PARALLEL DYNAMIC FOR AN EXTREMELY DILUTED NEURAL NETWORK

被引：11

作者：

PATRICK, AE

ZAGREBNOV, VA

机构：

[1] Lab. of Theor. Phys., JINR, Dubna

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 24期

关键词：

D O I：

10.1088/0305-4470/23/24/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a symmetric version of the Derrida-Gardner-Zippelius (DGZ) model. It is shown that in the limit of extreme dilution this modification of the DGZ model can be solved exactly. This means that for the evolution of the main overlap we obtain analytic expressions which (in contrast to the DGZ model) constitute a chain of coupled equations.

引用

页码：L1323 / L1329

页数：7

共 12 条

[1]

[Anonymous], 1989, MODELING BRAIN FUNCT

[2] PROPERTIES OF SPARSELY CONNECTED EXCITATORY NEURAL NETWORKS [J].

BARKAI, E ;

KANTER, I ;

SOMPOLINSKY, H .

PHYSICAL REVIEW A, 1990, 41 (02) :590-597

[3] THE FREEZING TRANSITION IN DISORDERED NONEQUILIBRIUM SYSTEMS [J].

BAUSCH, R ;

JANSSEN, HK ;

KREE, R ;

ZIPPELIUS, A .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (32) :L779-L783

[4] DYNAMICS OF SPIN SYSTEMS WITH RANDOMLY ASYMMETRIC BONDS - ISING SPINS AND GLAUBER DYNAMICS [J].

CRISANTI, A ;

SOMPOLINSKY, H .

PHYSICAL REVIEW A, 1988, 37 (12) :4865-4874

[5] LEARNING AND FORGETTING ON ASYMMETRIC, DILUTED NEURAL NETWORKS [J].

DERRIDA, B ;

NADAL, JP .

JOURNAL OF STATISTICAL PHYSICS, 1987, 49 (5-6) :993-1009

[6] AN EXACTLY SOLVABLE ASYMMETRIC NEURAL NETWORK MODEL [J].

DERRIDA, B ;

GARDNER, E ;

ZIPPELIUS, A .

EUROPHYSICS LETTERS, 1987, 4 (02) :167-173

[7] ON THE APPROACH OF THE STATIONARY STATE IN KAUFFMANS RANDOM BOOLEAN NETWORK [J].

HILHORST, HJ ;

NIJMEIJER, M .

JOURNAL DE PHYSIQUE, 1987, 48 (02) :185-191

[8] LEARNING AND PATTERN-RECOGNITION IN SPIN-GLASS MODELS [J].

KINZEL, W .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 60 (2-4) :205-213

[9] DYNAMICS OF A MULTILAYERED PERCEPTRON MODEL - A RIGOROUS RESULT [J].

PATRICK, AE ;

ZAGREBNOV, VA .

JOURNAL DE PHYSIQUE, 1990, 51 (11) :1129-1137

[10]

PATRICK AE, 1989, CPT89P2311 PREPR

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