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Volumn 46, Issue 2, 2000, Pages 325-343

The generalized distributive law

Author keywords

Belief propagation; Distributive law; Graphical models; Junction trees; Turbo codes

Indexed keywords

ALGORITHMS; CONVOLUTIONAL CODES; DECODING; FAST FOURIER TRANSFORMS; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; TREES (MATHEMATICS);

EID: 0033907315     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.825794     Document Type: Article
Times cited : (531)

References (41)
  • 5
    • 0016037512 scopus 로고
    • Optimal decoding of linear codes for minimizing symbol error rate
    • Mar.
    • L. R. Bahl, J. Cocke, F. Jelinek, and J. Raviv, "Optimal decoding of linear codes for minimizing symbol error rate," IEEE Trans. Inform. Theory, vol. IT-20, pp. 284-287, Mar. 1974.
    • (1974) IEEE Trans. Inform. Theory , vol.IT-20 , pp. 284-287
    • Bahl, L.R.1    Cocke, J.2    Jelinek, F.3    Raviv, J.4
  • 6
    • 0000342467 scopus 로고
    • Statistical inference for probabilistic functions of finite-state Markov chains
    • L. E. Baum and T. Petrie, "Statistical inference for probabilistic functions of finite-state Markov chains," Ann. Math. Stat, vol. 37, pp. 1559-1563, 1966.
    • (1966) Ann. Math. Stat , vol.37 , pp. 1559-1563
    • Baum, L.E.1    Petrie, T.2
  • 7
    • 0000324095 scopus 로고
    • On receiver structures for channels having memory
    • Oct.
    • R. W. Chang and J. C. Hancock, "On receiver structures for channels having memory," IEEE Trans. Inform. Theory, vol. IT-12, pp. 463-4168, Oct. 1966.
    • (1966) IEEE Trans. Inform. Theory , vol.IT-12 , pp. 463-4168
    • Chang, R.W.1    Hancock, J.C.2
  • 8
    • 84968470212 scopus 로고
    • An algorithm for the machine calculation of complex Fourier series
    • Apr.
    • J. W. Cooley and J. W. Tukey, "An algorithm for the machine calculation of complex Fourier series," Math. Comp., vol. 19, p. 297, Apr. 1965.
    • (1965) Math. Comp. , vol.19 , pp. 297
    • Cooley, J.W.1    Tukey, J.W.2
  • 10
    • 0033188982 scopus 로고    scopus 로고
    • Bucket elimination: A unifying framework for probabilistic inference
    • R. Dechter, "Bucket elimination: A unifying framework for probabilistic inference," Artificial Intell., vol. 113, pp. 41-85, 1999.
    • (1999) Artificial Intell. , vol.113 , pp. 41-85
    • Dechter, R.1
  • 11
    • 0015600423 scopus 로고
    • The Viterbi algorithm
    • Mar.
    • G. D. Forney Jr., "The Viterbi algorithm," Proc. IEEE, vol. 61, pp. 268-278, Mar. 1973.
    • (1973) Proc. IEEE , vol.61 , pp. 268-278
    • Forney Jr., G.D.1
  • 14
    • 84898964205 scopus 로고    scopus 로고
    • A revolution: Belief propagation in graphs with cycles
    • M. I. Jordan, M. I. Kearns, and S. A. Solla, Eds. Cambridge, MA: MIT Press
    • B. J. Frey and D. J. C. MacKay, "A revolution: Belief propagation in graphs with cycles," in Advances in Neural Information Processing Systems, M. I. Jordan, M. I. Kearns, and S. A. Solla, Eds. Cambridge, MA: MIT Press, 1998, pp. 470-485.
    • (1998) Advances in Neural Information Processing Systems , pp. 470-485
    • Frey, B.J.1    MacKay, D.J.C.2
  • 15
    • 84925405668 scopus 로고
    • Low-density parity-check codes
    • Jan.
    • R. G. Gallager, "Low-density parity-check codes," IRE Trans. Inform. Theory, vol. IT-8, pp. 21-28, Jan. 1962.
    • (1962) IRE Trans. Inform. Theory , vol.IT-8 , pp. 21-28
    • Gallager, R.G.1
  • 21
    • 0031996401 scopus 로고    scopus 로고
    • Iterative decoding of compound codes by probability propagation in graphical models
    • Feb.
    • F. R. Kschischang and B. J. Frey, "Iterative decoding of compound codes by probability propagation in graphical models," IEEE J. Select. Areas Commun., vol. 16, pp. 219-230, Feb. 1998.
    • (1998) IEEE J. Select. Areas Commun. , vol.16 , pp. 219-230
    • Kschischang, F.R.1    Frey, B.J.2
  • 22
    • 0042636776 scopus 로고    scopus 로고
    • Local computation with valuations from a commutative semigroup
    • S. L. Lauritzen and F. V. Jensen, "Local computation with valuations from a commutative semigroup," Ann. Math. AI, vol. 21, no. 1, pp. 51-69, 1997.
    • (1997) Ann. Math. AI , vol.21 , Issue.1 , pp. 51-69
    • Lauritzen, S.L.1    Jensen, F.V.2
