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optimization
Zecchina R
.
Statistical physics, optimization and source coding
. Pramana. 2005;64:1161-73.
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Braunstein A
,
Zecchina R
.
Survey Propagation as local equilibrium equations
. Journal of Statistical Mechanics: Theory and Experiment. 2004;6:P06007.
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Bayati M
,
Borgs C
,
Chayes J
,
Zecchina R
.
Belief-Propagation for Weighted b-Matchings on Arbitrary Graphs and its Relation to Linear Programs with Integer Solutions
. eprint arXiv: 0709.1190. 2007.
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Altarelli F
,
Braunstein A
,
Ramezanpour A
,
Zecchina R
.
Stochastic optimization by message passing
. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. 2011;2011.
Abstract
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Monasson R
,
Zecchina R
,
Kirkpatrick S
,
Selman B
,
Troyansky L
.
Computational complexity from characteristic phase transitions
. Nature. 1999;400:133.
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Mézard M
,
Ricci-Tersenghi F
,
Zecchina R
.
Two solutions to diluted p-spin models and XORSAT problems
. J. Stat. Phys.. 2002;111:505.
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Baldassi C
,
Braunstein A
,
Brunel N
,
Zecchina R
.
Efficient supervised learning in networks with binary synapses
. Proceedings of the National Academy of Sciences. 2007;104:11079-84.
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Dall'Asta L
,
Ramezanpour A
,
Zecchina R
.
Entropy landscape and non-Gibbs solutions in constraint satisfaction problems
. Physical Review E. 2008;77:31118.
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Bayati M
,
Borgs C
,
Braunstein A
,
Chayes J
,
Ramezanpour A
,
Zecchina R
.
Statistical Mechanics of Steiner Trees
. Physical Review Letters. 2008;101:37208.
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Download:
prl-steiner.pdf
(210.2 KB)
Braunstein A
,
Zecchina R
.
Survey and belief propagation on random k-sat
. Lecture Notes in Computer Science. 2004;2919:519-28.
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Bayati M
,
Borgs C
,
Chayes J
,
Zecchina R
.
On the exactness of the cavity method for weighted b-matchings on arbitrary graphs and its relation to linear programs
. Journal of Statistical Mechanics: Theory and Experiment. 2008;2008:L06001.
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Bailly-Bechet M
,
Braunstein A
,
Zecchina R
.
A Prize-Collecting Steiner Tree Approach for Transduction Network Inference
. In: Proceedings of the 7th International Conference on Computational Methods in Systems Biology. Springer; 2009. 95.
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Ramezanpour A
,
Vaez Allaei SM
.
Elastic properties of small-world spring networks
. Physical Review E. 2005;72:66115.
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Mulet R
,
Pagnani A
,
Weigt M
,
Zecchina R
.
Coloring Random Graphs
. Physical Review Letters. 2002;89:268701.
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Chavas J
,
Furtlehner C
,
Mézard M
,
Zecchina R
.
Survey-propagation decimation through distributed local computations
. J. Stat. Mech.. 2005:P11016.
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Ramezanpour A
,
Moghimi-Araghi S
.
Spanning trees in random satisfiability problems
. Journal of Physics A: Mathematical and General. 2006;39:4901-9.
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Montanari A
,
Zecchina R
.
Optimizing Searches via Rare Events
. Physical Review Letters. 2002;88:178701.
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Braunstein A
,
Mézard M
,
Weigt M
,
Zecchina R
.
Constraint satisfaction by survey propagation
. In:
Percus A
,
Istrate G
,
Moore C
, editors. Advances in Neural Information Processing Systems. Vol 9. Oxford University Press; 2005. 424. (Computational Complexity and Statistical Physics; vol 9).
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Battaglia D
,
Kolar M
,
Zecchina R
.
From Statistical Methods to Algorithms
. Int. J. Mod. Phys. B. 2006;20:2814-23.
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Zhang P
,
Zeng Y
,
Zhou H
.
Stability analysis on the finite-temperature replica-symmetric and first-step replica-symmetry-broken cavity solutions of the random vertex cover problem
. Phys. Rev. E. 2009;80:021122.
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Ramezanpour A
,
Moghimi-Araghi S
.
Biased random satisfiability problems: From easy to hard instances
. Physical Review E. 2005;71:66101.
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Mora T
,
Mézard M
,
Zecchina R
.
Pairs of SAT Assignments and Clustering in Random Boolean Formulae
. Theoretical Computer Science. 2008;393:260-79.
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Braunstein A
,
Zecchina R
.
Learning by message-passing in networks of discrete synapses
. Phys. Rev. Lett.. 2006;96:030201.
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Download:
prl-synapses.pdf
(233.04 KB)
Ramezanpour A
,
Moghimi-Araghi S
.
Simplifying random satisfiability problems by removing frustrating interactions
. Physical Review E. 2006;74:41105.
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Mézard M
,
Ricci-Tersenghi F
,
Zecchina R
.
Two Solutions to Diluted p-Spin Models and XORSAT Problems
. Journal of Statistical Physics. 2003;111:505-33.
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