메뉴 건너뛰기




Volumn 12, Issue 2, 2009, Pages 151-166

On Bayesian analysis of a finite generalized Dirichlet mixture via a Metropolis-within-Gibbs sampling

Author keywords

Bayesian analysis; EM; Generalized Dirichlet mixture; Gibbs sampling; Images classification; Metropolis Hastings; SVM

Indexed keywords


EID: 60949093876     PISSN: 14337541     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10044-008-0111-4     Document Type: Article
Times cited : (58)

References (70)
  • 1
    • 33747684076 scopus 로고    scopus 로고
    • A hybrid SEM algorithm for high-dimensional unsupervised learning using a finite generalized Dirichlet mixture
    • 9
    • N Bouguila D Ziou 2006 A hybrid SEM algorithm for high-dimensional unsupervised learning using a finite generalized Dirichlet mixture IEEE Trans Image Process 15 9 2657 2668
    • (2006) IEEE Trans Image Process , vol.15 , pp. 2657-2668
    • Bouguila, N.1    Ziou, D.2
  • 6
    • 0036014757 scopus 로고    scopus 로고
    • Finding hidden events in astrophysical data using PCA and mixture of Gaussians clustering
    • M Funaro M Marinaro A Petrosino S Scarpetta 2002 Finding hidden events in astrophysical data using PCA and mixture of Gaussians clustering Pattern Anal Appl 5 15 22
    • (2002) Pattern Anal Appl , vol.5 , pp. 15-22
    • Funaro, M.1    Marinaro, M.2    Petrosino, A.3    Scarpetta, S.4
  • 8
    • 7444239786 scopus 로고    scopus 로고
    • Unsupervised learning of a finite mixture model based on the Dirichlet distribution and its application
    • 11
    • N Bouguila D Ziou J Vaillancourt 2004 Unsupervised learning of a finite mixture model based on the Dirichlet distribution and its application IEEE Trans Image Process 13 11 1533 1543
    • (2004) IEEE Trans Image Process , vol.13 , pp. 1533-1543
    • Bouguila, N.1    Ziou, D.2    Vaillancourt, J.3
  • 9
    • 33746365837 scopus 로고    scopus 로고
    • Unsupervised selection of a finite Dirichlet mixture model: An MML-based approach
    • 8
    • N Bouguila D Ziou 2006 Unsupervised selection of a finite Dirichlet mixture model: an MML-based approach IEEE Trans Knowl Data Eng 18 8 993 1009
    • (2006) IEEE Trans Knowl Data Eng , vol.18 , pp. 993-1009
    • Bouguila, N.1    Ziou, D.2
  • 10
    • 33646032400 scopus 로고    scopus 로고
    • Online clustering via finite mixtures of Dirichlet and minimum message length
    • 4
    • N Bouguila D Ziou 2006 Online clustering via finite mixtures of Dirichlet and minimum message length Eng Appl Artif Intell 19 4 371 379
    • (2006) Eng Appl Artif Intell , vol.19 , pp. 371-379
    • Bouguila, N.1    Ziou, D.2
  • 11
    • 27244440206 scopus 로고    scopus 로고
    • on fitting finite Dirichlet mixture using ECM and MML
    • Singh S, Singh M, Apté C, Perner P (eds) Pattern recognition and data mining, third international conference on advances in pattern recognition, ICAPR (1). Springer Springer, Heidelberg
    • Bouguila N, Ziou D (2005) On fitting finite Dirichlet mixture using ECM and MML. In: Singh S, Singh M, Apté C, Perner P (eds) Pattern recognition and data mining, third international conference on advances in pattern recognition, ICAPR (1). Springer, LNCS, vol 3686. Springer, Heidelberg, pp 172-182
    • (2005) LNCS , vol.3686 , pp. 172-182
    • Bouguila, N.1    Ziou, D.2
  • 12
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the em algorithm
    • AP Dempster NM Laird DB Rubin 1977 Maximum likelihood from incomplete data via the EM algorithm J Roy Stat Soc B 39 1 38
    • (1977) J Roy Stat Soc B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 16
    • 0001244941 scopus 로고
    • Estimation of finite mixture distributions through Bayesian sampling
    • 2
