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Quantizing Density Estimators (2001)  (Make Corrections)  (1 citation)
Peter Meinicke, Helge Ritter



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Abstract: We suggest a nonparametric framework for unsupervised learning of projection models in terms of density estimation on quantized sample spaces. The objective is not to optimally reconstruct the data but instead the quantizer is chosen to optimally reconstruct the density of the data. For the resulting quantizing density estimator (QDE) we present a general method for parameter estimation and model selection. We show how projection sets which correspond to traditional unsupervised methods... (Update)

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BibTeX entry:   (Update)

P. Meinicke and H. Ritter. Quantizing density estimators. In T. Dietterich, S. Becker, and Z. Ghahramani, editors, Advances in Neural Information Processing Systems 14 (NIPS), volume 14, pages 825--832, Cambridge, MA, 2002. MIT Press. http://citeseer.ist.psu.edu/meinicke01quantizing.html   More

@misc{ meinicke02quantizing,
  author = "P. Meinicke and H. Ritter",
  title = "Quantizing density estimators",
  text = "P. Meinicke and H. Ritter. Quantizing density estimators. In T. Dietterich,
    S. Becker, and Z. Ghahramani, editors, Advances in Neural Information Processing
    Systems 14 (NIPS), volume 14, pages 825--832, Cambridge, MA, 2002. MIT Press.",
  year = "2002",
  url = "citeseer.ist.psu.edu/meinicke01quantizing.html" }
Citations (may not include all citations):
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512   Density Estimation for Statistics and Data Analysis (context) - Silverman - 1986
149   Multivariate Density Estimation (context) - Scott - 1992
96   A unifying review of linear Gaussian models - Roweis, Ghahramani - 1999
88   Statistical mechanics and phase transitions in clustering (context) - Rose, Gurewitz et al. - 1990
56   Journal of the American Statistical Association (context) - Hastie, Stuetzle - 1989
16   A brief survey of bandwidth selection for density estimation (context) - Jones, Marron et al. - 1996
15   Nonparametric maximum likelihood estimation by the method of.. (context) - Geman, Hwang - 1982
10   IEEE Transaction on Pattern Analysis and Machine Intelligenc.. (context) - Kegl, Krzyzak et al. - 2000
10   Regularized principal manifolds - Smola, Williamson et al. - 1999
6   Support vector method for multivariate density estimation - Vapnik, Mukherjee - 2000
2   Resolution-based complexity control for Gaussian mixture mod.. - Meinicke, Ritter - 2001
1   Unsupervised Learning in a Generalized Regression Framework (context) - Meinicke - 2000
1   Empirical risk approximation: A statistical learning theory .. (context) - Buhmann, Tishby - 1998

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