-
2
-
-
11744358706
-
Spin glass model of neural networks
-
Amit, D. J., Gutfreund, H., Sompolinsky, H.: Spin glass model of neural networks. Phys. Rev. A 32, 1007-1018 (1985).
-
(1985)
Phys. Rev. A
, vol.32
, pp. 1007-1018
-
-
Amit, D.J.1
Gutfreund, H.2
Sompolinsky, H.3
-
3
-
-
4244216476
-
Storing infinite numbers of patterns in a spin glass model of neural networks
-
Amit, D. J., Gutfreund, H., Sompolinsky, H.: Storing infinite numbers of patterns in a spin glass model of neural networks. Phys. Rev. Lett. 55, 1530-1533 (1985).
-
(1985)
Phys. Rev. Lett.
, vol.55
, pp. 1530-1533
-
-
Amit, D.J.1
Gutfreund, H.2
Sompolinsky, H.3
-
4
-
-
50149095387
-
The mean field Ising model trough interpolating techniques
-
Barra, A.: The mean field Ising model trough interpolating techniques. J. Stat. Phys. 132, 12-32 (2008).
-
(2008)
J. Stat. Phys.
, vol.132
, pp. 12-32
-
-
Barra, A.1
-
5
-
-
58149231425
-
About the ergodic regime in the analogical Hopfield neural networks: Moments of the partition function
-
125217
-
Barra, A., Guerra, F.: About the ergodic regime in the analogical Hopfield neural networks: moments of the partition function. J. Math. Phys. 50, 125217 (2008).
-
(2008)
J. Math. Phys.
, vol.50
-
-
Barra, A.1
Guerra, F.2
-
7
-
-
0033246855
-
Stochastic symmetry-breaking in a Gaussian Hopfield-model
-
Bovier, A., van Enter, A. C. D., Niederhauser, B.: Stochastic symmetry-breaking in a Gaussian Hopfield-model. J. Stat. Phys. 95, 181-213 (1999).
-
(1999)
J. Stat. Phys.
, vol.95
, pp. 181-213
-
-
Bovier, A.1
van Enter, A.C.D.2
Niederhauser, B.3
-
9
-
-
85204037839
-
-
Genovese, G., Barra, A.: A certain class of Curie-Weiss models. arXiv: 0906. 4673 (2009).
-
-
-
-
10
-
-
2842590295
-
About the overlap distribution in mean field spin glass models
-
Guerra, F.: About the overlap distribution in mean field spin glass models. Int. J. Mod. Phys. B 10, 1675-1684 (1996).
-
(1996)
Int. J. Mod. Phys. B
, vol.10
, pp. 1675-1684
-
-
Guerra, F.1
-
11
-
-
0000246795
-
Sum rules for the free energy in the mean field spin glass model
-
Fields Institute Communications, Providence: Amer. Math. Soc
-
Guerra, F.: Sum rules for the free energy in the mean field spin glass model. In: Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects. Fields Institute Communications, vol. 30 Amer. Math. Soc., Providence (2001).
-
(2001)
Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects
, vol.30
-
-
Guerra, F.1
-
12
-
-
0037329695
-
Broken replica symmetry bounds in the mean field spin glass model
-
Guerra, F.: Broken replica symmetry bounds in the mean field spin glass model. Commun. Math. Phys. 233, 1-12 (2003).
-
(2003)
Commun. Math. Phys.
, vol.233
, pp. 1-12
-
-
Guerra, F.1
-
13
-
-
77956675511
-
An introduction to mean field spin glass theory: Methods and results
-
A. Bovier (Ed.), Oxford: Elsevier
-
Guerra, F.: An introduction to mean field spin glass theory: methods and results. In: Bovier, A., et al. (eds.) Mathematical Statistical Physics, pp. 243-271. Elsevier, Oxford (2006).
-
(2006)
Mathematical Statistical Physics
, pp. 243-271
-
-
Guerra, F.1
-
14
-
-
0036768858
-
The thermodynamic limit in mean field spin glass models
-
Guerra, F., Toninelli, F. L.: The thermodynamic limit in mean field spin glass models. Commun. Math. Phys. 230, 71-79 (2002).
-
(2002)
Commun. Math. Phys.
, vol.230
, pp. 71-79
-
-
Guerra, F.1
Toninelli, F.L.2
-
15
-
-
1642489062
-
The infinite volume limit in generalized mean field disordered models
-
Guerra, F., Toninelli, F. L.: The infinite volume limit in generalized mean field disordered models. Markov Process. Relat. Fields 9, 195-207 (2003).
-
(2003)
Markov Process. Relat. Fields
, vol.9
, pp. 195-207
-
-
Guerra, F.1
Toninelli, F.L.2
-
17
-
-
0020118274
-
Neural networks and physical systems with emergent collective computational abilities
-
Hopfield, J. J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. 79, 2554-2558 (1982).
-
(1982)
Proc. Natl. Acad. Sci.
, vol.79
, pp. 2554-2558
-
-
Hopfield, J.J.1
-
18
-
-
21344485673
-
The replica symmetric solution of the Hopfield model without replica trick
-
Pastur, L., Scherbina, M., Tirozzi, B.: The replica symmetric solution of the Hopfield model without replica trick. J. Stat. Phys. 74, 1161-1183 (1994).
-
(1994)
J. Stat. Phys.
, vol.74
, pp. 1161-1183
-
-
Pastur, L.1
Scherbina, M.2
Tirozzi, B.3
-
19
-
-
0033241160
-
On the replica symmetric equations for the Hopfield model
-
Pastur, L., Scherbina, M., Tirozzi, B.: On the replica symmetric equations for the Hopfield model. J. Math. Phys. 40, 3930-3947 (1999).
-
(1999)
J. Math. Phys.
, vol.40
, pp. 3930-3947
-
-
Pastur, L.1
Scherbina, M.2
Tirozzi, B.3
-
20
-
-
0009148982
-
Rigourous results for the Hopfield model with many patterns
-
Talagrand, M.: Rigourous results for the Hopfield model with many patterns. Probab. Theory Relat. Fields 110, 177-276 (1998).
-
(1998)
Probab. Theory Relat. Fields
, vol.110
, pp. 177-276
-
-
Talagrand, M.1
-
21
-
-
0034558587
-
Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model
-
Talagrand, M.: Exponential inequalities and convergence of moments in the replica-symmetric regime of the Hopfield model. Ann. Probab. 38, 1393-1469 (2000).
-
(2000)
Ann. Probab.
, vol.38
, pp. 1393-1469
-
-
Talagrand, M.1
|