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Volumn 56, Issue 3, 2010, Pages 1351-1368

Lossy source compression using low-density generator matrix codes: Analysis and algorithms

Author keywords

Belief propagation; Graphical codes, low density generator matrix (LDGM) codes; Lossy source coding; MAX XORSAT; Message passing; Satisfiability problems; Sum product; Survey propagation

Indexed keywords

BELIEF PROPAGATION; LOSSY SOURCE CODING; LOW-DENSITY GENERATOR MATRIX CODES; SATISFIABILITY PROBLEMS; SUM PRODUCT; SURVEY PROPAGATION;

EID: 77949529481     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2009.2039160     Document Type: Article
Times cited : (67)

References (48)
  • 1
    • 10044239059 scopus 로고    scopus 로고
    • The threshold for random k-SAT is 2klog2 - O(k)
    • D. Achlioptas and Y. Peres, "The threshold for random k-SAT is 2klog2 - o(k)," J. AMS, vol.17, pp. 947-973, 2004.
    • (2004) J. AMS , vol.17 , pp. 947-973
    • Achlioptas, D.1    Peres, Y.2
  • 3
    • 0030257652 scopus 로고    scopus 로고
    • Near optimum error correcting coding and decoding: Turbo codes
    • Oct.
    • C. Berroux and A. Glavieux, "Near optimum error correcting coding and decoding: Turbo codes," IEEE Trans. Commun., vol.44, pp. 1261-1271, Oct. 1996.
    • (1996) IEEE Trans. Commun. , vol.44 , pp. 1261-1271
    • Berroux, C.1    Glavieux, A.2
  • 5
    • 0035248618 scopus 로고    scopus 로고
    • On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit
    • Feb.
    • S.-Y. Chung, G. D. Forney, T. Richardson, and R. Urbanke, "On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit," IEEE Commun. Lett., vol.5, no.2, pp. 58-60, Feb. 2001.
    • (2001) IEEE Commun. Lett. , vol.5 , Issue.2 , pp. 58-60
    • Chung, S.-Y.1    Forney, G.D.2    Richardson, T.3    Urbanke, R.4
  • 6
    • 33846157968 scopus 로고    scopus 로고
    • The theoretical capacity of the parity source coder
    • S. Ciliberti and M. Mézard, "The theoretical capacity of the parity source coder," J. Stat. Mechan., p. P10003, 2006.
    • (2006) J. Stat. Mechan.
    • Ciliberti, S.1    Mézard, M.2
  • 7
    • 33748184205 scopus 로고    scopus 로고
    • Message-passing algorithms for non-linear nodes and data compression
    • S. Ciliberti, M. Mézard, and R. Zecchina, "Message-passing algorithms for non-linear nodes and data compression," Complexus, vol.3, p. 58, 2006.
    • (2006) Complexus , vol.3 , pp. 58
    • Ciliberti, S.1    Mézard, M.2    Zecchina, R.3
  • 8
    • 3543003164 scopus 로고    scopus 로고
    • Rigorous decimation- based construction of ground pure states for spin-glass models on random lattices
    • Jan.
    • S. Cocco, O. Dubois, J. Mandler, and R. Monasson, "Rigorous decimation- based construction of ground pure states for spin-glass models on random lattices," Phys. Rev. Lett., vol.90, no.4, Jan. 2003.
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.4
    • Cocco, S.1    Dubois, O.2    Mandler, J.3    Monasson, R.4
  • 10
    • 0038334103 scopus 로고    scopus 로고
    • Approximating the satisfiability threshold of random XOR formulas
    • N. Creignou, H. Daudé, and O. Dubois, "Approximating the satisfiability threshold of random XOR formulas," Combin., Probab. Comput., vol.12, pp. 113-126, 2003.
    • (2003) Combin., Probab. Comput. , vol.12 , pp. 113-126
    • Creignou, N.1    Daudé, H.2    Dubois, O.3
  • 13
    • 15044355718 scopus 로고    scopus 로고
    • Using linear programming to decode binary linear codes
    • Mar.
    • J. Feldman, M. J. Wainwright, and D. R. Karger, "Using linear programming to decode binary linear codes," IEEE Trans. Inf. Theory, vol.51, pp. 954-972, Mar. 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 954-972
    • Feldman, J.1    Wainwright, M.J.2    Karger, D.R.3
  • 15
    • 84940671644 scopus 로고    scopus 로고
    • Binary quantization using belief propagation with decimation over factor graphs of LDGM codes
    • Sept.
    • T. Filler and J. Fridrich, "Binary quantization using belief propagation with decimation over factor graphs of LDGM codes," in Proc. Allerton Conf. Commun. Contr. Computing, Sept. 2007.
    • (2007) Proc. Allerton Conf. Commun. Contr. Computing
