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Reconstructing the Hopfield network as an inverse Ising problem
Huang, Haiping; Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
2010
发表期刊PHYSICAL REVIEW E
ISSN1539-3755
卷号81期号:3页码:-
摘要We 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.
部门归属Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
关键词Neural-networks Boltzmann Machines Model Patterns
学科领域Physics
资助者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] ; National Science Foundation of China[10774150]; National Basic Research Program (973-Program) of China[2007CB935903]
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资助者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] ; National Science Foundation of China[10774150]; National Basic Research Program (973-Program) of China[2007CB935903]
WOS记录号WOS:000276199400011
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被引频次:7[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5158
专题理论物理所1978-2010年知识产出
通讯作者Huang, HP , Chinese Acad Sci, Key Lab Frontiers Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
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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[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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