Implementing the (polynomial) "kernel trick" in matlab

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Ashwin Renganathan 2017-12-12

编辑： Ashwin Renganathan 2017-12-12

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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