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function [c,SqrtVariance,Weights] = mykmeans(x,g,init,cod)
% Copyright © 2013-2017 Dynare Team
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <https://www.gnu.org/licenses/>.
[n,m] = size(x) ;
indold = zeros(1,m) ;
if cod==0
d = transpose(sum(bsxfun(@power,bsxfun(@minus,x,mean(x)),2)));
d = sortrows( [transpose(1:m) d],2) ;
d = d((1+(0:1:g-1))*m/g,1) ;
c = x(:,d);
else
c = init ;
end
for iter=1:300
dist = zeros(g,m) ;
for i=1:g
dist(i,:) = sum(bsxfun(@power,bsxfun(@minus,x,c(:,i)),2));
end
[~,ind] = min(dist) ;
if isequal(ind,indold)
break ;
end
indold = ind ;
for i=1:g
lin = bsxfun(@eq,ind,i.*ones(1,m)) ;
h = x(:,lin) ;
c(:,i) = mean(h,2) ;
end
end
SqrtVariance = zeros(n,n,g) ;
Weights = zeros(1,g) ;
for i=1:g
temp = x(:,bsxfun(@eq,ind,i*ones(1,m))) ;
u = bsxfun(@minus,temp,mean(temp,2)); %temp-mean(temp,1)' ;
SqrtVariance(:,:,i) = chol( (u*u')/size(temp,2) )' ;
Weights(i) = size(temp,2)/m ;
end
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