The Generalized Random Energy Model and its Application to the Statistical Physics of Ensembles of Hierarchical Codes
暂无分享,去创建一个
[1] Andrea Montanari,et al. Two Lectures on Iterative Coding and Statistical Mechanics , 2005 .
[2] T. C. Dorlas,et al. PHASE DIAGRAM OF THE RANDOM ENERGY MODEL WITH HIGHER-ORDER FERROMAGNETIC TERM AND ERROR CORRECTING CODES DUE TO SOURLAS , 1999 .
[3] Yoshiyuki Kabashima,et al. Statistical Mechanical Approach to Error Exponents of Lossy Data Compression , 2003 .
[4] Thierry Mora,et al. Statistical mechanics of error exponents for error-correcting codes , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[5] Robert G. Gallager,et al. The random coding bound is tight for the average code (Corresp.) , 1973, IEEE Trans. Inf. Theory.
[6] Thomas M. Cover,et al. Elements of information theory (2. ed.) , 2006 .
[7] Bernard Derrida,et al. Solution of the generalised random energy model , 1986 .
[8] D. B. Saakian. Diluted generalized random energy model , 1998 .
[9] K. Adkins. Theory of spin glasses , 1974 .
[10] Andrew J. Viterbi,et al. Principles of Digital Communication and Coding , 1979 .
[11] D. Saad,et al. Error-correcting codes that nearly saturate Shannon's bound , 1999, cond-mat/9906011.
[12] Neri Merhav,et al. Relations Between Random Coding Exponents and the Statistical Physics of Random Codes , 2007, IEEE Transactions on Information Theory.
[13] Ruján. Finite temperature error-correcting codes. , 1993, Physical review letters.
[14] B. Derrida. Random-Energy Model: Limit of a Family of Disordered Models , 1980 .
[15] Aaron D. Wyner,et al. The rate-distortion function for source coding with side information at the decoder , 1976, IEEE Trans. Inf. Theory.
[16] Tatsuto Murayama. Statistical mechanics of the data compression theorem , 2002 .
[17] Andrea Montanari,et al. Modern Coding Theory: The Statistical Mechanics and Computer Science Point of View , 2007, ArXiv.
[18] N. Sourlas. Spin Glasses, Error-Correcting Codes and Finite-Temperature Decoding , 1994 .
[19] B. Derrida. Random-energy model: An exactly solvable model of disordered systems , 1981 .
[20] Yoshiyuki Kabashima,et al. Statistical mechanics of source coding with a fidelity criterion , 2005 .
[21] M. Mézard,et al. Information, Physics, and Computation , 2009 .
[22] W. M. B. Dukes,et al. On The Generalised Random Energy Model , 2001 .
[23] Nicolas Sourlas,et al. Spin-glass models as error-correcting codes , 1989, Nature.
[24] Nicolas Sourlas,et al. Statistical Mechanics and Error-Correcting Codes , 1990 .
[25] Erik Ordentlich,et al. Universal portfolios with side information , 1996, IEEE Trans. Inf. Theory.
[26] Neri Merhav,et al. Error Exponents of Erasure/List Decoding Revisited Via Moments of Distance Enumerators , 2007, IEEE Transactions on Information Theory.
[27] Kohtaro Tadaki,et al. A Statistical Mechanical Interpretation of Instantaneous Codes , 2007, 2007 IEEE International Symposium on Information Theory.
[28] D. Saad,et al. Tighter decoding reliability bound for Gallager's error-correcting code. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.
[29] Andrea Montanari,et al. Tight bounds for LDPC and LDGM codes under MAP decoding , 2004, IEEE Transactions on Information Theory.
[30] Anton Bovier,et al. Derrida's Generalised Random Energy models 1: models with finitely many hierarchies , 2004 .
[31] Bixio Rimoldi,et al. Successive refinement of information: characterization of the achievable rates , 1994, IEEE Trans. Inf. Theory.
[32] A. D. Wyner,et al. The wire-tap channel , 1975, The Bell System Technical Journal.
[33] S. Franz,et al. Dynamic phase transition for decoding algorithms. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[34] Bernard Derrida,et al. Magnetic properties and the function q(x) of the generalised random-energy model , 1986 .
[35] William Equitz,et al. Successive refinement of information , 1991, IEEE Trans. Inf. Theory.
[36] B. Derrida. A generalization of the Random Energy Model which includes correlations between energies , 1985 .
[37] S. Kirkpatrick,et al. Solvable Model of a Spin-Glass , 1975 .
[38] J. Nadal,et al. From statistical physics to statistical inference and back , 1994 .
[39] Bernard Derrida,et al. The probability distribution of the partition function of the random energy model , 1989 .
[40] Giorgio Parisi,et al. Crossover behavior of a one-dimensional random energy model , 1998 .
[41] Nabin Kumar Jana. Exponential Random Energy Model , 2006 .
[42] E. Bolthausen,et al. The Random Energy Model , 2002 .
[43] B Derridai. Magnetic properties and the function q ( x ) of the generalised random-energy model , .
[44] D. A. Bell,et al. Information Theory and Reliable Communication , 1969 .
[45] Thomas M. Cover,et al. Elements of Information Theory , 2005 .
[46] D. Saad,et al. Statistical mechanics of error-correcting codes , 1999 .
[47] A. Montanari. The glassy phase of Gallager codes , 2001, cond-mat/0104079.
[48] B. Scoppola,et al. Statistical Mechanics Approach to Coding Theory , 1999 .