Knowledge Management System of Institute of Theoretical Physics, CAS
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 | 75Pages:- |
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 | |
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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