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High Dimensional Discriminant Analysis

Charles Bouveyron 1, 2 Stephane Girard 2 Cordelia Schmid 1, *
* Corresponding author
1 LEAR - Learning and recognition in vision
GRAVIR - IMAG - Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : We propose a new method of discriminant analysis, called High Di- mensional Discriminant Analysis (HHDA). Our approach is based on the assump- tion that high dimensional data live in different subspaces with low dimensionality. Thus, HDDA reduces the dimension for each class independently and regularizes class conditional covariance matrices in order to adapt the Gaussian framework to high dimensional data. This regularization is achieved by assuming that classes are spherical in their eigenspace. HDDA is applied to recognize object in real images and its performances are compared to classical classification methods.
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https://hal.inria.fr/inria-00548516
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Submitted on : Monday, December 20, 2010 - 9:08:56 AM
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Charles Bouveyron, Stephane Girard, Cordelia Schmid. High Dimensional Discriminant Analysis. International Conference on Applied Stochastic Models and Data Analysis, May 2005, Brest, France. pp.526--534. ⟨inria-00548516⟩

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