📄 kpca_map.m
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function y = kpca_map(x,basis)
%KPCA_MAP maps input vectors onto the kpca subspace.
%
% usage
% psi = kpca_map(x,basis);
%
% input
% x matrix of column vectors, containing the input
% vectors
% basis a kpca basis, generated by kpca_calc (see there)
%
% output
% y matrix of column vectors, containing the mapped
% input vectors
%
% see also
% kpca_plot, kpca_calc
%
% STH * 12MAR2002
% column of xs
xsc = size(basis.xs,2);
% calc kernel matrix for xs and x
Kxsx = kpca_matrix(basis.xs,x,basis.kernel);
% note, that "repmat..." ensures centering of xs
y = basis.V'*(Kxsx - repmat(sum(Kxsx,1),[xsc 1])/xsc);
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