cca.rar_CCA_CCA matlab_cca人脸识别_cca识别代码_人脸识别

function [Wx, Wy, r] = cca(X,Y) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % --- 计算协方差矩阵 --- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% z = [X;Y]; C = cov(z.');%求协方差矩阵 sx = size(X,1);%X的纬度 sy = size(Y,1);%Y的纬度 Cxx = C(1:sx, 1:sx) + 10^(-8)*eye(sx);%x的类内协方差矩阵 Cxy = C(1:sx, sx+1:sx+sy);%x和y的类间协方差矩阵 Cyx = Cxy'; Cyy = C(sx+1:sx+sy, sx+1:sx+sy) + 10^(-8)*eye(sy);%y的类内协方差矩阵 invCyy = inv(Cyy); % --- 计算 Wx 和 r --- [Wx,r] = eig(inv(Cxx)*Cxy*invCyy*Cyx); % 计算x的Wx r = sqrt(real(r)); %计算出 Canonical correlations % Wv = Wx; % --- Sort correlations --- %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %fliplr如下 % xr = % % 1 2 3 4 5 % 6 7 8 9 10 % % >> fliplr(xr) % % ans = % % 5 4 3 2 1 % 10 9 8 7 6 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% V = fliplr(Wx); % reverse order of eigenvectors %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %flipud计算如下 % X = 1 4 becomes 3 6 % 2 5 2 5 % 3 6 1 4 %flipud(X) 变为 % 3 6 % 2 5 % 1 4 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% r = flipud(diag(r)); % extract eigenvalues anr reverse their orrer [r,I]= sort((real(r))); % sort reversed eigenvalues in ascending order r = flipud(r); % restore sorted eigenvalues into descending order for j = 1:length(I) Wx(:,j) = V(:,I(j)); % sort reversed eigenvectors in ascending order end Wx = fliplr(Wx); % restore sorted eigenvectors into descending order % --- 计算 Wy --- % Wx = Wv; Wy = invCyy*Cyx*Wx; % 计算Y的Wy % Wy = Wy./repmat(sqrt(sum(abs(Wy).^2)),sy,1); % Normalize Wy