    • J Diebolt CP Robert 1994 Estimation of finite mixture distributions through Bayesian sampling J Roy Stat Soc B 56 2 363 375
    • (1994) J Roy Stat Soc B , vol.56 , pp. 363-375
    • Diebolt, J.1    Robert, C.P.2
  • 18
    • 21744460005 scopus 로고    scopus 로고
    • Practical Bayesian density estimation using mixtures of normals
    • K Roeder L Wasserman 1997 Practical Bayesian density estimation using mixtures of normals J Am Stat Assoc 92 894 902
    • (1997) J Am Stat Assoc , vol.92 , pp. 894-902
    • Roeder, K.1    Wasserman, L.2
  • 20
    • 3943111574 scopus 로고    scopus 로고
    • Bayesian analysis of mixture modeling using the multivariate t distribution
    • IL Tsung CL Jack FN Huey 2004 Bayesian analysis of mixture modeling using the multivariate t distribution Stat Comput 14 119 130
    • (2004) Stat Comput , vol.14 , pp. 119-130
    • Tsung, I.L.1    Jack, C.L.2    Huey, F.N.3
  • 21
    • 3843060139 scopus 로고    scopus 로고
    • Bayesian inference for multivariate gamma distributions
    • EG Tsionas 2004 Bayesian inference for multivariate gamma distributions Stat Comput 14 223 233
    • (2004) Stat Comput , vol.14 , pp. 223-233
    • Tsionas, E.G.1
  • 22
    • 33646682404 scopus 로고    scopus 로고
    • Practical Bayesian estimation of a finite beta mixture through Gibbs sampling and its applications
    • 2
    • N Bouguila D Ziou E Monga 2006 Practical Bayesian estimation of a finite beta mixture through Gibbs sampling and its applications Stat Comput 16 2 215 225
    • (2006) Stat Comput , vol.16 , pp. 215-225
    • Bouguila, N.1    Ziou, D.2    Monga, E.3
  • 23
    • 0042379699 scopus 로고    scopus 로고
    • On Bayesian analyses and finite mixtures for proportions
    • SP Brooks 2001 On Bayesian analyses and finite mixtures for proportions Stat Comput 11 179 190
    • (2001) Stat Comput , vol.11 , pp. 179-190
    • Brooks, S.P.1
  • 25
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components (with discussion)
    • S Richardson PJ Green 1997 On Bayesian analysis of mixtures with an unknown number of components (with discussion) J Roy Stat Soc B 59 731 792
    • (1997) J Roy Stat Soc B , vol.59 , pp. 731-792
    • Richardson, S.1    Green, P.J.2
  • 26
    • 0000391986 scopus 로고    scopus 로고
    • Testing for mixtures: A Bayesian entropic approach (with discussion)
    • Dawid A, Lindley D, Berger J, Bernardo J, Smith A (eds) Oxford University Press, Oxford
    • Mengersen K, Robert CP (1996) Testing for mixtures: a Bayesian entropic approach (with discussion). In: Dawid A, Lindley D, Berger J, Bernardo J, Smith A (eds) Bayesian statistics, vol 5. Oxford University Press, Oxford, pp 255-276
    • (1996) Bayesian Statistics , vol.5 , pp. 255-276
    • Mengersen, K.1    Robert, C.P.2
  • 27
    • 0038239484 scopus 로고    scopus 로고
    • A fast distance based approach for determining the number of components in mixtures
    • S Sahu R Cheng 2003 A fast distance based approach for determining the number of components in mixtures Can J Stat 31 3 22
    • (2003) Can J Stat , vol.31 , pp. 3-22
    • Sahu, S.1    Cheng, R.2
  • 28
    • 0033441527 scopus 로고    scopus 로고
    • MCMC control spreadsheets for exponential mixture estimation
    • M Gruet A Philippe CP Robert 1999 MCMC control spreadsheets for exponential mixture estimation J Comput Graph Stat 8 298 317
    • (1999) J Comput Graph Stat , vol.8 , pp. 298-317
    • Gruet, M.1    Philippe, A.2    Robert, C.P.3
  • 29
    • 0034374610 scopus 로고    scopus 로고
    • Bayesian analysis of mixture models with an unknown number of components: An alternative to reversible jump methods
    • M Stephens 2000 Bayesian analysis of mixture models with an unknown number of components: an alternative to reversible jump methods Ann Stat 28 40 74
