THE STATISTICAL-MECHANICS OF LEARNING A RULE

被引:327
作者
WATKIN, TLH [1 ]
RAU, A [1 ]
BIEHL, M [1 ]
机构
[1] JULIUS MAXIMILIANS UNIV, INST PHYS, W-8700 WURZBURG, GERMANY
关键词
D O I
10.1103/RevModPhys.65.499
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A summary is presented of the statistical mechanical theory of learning a rule with a neural network, a rapidly advancing area which is closely related to other inverse problems frequently encountered by physicists. By emphasizing the relationship between neural networks and strongly interacting physical systems, such as spin glasses, the authors show how learning theory has provided a workshop in which to develop new, exact analytical techniques.
引用
收藏
页码:499 / 556
页数:58
相关论文
共 219 条
[61]  
FISHER ME, 1964, PHYS REV A, V133, P224
[62]  
Frean M, 1990, NEURAL COMPUT, V2, P198
[63]  
GALLANT SI, 1986, 8TH P ANN C COGN SCI, P652
[64]   THE PHASE-SPACE OF INTERACTIONS IN NEURAL NETWORKS WITH DEFINITE SYMMETRY [J].
GARDNER, E ;
GUTFREUND, H ;
YEKUTIELI, I .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (12) :1995-2008
[65]   STRUCTURE OF METASTABLE STATES IN THE HOPFIELD MODEL [J].
GARDNER, E .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (16) :1047-1052
[66]   OPTIMAL STORAGE PROPERTIES OF NEURAL NETWORK MODELS [J].
GARDNER, E ;
DERRIDA, B .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (01) :271-284
[67]   THE SPACE OF INTERACTIONS IN NEURAL NETWORK MODELS [J].
GARDNER, E .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (01) :257-270
[68]   3 UNFINISHED WORKS ON THE OPTIMAL STORAGE CAPACITY OF NETWORKS [J].
GARDNER, E ;
DERRIDA, B .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (12) :1983-1994
[69]   MAXIMUM STORAGE CAPACITY IN NEURAL NETWORKS [J].
GARDNER, E .
EUROPHYSICS LETTERS, 1987, 4 (04) :481-485
[70]  
Garey M.R., 1979, COMPUTERS INTRACTABI, V174