THERMODYNAMIC PROPERTIES OF FULLY CONNECTED Q-ISING NEURAL NETWORKS

被引：22

作者：

BOLLE, D

RIEGER, H

SHIM, GM

机构：

[1] INTERDISCIPLINAIR CENTRUM NEURALE NETWERKEN,B-3001 LOUVAIN,BELGIUM

[2] UNIV COLOGNE,INST THEORET PHYS,D-50937 COLOGNE,GERMANY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 10期

关键词：

D O I：

10.1088/0305-4470/27/10/018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The thermodynamic and retrieval properties of fully connected Q-Ising networks are studied in the replica-symmetric mean-field approximation. In particular, capacity-gain parameter and capacity-temperature phase diagrams are derived for Q = 3, 4 and Q = infinity and different distributions of the stored patterns. Furthermore, the optimal gain function is determined in order to obtain the best performance. Where appropriate, the results are compared with the diluted and layered versions of these models.

引用

页码：3411 / 3426

页数：16

共 17 条

[1]

AMIT DJ, 1987, ANN PHYS, V55, P1530

[2] ON THE OVERLAP DYNAMICS OF MULTISTATE NEURAL NETWORKS WITH A FINITE NUMBER OF PATTERNS [J].

BOLLE, D ;

DUPONT, P ;

VINCK, B .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (10) :2859-2872

[3] THE OPTIMAL STORAGE CAPACITY FOR A NEURAL NETWORK WITH MULTISTATE NEURONS [J].

BOLLE, D ;

DUPONT, P ;

VANMOURIK, J .

EUROPHYSICS LETTERS, 1991, 15 (08) :893-898

[4] ON THE PARALLEL DYNAMICS OF THE Q-STATE POTTS AND Q-ISING NEURAL NETWORKS [J].

BOLLE, D ;

VINCK, B ;

ZAGREBNOV, VA .

JOURNAL OF STATISTICAL PHYSICS, 1993, 70 (5-6) :1099-1119

[5] OPTIMAL CAPACITY OF GRADED-RESPONSE PERCEPTRONS [J].

BOLLE, D ;

KUHN, R ;

VANMOURIK, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (13) :3149-3158

[6]

BOLLE D, 1994, IN PRESS J STAT PHYS, V74

[7] GENERALIZATION ABILITY OF PERCEPTRONS WITH CONTINUOUS OUTPUTS [J].

BOS, S ;

KINZEL, W ;

OPPER, M .

PHYSICAL REVIEW E, 1993, 47 (02) :1384-1391

[8]

BOS S, 1993, HDTVP9319 U HEID PRE

[9] ON THE Q-STATE NEURON PROBLEM IN ATTRACTOR NEURAL NETWORKS [J].

KOHRING, GA .

NEURAL NETWORKS, 1993, 6 (04) :573-581

[10]

KOHRING GA, 1992, J PHYS I, V2, P1549, DOI 10.1051/jp1:1992226

← 1 2 →