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Volumn 21, Issue 6, 2010, Pages 1004-1014

The infinite hidden Markov random field model

Author keywords

Bayesian inference; FDirichlet process; Hidden Markov random field; Nonparametric models

Indexed keywords

APRIORI; AUTOMATIC SELECTION; BAYESIAN INFERENCE; CLUSTERING APPLICATIONS; COMPUTATIONAL REQUIREMENTS; CONSTRAINED CLUSTERING; DIRICHLET PROCESS; DIRICHLET PROCESS MIXTURE; EXISTING METHOD; HIDDEN MARKOV RANDOM FIELD MODEL; HIDDEN MARKOV RANDOM FIELDS; MARKOV CHAIN MONTE CARLO METHOD; MARKOV RANDOM FIELD; MIXTURE MODEL; MODEL SIZE; NON-PARAMETRIC BAYESIAN; NON-PARAMETRIC MODEL; NUMBER OF CLUSTERS; REGION CLUSTER; UNSUPERVISED IMAGE SEGMENTATION; VARIATIONAL BAYESIAN;

EID: 77953596396     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2010.2046910     Document Type: Article
Times cited : (61)

References (41)
  • 1
    • 0000708831 scopus 로고
    • Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems
    • C. Antoniak, "Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems," Ann. Stat., vol.2, no.6, pp. 1152-1174, 1974.
    • (1974) Ann. Stat. , vol.2 , Issue.6 , pp. 1152-1174
    • Antoniak, C.1
  • 2
    • 0033874010 scopus 로고    scopus 로고
    • Unsupervised image segmentation using Markov random field models
    • S. A. Barker and P. J. W. Rayner, "Unsupervised image segmentation using Markov random field models," Pattern Recognit., vol.33, pp. 587-602, 2000.
    • (2000) Pattern Recognit. , vol.33 , pp. 587-602
    • Barker, S.A.1    Rayner, P.J.W.2
  • 3
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures
    • J. Besag, "On the statistical analysis of dirty pictures," J. R. Stat. Soc. B, vol.48, pp. 259-302, 1986.
    • (1986) J. R. Stat. Soc. B , vol.48 , pp. 259-302
    • Besag, J.1
  • 5
    • 0002617436 scopus 로고
    • Ferguson distributions via Pólya urn schemes
    • D. Blackwell and J. MacQueen, "Ferguson distributions via Pólya urn schemes," Ann. Stat., vol.1, no.2, pp. 353-355, 1973.
    • (1973) Ann. Stat. , vol.1 , Issue.2 , pp. 353-355
    • Blackwell, D.1    MacQueen, J.2
  • 6
    • 14344266175 scopus 로고    scopus 로고
    • Variational methods for the Dirichlet process
    • New York, Jul.
    • D. Blei and M. Jordan, "Variational methods for the Dirichlet process," in Proc. 21st Int. Conf. Mach. Learn., New York, Jul. 2004, pp. 12-19.
    • (2004) Proc. 21st Int. Conf. Mach. Learn. , pp. 12-19
    • Blei, D.1    Jordan, M.2
  • 7
    • 84867186048 scopus 로고    scopus 로고
    • Variational inference for Dirichlet process mixtures
    • D. M. Blei and M. I. Jordan, "Variational inference for Dirichlet process mixtures," Bayesian Anal., vol.1, no.1, pp. 121-144, 2006.
    • (2006) Bayesian Anal. , vol.1 , Issue.1 , pp. 121-144
    • Blei, D.M.1    Jordan, M.I.2
  • 8
    • 0024855884 scopus 로고
    • An iterative Gibbsian technique for reconstruction of -ary images
    • B. Chalmond, "An iterative Gibbsian technique for reconstruction of -ary images," Pattern Recognit., vol.22, no.6, pp. 747-761, 1989.
    • (1989) Pattern Recognit. , vol.22 , Issue.6 , pp. 747-761
    • Chalmond, B.1
  • 10
    • 40749103793 scopus 로고    scopus 로고
    • Signal modeling and classification using a robust latent space model based on- distributions
    • Mar.
