NONMONOTONIC BEHAVIOR OF THE CAPACITY IN PHASOR NEURAL NETWORKS

被引:3
作者
BOLLE, D [1 ]
SHIM, GM [1 ]
机构
[1] KATHOLIEKE UNIV LEUVEN, INTERDISCIPLINAIR CENTRUM NEURALE NETWERKEN, B-3001 LOUVAIN, BELGIUM
关键词
D O I
10.1103/PhysRevE.50.5043
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The stochastic dynamics of Q-phasor neural networks is discussed using a probabilistic approach. For layered feedforward architectures and Hebbian learning, exact evolution equations are given for arbitrary Q at both zero and finite temperatures. The capacity-temperature diagram is presented. At zero temperature a nonmonotonic behavior of the capacity is found as a function of the number of phases Q, contrary to other multistate neural network models. © 1994 The American Physical Society.
引用
收藏
页码:5043 / 5046
页数:4
相关论文
共 14 条
[1]   PROPERTIES OF SPARSELY CONNECTED EXCITATORY NEURAL NETWORKS [J].
BARKAI, E ;
KANTER, I ;
SOMPOLINSKY, H .
PHYSICAL REVIEW A, 1990, 41 (02) :590-597
[2]   RETRIEVAL AND CHAOS IN EXTREMELY DILUTED Q-ISING NEURAL NETWORKS [J].
BOLLE, D ;
SHIM, GM ;
VINCK, B ;
ZAGREBNOV, VA .
JOURNAL OF STATISTICAL PHYSICS, 1994, 74 (3-4) :565-582
[3]   RETRIEVAL AND CHAOS IN LAYERED Q-ISING NEURAL NETWORKS [J].
BOLLE, D ;
SHIM, GM ;
VINCK, B .
JOURNAL OF STATISTICAL PHYSICS, 1994, 74 (3-4) :583-606
[4]   THE MEAN-FIELD THEORY OF A Q-STATE NEURAL NETWORK MODEL [J].
COOK, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (12) :2057-2067
[5]  
Domany E, 1991, MODELS NEURAL NETWOR, P307
[6]  
GANDOLFO D, CPT92P2728 U MARS RE
[7]   LEARNING WITH Q-STATE CLOCK NEURONS - OPTIMAL STORAGE CAPACITY AND ADATRON-ALGORITHM [J].
GERL, F ;
BAUER, K ;
KREY, U .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1992, 88 (03) :339-347
[8]   POTTS-GLASS MODELS OF NEURAL NETWORKS [J].
KANTER, I .
PHYSICAL REVIEW A, 1988, 37 (07) :2739-2742
[9]  
KREE R, 1991, MODELS NEURAL NETWOR, P193
[10]   ASSOCIATIVE MEMORY IN SPARSE PHASOR NEURAL NETWORKS [J].
NOEST, AJ .
EUROPHYSICS LETTERS, 1988, 6 (05) :469-474