-
1
-
-
0016037512
-
Optimal decoding of linear codes for minimizing symbol error rate
-
Bahl, L., Cocke, J., Jelinek, F., Raviv, J.: Optimal decoding of linear codes for minimizing symbol error rate. IEEE Trans. Inf. Theory 20, 284-287 (1974).
-
(1974)
IEEE Trans. Inf. Theory
, vol.20
, pp. 284-287
-
-
Bahl, L.1
Cocke, J.2
Jelinek, F.3
Raviv, J.4
-
4
-
-
0038266150
-
Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization
-
Bauschke, H. H., Combettes P. L., Luke D. R.: Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. J. Opt. Soc. Am. A 19, 1334-1345 (2002).
-
(2002)
J. Opt. Soc. Am. A
, vol.19
, pp. 1334-1345
-
-
Bauschke, H.H.1
Combettes, P.L.2
Luke, D.R.3
-
6
-
-
0027297425
-
Near Shannon limit error-correcting coding and decoding: turbo-codes
-
Berrou, C., Glavieux, A., Thitimajshima, P.: Near Shannon limit error-correcting coding and decoding: turbo-codes. In: Proc. 1993 IEEE Int. Conf. on Comm., pp. 1064-1070 (1993).
-
(1993)
Proc. 1993 IEEE Int. Conf. On Comm.
, pp. 1064-1070
-
-
Berrou, C.1
Glavieux, A.2
Thitimajshima, P.3
-
8
-
-
0035509961
-
Fast approximate energy minimisation via graph cuts
-
Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimisation via graph cuts. IEEE Trans. Pattern Anal. Mach. Intell. 29, 1222-1239 (2001).
-
(2001)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.29
, pp. 1222-1239
-
-
Boykov, Y.1
Veksler, O.2
Zabih, R.3
-
9
-
-
26944443478
-
Survey propagation: an algorithm for satisfiability
-
Braunstein, A., Mézard, M., Parisi, G.: Survey propagation: an algorithm for satisfiability. Random Struct. Algorithms 27, 201-226 (2005).
-
(2005)
Random Struct. Algorithms
, vol.27
, pp. 201-226
-
-
Braunstein, A.1
Mézard, M.2
Parisi, G.3
-
10
-
-
0022769976
-
Graph-based algorithms for Boolean function manipulation
-
Bryant, R. E.: Graph-based algorithms for Boolean function manipulation. IEEE Trans. Comput. 35, 677-691 (1986).
-
(1986)
IEEE Trans. Comput.
, vol.35
, pp. 677-691
-
-
Bryant, R.E.1
-
11
-
-
42749102104
-
Loop series for discrete statistical models on graphs
-
doi:10.1088/1742-5468/2006/06/P06009
-
Chertkov, M., Chernyak, M.: Loop series for discrete statistical models on graphs. J. Stat. Mech. (2006) doi: 10. 1088/1742-5468/2006/06/P06009.
-
(2006)
J. Stat. Mech.
-
-
Chertkov, M.1
Chernyak, M.2
-
12
-
-
0004263702
-
-
3rd edn., Chap. 15, Cambridge: MIT Press
-
Cormen, C. H., Leiserson, C. E., Rivest, R. L., Stein, C.: An Introduction to Algorithms, 3rd edn. MIT Press, Cambridge (2009). Chap. 15.
-
(2009)
An Introduction to Algorithms
-
-
Cormen, C.H.1
Leiserson, C.E.2
Rivest, R.L.3
Stein, C.4
-
13
-
-
84967782959
-
On the numerical solution of heat conduction problems in two or three space variables
-
Douglas, J., Rachford, H. H.: On the numerical solution of heat conduction problems in two or three space variables. Trans. Am. Math. Soc. 82, 421-439 (1956).
-
(1956)
Trans. Am. Math. Soc.
, vol.82
, pp. 421-439
-
-
Douglas, J.1
Rachford, H.H.2
-
14
-
-
0003516147
-
-
Cambridge: Cambridge University Press
-
Durbin, R., Eddy, S. R., Krogh, A., Mitchison, G.: Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids. Cambridge University Press, Cambridge (1998).