    • S. Chatzis, D. Kosmopoulos, and T. Varvarigou, "Signal modeling and classification using a robust latent space model based on- distributions," IEEE Trans. Signal Process., vol.56, no.3, pp. 949-963, Mar. 2008
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.3 , pp. 949-963
    • Chatzis, S.1    Kosmopoulos, D.2    Varvarigou, T.3
  • 12
    • 54349092861 scopus 로고    scopus 로고
    • A fuzzy clustering approach toward hidden Markov random field models for enhanced spatially constrained image segmentation
    • Oct.
    • S. P. Chatzis and T. A. Varvarigou, "A fuzzy clustering approach toward hidden Markov random field models for enhanced spatially constrained image segmentation," IEEE Trans. Fuzzy Syst., vol.16, no.5, pp. 1351-1361, Oct. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.5 , pp. 1351-1361
    • Chatzis, S.P.1    Varvarigou, T.A.2
  • 14
    • 33847607074 scopus 로고    scopus 로고
    • A Dirichlet process mixture model for brain MRI tissue classification
    • A. R. F. da Silva, "A Dirichlet process mixture model for brain MRI tissue classification," Med. Image Anal., vol.2, pp. 169-182, 2007.
    • (2007) Med. Image Anal. , vol.2 , pp. 169-182
    • Da Silva, A.R.F.1
  • 15
    • 77953583488 scopus 로고    scopus 로고
    • A Bayesian model for simultaneous image clustering, annotation and object segmentation
    • Y. Bengio, D. Schuurmans, J. Lafferty, C.K. I.Williams, and A. Culotta, Eds. Cambridge, MA: MIT Press, Dec.
    • L. Du, L. Ren, D. Dunson, and L. Carin, "A Bayesian model for simultaneous image clustering, annotation and object segmentation," in Advances in Neural Information Processing Systems 22, Y. Bengio, D. Schuurmans, J. Lafferty, C.K. I.Williams, and A. Culotta, Eds. Cambridge, MA: MIT Press, Dec. 2009, pp. 486-494.
    • (2009) Advances in Neural Information Processing Systems , vol.22 , pp. 486-494
    • Du, L.1    Ren, L.2    Dunson, D.3    Carin, L.4
  • 16
    • 0001120413 scopus 로고
    • A Bayesian analysis of some nonparametric problems
    • T. Ferguson, "A Bayesian analysis of some nonparametric problems," Ann. Stat., vol.1, pp. 209-230, 1973.
    • (1973) Ann. Stat. , vol.1 , pp. 209-230
    • Ferguson, T.1
  • 17
    • 0141613707 scopus 로고    scopus 로고
    • Hidden Markov random field model selection criteria based on mean field-like approximations
    • Sep.
    • F. Forbes and N. Peyrard, "Hidden Markov random field model selection criteria based on mean field-like approximations," IEEE Trans. Pattern Anal. Mach. Intell., vol.25, no.9, pp. 1089-1101, Sep. 2003.
    • (2003) IEEE Trans. Pattern Anal. Mach. Intell. , vol.25 , Issue.9 , pp. 1089-1101
    • Forbes, F.1    Peyrard, N.2
  • 18
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
    • Jun.
    • S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Mach. Intell., vol.PAMI-6, no.6, pp. 721-741, Jun. 1984.
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.PAMI-6 , Issue.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 19
    • 0000935895 scopus 로고    scopus 로고
    • An introduction to variational methods for graphical models
    • M. Jordan, Ed. Dordrecht, The Netherlands: Kluwer
    • M. Jordan, Z. Ghahramani, T. Jaakkola, and L. Saul, "An introduction to variational methods for graphical models," in Learning in Graphical Models, M. Jordan, Ed. Dordrecht, The Netherlands: Kluwer, 1998, pp. 105-162.
