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Volumn 8, Issue 1, 1996, Pages 129-151

On Convergence Properties of the EM Algorithm for Gaussian Mixtures

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EID: 2342533082     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/neco.1996.8.1.129     Document Type: Article
Times cited : (622)

References (21)
  • 1
    • 0029587111 scopus 로고
    • Information geometry of the EM and em algorithms for neural networks
    • in press
    • Amari, S. 1995. Information geometry of the EM and em algorithms for neural networks. Neural Networks 8, (5) (in press).
    • (1995) Neural Networks , vol.8 , Issue.5
    • Amari, S.1
  • 2
    • 84972571328 scopus 로고
    • Growth transformation for functions on manifolds
    • Baum, L. E., and Sell, G. R. 1968. Growth transformation for functions on manifolds. Pac. J. Math. 27, 211-227.
    • (1968) Pac. J. Math. , vol.27 , pp. 211-227
    • Baum, L.E.1    Sell, G.R.2
  • 3
    • 0000971250 scopus 로고
    • An input-output HMM architecture
    • G. Tesauro, D. S. Touretzky, and J. Alspector, eds. MIT Press, Cambridge MA
    • Bengio, Y., and Frasconi, P., 1995. An input-output HMM architecture. In Advances in Neural Information Processing Systems 7, G. Tesauro, D. S. Touretzky, and J. Alspector, eds. MIT Press, Cambridge MA.
    • (1995) Advances in Neural Information Processing Systems 7
    • Bengio, Y.1    Frasconi, P.2
  • 4
    • 0002558783 scopus 로고
    • On the convergence of the EM algorithm
    • Boyles, R. A. 1983. On the convergence of the EM algorithm. J. Royal Stat. Soc. B45(1), 47-50.
    • (1983) J. Royal Stat. Soc. , vol.B45 , Issue.1 , pp. 47-50
    • Boyles, R.A.1
  • 5
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • Dempster, A. P., Laird, N. M., and Rubin, D. B. 1977. Maximum likelihood from incomplete data via the EM algorithm. J. Royal Stat. Soc. B39, 1-38.
    • (1977) J. Royal Stat. Soc. , vol.B39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 6
    • 0001551844 scopus 로고
    • Function approximation via density estimation using the EM approach
    • J. D. Cowan, G. Tesauro, and J. Alspector, eds., Morgan Kaufmann, San Mateo, CA
    • Ghahramani, Z. and Jordan, M. I. 1994. Function approximation via density estimation using the EM approach. In Advances in Neural Information Processing Systems 6, J. D. Cowan, G. Tesauro, and J. Alspector, eds., pp. 120-127. Morgan Kaufmann, San Mateo, CA.
    • (1994) Advances in Neural Information Processing Systems 6 , pp. 120-127
    • Ghahramani, Z.1    Jordan, M.I.2
  • 7
    • 0000262562 scopus 로고
    • Hierarchical mixtures of experts and the EM algorithm
    • Jordan, M. I., and Jacobs, R. A. 1994. Hierarchical mixtures of experts and the EM algorithm. Neural Comp. 6, 181-214.
    • (1994) Neural Comp. , vol.6 , pp. 181-214
    • Jordan, M.I.1    Jacobs, R.A.2
  • 8
    • 0029617280 scopus 로고
    • Convergence results for the EM approach to mixtures-of-experts architectures
    • in press
    • Jordan, M. I., and Xu, L. 1995. Convergence results for the EM approach to mixtures-of-experts architectures. Neural Networks (in press).
    • (1995) Neural Networks
    • Jordan, M.I.1    Xu, L.2
  • 9
    • 0020734214 scopus 로고
    • An introduction to the application of the theory of probabilistic functions of Markov process to automatic speech recognition
    • Levinson, S. E., Rabiner, L. R., and Sondhi, M. M. 1983. An introduction to the application of the theory of probabilistic functions of Markov process to automatic speech recognition. Bell Sys. Techni. J. 62, 1035-1072.
    • (1983) Bell Sys. Techni. J. , vol.62 , pp. 1035-1072
    • Levinson, S.E.1    Rabiner, L.R.2    Sondhi, M.M.3
  • 12
    • 0021404166 scopus 로고
    • Mixture densities, maximum likelihood, and the EM algorithm
    • Redner, R. A., and Walker, H. F. 1984. Mixture densities, maximum likelihood, and the EM algorithm, SIAM Rev. 26, 195-239.
    • (1984) SIAM Rev. , vol.26 , pp. 195-239
    • Redner, R.A.1    Walker, H.F.2
  • 13
    • 0001593436 scopus 로고
    • Recursive parameter estimation using incomplete data
    • Titterington, D. M. 1984. Recursive parameter estimation using incomplete data. J. of Royal Stat. Soc. B46, 257-267.
    • (1984) J. of Royal Stat. Soc. , vol.B46 , pp. 257-267
    • Titterington, D.M.1
  • 14
    • 0000684508 scopus 로고
    • Training neural networks with deficient data
    • J. D. Cowan, G. Tesauro, and J. Alspector, eds. Morgan Kaufmann, San Mateo, CA
    • Tresp, V., Ahmad, S., and Neuneier, R. 1994. Training neural networks with deficient data. In Advances in Neural Information Processing Systems 6, J. D. Cowan, G. Tesauro, and J. Alspector, eds. Morgan Kaufmann, San Mateo, CA.
    • (1994) Advances in Neural Information Processing Systems 6
    • Tresp, V.1    Ahmad, S.2    Neuneier, R.3
  • 16
    • 0002210265 scopus 로고
    • On the convergence properties of the EM algorithm
    • Wu, C. F. J. 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
  • 17
    • 0005059503 scopus 로고
    • Unsupervised learning by EM algorithm based on finite mixture of Gaussians
    • Portland, OR
    • Xu, L., and Jordan, M. I. 1993a. Unsupervised learning by EM algorithm based on finite mixture of Gaussians. Proc. WCNN'93, Portland, OR, II, 431-434.
    • (1993) Proc. WCNN'93 , vol.2 , pp. 431-434
    • Xu, L.1    Jordan, M.I.2
  • 18
    • 0010291089 scopus 로고
    • EM learning on a generalized finite mixture model for combining multiple classifiers
    • Portland, OR
    • Xu, L., and Jordan, M. I. 1993b. EM learning on a generalized finite mixture model for combining multiple classifiers. Proc. WCNN'93, Portland, OR, IV, 227-230.
    • (1993) Proc. WCNN'93 , vol.4 , pp. 227-230
    • Xu, L.1    Jordan, M.I.2
  • 20
    • 0013220541 scopus 로고
    • A modified gating network for the mixtures of experts architecture
    • San Diego
    • Xu, L., Jordan, M. I., and Hinton, G. E. 1994. A modified gating network for the mixtures of experts architecture. Proc. WCNN'94, San Diego, 2, 405-410.
    • (1994) Proc. WCNN'94 , vol.2 , pp. 405-410
    • Xu, L.1    Jordan, M.I.2    Hinton, G.E.3
  • 21
    • 0001375902 scopus 로고
    • Statistical physics, mixtures of distributions and the EM algorithm
    • Yuille, A. L., Stolorz, P., and Utans, J. 1994. Statistical physics, mixtures of distributions and the EM algorithm. Neural Comp. 6, 334-340.
    • (1994) Neural Comp. , vol.6 , pp. 334-340
    • Yuille, A.L.1    Stolorz, P.2    Utans, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.