-
(1998)
Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids
-
-
Durbin, R.1
Eddy, S.R.2
Krogh, A.3
Mitchison, G.4
-
15
-
-
33344460984
-
Deconstructing the energy landscape: constraint-based algorithms for folding heteropolymers
-
026702
-
Elser, V., Rankenburg, I.: Deconstructing the energy landscape: constraint-based algorithms for folding heteropolymers. Phys. Rev. E 73, 026702 (2006).
-
(2006)
Phys. Rev. E
, vol.73
-
-
Elser, V.1
Rankenburg, I.2
-
16
-
-
33846321547
-
Searching with iterated maps
-
Elser, V., Rankenburg, I., Thibault, P.: Searching with iterated maps. Proc. Natl. Acad. Sci. USA 104, 418-423 (2007).
-
(2007)
Proc. Natl. Acad. Sci. USA
, vol.104
, pp. 418-423
-
-
Elser, V.1
Rankenburg, I.2
Thibault, P.3
-
18
-
-
0020173780
-
Phase retrieval algorithms: a comparison
-
Fienup, J. R.: Phase retrieval algorithms: a comparison. Appl. Opt. 21, 2758-2769 (1982).
-
(1982)
Appl. Opt.
, vol.21
, pp. 2758-2769
-
-
Fienup, J.R.1
-
19
-
-
0035246123
-
Codes on graphs: normal realizations
-
Forney, G. D.: Codes on graphs: normal realizations. IEEE Trans. Inf. Theory 47, 520-548 (2001).
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, pp. 520-548
-
-
Forney, G.D.1
-
20
-
-
0015600423
-
The Viterbi algorithm
-
Forney, G. D.: The Viterbi algorithm. Proc. IEEE 61, 268-278 (1973).
-
(1973)
Proc. IEEE
, vol.61
, pp. 268-278
-
-
Forney, G.D.1
-
21
-
-
0034291933
-
Learning low-level vision
-
Freeman, W. T., Pasztor, E. C., Charmichael, O. T.: Learning low-level vision. Int. J. Comput. Vis. 40, 25-47 (2000).
-
(2000)
Int. J. Comput. Vis.
, vol.40
, pp. 25-47
-
-
Freeman, W.T.1
Pasztor, E.C.2
Charmichael, O.T.3
-
25
-
-
0021518209
-
Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
-
Geman, S., Geman, D.: Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images. IEEE Trans. Pattern Anal. Mach. Intell. 6, 721-741 (1984).
-
(1984)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.6
, pp. 721-741
-
-
Geman, S.1
Geman, D.2
-
27
-
-
54749141939
-
Divide and concur: a general approach to constraint satisfaction
-
036706
-
Gravel, S., Elser, V.: Divide and concur: a general approach to constraint satisfaction. Phys. Rev. E 78, 036706 (2008).
-
(2008)
Phys. Rev. E
, vol.78
-
-
Gravel, S.1
Elser, V.2
-
28
-
-
69249222720
-
Super-human multi-talker speech recognition: a graphical modeling approach
-
Hershey, J. R., Rennie, S. J., Olsen, P. A., Kristjansson, T. T.: Super-human multi-talker speech recognition: a graphical modeling approach. Comput. Speech Lang. 24, 45-66 (2010).
-
(2010)
Comput. Speech Lang.
, vol.24
, pp. 45-66
-
-
Hershey, J.R.1
Rennie, S.J.2
Olsen, P.A.3
Kristjansson, T.T.4
-
29
-
-
81755180041
-
-
Proc. of the 12th Int. Conf. on Artificial Intelligence and Statistics
-
Ihler, A., McAllester, D.: Particle belief propagation. In: Proc. of the 12th Int. Conf. on Artificial Intelligence and Statistics (2009).
-
(2009)
Particle Belief Propagation
-
-
Ihler, A.1
McAllester, D.2
-
30
-
-
33947716431
-
A contribution to the theory of ferromagnetism
-
Ising, E.: A contribution to the theory of ferromagnetism. Z. Phys. 31, 253 (1925).
-
(1925)
Z. Phys.
, vol.31
, pp. 253
-
-
Ising, E.1
-
34
-
-
78651360972
-
Method for dense packing discovery
-
056707
-
Kallus, Y., Elser, V., Gravel, S.: Method for dense packing discovery. Phys. Rev. E 82, 056707 (2010).
