.47804
  3. [3] Degtyar, Y.U., et Finkelshten. M.Y., Classification Algoritms Based on Construction of Convex Hulls of Sets, Engineering Cybernetics 12 : 150-154, 1974. MR395378
  4. [4] Duda, R.O., et Hart, P.E., Pattern Recognition and Scene Analysis, Wiley, 1973. Zbl0277.68056
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  9. [9] Kendall, M.G., Discrimination and Classification, dans Krisnnaiah, ed., Proc. Int. Symp. on Multivariate Analysis, pp. 165-185, Academic Press, 1969. Zbl0236.62043
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  11. [11] Lasserre, J.B., An Analytical Expression and an Algorithm for the Volume of a Convex Polyhedron in Rn, à paraître dans Journal of Optimization Theory and Applications, 1984. Zbl0487.52006
  12. [12] Levrat, P., Utilisation du Polytope Convexe d'un Nombre Fini de Points dans les Problèmes de Classement, dans Proc. 2ème Congrès AFCET-IRIA, pp. 210-216, AFCET, 1979. 
  13. [13] Muller, D.E., et Preparata, F.P., Finding the Intersection of Two Convex Polyhecra, Theoretical Computer Science 7 : 217-236, 1978. Zbl0396.52002MR509019
  14. [14] Rasson, J.P., Estimation de Formes Convexes du Plar, Statistique et Analyse des Données 1 : 31-46, 1979. 
  15. [15] Ruspini, E., A New Approach to Clustering, Information and Control 15 : 22-32, 1979. Zbl0192.57101
  16. [16] Shamos, M.I., Geometric Conplexity, dans Proc. 7th ACM Conf. on the Theory of Computing, pp. 224-233. ACM, 1975. Zbl0357.68046MR464704
  17. [17] Tomek, I., A Generalization of the K-NN Rule, IEEE-Sys., Man., Cybern. 6 : 121-126, 1976. Zbl0339.68068MR445942
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  19. [19] Wilcox, L.D., et Wilson, D.L., A Single Nearest Neighbor Rule with a Reject Option, dans Proc. Fifth Int. Conf. Pattern Recognition, pp. 98-102, IEEE, 1980. 

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