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Learning Mixtures of Linear Classifiers

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 نشر من قبل Yuekai Sun
 تاريخ النشر 2013
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We consider a discriminative learning (regression) problem, whereby the regression function is a convex combination of k linear classifiers. Existing approaches are based on the EM algorithm, or similar techniques, without provable guarantees. We develop a simple method based on spectral techniques and a `mirroring trick, that discovers the subspace spanned by the classifiers parameter vectors. Under a probabilistic assumption on the feature vector distribution, we prove that this approach has nearly optimal statistical efficiency.



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