Direct calculation of the stable points of a neural network
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 467-479 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Neural networks with two different connection matrices are investigated: the Hebbian and the projection matrix. The structure of the stable points of such networks is investigated, and a method for direct calculation of all stable points is proposed.
@article{TMF_1994_101_3_a14,
     author = {L. B. Litinskii},
     title = {Direct calculation of the stable points of a~neural network},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {467--479},
     year = {1994},
     volume = {101},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a14/}
}
TY  - JOUR
AU  - L. B. Litinskii
TI  - Direct calculation of the stable points of a neural network
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 467
EP  - 479
VL  - 101
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a14/
LA  - ru
ID  - TMF_1994_101_3_a14
ER  - 
%0 Journal Article
%A L. B. Litinskii
%T Direct calculation of the stable points of a neural network
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 467-479
%V 101
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a14/
%G ru
%F TMF_1994_101_3_a14
L. B. Litinskii. Direct calculation of the stable points of a neural network. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 467-479. http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a14/

[1] Hopfield J. J., Proc. Natl. Acad. Sci. USA, 79 (1982), 2254–2261 | DOI | MR

[2] Personnaz L., Guyon H., Dreyfus G., J. Phys. Lett., 46 (1985), 359–365 | DOI

[3] Amit D. J., Gutfreund H., Sompolinsky H., Phys. Rev. Lett., 55 (1985), 1530–1534 | DOI

[4] Amit D. J., Gutfreund H., Sompolinsky H., Phys. Rev. A, 32 (1985), 1007–1018 | DOI | MR

[5] Amit D. J., Gutfreund H., Sompolinsky H., Phys. Rev. A, 34 (1987), 2293–2304 | DOI | MR

[6] Personnaz L., Guyon H., Dreyfus G., Phys. Rev. A, 34 (1987), 4217–4227 | DOI | MR

[7] Sompolinsky H., Proceedings of the Heidelberg Colloquium on Glassy Dynamics, eds. J. L. van Hemmen, I. Morgenstern, Heidelberg, 1986 ; Lecture Notes in Physics, 275, Springer-Verlag, Berlin–Heidelberg–New York, 1987, 321–348 | MR | MR

[8] Litinsky L. B., Sol. St. Comm., 79 (1991), 879–884 | DOI