Made comments more clear.

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Davis King 2010-01-04 22:13:24 +00:00
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so-called kernel trick. This trick is to replace the dot product with a user
supplied function which takes two samples and returns a real number. This function
is the kernel that is required by so many algorithms. The most basic kernel is the
linear_kernel which is simply a normal dot product. However, more interesting
kernels first apply some nonlinear transformation to the user's data samples and
then compute a dot product. In this way, a simple algorithm that finds a linear
plane to separate data (i.e. the SVM algorithm) can be made to solve complex
linear_kernel which is simply a normal dot product. More interesting, however,
are kernels which first apply some nonlinear transformation to the user's data samples
and then compute a dot product. In this way, a simple algorithm that finds a linear
plane to separate data (e.g. the SVM algorithm) can be made to solve complex
nonlinear learning problems.
An important element of the kernel trick is that these kernel functions perform