Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 39, 2022 No. 5
1432-1436

Convergence analysis of survey propagation algorithm based on K-dimensional structure entropy

Liang Chena
Wang Xiaofenga,b
Liu Zilina
Lu Leia
Niu Pengfeia
a. School of Computer Science & Engineering, b. Key Laboratory of Images & Graphics Intelligent Processing of State Ethnic Affairs Commission, North Minzu University, Yinchuan 750021, China
DOI: 10.19734/j.issn.1001-3695.2021.10.0474

Abstract

Survey propagation(SP) algorithm is the most effective information propagation algorithm. However, the algorithm does not often converge when it encounters factor graphs of complex structures. In order to explain this phenomenon theoretically, based on the theory of K-dimension structure entropy, and with the help of factor graph transformation technology and Leuven algorithm to divide factor graph community, this paper proposed the K-dimension structure entropy measurement model of propositional formula, and obtained the K-dimension structure entropy of random satisfiability instance. This paper analyzed the relation between the convergence of SP algorithm and K-dimension structure entropy, and gave the threshold of K-dimension structure entropy for SP algorithm convergence. The experimental results show that the method is effective.

Foundation Support

国家自然科学基金资助项目(62062001,61762019,61862051,61962002)
北方民族大学重大专项资助项目(ZDZX201901)
宁夏自然科学基金资助项目(2020AAC03214,2020AAC03219,2019AAC03120,2019AAC03119)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2021.10.0474
Publish at: Application Research of Computers Printed Article, Vol. 39, 2022 No. 5
Section: Algorithm Research & Explore
Pages: 1432-1436
Serial Number: 1001-3695(2022)05-024-1432-05

Publish History

[2022-01-06] Accepted Paper
[2022-05-05] Printed Article

Cite This Article

梁晨, 王晓峰, 刘子琳, 等. 基于K维结构熵的调查传播算法收敛性分析 [J]. 计算机应用研究, 2022, 39 (5): 1432-1436. (Liang Chen, Wang Xiaofeng, Liu Zilin, et al. Convergence analysis of survey propagation algorithm based on K-dimensional structure entropy [J]. Application Research of Computers, 2022, 39 (5): 1432-1436. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

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