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IEICE Transactions on Information and Systems 2008 E91-D(2):231-233; doi:10.1093/ietisy/e91-d.2.231
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Copyright © 2008 The Institute of Electronics, Information and Communication Engineers

Special Section on Foundations of Computer Science -- Letters -- Algorithm Theory

Survey Propagation as "Probabilistic Token Passing"

Ronghui TU1, Yongyi MAO1 and Jiying ZHAO1

1 The authors are with the School of Information Technology and Engineering, University of Ottawa, 800 King Edward Ave., Ottawa, Ontario, Canada K1N 6N5. E-mail: rtu{at}site.uottawa.ca; yymao{at}site.uottawa.ca; jyzhao{at}site.uottawa.ca

In this paper, we present a clean and simple formulation of survey propagation (SP) for constraint-satisfaction problems as "probabilistic token passing". The result shows the importance of extending variable alphabets to their power sets in designing SP algorithms.

Key Words: constraint-satisfaction problem, survey propagation, graph coloring, message-passing


Manuscript received March 6, 2007.

Reference

[1] M. Mézard, G. Parisi, and R. Zecchina, "Analytic and algorithmic solution of random satisfiability problems," Science, no.297, pp.812–815, 2002.

[2] A. Braunstein, R. Mulet, A. Pagnani, M. Weigt, and R. Zecchina, "Polynomial iterative algorithms for coloring and analyzing random graphs," Phys. Rev. E, vol.68, no.3, 036702, 2003.

[3] M.J. Wainwright and E. Maneva,"Lossy source encoding via message-passing and decimation over generalized codewords of LDGM codes," Proc. IEEE Int. Symp. Inform. Theory, pp.1493–1497, Adelaide, Australia, 2005.

[4] W. Yu and M. Aleksic, "Coding for the blackwell channel: A survey propagation approach," Proc. IEEE Int. Symp. Inform. Theory, pp.1583–1587, Adelaide, Australia, 2005.

[5] A. Brauntein, M. Mézard, M. Weight, and R. Zecchina, "Constraint satisfaction by survey propagation," in Computational Complexity and Statistical Physics, ed. A. Percus, G. Istrate, and C. Moore, pp.107–124, Oxford University Press, 2003.

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[8] R. Tu, Y. Mao, and J. Zhao, "On generalized survey propagation: Normal realization and sum-product interpretation," Proc. IEEE Int. Symp. Inform. Theory, pp.2042–2046, 2006.

[9] F.R. Kschischang, B.J. Frey, and H.-A. Loeliger, "Factor graphs and the sum-product algorithm," IEEE Trans. Inf. Theory, vol.47, no.2, pp.498–519, 2001.


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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
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Right arrow Email this article to a friend
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Right arrow Articles by TU, R.
Right arrow Articles by ZHAO, J.
Right arrow Search for Related Content
Social Bookmarking
 Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?