-
(2010)
Phys. Rev. E
, vol.82
-
-
Kallus, Y.1
Elser, V.2
Gravel, S.3
-
35
-
-
85024429815
-
A new approach to linear filtering and prediction problems
-
Kalman, R. E.: A new approach to linear filtering and prediction problems. J. Basic Eng. 82, 35-45 (1960).
-
(1960)
J. Basic Eng.
, vol.82
, pp. 35-45
-
-
Kalman, R.E.1
-
36
-
-
36149021742
-
A theory of cooperative phenomena
-
Kikuchi, R.: A theory of cooperative phenomena. Phys. Rev. 81, 988-1003 (1951).
-
(1951)
Phys. Rev.
, vol.81
, pp. 988-1003
-
-
Kikuchi, R.1
-
40
-
-
0035246564
-
Factor graphs and the sum-product algorithm
-
Kschischang, F. R., Frey, B. J., Loeliger, H.-A.: Factor graphs and the sum-product algorithm. IEEE Trans. Inf. Theory 47, 498-519 (2001).
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, pp. 498-519
-
-
Kschischang, F.R.1
Frey, B.J.2
Loeliger, H.-A.3
-
41
-
-
0001006209
-
Local computations with probabilities on graphical structures and their application to expert systems
-
Lauritzen, S. L.: Spiegelhalter, D. J.: Local computations with probabilities on graphical structures and their application to expert systems. J. R. Stat. Soc., Ser. B 50, 157-194 (1988).
-
(1988)
J. R. Stat.Soc., Ser. B
, vol.50
, pp. 157-194
-
-
Lauritzen, S.L.1
Spiegelhalter, D.J.2
-
42
-
-
0000345334
-
Splitting algorithms for the sum of two nonlinear operators
-
Lions, P.-L., Mercier, B.: Splitting algorithms for the sum of two nonlinear operators. SIAM J. Numer. Anal. 16, 964-979 (1979).
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 964-979
-
-
Lions, P.-L.1
Mercier, B.2
-
44
-
-
0141982945
-
Least squares and Kalman filtering on Forney graphs
-
BlahutR. E. and KoetterR. (Eds.), Norwell: Kluwer Academic
-
Loeliger, H.-A.: Least squares and Kalman filtering on Forney graphs. In: Blahut, R. E., Koetter, R. (eds.) Codes, Graphs, and Systems, pp. 113-135. Kluwer Academic, Norwell (2002).
-
(2002)
Codes, Graphs, and Systems
, pp. 113-135
-
-
Loeliger, H.-A.1
-
45
-
-
38849110321
-
The factor graph approach to model-based signal processing
-
Loeliger, H.-A., Dauwels, J., Hu, J., Korl, S., Ping, L., Kschischang, F.: The factor graph approach to model-based signal processing. Proc. IEEE 95, 1295-1322 (2007).
-
(2007)
Proc. IEEE
, vol.95
, pp. 1295-1322
-
-
Loeliger, H.-A.1
Dauwels, J.2
Hu, J.3
Korl, S.4
Ping, L.5
Kschischang, F.6
-
47
-
-
33749346853
-
Walk-sums and belief propagation in Gaussian graphical models
-
Malioutov, D. M., Johnson, J. K., Willsky, A. S.: Walk-sums and belief propagation in Gaussian graphical models. J. Mach. Learn. Res. 7, 2031-2064 (2006).
-
(2006)
J. Mach. Learn. Res.
, vol.7
, pp. 2031-2064
-
-
Malioutov, D.M.1
Johnson, J.K.2
Willsky, A.S.3
-
49
-
-
0032001728
-
Turbo decoding as an instance of Pearl's "belief propagation" algorithm
-
McEliece, R. J., MacKay, D. J. C., Cheng, J. F.: Turbo decoding as an instance of Pearl's "belief propagation" algorithm. IEEE J. Sel. Areas Commun. 16, 140-152 (1998).
-
(1998)
IEEE J. Sel. Areas Commun.
, vol.16
, pp. 140-152
-
-
McEliece, R.J.1
Mackay, D.J.C.2
Cheng, J.F.3
-
51
-
-
84855197746
-
-
Oxford: Oxford University Press
-
Mézard, M., Montanari, A.: Information, Physics, and Computation. Oxford University Press, Oxford (2009).
