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Volumn 19, Issue 1, 2009, Pages 35-47

Parabolic acceleration of the em algorithm

Author keywords

Acceleration; Convergence; EM algorithm; Finite mixture; Fixed point iteration; Linear mixed model; Multivariate Student distribution; Restart strategies; Stability

Indexed keywords


EID: 58149481660     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11222-008-9067-x     Document Type: Article
Times cited : (17)

References (25)
  • 1
    • 33947699385 scopus 로고    scopus 로고
    • Acceleration schemes with application to the em algorithm
    • A. Berlinet Ch. Roland 2007 Acceleration schemes with application to the EM algorithm Comput. Stat. Data Anal. 51 3689 3702
    • (2007) Comput. Stat. Data Anal. , vol.51 , pp. 3689-3702
    • Berlinet, A.1    Roland, Ch.2
  • 2
    • 3843062291 scopus 로고    scopus 로고
    • Initializing em using the properties of its trajectories in Gaussian mixtures
    • 3
    • C. Biernacki 2004 Initializing EM using the properties of its trajectories in Gaussian mixtures Stat. Comput. 14 3 267 279
    • (2004) Stat. Comput. , vol.14 , pp. 267-279
    • Biernacki, C.1
  • 3
    • 0037469122 scopus 로고    scopus 로고
    • Choosing starting values for the em algorithm for getting the highest likelihood in multivariate Gaussian mixture models
    • C. Biernacki G. Celeux G. Govaert 2003 Choosing starting values for the EM algorithm for getting the highest likelihood in multivariate Gaussian mixture models Comput. Stat. Data Anal. 41 561 575
    • (2003) Comput. Stat. Data Anal. , vol.41 , pp. 561-575
    • Biernacki, C.1    Celeux, G.2    Govaert, G.3
  • 6
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the em algorithm (with discussion)
    • A.P. Dempster N.M. Laird D.B. Rubin 1977 Maximum likelihood from incomplete data via the EM algorithm (with discussion) J. R. Stat. Soc. B 39 1 38
    • (1977) J. R. Stat. Soc. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 7
    • 0000307443 scopus 로고
    • Estimation of finite mixtures of distributions from the exponential family
    • V. Hasselblad 1969 Estimation of finite mixtures of distributions from the exponential family J. Am. Stat. Assoc. 64 1459 1471
    • (1969) J. Am. Stat. Assoc. , vol.64 , pp. 1459-1471
    • Hasselblad, V.1
  • 8
    • 21144460553 scopus 로고
    • Conjugate gradient acceleration of the em algorithm
    • M. Jamshidian R.I. Jennrich 1993 Conjugate gradient acceleration of the EM algorithm J. Am. Stat. Assoc. 88 221 228
    • (1993) J. Am. Stat. Assoc. , vol.88 , pp. 221-228
    • Jamshidian, M.1    Jennrich, R.I.2
  • 9
    • 0009568899 scopus 로고    scopus 로고
    • Acceleration of the em algorithm by using quasi-Newton methods
    • 3
    • M. Jamshidian R.I. Jennrich 1997 Acceleration of the EM algorithm by using quasi-Newton methods J. R. Stat. Soc. B 59 3 569 587
    • (1997) J. R. Stat. Soc. B , vol.59 , pp. 569-587
    • Jamshidian, M.1    Jennrich, R.I.2
  • 10
    • 0008596328 scopus 로고
    • A curious likelihood identity for the multivariate t distribution
    • J.T. Kent D.E. Tyler Y. Vardi 1994 A curious likelihood identity for the multivariate t distribution Commun. Stat. B 23 441 453
    • (1994) Commun. Stat. B , vol.23 , pp. 441-453
    • Kent, J.T.1    Tyler, D.E.2    Vardi, Y.3
  • 11
    • 0002414768 scopus 로고
    • A quasi-Newton acceleration of the em algorithm
    • K. Lange 1995 A quasi-Newton acceleration of the EM algorithm Stat. Sin. 5 1 18
    • (1995) Stat. Sin. , vol.5 , pp. 1-18
    • Lange, K.1
  • 13
    • 0000315742 scopus 로고
    • The ECME algorithm: A simple extension of em and ECM with faster monotone convergence
    • C. Liu D.B. Rubin 1994 The ECME algorithm: a simple extension of EM and ECM with faster monotone convergence Biometrika 81 633 648
    • (1994) Biometrika , vol.81 , pp. 633-648
    • Liu, C.1    Rubin, D.B.2
  • 14
    • 0001508169 scopus 로고    scopus 로고
    • Parameter expansion to accelerate EM: The PX-EM algorithm
    • C. Liu D.B. Rubin Y.N. Wu 1998 Parameter expansion to accelerate EM: The PX-EM algorithm Biometrika 85 755 770
    • (1998) Biometrika , vol.85 , pp. 755-770
    • Liu, C.1    Rubin, D.B.2    Wu, Y.N.3
  • 15
    • 0032381821 scopus 로고    scopus 로고
    • Weighted likelihood equations with boostrap root search
    • 442
    • M. Markatou A. Basu B.G. Lindsay 1998 Weighted likelihood equations with boostrap root search J. Am. Stat. Assoc. 93 442 740 750
    • (1998) J. Am. Stat. Assoc. , vol.93 , pp. 740-750
    • Markatou, M.1    Basu, A.2    Lindsay, B.G.3
  • 19
    • 0000251971 scopus 로고
    • Maximum likelihood estimation via the ECM algorithm: A general framework
    • X.L. Meng D. Rubin 1993 Maximum likelihood estimation via the ECM algorithm: A general framework Biometrika 80 267 278
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.L.1    Rubin, D.2
  • 20
    • 18244387717 scopus 로고    scopus 로고
    • The em algorithm-an old folk-song sung to a fast new tune
    • X.L. Meng D. van Dyk 1997 The EM algorithm-an old folk-song sung to a fast new tune J. R. Stat. Soc. B 59 511 567
    • (1997) J. R. Stat. Soc. B , vol.59 , pp. 511-567
    • Meng, X.L.1    Van Dyk, D.2
  • 23
    • 34250846275 scopus 로고    scopus 로고
    • Squared extrapolation methods (SQUAREM): A new class of simple and efficient numerical schemes for accelerating the convergence of the em algorithm
    • Johns Hopkins University
    • Varadhan, R., Roland, Ch.: Squared extrapolation methods (SQUAREM): A new class of simple and efficient numerical schemes for accelerating the convergence of the EM algorithm. Department of Biostatistics Working Paper, Johns Hopkins University (2004). http://www.bepress.com/jhubiostat/paper63
    • (2004) Department of Biostatistics Working Paper
    • Varadhan, R.1    Roland, Ch.2
  • 24
    • 0012393308 scopus 로고
    • Pattern clustering by multivariate mixture analysis
    • J.H. Wolfe 1970 Pattern clustering by multivariate mixture analysis Multivar. Behav. Res. 5 329 350
    • (1970) Multivar. Behav. Res. , vol.5 , pp. 329-350
    • Wolfe, J.H.1
  • 25
    • 0002210265 scopus 로고
    • On the convergence properties of the em algorithm
    • C.F.J. Wu 1983 On the convergence properties of the EM algorithm Ann. Stat. 11 95 103
    • (1983) Ann. Stat. , vol.11 , pp. 95-103
    • Wu, C.F.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.