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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
Source PublicationPHYSICAL REVIEW E
KeywordNeural-networks Statistical Physics Cortical Networks Primate Retina Glass Models Patterns Connectivity Population States
AbstractThe 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.
2010
ISSN1539-3755
Volume82Issue:5Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational 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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Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5008
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHuang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
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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