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The Infinite Gaussian Mixture Model (2000)  (Make Corrections)  (14 citations)
Carl Edward Rasmussen



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Abstract: In a Bayesian mixture model it is not necessary a priori to limit the number of components to be finite. In this paper an infinite Gaussian mixture model is presented which neatly sidesteps the difficult problem of finding the "right" number of mixture components. Inference in the model is done using an efficient parameter-free Markov Chain that relies entirely on Gibbs sampling. (Update)

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A Non-Parametric Bayesian Method for Inferring Hidden Causes - Frank Wood Computer (2006)   (Correct)
A Non-Parametric Bayesian Approach to Spike Sorting - Frank Wood Sharon (2006)   (Correct)
Hierarchical Dirichlet Processes - Yee Whye Teh (2003)   (Correct)

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1.3:   Variational Inference for Dirichlet Process Mixtures - David M. Blei, Michael I.. (2006)   (Correct)
0.1:   The Infinite Gaussian Mixture Model - Rasmussen (2000)   (Correct)
0.0:   The Countably Infinite Bayesian Gaussian Mixture Density Model - Rasmussen (1999)   (Correct)

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7:   Markov chain sampling methods for Dirichlet process mixture models (context) - Neal - 1998
6:   Bayesian density estimation and inference using mixtures - Escobar, West - 1994
5:   Mixtures of Dirichlet processes with applications to Bayesian nonparametric prob.. (context) - Antoniak - 1974

BibTeX entry:   (Update)

Rasmussen, C. E. (2000) The Infinite Gaussian Mixture Model, in S. A. Solla, T. K. Leen and K.-R. Muller (editors.), Adv. Neur. Inf. Proc. Sys. 12, MIT Press, pp. 554--560. http://citeseer.ist.psu.edu/rasmussen00infinite.html   More

@misc{ rasmussen00infinite,
  author = "C. Rasmussen",
  title = "The Infinite Gaussian Mixture Model",
  text = "Rasmussen, C. E. (2000) The Infinite Gaussian Mixture Model, in S. A. Solla,
    T. K. Leen and K.-R. Muller (editors.), Adv. Neur. Inf. Proc. Sys. 12, MIT
    Press, pp. 554--560.",
  year = "2000",
  url = "citeseer.ist.psu.edu/rasmussen00infinite.html" }
Citations (may not include all citations):
269   Bayesian Learning for Neural Networks (context) - Neal - 1996
169   Mixtures of Dirichlet processes with applications to Bayesia.. (context) - Antoniak - 1974
168   A Bayesian analysis of some nonparametric problems (context) - Ferguson - 1973
150   On Bayesian analysis of mixtures with an unknown number of c.. - Richardson, Green - 1997
91   Adaptive rejection sampling for Gibbs sampling (context) - Gilks, Wild - 1992
78   Gaussian Processes for Regression - Williams - 1996
60   Markov chain sampling methods for Dirichlet process mixture .. (context) - Neal - 1998
41   SMEM Algorithm for Mixture Models - Ueda, Nakano et al. - 1998
16   Hierarchical priors and mixture models with applications in .. - West, Muller et al. - 1994



The graph only includes citing articles where the year of publication is known.


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