-
(2009)
Information, Physics, and Computation
-
-
Mézard, M.1
Montanari, A.2
-
53
-
-
0037008520
-
Analytic and algorithmic solution of random satisfiability problems
-
Mézard, M., Parisi, G., Zecchina, R.: Analytic and algorithmic solution of random satisfiability problems. Science 297, 812-815 (2002).
-
(2002)
Science
, vol.297
, pp. 812-815
-
-
Mézard, M.1
Parisi, G.2
Zecchina, R.3
-
54
-
-
0027211369
-
Zero-suppressed BDDs for set manipulation in combinatorial problems
-
Minato, S.-E.: Zero-suppressed BDDs for set manipulation in combinatorial problems. In: Proc. 30th ACM/IEEE Design Automation Conference, pp. 272-277 (1993).
-
(1993)
Proc. 30th ACM/IEEE Design Automation Conference
, pp. 272-277
-
-
Minato, S.-E.1
-
58
-
-
0024610919
-
A tutorial on hidden Markov models and selected applications in speech recognition
-
Rabiner, L.: A tutorial on hidden Markov models and selected applications in speech recognition. Proc. IEEE 77, 257-286 (1989).
-
(1989)
Proc. IEEE
, vol.77
, pp. 257-286
-
-
Rabiner, L.1
-
62
-
-
0035246125
-
An analysis of belief propagation on the turbo decoding graph with Gaussian densities
-
Rusmevichientong, P., van Roy, B.: An analysis of belief propagation on the turbo decoding graph with Gaussian densities. IEEE Trans. Inf. Theory 47, 745-765 (2001).
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, pp. 745-765
-
-
Rusmevichientong, P.1
van Roy, B.2
-
63
-
-
0003584577
-
-
3rd edn., Upper Saddle River: Prentice Hall
-
Russell, S., Norvig, P.: Artificial Intelligence, A Modern Approach, 3rd edn. Prentice Hall, Upper Saddle River (2009).
-
(2009)
Artificial Intelligence, A Modern Approach
-
-
Russell, S.1
Norvig, P.2
-
65
-
-
80053283534
-
Tightening LP relaxations for MAP using message-passing
-
Sontag, D., Meltzer, T., Globerson, A., Jaakkola, T., Weiss, Y.: Tightening LP relaxations for MAP using message-passing. In: Uncertainty in Artificial Intelligence (2008).
-
(2008)
Uncertainty in Artificial Intelligence
-
-
Sontag, D.1
Meltzer, T.2
Globerson, A.3
Jaakkola, T.4
Weiss, Y.5
-
66
-
-
85032751582
-
Signal and Image processing with belief propagation
-
Sudderth, E. B., Freeman, W. T.: Signal and Image processing with belief propagation. IEEE Signal Process. Mag. 25, 114-141 (2008).
-
(2008)
IEEE Signal Process. Mag.
, vol.25
, pp. 114-141
-
-
Sudderth, E.B.1
Freeman, W.T.2
-
67
-
-
77957966295
-
Non-parametric belief propagation
-
Sudderth, E. B., Ihler, A., Isard, M., Freeman, W. T., Willsky, A. S.: Non-parametric belief propagation. Commun. ACM 53, 95-103 (2010).
-
(2010)
Commun. ACM
, vol.53
, pp. 95-103
-
-
Sudderth, E.B.1
Ihler, A.2
Isard, M.3
Freeman, W.T.4
Willsky, A.S.5
-
68
-
-
0019608335
-
A recursive approach to low complexity codes
-
Tanner, R. M.: A recursive approach to low complexity codes. IEEE Trans. Inf. Theory 27, 533-547 (1981).
-
(1981)
IEEE Trans. Inf. Theory
, vol.27
, pp. 533-547
-
-
Tanner, R.M.1
-
69
-
-
0000051698
-
Trellis structure of codes
-
V. S. Pless and W. C. Huffman (Eds.), Amsterdam: Elsevier
-
Vardy, A.: Trellis structure of codes. In: Pless, V. S., Huffman, W. C. (eds.) Handbook of Coding Theory, vol. 2, pp. 1989-2118. Elsevier, Amsterdam (1998).
