ORDER-PARAMETER EVOLUTION IN A FEEDFORWARD NEURAL-NETWORK

被引：4

作者：

WONG, KYM

CAMPBELL, C

SHERRINGTON, D

机构：

[1] UNIV BRISTOL,DEPT ENGN MATH,BRISTOL BS8 1TR,AVON,ENGLAND

[2] UNIV OXFORD,DEPT PHYS,OXFORD OX1 3NP,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 06期

关键词：

D O I：

10.1088/0305-4470/28/6/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider layered neural networks in which the weights are trained with the pseudoinverse rule to store a set of random patterns. Using many-body diagrammatic techniques, the evolution in the network can be described by the overlap order parameter m and the noise parameter Delta. Looping effects are shown to be significant, in contrast to a previous conjecture. Order parameter pairs corresponding to various input conditions are found to collapse on a universal curve.

引用

页码：1603 / 1614

页数：12

共 23 条

[1] STATISTICAL NEURODYNAMICS OF ASSOCIATIVE MEMORY [J].

AMARI, S ;

MAGINU, K .

NEURAL NETWORKS, 1988, 1 (01) :63-73

[2]

[Anonymous], 1991, INTRO THEORY NEURAL, DOI DOI 10.1201/9780429499661

[3]

BOLLE D, 1994, IN PRESS J STAT PHYS

[4] DYNAMICS OF FULLY CONNECTED ATTRACTOR NEURAL NETWORKS NEAR SATURATION [J].

COOLEN, ACC ;

SHERRINGTON, D .

PHYSICAL REVIEW LETTERS, 1993, 71 (23) :3886-3889

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

DERRIDA, B ;

GARDNER, E ;

ZIPPELIUS, A .

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

[6] LAYERED NEURAL NETWORKS [J].

DOMANY, E ;

KINZEL, W ;

MEIR, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (12) :2081-2102

[7] ZERO TEMPERATURE PARALLEL DYNAMICS FOR INFINITE RANGE SPIN-GLASSES AND NEURAL NETWORKS [J].

GARDNER, E ;

DERRIDA, B ;

MOTTISHAW, P .

JOURNAL DE PHYSIQUE, 1987, 48 (05) :741-755

[8] THE SPACE OF INTERACTIONS IN NEURAL NETWORK MODELS [J].

GARDNER, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (01) :257-270

[9] DISTRIBUTION OF INTERNAL FIELDS AND DYNAMICS OF NEURAL NETWORKS [J].

HENKEL, RD ;

OPPER, M .

EUROPHYSICS LETTERS, 1990, 11 (05) :403-408

[10] PARALLEL DYNAMICS OF THE NEURAL NETWORK WITH THE PSEUDOINVERSE COUPLING MATRIX [J].

HENKEL, RD ;

OPPER, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (09) :2201-2218

← 1 2 3 →