    • (1998) Learning in Graphical Models , pp. 105-162
    • Jordan, M.1    Ghahramani, Z.2    Jaakkola, T.3    Saul, L.4
  • 20
    • 0033738219 scopus 로고    scopus 로고
    • Texture analysis through a Markovian modeling and fuzzy classification: Application to urban area extraction from satellite images
    • A. Lorette, X. Descombes, and J. Zerubia, "Texture analysis through a Markovian modeling and fuzzy classification: Application to urban area extraction from satellite images," Int. J. Comput. Vis., vol.36, no.3, pp. 219-234, 2000.
    • (2000) Int. J. Comput. Vis. , vol.36 , Issue.3 , pp. 219-234
    • Lorette, A.1    Descombes, X.2    Zerubia, J.3
  • 21
    • 84950881632 scopus 로고
    • Probabilistic solution of illposed problems in computational vision
    • J. Maroquin, S. Mitte, and T. Poggio, "Probabilistic solution of illposed problems in computational vision," J. Amer. Stat. Assoc., vol.82, pp. 76-89, 1987.
    • (1987) J. Amer. Stat. Assoc. , vol.82 , pp. 76-89
    • Maroquin, J.1    Mitte, S.2    Poggio, T.3
  • 22
    • 0034850577 scopus 로고    scopus 로고
    • A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics
    • Vancouver, "C, Canada, Jul.
    • D. Martin, C. Fowlkes, D. Tal, and J. Malik, "A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics," in Proc. 8th Int. Conf. Comput. Vis., Vancouver, "C, Canada, Jul. 2001, pp. 416-423.
    • (2001) Proc. 8th Int. Conf. Comput. Vis. , pp. 416-423
    • Martin, D.1    Fowlkes, C.2    Tal, D.3    Malik, J.4
  • 24
    • 4043092820 scopus 로고    scopus 로고
    • Nonparametric Bayesian data analysis
    • P. Muller and F. Quintana, "Nonparametric Bayesian data analysis," Stat. Sci., vol.19, no.1, pp. 95-110, 2004.
    • (2004) Stat. Sci. , vol.19 , Issue.1 , pp. 95-110
    • Muller, P.1    Quintana, F.2
  • 25
    • 77950032550 scopus 로고    scopus 로고
    • Markov chain sampling methods for Dirichlet process mixture models
    • R. Neal, "Markov chain sampling methods for Dirichlet process mixture models," J. Comput. Graph. Stat., vol.9, pp. 249-265, 2000.
    • (2000) J. Comput. Graph. Stat. , vol.9 , pp. 249-265
    • Neal, R.1
  • 26
    • 39749140347 scopus 로고    scopus 로고
    • Nonparametric Bayes image segmentation
    • P. Orbanz and J. Buhmann, "Nonparametric Bayes image segmentation," Int. J. Comput. Vis., vol.77, pp. 25-45, 2008.
    • (2008) Int. J. Comput. Vis. , vol.77 , pp. 25-45
    • Orbanz, P.1    Buhmann, J.2
  • 27
    • 34948826444 scopus 로고    scopus 로고
    • Efficient belief propagation for vision using linear constraint nodes
    • DOI 10.1109/CVPR.2007.383094, 2007 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR'07
    • B. Potetz, "Efficient belief propagation for vision using linear constraint nodes," in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Minneapolis, MN, Jun. 2007, DOI: 10.1109/CVPR.2007.383094 . (Pubitemid 47529978)
    • (2007) Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition , pp. 4270119
    • Potetz, B.1
  • 28
    • 36248955396 scopus 로고    scopus 로고
    • Music analysis using hidden Markov mixture models
    • Nov.
    • Y. Qi, J. W. Paisley, and L. Carin, "Music analysis using hidden Markov mixture models," IEEE Trans. Signal Process., vol.55, no.11, pp. 5209-5224, Nov. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.11 , pp. 5209-5224
