[W phi]=train_rbf(X,Y,Xc,k_i,basisfunction)

function [W phi]=train_rbf(X,Y,Xc,k_i,basisfunction)
%trains a radial basis function
%X is a N_p by N_dim matrix of training data
%Y is a N_p by N_dim matrix of training data
%Xc is a N_r by N_dim matrix of rbf centres
%basisfunction may be 'gaussian' or 'polyharmonicspline'
%k_i is a prescaler for 'gaussian' rbf and function order for
%'polyharmonicspline'. See k_i(i)=0 for constant bias

%
%Copyright (c) 2009, Travis Wiens
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if nargin<4
    k_i=1;
end

if nargin<5
    basisfunction='gaussian';
end

N_r=size(Xc,1);%number of centres

W=zeros(N_r,1);%weight matrix
[z phi]=sim_rbf(Xc,X,W,k_i,basisfunction);%simulate rbf
%A=pinv(phi'*phi)*phi';%do inverse
%W=A*Y;
W=phi\Y;%find weights