    • Filler, T.1    Fridrich, J.2
  • 16
    • 34548216307 scopus 로고    scopus 로고
    • Practical methods for minimizing embedding impact in steganography
    • Jan.
    • J. Fridrich and T. Filler, "Practical methods for minimizing embedding impact in steganography," in Proc. SPIE Electron. Imag., Jan. 2007, vol.66, pp. 1-15.
    • (2007) Proc. SPIE Electron. Imag. , vol.66 , pp. 1-15
    • Fridrich, J.1    Filler, T.2
  • 18
    • 0036747603 scopus 로고    scopus 로고
    • Compression of binary memoryless sources using punctured turbo codes
    • Sept.
    • J. Garcia-Frias and Y. Zhao, "Compression of binary memoryless sources using punctured turbo codes," IEEE Commun. Lett., vol.6, no.9, pp. 394-396, Sept. 2002.
    • (2002) IEEE Commun. Lett. , vol.6 , Issue.9 , pp. 394-396
    • Garcia-Frias, J.1    Zhao, Y.2
  • 21
    • 77949520049 scopus 로고    scopus 로고
    • Nonlinear sparse graph codes for lossy compression
    • Lake Tahoe, NV
    • A. Gupta and S. Verdu, "Nonlinear sparse graph codes for lossy compression," in Proc. Int. Symp. Inf. Theory Workshop, Lake Tahoe, NV, 2007.
    • (2007) Proc. Int. Symp. Inf. Theory Workshop
    • Gupta, A.1    Verdu, S.2
  • 23
    • 0035246564 scopus 로고    scopus 로고
    • Factor graphs and the sum-product algorithm
    • Feb.
    • F. R. Kschischang, B. J. Frey, and H.-A. Loeliger, "Factor graphs and the sum-product algorithm," IEEE Trans. Inf. Theory, vol.47, no.2, pp. 498-519, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.2 , pp. 498-519
    • Kschischang, F.R.1    Frey, B.J.2    Loeliger, H.-A.3
  • 25
    • 85032780651 scopus 로고    scopus 로고
    • An introduction to factor graphs
    • H. A. Loeliger, "An introduction to factor graphs," IEEE Signal Processing Mag., vol.21, pp. 28-41, 2004.
    • (2004) IEEE Signal Processing Mag , vol.21 , pp. 28-41
    • Loeliger, H.A.1
  • 27
    • 34547738667 scopus 로고    scopus 로고
    • A new look at survey propagation and its generalizations
    • E. Maneva, E. Mossel, and M. J. Wainwright, "A new look at survey propagation and its generalizations," J. ACM, vol.54, no.4, pp. 2-41, 2007.
    • (2007) J. ACM , vol.54 , Issue.4 , pp. 2-41
    • Maneva, E.1    Mossel, E.2    Wainwright, M.J.3
  • 28
    • 0025218172 scopus 로고
    • Trellis coded quantization of memoryless and Gauss-Markov sources
    • M. W. Marcellin and T. R. Fischer, "Trellis coded quantization of memoryless and Gauss-Markov sources," IEEE Trans. Commun., vol.38, no.1, pp. 82-93, 1990.
    • (1990) IEEE Trans. Commun. , vol.38 , Issue.1 , pp. 82-93
    • Marcellin, M.W.1    Fischer, T.R.2
  • 29
    • 36249023551 scopus 로고    scopus 로고
    • Analysis of LDGM and compound codes for lossy compression and binning
    • Feb. Available at arxiv:cs.IT/0602046
    • E. Martinian and M. J. Wainwright, "Analysis of LDGM and compound codes for lossy compression and binning," in Proc. Workshop Inf. Theory Applicat. (ITA), Feb. 2006, pp. 229-233, Available at arxiv:cs.IT/0602046.
    • (2006) Proc. Workshop Inf. Theory Applicat. (ITA) , pp. 229-233
    • Martinian, E.1    Wainwright, M.J.2
  • 30
    • 65749088057 scopus 로고    scopus 로고
    • Low density codes achieve the rate-distortion bound
    • Mar. Available at arxiv:cs.IT/061123
    • E. Martinian and M. J. Wainwright, "Low density codes achieve the rate-distortion bound," in Proc. Data Compress. Conf., Mar. 2006, vol.1, pp. 153-162, Available at arxiv:cs.IT/061123.
    • (2006) Proc. Data Compress. Conf. , vol.1 , pp. 153-162
    • Martinian, E.1    Wainwright, M.J.2
  • 31
    • 36248951499 scopus 로고    scopus 로고
    • Low density codes can achieve the Wyner-Ziv and Gelfand-Pinsker bounds
    • July, Available at arxiv:cs.IT/0605091
    • E. Martinian and M. J. Wainwright, "Low density codes can achieve the Wyner-Ziv and Gelfand-Pinsker bounds," in Proc. Int. Symp. Inf. Theory, July 2006, pp. 484-488, Available at arxiv:cs.IT/0605091.
    • (2006) Proc. Int. Symp. Inf. Theory , pp. 484-488
    • Martinian, E.1    Wainwright, M.J.2
  • 33
    • 0042781671 scopus 로고    scopus 로고
    • A coding theorem for lossy data compression by LDPC codes
