Lossy data compression with random gates

Physical Review Letters

Volumn 95, Issue 3, 2005, Pages

  Ciliberti, Stefano ^a   Mé, Marc ^a   Zecchina, Riccardo ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ENCODING (SYMBOLS); LINEAR SYSTEMS; LOGIC GATES; NETWORK PROTOCOLS; PROBLEM SOLVING; RANDOM ACCESS STORAGE;

CONSTRAINT SATISFACTION PROBLEMS; RANDOM GATES; STANDARD PARITY-CHECK GATES; SURVEY INSPIRED DECIMATION ALGORITHM;

DATA COMPRESSION;

EID: 27144515869     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.038701     Document Type: Article

References (27)

1. Special Issue, edited by, O. Dubois, R. Monasson, B. Selman, and, R. Zecchina, [Theor. Comput. Sci. TCSCDI 0304-3975 265, 1 (2001)]. 10.1016/S0304-3975(01)00133-5
2. M. Mézard, G. Parisi, and M.A. Virasoro, (World Scientific, Singapore, 1987);
3. Spin Glasses and Random Fields, edited by, A.P. Young, (World Scientific, Singapore, 1998).
4. C.H. Papadimitriou, Computational Complexity (Addison-Wesley, Reading, MA, 1994).
5. R.C. Gallager, Information Theory and Reliable Communication (Wiley, New York, 1968).
6. M. Mézard, Science SCIEAS 0036-8075 301, 1685 (2003). 10.1126/science.1086309
7. R. Monasson, Nature (London) NATUAS 0028-0836 400, 133 (1999); 10.1038/22055
8. G. Biroli, R. Monasson, and M. Weigt, Eur. Phys. J. B EPJBFY 1434-6028 14, 551 (2000); 10.1007/s100510051065
9. M. Mézard, G. Parisi, and R. Zecchina, Science SCIEAS 0036-8075 297, 812 (2002). 10.1126/science.1073287
10. M. Mézard and R. Zecchina, Phys. Rev. E 66, 056126 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.056126
11. M. Mézard, F. Ricci-Tersenghi, and R. Zecchina, J. Stat. Phys. 111, 505 (2003). JSTPSB 0022-4715 10.1023/A:1022886412117
12. A. Montanari and F. Ricci-Tersenghi, Eur. Phys. J. B 33, 339 (2003). EPJBFY 1434-6028 10.1140/epjb/e2003-00174-7
13. S. Cocco, O. Dubois, J. Mandler, and R. Monasson, Phys. Rev. Lett. 90, 047205 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.047205
14. M. Mézard, T. Mora, and R. Zecchina, Phys. Rev. Lett. 94, 197205 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.197205
15. T. Berger and J.D. Gibson, IEEE Trans. Inf. Theory IETTAW 0018-9448 44, 2693 (1998). 10.1109/18.720552
16. G. Caire, S. Shamai, and S. Verdú, in Proceedings of IEEE Information Theory Workshop, Paris, 2003 (IEEE, New York, 2003), p.291;
17. Y. Matsunaga and H. Yamamoto, in Proceedings of IEEE International Symposium on Information Theory, Lausanne, 2002 (IEEE, New York, 2002), Vol. 461.
18. C.E. Shannon, IRE Natl. Conv. Record IRNCA8 0097-6318 4, 142 (1959).
19. R.E. Blahut, IEEE Trans. Inf. Theory IETTAW 0018-9448 18, 460 (1972). 10.1109/TIT.1972.1054855
20. D.A. Huffman, Proc. of IRE PIREAE 0096-8390 40, 1098 (1952);
21. J. Ziv, A. Lempel, IEEE Trans. Inf. Theory IETTAW 0018-9448 23, 337 (1977). 10.1109/TIT.1977.1055714
22. T. Hosaka, Y. Kabashima, and H. Nishimori, Phys. Rev. E 66, 066126 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.066126
23. E. Martinian and J.S. Yedidia, MERL, Report No.TR2003-120 2003.
24. T.J. Schaefer, in Proceedings of the 10th Annual ACM Symposium on Theory of Computing, San Diego (ACM, New York, 1978), pp 216â€"226.
25. S. Ciliberti and M. Mézard (to be published).
26. F.R. Kschischang, B.J. Frey, and H.A. Loeliger, IEEE Trans. Inf. Theory IETTAW 0018-9448 47, 498 (2001). 10.1109/18.910572
27. D. Battaglia, M. Kolár, and R. Zecchina, Phys. Rev. E 70, 036107 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.036107