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What is a kernel? Explain the kernel trick

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A kernel is a way of computing the dot product of two vectors ??x and ??y in some (possibly very high dimensional) feature space, which is why kernel functions are sometimes called “generalized dot product” [2]

The kernel trick is a method of using a linear classifier to solve a non-linear problem by transforming linearly inseparable data to linearly separable ones in a higher dimension.
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