    • (2000) Ann Stat , vol.28 , pp. 40-74
    • Stephens, M.1
  • 30
    • 0043173919 scopus 로고    scopus 로고
    • Reversible jump MCMC converging to birth-and-death MCMC and more general continuous time samplers
    • O Cappé CP Robert T Rydén 2002 Reversible jump MCMC converging to birth-and-death MCMC and more general continuous time samplers J Roy Stat Soc B 65 679 700
    • (2002) J Roy Stat Soc B , vol.65 , pp. 679-700
    • Cappé, O.1    Robert, C.P.2    Rydén, T.3
  • 34
    • 36048970168 scopus 로고    scopus 로고
    • High-dimensional unsupervised selection and estimation of a finite generalized Dirichlet mixture model based on minimum message length
    • 10
    • N Bouguila D Ziou 2007 High-dimensional unsupervised selection and estimation of a finite generalized Dirichlet mixture model based on minimum message length IEEE Trans Pattern Anal Mach Intell 29 10 1716 1731
    • (2007) IEEE Trans Pattern Anal Mach Intell , vol.29 , pp. 1716-1731
    • Bouguila, N.1    Ziou, D.2
  • 36
    • 0007638906 scopus 로고
    • Maximum likelihood estimation for the beta distribution
    • RJ Beckman GL Tietjen 1978 Maximum likelihood estimation for the beta distribution J Stat Comput Simulat 7 253 258
    • (1978) J Stat Comput Simulat , vol.7 , pp. 253-258
    • Beckman, R.J.1    Tietjen, G.L.2
  • 38
    • 33750274518 scopus 로고    scopus 로고
    • Bayesian modeling and inference on mixtures of distributions
    • Dey D, Rao CR (eds) Elsevier, Amsterdam
    • Marin JM, Mengersen K, Robert CP (2004) Bayesian modeling and inference on mixtures of distributions. In: Dey D, Rao CR (eds) Handbook of statistics, vol 25. Elsevier, Amsterdam
    • (2004) Handbook of Statistics , vol.25
    • Marin, J.M.1    Mengersen, K.2    Robert, C.P.3
  • 41
    • 0026836139 scopus 로고
    • Bayesian diagnosis in expert systems
    • 1-2
    • GD Kleiter 1992 Bayesian diagnosis in expert systems Artif Intell 54 1-2 1 32
    • (1992) Artif Intell , vol.54 , pp. 1-32
    • Kleiter, G.D.1
  • 42
    • 0030784543 scopus 로고    scopus 로고
    • Learning and updating of uncertainty in Dirichlet models
    • 1
    • E Castillo AS Hadi C Solares 1997 Learning and updating of uncertainty in Dirichlet models Mach Learn 26 1 43 63
    • (1997) Mach Learn , vol.26 , pp. 43-63
    • Castillo, E.1    Hadi, A.S.2    Solares, C.3
  • 43
    • 2242491935 scopus 로고    scopus 로고
    • Computational and inferential difficulties with mixture posterior distributions
    • G Celeux M Hurn CP Robert 2000 Computational and inferential difficulties with mixture posterior distributions J Am Stat Assoc 95 957 970
    • (2000) J Am Stat Assoc , vol.95 , pp. 957-970
    • Celeux, G.1    Hurn, M.2    Robert, C.P.3
  • 44
    • 0031514994 scopus 로고    scopus 로고
    • Estimating Bayes factors via posterior simulation with the Laplace-Metropolis estimator
    • SM Lewis AE Raftery 1997 Estimating Bayes factors via posterior simulation with the Laplace-Metropolis estimator J Am Stat Assoc 92 648 655
    • (1997) J Am Stat Assoc , vol.92 , pp. 648-655
    • Lewis, S.M.1    Raftery, A.E.2
  • 45
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • G Schwarz 1978 Estimating the dimension of a model Ann Stat 6 461 464
    • (1978) Ann Stat , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 46
    • 0018015137 scopus 로고
    • Modeling by shortest data description
    • J Rissanen 1978 Modeling by shortest data description Automatica 14 465 471
    • (1978) Automatica , vol.14 , pp. 465-471
    • Rissanen, J.1
  • 47
    • 27944462549 scopus 로고
    • A reference Bayesian test for nested hypothesis and its relationship to the Schwarz Criterion
