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I am working on KPCA based fault detection. I have question concerning the kernel trick in the feature space. We all know that the dot product in the feature space is computed using kernel function. I need algebraic explanation how can the kernel function compute the dot product in the feature space?

  • You need to explain better what you are trying to understand. Your question "How can the kernel function compute the dot product in the feature space?" understood literally can be answered quite trivially: By defining the kernel as the dot product. – g g Oct 12 '21 at 21:30

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