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docs/HTML/pca_by_eigen.html

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In linear algebra, SVD is a factorization of a real or complex matrix into a rotation, followed by a rescaling followed by another rotation. It generalizes the eigen-decomposition of a square normal matrix with an orthonormal eigenbasis to any ⁠mXn matrix.<BR>
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It returns the 3 metrices U, &Sigma;, and V inside a std::tuple.<BR><BR>
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<I>U</I> contains the left singular vectors of the original matrix, meaning its columns are orthonormal vectors that span the row space of the matrix.<BR>
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<I>S</I> is a diagonal matrix that contains sqrt of eigenvalues of the original matrix's covariance matrix, arranged in descending order.<BR>
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<I>S</I> is a diagonal matrix that contains sqrt of eigenvalues of the original matrix, arranged in descending order.<BR>
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<I>V</I> contains the right singular vectors of the original matrix, represented as its columns.<BR>
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Original matrix (A) = U * &Sigma; * V<sup>T</sup><BR>
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