A Kernel Classifier for Distributions. Pozdnoukhov, A. & Bengio, S. Technical Report 05-32, IDIAP, 2005.
A Kernel Classifier for Distributions [link]Paper  abstract   bibtex   
This paper presents a new algorithm for classifying distributions. The algorithm combines the principle of margin maximization and a kernel trick, applied to distributions. Thus, it combines the discriminative power of support vector machines and the well-developed framework of generative models. It can be applied to a number of real-life tasks which include data represented as distributions. The algorithm can also be applied for introducing some prior knowledge on invariances into a discriminative model. We illustrate this approach in details for the case of Gaussian distributions, using a toy problem. We also present experiments devoted to the real-life problem of invariant image classification.
@techreport{pozdnoukhov:2005:05-32,
  author = {A. Pozdnoukhov and S. Bengio},
  title = {A Kernel Classifier for Distributions},
  institution = {IDIAP},
  year = 2005,
  type = {Technical Report IDIAP-RR},
  number =   {05-32},
  url = {publications/ps/rr05-32.ps.gz},
  pdf = {publications/pdf/rr05-32.pdf},
  djvu = {publications/djvu/rr05-32.djvu},
  original = {2005/kernel_distribution_rr},
  abstract = {This paper presents a new algorithm for classifying distributions. The algorithm combines the principle of margin maximization and a kernel trick, applied to distributions. Thus, it combines the discriminative power of support vector machines and the well-developed framework of generative models. It can be applied to a number of real-life tasks which include data represented as distributions. The algorithm can also be applied for introducing some prior knowledge on invariances into a discriminative model. We illustrate this approach in details for the case of Gaussian distributions, using a toy problem. We also present experiments devoted to the real-life problem of invariant image classification.},
  categorie = {E},
}

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