| |
1
|
N. Alon and J. Spencer. The ProbabzIistic Method. Wiley, 1992.
|
| |
2
|
E. Barkai and I. Kanter. Storage capacity of a multilayer neural network with binary weights. Europhys. Left., 14:107-112, 1991.
|
| |
3
|
L. Breiman. Probabzlity. Addison-Wesley, 1968.
|
| |
4
|
T. M. Cover. Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition. IEEE Transactions or~ Electronzc Computers, 14:326-331, 1965.
|
| |
5
|
Z. Ffiredi. Random polytopes in the d-dimensional cube. Dzscrete Comput. Geom., 1:315 319, 1986.
|
| |
6
|
E. Gardner. Maximum storage capacity in neural networks. Europhys Lett., 4:481-485, 1987.
|
| |
7
|
E. Gardner. The space of interactions in neural network models. J. Phys. A, 21:257-270, 1988.
|
| |
8
|
E. Gardner and B. Derrida. Optimal storage properties of neural network models. J. Phys. A, 21:271-284, 1988.
|
 |
9
|
|
| |
10
|
G. Gyorgyi. First-order transition to perfect generalization in a neural network with binary synapses. Phys. Rev. A, 41:7097-7100, 1990.
|
 |
11
|
David Haussler , H. Sebastian Seung , Michael Kearns , Naftali Tishby, Rigorous learning curve bounds from statistical mechanics, Proceedings of the seventh annual conference on Computational learning theory, p.76-87, July 12-15, 1994, New Brunswick, New Jersey, United States
[doi> 10.1145/180139.181018]
|
| |
12
|
D. O. Hebb. The Organization of Behavwr. Wiley, New York, 1949.
|
| |
13
|
|
| |
14
|
J. J. Hopfield. Nem'al networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America, 79:2554- 2558, 1982.
|
| |
15
|
J. Kahn, J. Koml6s, and E. Szemerddi. Singularity probability for random ~1 matrices. Preprint, 1993.
|
| |
16
|
H. K6hler, S. Diederich, W. Kinzel, and M. Opper. Learning algorithm for a neural network with binary synapses. Z. Phys. B, 78:333-342, 1990.
|
| |
17
|
J. H. Kim. {n preparation.
|
| |
18
|
|
| |
19
|
T. Kohonen. State of the art in neural computing. IEEE First International Conference on Neural Networks I, pages 77-90, 1987.
|
| |
20
|
W. Krauth and M. M6zard. Storage capacity of memory networks with binary couplings. J. Phys., 50:3057-3066, 1989.
|
| |
21
|
W. Krauth and M. Opper. Critical storage capacity of the j = +1 neural network. J. Phys. A, 22:L519- L523, 1989.
|
| |
22
|
Y. S. Lashley. The neurophysiology of Lashley; Selected papers of K. S. Lashley. McGraw-Hill, New York, 1960.
|
| |
23
|
W. A. Little. The existence of persistent states in the brain. Mathematical Biosciences, 19:101-119, 1974.
|
| |
24
|
W. A. Little and C. L, Shaw. Analytic study of the memory storage capacity of a neural network. Mathematical Biosciences, 39:281-290, 1978.
|
| |
25
|
G. Mato and N. Parga. Generalization properties of multilayered neural networks. J. Phys. A: Math. Gen., 25:5047-5054, 1992.
|
| |
26
|
W. S. McCulloch and W. H. Pitts. A logical calculus for ideas immanent in nervous activity. Bulletin of Mathematical Bzophys~cs, 5:115-133, 1943.
|
| |
27
|
H. S. Seung, H. Sompolinsky, and N. Tishby. Statistical mechanics of learning from examples. Phys. Rev. A, 45:6056-6091, 1992.
|
| |
28
|
|
| |
29
|
J. Wendel. A problem in geometric probability. Math. Scand., 11:109-111, 1962.
|