-
(1998)
Handbook of Coding Theory, Vol. 2
, pp. 1989-2118
-
-
Vardy, A.1
-
70
-
-
84935113569
-
Error bounds for convolutional codes and an asymptotically optimum decoding algorithm
-
Viterbi, A. J.: Error bounds for convolutional codes and an asymptotically optimum decoding algorithm. IEEE Trans. Inf. Theory 13, 260-269 (1967).
-
(1967)
IEEE Trans. Inf. Theory
, vol.13
, pp. 260-269
-
-
Viterbi, A.J.1
-
71
-
-
23744515371
-
A new class of upper bounds on the log partition function
-
Wainwright, M. J., Jaakkola, T., Willsky, A. S.: A new class of upper bounds on the log partition function. IEEE Trans. Inf. Theory 51, 2313-2335 (2005).
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, pp. 2313-2335
-
-
Wainwright, M.J.1
Jaakkola, T.2
Willsky, A.S.3
-
72
-
-
0037516827
-
Tree-based reparametrization framework for analysis of sum-product and related algorithms
-
Wainwright, M. J., Jaakkola, T., Willsky, A. S.: Tree-based reparametrization framework for analysis of sum-product and related algorithms. IEEE Trans. Inf. Theory 45, 1120-1146 (2003).
-
(2003)
IEEE Trans. Inf. Theory
, vol.45
, pp. 1120-1146
-
-
Wainwright, M.J.1
Jaakkola, T.2
Willsky, A.S.3
-
73
-
-
27744456278
-
MAP estimation via agreement on (hyper)trees: message-passing and linear programming approaches
-
Wainwright, M. J., Jaakkola, T., Willsky, A. S.: MAP estimation via agreement on (hyper)trees: message-passing and linear programming approaches. IEEE Trans. Inf. Theory 51, 3697-3717 (2005).
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, pp. 3697-3717
-
-
Wainwright, M.J.1
Jaakkola, T.2
Willsky, A.S.3
-
74
-
-
65749118363
-
Graphical models, exponential families, and variational inference
-
Wainwright, M. J., Jordan, M. I.: Graphical models, exponential families, and variational inference. Faund. Trends Mach. Learn. 1, 1-305 (2008).
-
(2008)
Faund. Trends Mach. Learn.
, vol.1
, pp. 1-305
-
-
Wainwright, M.J.1
Jordan, M.I.2
-
75
-
-
0035246323
-
On the optimality of the max-product belief propagation algorithm on arbitrary graphs
-
Weiss, Y., Freeman, W. T.: On the optimality of the max-product belief propagation algorithm on arbitrary graphs. IEEE Trans. Inf. Theory 47, 736-744 (2001).
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, pp. 736-744
-
-
Weiss, Y.1
Freeman, W.T.2
-
76
-
-
0141695638
-
Understanding belief propagation and its generalizations
-
G. Lakemeyer and B. Nebel (Eds.), San Francisco: Morgan Kaufmann
-
Yedidia, J. S., Freeman, W. T., Weiss, Y.: Understanding belief propagation and its generalizations. In: Lakemeyer, G., Nebel, B. (eds.) Exploring Artificial Intelligence in the New Millenium, pp. 239-270. Morgan Kaufmann, San Francisco (2003).
-
(2003)
Exploring Artificial Intelligence in the New Millenium
, pp. 239-270
-
-
Yedidia, J.S.1
Freeman, W.T.2
Weiss, Y.3
-
77
-
-
23744513375
-
Constructing free energy approximations and generalized belief propagation algorithms
-
Yedidia, J. S., Freeman, W. T., Weiss, Y.: Constructing free energy approximations and generalized belief propagation algorithms. IEEE Trans. Inf. Theory 51, 2282-2312 (2005).
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, pp. 2282-2312
-
-
Yedidia, J.S.1
Freeman, W.T.2
Weiss, Y.3
-
78
-
-
79251490677
-
Divide and concur and difference-map BP decoders for LDPC codes
-
Yedidia, J. S., Wang, Y., Draper, S. C.: Divide and concur and difference-map BP decoders for LDPC codes. IEEE Trans. Inf. Theory 57, 786-802 (2011).
-
(2011)
IEEE Trans. Inf. Theory
, vol.57
, pp. 786-802
-
-
Yedidia, J.S.1
Wang, Y.2
Draper, S.C.3
|