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231223s2010 xx |||||o 00| ||eng c |
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|a 10.1109/TPAMI.2009.188
|2 doi
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|a DE-627
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|a eng
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|a Kim, JooSeuk
|e verfasserin
|4 aut
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|a L2 kernel classification
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|c 2010
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
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|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Completed 29.11.2010
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|a Date Revised 20.08.2010
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a Nonparametric kernel methods are widely used and proven to be successful in many statistical learning problems. Well-known examples include the kernel density estimate (KDE) for density estimation and the support vector machine (SVM) for classification. We propose a kernel classifier that optimizes the L2 or integrated squared error (ISE) of a "difference of densities." We focus on the Gaussian kernel, although the method applies to other kernels suitable for density estimation. Like a support vector machine (SVM), the classifier is sparse and results from solving a quadratic program. We provide statistical performance guarantees for the proposed L2 kernel classifier in the form of a finite sample oracle inequality and strong consistency in the sense of both ISE and probability of error. A special case of our analysis applies to a previously introduced ISE-based method for kernel density estimation. For dimensionality greater than 15, the basic L2 kernel classifier performs poorly in practice. Thus, we extend the method through the introduction of a natural regularization parameter, which allows it to remain competitive with the SVM in high dimensions. Simulation results for both synthetic and real-world data are presented
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|a Journal Article
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|a Research Support, U.S. Gov't, Non-P.H.S.
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|a Scott, Clayton D
|e verfasserin
|4 aut
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|i Enthalten in
|t IEEE transactions on pattern analysis and machine intelligence
|d 1979
|g 32(2010), 10 vom: 01. Okt., Seite 1822-31
|w (DE-627)NLM098212257
|x 1939-3539
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|g year:2010
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|g month:10
|g pages:1822-31
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|u http://dx.doi.org/10.1109/TPAMI.2009.188
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