Thermodynamics of fully connected Blume-Emery-Griffiths neural networks

被引:7
作者
Bollé, D [1 ]
Verbeiren, T [1 ]
机构
[1] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Louvain, Belgium
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 02期
关键词
D O I
10.1088/0305-4470/36/2/301
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 Blume-Emery-Griffiths networks are studied using replica mean-field theory. These networks can be considered as generalizations of the Hopfield model to the storage of ternary patterns. Capacity-temperature phase diagrams are derived for several values of the pattern activity. It is found that the retrieval phase is the largest in comparison with other three-state neuron models. Furthermore, the meaning and stability of the so-called quadrupolar phase is discussed as a function of both the temperature and the pattern activity. Where appropriate, the results are compared with the diluted version of the model.
引用
收藏
页码:295 / 305
页数:11
相关论文
共 18 条
[1]   INFORMATION-STORAGE IN NEURAL NETWORKS WITH LOW-LEVELS OF ACTIVITY [J].
AMIT, DJ ;
GUTFREUND, H ;
SOMPOLINSKY, H .
PHYSICAL REVIEW A, 1987, 35 (05) :2293-2303
[2]   STATISTICAL-MECHANICS OF NEURAL NETWORKS NEAR SATURATION [J].
AMIT, DJ ;
GUTFREUND, H ;
SOMPOLINSKY, H .
ANNALS OF PHYSICS, 1987, 173 (01) :30-67
[3]   PROPERTIES OF SPARSELY CONNECTED EXCITATORY NEURAL NETWORKS [J].
BARKAI, E ;
KANTER, I ;
SOMPOLINSKY, H .
PHYSICAL REVIEW A, 1990, 41 (02) :590-597
[4]   THEORY OF FIRST-ORDER MAGNETIC PHASE CHANGE IN UO2 [J].
BLUME, M .
PHYSICAL REVIEW, 1966, 141 (02) :517-&
[5]   ISING MODEL FOR LAMBDA TRANSITION AND PHASE SEPARATION IN HE-3-HE-4 MIXTURES [J].
BLUME, M ;
EMERGY, VJ ;
GRIFFITHS, RB .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 4 (03) :1071-+
[6]   An optimal Q-state neural network using mutual information [J].
Bollé, D ;
Verbeiren, T .
PHYSICS LETTERS A, 2002, 297 (3-4) :156-161
[7]   THERMODYNAMIC PROPERTIES OF THE Q-STATE POTTS-GLASS NEURAL NETWORK [J].
BOLLE, D ;
DUPONT, P ;
HUYGHEBAERT, J .
PHYSICAL REVIEW A, 1992, 45 (06) :4194-4197
[8]   THERMODYNAMIC PROPERTIES OF FULLY CONNECTED Q-ISING NEURAL NETWORKS [J].
BOLLE, D ;
RIEGER, H ;
SHIM, GM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (10) :3411-3426
[9]  
BOLLE D, 2002, CONDMAT0210256
[10]  
BOLLE D, 2002, CONDMAT0206569