📄 subspace_bases.m~
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function newBases=subspace_bases(X, subspaceNumber, sampleLabels, subspaceDimensions)[ambientDimension, sampleNumber]=size(X);for subspaceIndex=1:subspaceNumber groupX=X(:,sampleLabels==subspaceIndex); groupSize=size(groupX,2); if groupSize==0 % It is an empty group. error('There are empty classes in sampleLables. The function subspace_bases cannot '); else [U,S,V]=svds(groupX,min(subspaceDimensions(subspaceIndex),groupSize)); sDiag=diag(S); uSize=sum(sDiag>0); newBases{subspaceIndex}(:,1:uSize)=U(:,1:uSize); for dimensionIndex=uSize+1:subspaceDimensions(subspaceIndex) vector = randn(ambientDimension,1); newBases{subspaceIndex}(:,dimensionIndex) = vector/norm(vector); end endend
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