On the Existence of Kernel Function for Kernel-Trick of k-Means

01/19/2017

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by   Mieczysław A. Kłopotek, et al.

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This paper corrects the proof of the Theorem 2 from the Gower's paper [page 5]Gower:1982. The correction is needed in order to establish the existence of the kernel function used commonly in the kernel trick e.g. for k-means clustering algorithm, on the grounds of distance matrix. The scope of correction is explained in section 2.