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Manifold Parzen Windows (2002)  (Make Corrections)  (5 citations)
Pascal Vincent, Yoshua Bengio



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Abstract: The similarity between objects is a fundamental element of many learning algorithms. Most non-parametric methods take this similarity to be fixed, but much recent work has shown the advantages of learning it, in particular to exploit the local invariances in the data or to capture the possibly non-linear manifold on which most of the data lies. We propose a new non-parametric kernel density estimation method which captures the local structure of an underlying manifold through the leading... (Update)

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BibTeX entry:   (Update)

P. Vincent and Y. Bengio. Manifold parzen windows. In Advances in Neural Information Processing Systems 15, pages 825--832. MIT Press, 2003. http://citeseer.ist.psu.edu/vincent02manifold.html   More

@misc{ vincent03manifold,
  author = "P. Vincent and Y. Bengio",
  title = "Manifold parzen windows",
  text = "P. Vincent and Y. Bengio. Manifold parzen windows. In Advances in Neural
    Information Processing Systems 15, pages 825--832. MIT Press, 2003.",
  year = "2003",
  url = "citeseer.ist.psu.edu/vincent02manifold.html" }
Citations (may not include all citations):
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209   the estimation of a probability density function and mode - Parzen - 1962
148   Mixtures of probabilistic principal component analysers - Tipping, Bishop - 1999
96   Discriminant adaptive nearest neighbor classification and re.. - Hastie, Tibshirani - 1996
85   The EM algorithm for mixtures of factor analyzers - Ghahramani, Hinton - 1996
66   Flexible metric nearest neighbor classification - Friedman - 1994
44   Variational inference for Bayesian mixtures of factor analys.. - Ghahramani, Beal - 2000
42   Transformation invariance in pattern recognition --- tangent.. - Simard, LeCun et al. - 1998
34   Recognizing handwritten digits using mixtures of linear mode.. - Hinton, Revow et al. - 1995
27   Charting a manifold - Brand - 2003
23   The optimal distance measure for nearest neighbor classifica.. (context) - Short, Fukunaga - 1981
10   A probabilistic view on tangent distance - Keysers, Dahmen et al. - 2000
7   Automatic alignment of local representations - Teh, Roweis - 2003
5   Structured covariance matrices for statistical image object .. - Dahmen, Keysers et al. - 2000
3   The multi-class measure problem in nearest neighbour discrim.. (context) - Myles, Hand - 1990

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