Une nouvelle approche des problèmes de classification automatique
Hardy, André ; Rasson, Jean-Paul
Statistique et analyse des données, Tome 7 (1982), p. 41-56 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{SAD_1982__7_2_41_0,
     author = {Hardy, Andr\'e and Rasson, Jean-Paul},
     title = {Une nouvelle approche des probl\`emes de classification automatique},
     journal = {Statistique et analyse des donn\'ees},
     volume = {7},
     year = {1982},
     pages = {41-56},
     mrnumber = {685752},
     zbl = {0505.62040},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/SAD_1982__7_2_41_0}
}

Hardy, André; Rasson, Jean-Paul. Une nouvelle approche des problèmes de classification automatique. Statistique et analyse des données, Tome 7 (1982) pp. 41-56. http://gdmltest.u-ga.fr/item/SAD_1982__7_2_41_0/

[1] P.A.W.Lewis, "Stochastic Point Processes", Wiley, New York, 1972. | MR 359226 | Zbl 0238.00014

[2] K. Krickeberg, "Moments of point processes", Lecture Notes in Mathematics 296, pp. 70-101, 1973. | MR 378095 | Zbl 0268.60053

[3] J.P. Rasson, "Estimation de formes convexes du plan", Statistique et Analyse des Données 1, pp. 31-46, 1979.

[4] J.A. Hartigan, "Clustering Algorithms", Wiley, New York, 1975. | MR 405726 | Zbl 0372.62040

[5] H. Spath, "Cluster Analysis Algorithms", Wiley, Chichester, 1980.

[6] R.L. Graham, "An efficient algorithm for determining the convex hull of a finite planar set", Information Processing Letters 1, pp. 132-133, 1972. | Zbl 0236.68013

[7] F.P. Preparata & S.J. Hong, "Convex hulls of finite sets in two and three dimensions", Communications of the ACM 20, 2, pp. 87-93, 1977. | MR 488985 | Zbl 0342.68030

[8] A. C. Yao, "A lower bound to finding convex hulls", Stanford University Computer Science Department Report STAN-CS-79-733, 1979. | Zbl 0468.68080

[9] J.L. Bentley & M.I. Shamos, "Divide and conquer for linear expected time", Information Processing Letters 7, 2, pp. 87-91, 1978. | MR 483687 | Zbl 0404.68046

[10] L. Devroye, "A note on finding convex hulls via maximal vectors", Information Processing Letters 11, 1, pp. 53-56, 1980. | MR 585406 | Zbl 0444.68063

[11] J.L. Bentley, M.G. Faust & F.P. Preparata, "Approximation Algorithms for convex hulls", Communications of the ACM 25, 1, pp. 64-68, 1982. | MR 662578 | Zbl 0466.68059

[12] J. Cohen & T. Hickey, "Two algorithms for determining volumes of convex polyhedra", Journal of the ACM 26, 3, pp. 401-414, 1979. | MR 535261 | Zbl 0403.68067

[13] L. Fisher & J.W. Van Ness, "Admissible clustering procedures", Biometrika 58, pp. 91-104, 1971. | MR 347007 | Zbl 0224.62030

[14] Sidak, "Some ideas for the comparison of clustering procedures", 12th European Meeting of Statisticians, Varna, 1979.

[15] G. Nagy, "State of the art in pattern recognition", Proceedings of the IEEE 56, 5, pp. 836-862, 1968.

[16] E. Ruspini, "A new approach to clustering", Information and Control 15, pp. 22-32, 1969. | Zbl 0192.57101

[17] E. Diday, "Nouvelles méthodes et nouveaux concepts en classification automatique et reconnaissance des formes", Thèse d'Etat, Paris, 1972.

[18] P. Hansen & M. Delattre, "Complete-link cluster analysis by graph coloring" J. Am. Statist. Assoc. 73, pp. 397-403, 1978. | Zbl 0432.05004

[19] D.R. Chand & S.S. Kapur, "An algorithm for convex polytopes", Journal of the ACM 17, pp. 78-86, 1970. | MR 278177 | Zbl 0199.50902

[20] T. Lengyel, "A note on the number of clustering", 12th European Meeting of Statisticians, Varna, 1979.

[21] J.P. Benzecri et coll., "L'Analyse des Données. Vol. I : La Taxinomie", Dunod, Paris, 1973. | MR 593138 | Zbl 0503.62002

[22] E. Diday et coll., "Optimisation en classification automatique", INRIA, 1979. | Zbl 0471.62056

[23] S. Regnier, "Sur quelques aspects mathématiques des problèmes de classification automatique", ICC Bulletin 4, pp. 175-191, 1965. | Zbl 0548.62040

[24] I.C. Lerman, "Les Bases de la Classification Automatique", Gauthier-Villars, Paris, 1970. | MR 349079 | Zbl 0199.51402

[25] Said Ali Hassan, "Recherche des sommets et arêtes de l'enveloppe convexe d'un nombre fini de points", Thèse de Docteur-Ingénieur, Toulouse, 1981.