  • 23
    • 0001006209 scopus 로고
    • Local computation with probabilities on graphical structures and their application to expert systems
    • S. L. Lauritzen and D. J. Spiegelhalter, "Local computation with probabilities on graphical structures and their application to expert systems," J. Roy. Statist. Soc. B, pp. 157-224, 1988.
    • (1988) J. Roy. Statist. Soc. B , pp. 157-224
    • Lauritzen, S.L.1    Spiegelhalter, D.J.2
  • 25
    • 0031096505 scopus 로고    scopus 로고
    • Near Shannon limit performance of low density parity-check codes
    • _, "Near Shannon limit performance of low density parity-check codes," Electron. Lett., vol. 33, pp. 457-4158, 1996.
    • (1996) Electron. Lett. , vol.33 , pp. 457-4158
  • 28
    • 0032001728 scopus 로고    scopus 로고
    • Turbo decoding as an instance of Pearl's belief propagation algorithm
    • Feb.
    • R. J. McEliece, D. J. C. MacKay, and J.-F. Cheng, "Turbo decoding as an instance of Pearl's belief propagation algorithm," IEEE J. Select. Areas Comm., vol. 16, pp. 140-152, Feb. 1998.
    • (1998) IEEE J. Select. Areas Comm. , vol.16 , pp. 140-152
    • McEliece, R.J.1    MacKay, D.J.C.2    Cheng, J.-F.3
  • 31
    • 33747098771 scopus 로고
    • Combinatorial structures in planetary reconnaissance
    • H. B. Mann, Ed. New York: Wiley
    • E. C. Posner, "Combinatorial structures in planetary reconnaissance," in Error Correcting Codes, H. B. Mann, Ed. New York: Wiley, 1968.
    • (1968) Error Correcting Codes
    • Posner, E.C.1
  • 32
    • 0024610919 scopus 로고
    • A tutorial on hidden Markov models and selected applications in speech recognition
    • L. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proc. IEEE, vol. 77, pp. 257-285, 1989.
    • (1989) Proc. IEEE , vol.77 , pp. 257-285
    • Rabiner, L.1
  • 34
    • 0019608335 scopus 로고
    • A recursive approach to low complexity codes
    • Sep.
    • R. M. Tanner, "A recursive approach to low complexity codes," IEEE Trans. Inform. Theory, vol. IT-27, pp. 533-547, Sep. 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , pp. 533-547
    • Tanner, R.M.1
  • 35
    • 0015205190 scopus 로고
    • Nonlinear equalization of binary signals in Gaussian noise
    • Dec.
    • G. Ungerboeck, "Nonlinear equalization of binary signals in Gaussian noise," IEEE Trans. Commun. Technol., vol. COM-19, pp. 1128-1137, Dec. 1971.
    • (1971) IEEE Trans. Commun. Technol. , vol.COM-19 , pp. 1128-1137
    • Ungerboeck, G.1
  • 36
    • 0023383664 scopus 로고
    • Dynamic programming models under commutativity conditions
    • July
    • S. Verdú and V. Poor, " dynamic programming models under commutativity conditions," SIAM J. Contr. Optimiz., vol. 25, pp. 990-1006, July 1987.
    • (1987) SIAM J. Contr. Optimiz. , vol.25 , pp. 990-1006
    • Verdú, S.1    Poor, V.2
  • 37
    • 84935113569 scopus 로고
    • Error bounds for convolutional codes and an asymptotically optimum decoding algorithm
    • Apr.
    • A. J. Viterbi, "Error bounds for convolutional codes and an asymptotically optimum decoding algorithm," IEEE Trans. Inform. Theory, vol. IT-13, pp. 260-269, Apr. 1967.
    • (1967) IEEE Trans. Inform. Theory , vol.IT-13 , pp. 260-269
    • Viterbi, A.J.1
  • 38
    • 84988779772 scopus 로고    scopus 로고
    • Correctness of local probability propagation in graphical models with loops
    • Y. Weiss, "Correctness of local probability propagation in graphical models with loops," Neural Comput., vol. 12, pp. 1-411, 2000.
    • (2000) Neural Comput. , vol.12 , pp. 1-411
    • Weiss, Y.1
  • 39
    • 0003846836 scopus 로고    scopus 로고
    • dissertation no. 440, Linkoping Studies in Science and Technology, Linkoping, Sweden
    • N. Wiberg, "Codes and decoding on general graphs ," dissertation no. 440, Linkoping Studies in Science and Technology, Linkoping, Sweden, 1996.
    • (1996) Codes and Decoding on General Graphs
    • Wiberg, N.1
  • 40
    • 0002463920 scopus 로고
    • Computing the minimum fill-in is NP-complete
    • M. Yannakakis, "Computing the minimum fill-in is NP-complete," SIAM J. Alg. Discr. Methods, vol. 2, pp. 77-79, 1981.
    • (1981) SIAM J. Alg. Discr. Methods , vol.2 , pp. 77-79
    • Yannakakis, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.