The random energy model in a magnetic field and joint source–channel coding
Physica A: Statistical Mechanics and its Applications, ISSN: 0378-4371, Vol: 387, Issue: 22, Page: 5662-5674
2008
- 4Citations
- 6Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
We demonstrate that there is an intimate relationship between the magnetic properties of Derrida’s random energy model (REM) of spin glasses and the problem of joint source–channel coding in Information Theory. In particular, typical patterns of erroneously decoded messages in the coding problem have “magnetization” properties that are analogous to those of the REM in certain phases, where the non-uniformity of the distribution of the source in the coding problem plays the role of an external magnetic field applied to the REM. We also relate the ensemble performance (random coding exponents) of joint source–channel codes to the free energy of the REM in its different phases.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0378437108004883; http://dx.doi.org/10.1016/j.physa.2008.05.040; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=47649121727&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0378437108004883; https://dx.doi.org/10.1016/j.physa.2008.05.040
Elsevier BV
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