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SVM using RBF kernel is claimed to be similar (equivalent) to the K nearest neighbor classification method. I am not very clear about the analysis process of building this kind of relationship. Thanks for explanations.

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I am not aware of any claim that RBF SVM is similar to a K-NN classifier (it certainly isn't going to be equivalent). Can you give a reference to a place where such a claim has been made? – Dikran Marsupial Apr 20 '12 at 9:39
The similarity is that both classifiers calculate the distance between instances. In SVM these are the distances between the support vectors and new data and in kNN it is the distance between training all instances and new data. I think that's all. SVMs learn which support vectors they should choose and the number is usually much smaller than the size of the training set. kNN stores the whole training set. – alfa Apr 20 '12 at 17:08

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