This short video demonstrates how vectors of two classes that cannot be linearly separated in 2-D space,
can become linearly separated by a transformation function into a higher
dimensional space....
This short video demonstrates how vectors of two classes that cannot be linearly separated in 2-D space, can become linearly separated by a transformation function into a higher dimensional space.
The transformation used is: f([x y]) = [x y (x^2+y^2)]
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Thanks. The kernel is the dot product in the higher-dimensional space. In this case: K( [x1 y1], [x2 y2] ) = [x1 y1 x1^2+y1^2][x2 y2 x2^2 y2^2] = x1x2+y1y2+(x1^2+y1^2)(x2^2+y2^ 2)
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What would be the kernel for this transformation?
The kernel is the dot product in the higher-dimensional space. In this case:
K( [x1 y1], [x2 y2] ) =
[x1 y1 x1^2+y1^2][x2 y2 x2^2 y2^2] =
x1x2+y1y2+(x1^2+y1^2)(x2^2+y2^ 2)
you created it using any tools and languages ?