@article{SPS_1996__30__55_0,
author = {Kipnis, Claude and Saada, Ellen},
title = {Un lien entre r\'eseaux de neurones et syst\`emes de particules : un mod\`ele de r\'etinotopie},
journal = {S\'eminaire de probabilit\'es de Strasbourg},
volume = {30},
year = {1996},
pages = {55-67},
mrnumber = {1459476},
zbl = {0856.92001},
language = {en},
url = {http://dml.mathdoc.fr/item/SPS_1996__30__55_0}
}
Kipnis, Claude; Saada, Ellen. Un lien entre réseaux de neurones et systèmes de particules : un modèle de rétinotopie. Séminaire de probabilités de Strasbourg, Tome 30 (1996) pp. 55-67. http://gdmltest.u-ga.fr/item/SPS_1996__30__55_0/
[1] et (1993). Self-organization and convergence of the one-dimensional Kohonen algorithm with non uniformly distributed stimuli. Stoch. Proc. and Appl., 47, 249-274. | MR 1239840 | Zbl 0779.60075
[2] et (1977). Existence de processus Markoviens pour des systèmes infinis de particules. Ann. Inst. Henri Poincaré, sect. B, 13, 239-257. | Numdam | MR 488376 | Zbl 0384.60079
[3] et (1986). A stochastic model of retinotopy: a self-organizing process. Biol. Cybern., 53, 405-411. | MR 839498 | Zbl 0605.92001
[4] et (1987). Etude d'un processus d'auto-organisation. Ann. Inst. Henri Poincaré, sect. B, 23, 1-20. | Numdam | MR 877382 | Zbl 0605.92002
[5] (1994). Algorithmes stochastiques. Poly. de DEA, univ. de Marne-la-Vallée.
[6] (1991). Probability: Theory and examples. Wadsworth & Brooks /Cole. | Zbl 0709.60002
[7] (1993). Ten Lectures on Particle Systems. Notes du cours d'été de Saint-Flour. | Zbl 0840.60088
[8] (1968). An introduction to probability theory and its applications, vol 1, 3rd edition. Wiley, New York. | MR 228020 | Zbl 0155.23101
[9] et (1994). About the a.s. convergence of the Kohonen algorithm with a generalized neighbourhood function. Preprint. | MR 1384371
[10] (1982). Self-organized formation of topogically correct feature maps. Biol. Cybern., 43, 59-69. | MR 667889 | Zbl 0466.92002
[11] (1984). Self-organization and associative memory. Springer-Verlag, New York. | MR 728946 | Zbl 0528.68062
[12] (1985). Interacting particle systems. Springer-Verlag, New-York. | MR 776231 | Zbl 0559.60078
[13] et (1981). Ergodic theorems for coupled random walks and other systems with locally interacting components. Z. Warsch. Verw. Gebiete, 56, 443-448. | MR 621659 | Zbl 0444.60096
[14] (1981). Infinite systems with locally interacting components. Ann. Probab., 9, 349-364. | MR 614623 | Zbl 0462.60096
[15] et (1992). Convergence of self-organizing neural algorithms. Neural Networks, 5, 485-493.