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Implementing the (polynomial) "kernel trick" in matlab

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Ashwin Renganathan
Ashwin Renganathan on 12 Dec 2017
Edited: Ashwin Renganathan on 12 Dec 2017
Given p = 2 vectors x in R^n, y in R^n, how to compute the kernel of order m > 2, which is of the form
A = [ones(n,1), x, y, x.*y, x.^2, y.^2, x.^2 *y, ..., x.^m, y.^m]
q = nchoosek(p+m, m)
A in R^(nxq)
For example, given
x=[1 2]'
y=[2 1]'
m = 3;
Output:
A = [1 1 2 1 4 1 8;1 2 1 4 1 8 1]

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