    • Y. Matsunaga and H. Yamamoto, "A coding theorem for lossy data compression by LDPC codes," IEEE Trans. Inf. Theory, vol.49, pp. 2225-2229, 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , pp. 2225-2229
    • Matsunaga, Y.1    Yamamoto, H.2
  • 34
    • 0037008520 scopus 로고    scopus 로고
    • Analytic and algorithmic solution of random satisfiability problems
    • M. Mézard, G. Parisi, and R. Zecchina, "Analytic and algorithmic solution of random satisfiability problems," Science, 2002.
    • (2002) Science
    • Mézard, M.1    Parisi, G.2    Zecchina, R.3
  • 35
    • 0242565431 scopus 로고    scopus 로고
    • Alternative solutions to diluted p-spin models and XORSAT problems
    • M. Mézard, F. Ricci-Tersenghi, and R. Zecchina, "Alternative solutions to diluted p-spin models and XORSAT problems," J. Statist. Phys., vol.111, no.105, 2002.
    • (2002) J. Statist. Phys. , vol.111 , Issue.105
    • Mézard, M.1    Ricci-Tersenghi, F.2    Zecchina, R.3
  • 36
    • 37649031218 scopus 로고    scopus 로고
    • Random k-satisfiability: From an analytic solution to an efficient algorithm
    • 056126
    • M. Mézard and R. Zecchina, "Random k-satisfiability: From an analytic solution to an efficient algorithm," Phys. Rev. E, vol.66, no.056126, 2002.
    • (2002) Phys. Rev. e , vol.66
    • Mézard, M.1    Zecchina, R.2
  • 38
    • 42749098904 scopus 로고    scopus 로고
    • Thouless-Anderson-Palmer approach for lossy compression
    • T. Murayama, "Thouless-Anderson-Palmer approach for lossy compression," Phys. Rev. E, vol.69, pp. 035105(1)-035105(4), 2004.
    • (2004) Phys. Rev. e , vol.69 , pp. 0351051-0351054
    • Murayama, T.1
  • 39
    • 0242509813 scopus 로고    scopus 로고
    • One step RSB} scheme for the rate distortion function
    • T. Murayama and M. Okada, "One step RSB} scheme for the rate distortion function," J. Phys. A: Math. Gen., vol.65, pp. 11123-11130, 2003.
    • (2003) J. Phys. A: Math. Gen. , vol.65 , pp. 11123-11130
    • Murayama, T.1    Okada, M.2
  • 41
    • 0035246127 scopus 로고    scopus 로고
    • Design of capacityapproaching irregular low-density parity check codes
    • Feb.
    • T. Richardson, A. Shokrollahi, and R. Urbanke, "Design of capacityapproaching irregular low-density parity check codes," IEEE Trans. Inf. Theory, vol.47, pp. 619-637, Feb. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , pp. 619-637
    • Richardson, T.1    Shokrollahi, A.2    Urbanke, R.3
  • 44
    • 0019608335 scopus 로고
    • A recursive approach to low complexity codes
    • Sep.
    • R. M. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inf. Theory, vol.IT-27, pp. 533-547, Sep. 1980.
    • (1980) IEEE Trans. Inf. Theory , vol.IT-27 , pp. 533-547
    • Tanner, R.M.1
  • 45
    • 0016058778 scopus 로고
    • Trellis encoding of memoryless discrete- time sources with a fidelity criterion
    • A. J. Viterbi and J. K. Omura, "Trellis encoding of memoryless discrete- time sources with a fidelity criterion," IEEE Trans. Inf. Theory, vol.IT-20, no.3, pp. 325-332, 1974.
    • (1974) IEEE Trans. Inf. Theory , vol.IT-20 , Issue.3 , pp. 325-332
    • Viterbi, A.J.1    Omura, J.K.2
  • 46
    • 33749453642 scopus 로고    scopus 로고
    • Lossy source coding by messagepassing and decimation over generalized codewords of LDGM codes
    • Adelaide, Australia, Sep., Available at arxiv:cs.IT/0508068
    • M. J. Wainwright and E. Maneva, "Lossy source coding by messagepassing and decimation over generalized codewords of LDGM codes," in Proc. Int. Symp. Inf. Theory, Adelaide, Australia, Sep. 2005, Available at arxiv:cs.IT/0508068.
    • (2005) Proc. Int. Symp. Inf. Theory
    • Wainwright, M.J.1    Maneva, E.2
  • 47
    • 62749181802 scopus 로고    scopus 로고
    • Low-density codes that are optimal for binning and coding with side information
    • Mar.
    • M. J. Wainwright and E. Martinian, "Low-density codes that are optimal for binning and coding with side information," IEEE Trans. Inf. Theory, vol.55, no.3, pp. 1061-1079, Mar. 2009.
    • (2009) IEEE Trans. Inf. Theory , vol.55 , Issue.3 , pp. 1061-1079
    • Wainwright, M.J.1    Martinian, E.2


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