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I am reading about K-means algorithm, and trying to explain it to myself in one sentence. However, I am a bit confused. I have came up with following definitions and I am not sure whether which one is more precise to describe it. Which definition makes more sense? Also, kernel of K-means can be only arbitrary or Gaussian? I know that it is used in Gaussian mixture models, but I am not sure.

  1. nonconvex algorithm to cluster the data
  2. kernelized version of means algorithm where the kernel is arbitrary
  3. kernelized version of means algorithm where the kernel is Gaussian
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