Asymptotic behavior of the magnetization for the perceptron model
Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 3, pp. 327-342.
@article{AIHPB_2006__42_3_327_0,
     author = {M\'arquez-Carreras, David and Rovira, Carles and Tindel, Samy},
     title = {Asymptotic behavior of the magnetization for the perceptron model},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {327--342},
     publisher = {Elsevier},
     volume = {42},
     number = {3},
     year = {2006},
     doi = {10.1016/j.anihpb.2005.04.005},
     mrnumber = {2219713},
     zbl = {1088.60093},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpb.2005.04.005/}
}
TY  - JOUR
AU  - Márquez-Carreras, David
AU  - Rovira, Carles
AU  - Tindel, Samy
TI  - Asymptotic behavior of the magnetization for the perceptron model
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2006
SP  - 327
EP  - 342
VL  - 42
IS  - 3
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.anihpb.2005.04.005/
DO  - 10.1016/j.anihpb.2005.04.005
LA  - en
ID  - AIHPB_2006__42_3_327_0
ER  - 
%0 Journal Article
%A Márquez-Carreras, David
%A Rovira, Carles
%A Tindel, Samy
%T Asymptotic behavior of the magnetization for the perceptron model
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2006
%P 327-342
%V 42
%N 3
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.anihpb.2005.04.005/
%R 10.1016/j.anihpb.2005.04.005
%G en
%F AIHPB_2006__42_3_327_0
Márquez-Carreras, David; Rovira, Carles; Tindel, Samy. Asymptotic behavior of the magnetization for the perceptron model. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 3, pp. 327-342. doi : 10.1016/j.anihpb.2005.04.005. http://www.numdam.org/articles/10.1016/j.anihpb.2005.04.005/

[1] X. Bardina, D. Márquez-Carreras, C. Rovira, S. Tindel, The p-spins interaction model with external field, Potential Anal. 21 (4) (2004) 311-362. | MR | Zbl

[2] J. Hertz, A. Krogh, R. Palmer, Introduction to the Theory of Neural Computation, Addison-Wesley Publishing Company, 1991. | MR

[3] M. Shcherbina, B. Tirozzi, Rigorous solution of the Gardner problem, Comm. Math. Phys. 234 (3) (2003) 383-422. | MR | Zbl

[4] M. Talagrand, Spin Glasses: A Challenge for Mathematicians, Springer, Berlin, 2003. | MR | Zbl

Cité par Sources :