Implementing the (polynomial) "kernel trick" in matlab

5 views (last 30 days)
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]

Answers (0)

Categories

Find more on Matrices and Arrays in Help Center and File Exchange

Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!