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Huang, Haiping; Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
Reconstructing the Hopfield network as an inverse Ising problem
Source PublicationPHYSICAL REVIEW E
KeywordNeural-networks Boltzmann Machines Model Patterns
AbstractWe test four fast mean-field-type algorithms on Hopfield networks as an inverse Ising problem. The equilibrium behavior of Hopfield networks is simulated through Glauber dynamics. In the low-temperature regime, the simulated annealing technique is adopted. Although performances of these network reconstruction algorithms on the simulated network of spiking neurons are extensively studied recently, the analysis of Hopfield networks is lacking so far. For the Hopfield network, we found that, in the retrieval phase favored when the network wants to memory one of stored patterns, all the reconstruction algorithms fail to extract interactions within a desired accuracy, and the same failure occurs in the spin-glass phase where spurious minima show up, while in the paramagnetic phase, albeit unfavored during the retrieval dynamics, the algorithms work well to reconstruct the network itself. This implies that, as an inverse problem, the paramagnetic phase is conversely useful for reconstructing the network while the retrieval phase loses all the information about interactions in the network except for the case where only one pattern is stored. The performances of algorithms are studied with respect to the system size, memory load, and temperature; sample-to-sample fluctuations are also considered.
2010
ISSN1539-3755
Volume81Issue:3Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Science Foundation of China[10774150]; National Basic Research Program (973-Program) of China[2007CB935903] ; National Science Foundation of China[10774150]; National Basic Research Program (973-Program) of China[2007CB935903] ; National Science Foundation of China[10774150]; National Basic Research Program (973-Program) of China[2007CB935903] ; National Science Foundation of China[10774150]; National Basic Research Program (973-Program) of China[2007CB935903]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5158
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHuang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Haiping,Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China. Reconstructing the Hopfield network as an inverse Ising problem[J]. PHYSICAL REVIEW E,2010,81(3):-.
APA Huang, Haiping,&Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.(2010).Reconstructing the Hopfield network as an inverse Ising problem.PHYSICAL REVIEW E,81(3),-.
MLA Huang, Haiping,et al."Reconstructing the Hopfield network as an inverse Ising problem".PHYSICAL REVIEW E 81.3(2010):-.
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