Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2003-11-28
2009-12-22
Shah, Kamini S (Department: 2128)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C706S019000
Reexamination Certificate
active
07636651
ABSTRACT:
A Bayesian treatment of mixture models is based on individual components having Student distributions, which have heavier tails compared to the exponentially decaying tails of Gaussians. The mixture of Student distribution components is characterized by a set of modeling parameters. Tractable approximations of the posterior distributions of individual modeling parameters are optimized and used to generate a data model for a set of input data.
REFERENCES:
patent: 5555191 (1996-09-01), Hripcsak
patent: 5696884 (1997-12-01), Heckerman et al.
patent: 5704018 (1997-12-01), Heckerman et al.
patent: 5789539 (1998-08-01), Daly et al.
patent: 5802256 (1998-09-01), Heckerman et al.
patent: 6529888 (2003-03-01), Heckerman et al.
patent: 6671661 (2003-12-01), Bishop
patent: 7184993 (2007-02-01), Heckerman
patent: 2002/0016699 (2002-02-01), Hoggart et al.
patent: 2002/0055913 (2002-05-01), Rajan
patent: 2002/0072772 (2002-06-01), Meyer et al.
patent: 2002/0111742 (2002-08-01), Rocke et al.
patent: 2003/0176931 (2003-09-01), Pednault et al.
patent: 2004/0098207 (2004-05-01), Friggens et al.
patent: 2004/0124012 (2004-07-01), Dunlop et al.
patent: 2004/0128261 (2004-07-01), Olavson et al.
patent: 2004/0152995 (2004-08-01), Cox et al.
patent: 2004/0217760 (2004-11-01), Madarasz et al.
Hirokazu Kameoka, Takuya Nishimoto and Shigeki Sagayama, “Multi-Pitch Detection Algorithm Using Constrained Gaussian Mixture Model and Information Criterion for Simultaneous Speech,” Proc.Speech Prosody 2004 (Nara, Japan), pp. 533-536, Mar. 2004.
Hirokazu Kameoka, Takuya Nishimoto and Shigeki Sagayama, “Accurate Detection Algorithm for Concurrent Sounds Based on EM Algorithm and Information Criterion,” Proc.Special Workshop in Maui(SWIM) Maui, USA,in CD-rom.Jan. 2004.
Hierarchical Bayesian models for applications in information retrieval. D. M. Blei, M. I. Jordan and A. Y. Ng. In: J. M. Bernardo, M. Bayarri, J. 0. Berger, A. P. Dawid, D. Heckerman, A. F. M. Smith, and M. West (Eds.), Bayesian Statistics 7, 2003.
Christopher M. Bishop, Markus Svensén: “Robust Bayesian Mixture Modelling”. ESANN 2004: 69-74.
Christopher M. Bishop, “Publications List”, http://research.microsoft.com/˜cmbishop/publications.htm.
Markus Svensén, “Markus Svensén's Publications”, http://research.microsoft.com/%7Emarkussv/pubs—all.aspx.
Markus Svensen and Christopher M. Bishop, Robust Bayesian mixture modelling, Neurocomputing, vol. 64, Trends in Neurocomputing: 12th European Symposium on Artificial Neural Networks 2004, Mar. 2005, pp. 235-252. (http://www.sciencedirect.com/science/article/B6V10-4F924NT-B/2/efe9d29ba53c11b8d050870f440f68a8).
D. Barber and C. Bishop. Ensemble learning in Bayesian neural networks. In C. Bishop, editor, Neural Networks and Machine Learning, pp. 215-237. Springer, Berlin, 1998. (Renumbered As pp. 1-20).
Corduneanu, A. and C. M. Bishop (2001). Variational Bayesian model selection for mixture distributions. In T. Richardson and T. Jaakkola (Eds.), Proceedings Eighth International Conference on Artificial Intelligence and Statistics, pp. 27-34. Morgan Kaufmann.
Bishop, C. M. (2002). Discussion of ‘Bayesian treed generalized linear models’ by H. A. Chipman, E. I. George and R. E. McCulloch. In J. M. Bernardo, M. J. Bayarri, J. O. Berger, A. P. Dawid, D. Heckerman, A. F. M. SMith, and M. West (Eds.), Proceedings Seventh Valencia International Meeting on Bayesian Statistics, vol. 7, pp. 98-101. Oxford Uni.
Virtanen, T.; Klapuri, A., “Separation of harmonic sounds using linear models for the overtone series,” Acoustics, Speech, and Signal Processing, 2002. Proceedings. (ICASSP '02). IEEE International Conference on , vol. 2, no. pp. 1757-1760, 2002.
S. Richardson and P. J. Green. “On bayesian analysis of mixtures with unknown number of components”. Journal of the Royal Statistical Society, Series B, 59:731-792, 1997.
H. Attias. “Inferring Parameters and structure of latent variables by variational Bayes”. In K. B. Laskey and H. Prade, editors, Proceedings of the Fifthteenth Conference on Uncertainty in Artificial Intelligence, 1999.
C. M. Bishop and J.Winn. “Non-linear Bayesian image modeling”. In Proceedings of the Sixth European Conference on Computer Vision, Dublin, vol. 1, pp. 3-17. Springer, 2000.
G. J. McLachlan and D. Peel. “Robust cluster analysis via mixtures of multivariate-distributions”. Lecture Notes in Computer Science, 1451:658-666,1998.
C. Liu and D. B. Rubin. “ML estimation of the t distribution using EM and its extensions”, ECM and ECME. Statistica Sinica, 5:19-39, 1995.
M. I. Jordan, Z. Ghahramani, T. S. Jaakkola, and L. K. Saul. “An introduction to variational methods for graphical models”. In M. I. Jordan, editor, Learning in Graphical Models, pp. 105-162. Kluwer, 1998.
D. M. Blei, M. I. Jordan, and A. Y. Ng. “Hierarchical Bayesian models for applications in information retrieval”. In G. Tesauro, D. S. Touretzky, and T. K. Leen, editors, Bayesian Statistics, vol. 7, pp. 25-43. Oxford University Press, 2003.
J. Ajmera, H. Bourlard, I. Lapidot, and I. McCowan. “Unknown-multiple Speaker Clustering using HMM.” In Proceedings of the International Conference on Speech and Language Processing, Sep. 2002.
Bishop Christopher M.
Svensen Johan Fredrik Markus
Microsoft Corporation
Shah Kamini S
Silver David
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