Created
April 11, 2019 08:24
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simple k-means algorithm implemented in GNU Octave
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function y = kMeans(m, k, i) | |
% m: input matrix | |
% row: each column is a sample | |
% column: sample number | |
% k: k clusters | |
% y: vector consist of the cluster number of each sample | |
[sampleNum, featureNum] = size(m); | |
centers = m(1:k, :); | |
y = zeros(sampleNum,1); | |
iterNum = 10000000; | |
cuttentIter = 0; | |
precision = 1e-8; | |
% endless loop | |
while 1 | |
% calculate distance between every sample and every cluster center | |
distMatrix = zeros(sampleNum, k); | |
for i = 1:sampleNum | |
for j = 1:k | |
distMatrix(i,j) = norm(m(i,:)-centers(j,:), 2); | |
end | |
end | |
% update cluster according to distance | |
for i = 1:sampleNum | |
[~, y(i)] = min(distMatrix(i,:)); | |
end | |
% update cluster centers | |
nSamplesInACluster = zeros(k,1); | |
lastCenters = centers; | |
centers = zeros(size(centers)); | |
for i = 1:sampleNum | |
currentCluster = y(i); | |
centers(currentCluster,:) = centers(currentCluster,:).*nSamplesInACluster(currentCluster) + m(i,:); | |
nSamplesInACluster(currentCluster)=nSamplesInACluster(currentCluster)+1; | |
centers(currentCluster,:) = centers(currentCluster,:)./nSamplesInACluster(currentCluster); | |
end | |
% finish iteration condition | |
if(cuttentIter >= iterNum || max(abs(centers - lastCenters)) < precision ) | |
break; | |
end | |
end % while | |
end % function kMeans |
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