    • RE Kass L Wasserman 1995 A reference Bayesian test for nested hypothesis and its relationship to the Schwarz Criterion J Am Stat Assoc 90 928 934
    • (1995) J Am Stat Assoc , vol.90 , pp. 928-934
    • Kass, R.E.1    Wasserman, L.2
  • 50
    • 33846964517 scopus 로고    scopus 로고
    • Boosting particle filter-based eye tracker performance through adapted likelihood function to reflexions and light changes
    • Hansen DW, Hammoud RI (2005) Boosting particle filter-based eye tracker performance through adapted likelihood function to reflexions and light changes. In: IEEE conference on advanced video and signal based surveillance, pp 111-116
    • (2005) IEEE Conference on Advanced Video and Signal Based Surveillance , pp. 111-116
    • Hansen, D.W.1    Hammoud, R.I.2
  • 54
    • 34247639494 scopus 로고    scopus 로고
    • Automated personal identification system based on human Iris analysis
    • RT Al-Zubi DI Abu-Al-Nadi 2007 Automated personal identification system based on human Iris analysis Pattern Anal Appl 10 147 164
    • (2007) Pattern Anal Appl , vol.10 , pp. 147-164
    • Al-Zubi, R.T.1    Abu-Al-Nadi, D.I.2
  • 55
    • 24644520072 scopus 로고    scopus 로고
    • A Robust eye position tracker based on invariant local features, eye motion, and infrared-eye responses
    • Hammoud RI (2005) A Robust eye position tracker based on invariant local features, eye motion, and infrared-eye responses. In: SPIE automatic target recognition XV, vol 5807, pp 35-43
    • (2005) SPIE Automatic Target Recognition XV , vol.5807 , pp. 35-43
    • Hammoud, R.I.1
  • 58
    • 10044286099 scopus 로고    scopus 로고
    • Robust real-time eye detection and tracking under variable lighting conditions and various face orientations
    • Z Zhu Q Ji 2005 Robust real-time eye detection and tracking under variable lighting conditions and various face orientations Comp Vis Image Understanding 98 124 154
    • (2005) Comp Vis Image Understanding , vol.98 , pp. 124-154
    • Zhu, Z.1    Ji, Q.2
  • 59
    • 0030214261 scopus 로고    scopus 로고
    • Image retrieval using color and shape
    • 8
    • AK Jain A Vailaya 1996 Image retrieval using color and shape Pattern Recogn 29 8 1233 1244
    • (1996) Pattern Recogn , vol.29 , pp. 1233-1244
    • Jain, A.K.1    Vailaya, A.2
  • 61
    • 0032663328 scopus 로고    scopus 로고
    • Filtering for texture classication: A comparative study
    • 4
    • T Randen JH Husoy 1999 Filtering for texture classication: a comparative study IEEE Trans Pattern Anal Mach Intell 21 4 291 310
    • (1999) IEEE Trans Pattern Anal Mach Intell , vol.21 , pp. 291-310
    • Randen, T.1    Husoy, J.H.2
  • 62
    • 0022561870 scopus 로고
    • Sum and difference histograms for texture classification
    • 1
    • M Unser 1986 Sum and difference histograms for texture classification IEEE Trans Pattern Anal Mach Intell 8 1 118 125
    • (1986) IEEE Trans Pattern Anal Mach Intell , vol.8 , pp. 118-125
    • Unser, M.1
  • 63
    • 0022808786 scopus 로고
    • A computational approach to edge detection
    • J Canny 1986 A computational approach to edge detection IEEE Trans Pattern Anal Mach Intell 8 679 698
    • (1986) IEEE Trans Pattern Anal Mach Intell , vol.8 , pp. 679-698
    • Canny, J.1
  • 67
    • 34250816203 scopus 로고    scopus 로고
    • Unsupervised learning of a finite discrete mixture: Applications to texture modeling and image databases summarization
    • 4
    • N Bouguila D Ziou 2007 Unsupervised learning of a finite discrete mixture: applications to texture modeling and image databases summarization J Vis Commun Image Representation 18 4 295 309
    • (2007) J Vis Commun Image Representation , vol.18 , pp. 295-309
    • Bouguila, N.1    Ziou, D.2
  • 68


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.