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题名: Counting solutions from finite samplings
作者: Huang, HP ;  Zhou, HJ
刊名: PHYSICAL REVIEW E
出版日期: 2012
卷号: 85, 期号:2, 页码:26118
关键词: NEURAL POPULATION ;  CORTICAL NETWORKS ;  ENTROPY ;  COUPLINGS ;  STATES
学科分类: Physics
通讯作者: Huang, HP (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Huang, Haiping; Zhou, Haijun] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China; [Huang, Haiping] Hong Kong Univ Sci & Technol, Dept Phys, Hong Kong, Hong Kong, Peoples R China
英文摘要: We formulate the solution counting problem within the framework of the inverse Ising problem and use fast belief propagation equations to estimate the entropy whose value provides an estimate of the true one. We test this idea on both diluted models [random 2-SAT (2-satisfiability) and 3-SAT problems] and a fully connected model (binary perceptron), and show that when the constraint density is small, this estimate can be very close to the true value. The information stored by the salamander retina under the natural movie stimuli can also be estimated, and our result is consistent with that obtained by the Monte Carlo method. Of particular significance is that the sizes of other metastable states for this real neuronal network are predicted.
资助者: NSFC [10834014]; 973-Program [2007CB935903]; Research Grants Council of Hong Kong [HKUST 605010]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000300940100001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15156
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Huang, HP,Zhou, HJ. Counting solutions from finite samplings[J]. PHYSICAL REVIEW E,2012,85(2):26118.
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