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Phase transitions of subset sum and Shannon's limit in source coding

Author

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  • Sasamoto, Tomohiro

Abstract

We consider statistical properties of an NP-complete problem, the subset sum, using the methods and concepts of statistical mechanics. After introducing the statistical mechanical treatment of the problem, the phase transition behaviors are discussed. We also introduce a source coding scheme which is based on the idea of the subset sum. It is shown that the phase transitions in the subset sum is related to Shannon's limit for source coding.

Suggested Citation

  • Sasamoto, Tomohiro, 2003. "Phase transitions of subset sum and Shannon's limit in source coding," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 369-374.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:1:p:369-374
    DOI: 10.1016/S0378-4371(03)00024-4
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