    • Qi, Y.1    Paisley, J.W.2    Carin, L.3
  • 29
    • 0000690597 scopus 로고
    • Estimation of parameters in hidden Markov models
    • W. Qian and D. Titterington, "Estimation of parameters in hidden Markov models," Philosoph. Trans. R. Soc. Lond. A, vol.337, pp. 407-428, 1991.
    • (1991) Philosoph. Trans. R. Soc. Lond. A , vol.337 , pp. 407-428
    • Qian, W.1    Titterington, D.2
  • 30
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components
    • S. Richardson and P. J. Green, "On Bayesian analysis of mixtures with an unknown number of components," J. R. Stat. Soc., vol.59, no.4, pp. 731-792, 1997.
    • (1997) J. R. Stat. Soc. , vol.59 , Issue.4 , pp. 731-792
    • Richardson, S.1    Green, P.J.2
  • 31
    • 24644467818 scopus 로고    scopus 로고
    • Fields of experts: A framework for learning image priors
    • San Diego, CA, Jun.
    • S. Roth and M. J. Black, "Fields of experts: A framework for learning image priors," in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., San Diego, CA, Jun. 2005, pp. 860-867.
    • (2005) Proc. IEEE Conf. Comput. Vis. Pattern Recognit. , pp. 860-867
    • Roth, S.1    Black, M.J.2
  • 32
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • G. Schwarz, "Estimating the dimension of a model," Ann. Stat., vol.4, pp. 461-464, 1978.
    • (1978) Ann. Stat. , vol.4 , pp. 461-464
    • Schwarz, G.1
  • 33
    • 0000720609 scopus 로고
    • A constructive definition of the Dirichlet prior
    • J. Sethuraman, "A constructive definition of the Dirichlet prior," Statistica Sinica, vol.2, pp. 639-650, 1994.
    • (1994) Statistica Sinica , vol.2 , pp. 639-650
    • Sethuraman, J.1
  • 35
    • 72149090968 scopus 로고    scopus 로고
    • Shared segmentation of natural scenes using dependent Pitman-Yor processes
    • Vancouver, "C, Canada, Dec.
    • E. Sudderth and M. Jordan, "Shared segmentation of natural scenes using dependent Pitman-Yor processes," in Proc. Neural Inf. Process. Syst., Vancouver, "C, Canada, Dec. 2008, pp. 1585-1592.
    • (2008) Proc. Neural Inf. Process. Syst. , pp. 1585-1592
    • Sudderth, E.1    Jordan, M.2
  • 36
    • 0036566199 scopus 로고    scopus 로고
    • Image segmentation by data-driven Markov chain Monte Carlo
    • May
    • Z. W. Tu and S. C. Zhu, "Image segmentation by data-driven Markov chain Monte Carlo," IEEE Trans. Pattern Anal. Mach. Intell., vol.24, no.5, pp. 657-673, May 2002.
    • (2002) IEEE Trans. Pattern Anal. Mach. Intell. , vol.24 , Issue.5 , pp. 657-673
    • Tu, Z.W.1    Zhu, S.C.2
  • 39
    • 0001541832 scopus 로고    scopus 로고
    • Bayesian nonparametric inference for random distributions and related functions
    • S.Walker, P. Damien, P. Laud, and A. Smith, "Bayesian nonparametric inference for random distributions and related functions," J. R. Stat. Soc. B, vol.61, no.3, pp. 485-527, 1999.
    • (1999) J. R. Stat. Soc. B , vol.61 , Issue.3 , pp. 485-527
    • Walker, S.1    Damien, P.2    Laud, P.3    Smith, A.4
  • 41
    • 0027308049 scopus 로고
    • The mean field theory in EMprocedures for Markov random fields
    • Jan.
    • J. Zhang, "The mean field theory in EMprocedures for Markov random fields," IEEE Trans. Image Process., vol.2, no.1, pp. 27-40, Jan. 1993.
    • (1993) IEEE Trans. Image Process , vol.2 , Issue.1 , pp. 27-40
    • Zhang, J.1


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