Learning by random walks in the weight space of the Ising perceptron

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	Huang, Haiping; Zhou, Haijun; Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
	Learning by random walks in the weight space of the Ising perceptron
Source Publication	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Keyword	Constraint Satisfaction Problems Neural Network Models Binary Perceptron Storage Capacity Synapses Algorithm Couplings Plasticity Dynamics
Abstract	Several variants of a stochastic local search process for constructing the synaptic weights of an Ising perceptron are studied. In this process, binary patterns are sequentially presented to the Ising perceptron and are then learned as the synaptic weight configuration is modified through a chain of single- or double-weight flips within the compatible weight configuration space of the earlier learned patterns. This process is able to reach a storage capacity of alpha approximate to 0.63 for pattern length N = 101 and alpha approximate to 0.41 for N = 1001. If in addition a relearning process is exploited, the learning performance is further improved to a storage capacity of alpha approximate to 0.80 for N = 101 and alpha approximate to 0.42 for N = 1001. We found that, for a given learning task, the solutions constructed by the random walk learning process are separated by a typical Hamming distance, which decreases with the constraint density a of the learning task; at a fixed value of a, the width of the Hamming distance distribution decreases with N.
	2010
ISSN	1742-5468
Issue	75 Pages:-
Subject Area	Physics
Indexed By	SCI
Funding Organization	National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903] ; National Science Foundation of China[10774150, 10834014]; China 973-Program[2007CB935903]
Citation statistics	Cited Times:5[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/5072
Collection	SCI期刊论文
Corresponding Author	Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation GB/T 7714	Huang, Haiping,Zhou, Haijun,Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China. Learning by random walks in the weight space of the Ising perceptron[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2010(75):-.
APA	Huang, Haiping,Zhou, Haijun,&Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.(2010).Learning by random walks in the weight space of the Ising perceptron.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(75),-.
MLA	Huang, Haiping,et al."Learning by random walks in the weight space of the Ising perceptron".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .75(2010):-.

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