Cavity approach to the Sourlas code system

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	Cavity approach to the Sourlas code system
	Huang, Haiping; Zhou, Haijun; Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
刊名	PHYSICAL REVIEW E
	2009
卷号	80 期号:5 页码:-
关键词	Error-correcting Codes Finite-temperature Spin-glass Statistical-mechanics Mathematical-theory Survey Propagation Communication Model
ISSN号	1539-3755
英文摘要	The statistical physics properties of regular and irregular Sourlas codes are investigated in this paper by the cavity method. At finite temperatures, the free-energy density of these coding systems is derived and compared with the result obtained by the replica method. In the zero-temperature limit, the Shannon's bound is recovered in the case of infinite-body interactions while the code rate is still finite. However, the decoding performance as obtained by the replica theory has not considered the zero-temperature entropic effect. The cavity approach is able to consider the ground-state entropy. It leads to a set of evanescent cavity fields propagation equations which further improve the decoding performance as confirmed by our numerical simulations on single instances. For the irregular Sourlas code, we find that it takes the trade-off between good dynamical property and high performance of decoding. In agreement with the results found from the algorithmic point of view, the decoding exhibits a first-order phase transition as occurs in the regular code system with three-body interactions. The cavity approach for the Sourlas code system can be extended to consider first-step replica symmetry breaking.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000272309700020
公开日期	2012-08-02
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/5217]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Haiping,Zhou, Haijun,Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China. Cavity approach to the Sourlas code system[J]. PHYSICAL REVIEW E,2009,80(5):-.
APA	Huang, Haiping,Zhou, Haijun,&Huang, HP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China.(2009).Cavity approach to the Sourlas code system.PHYSICAL REVIEW E,80(5),-.
MLA	Huang, Haiping,et al."Cavity approach to the Sourlas code system".PHYSICAL REVIEW E 80.5(2009):-.