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Source coding by efficient selection of ground states clusters

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arxiv cond-mat/0412652 v1 pith:AVEUS4DL submitted 2004-12-23 cond-mat.dis-nn cond-mat.stat-mech

Source coding by efficient selection of ground states clusters

classification cond-mat.dis-nn cond-mat.stat-mech
keywords statesgroundspaceusedaddressaddressablealgorithmbreaking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this letter, we show how the Survey Propagation algorithm can be generalized to include external forcing messages, and used to address selectively an exponential number of glassy ground states. These capabilities can be used to explore efficiently the space of solutions of random NP-complete constraint satisfaction problems, providing a direct experimental evidence of replica symmetry breaking in large-size instances. Finally, a new lossy data compression protocol is introduced, exploiting as a computational resource the clustered nature of the space of addressable states.

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