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Message passing algorithms for the Hopfield network reconstruction: Threshold behavior and limitation
Huang, Haiping; Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
2010
发表期刊PHYSICAL REVIEW E
ISSN1539-3755
卷号82期号:5页码:-
摘要The Hopfield network is reconstructed as an inverse Ising problem by passing messages. The applied susceptibility propagation algorithm is shown to improve significantly on other mean-field-type methods and extends well into the low-temperature region. However, this iterative algorithm is limited by the nature of the supplied data. Its performance deteriorates as the data become highly magnetized, and this method finally fails in the presence of the frozen type data where at least two of its magnetizations are equal to 1 in absolute value. On the other hand, a threshold behavior is observed for the susceptibility propagation algorithm and the transition from good reconstruction to poor one becomes sharper as the network size increases.
部门归属Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
关键词Neural-networks Statistical Physics Cortical Networks Primate Retina Glass Models Patterns Connectivity Population States
学科领域Physics
资助者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] ; 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]
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收录类别SCI
资助者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] ; 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]
WOS记录号WOS:000284207900001
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5008
专题理论物理所SCI论文
通讯作者Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
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Huang, Haiping,Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China. Message passing algorithms for the Hopfield network reconstruction: Threshold behavior and limitation[J]. PHYSICAL REVIEW E,2010,82(5):-.
APA Huang, Haiping,&Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China.(2010).Message passing algorithms for the Hopfield network reconstruction: Threshold behavior and limitation.PHYSICAL REVIEW E,82(5),-.
MLA Huang, Haiping,et al."Message passing algorithms for the Hopfield network reconstruction: Threshold behavior and limitation".PHYSICAL REVIEW E 82.5(2010):-.
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