Relationship between covariance eigenvalues and MSE











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I have a matrix $A$, and $tilde{A}$ is the approximation matrix calculated as the projection of $A$. Now I calculated the MSE between $A$ and $tilde{A}$, and the $C$ as the covariance matrix of $A$. Furthermore I calculated the eigenvalues of the covariance matrix. What is the correlation between the eigenvalues and the MSE?










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    I have a matrix $A$, and $tilde{A}$ is the approximation matrix calculated as the projection of $A$. Now I calculated the MSE between $A$ and $tilde{A}$, and the $C$ as the covariance matrix of $A$. Furthermore I calculated the eigenvalues of the covariance matrix. What is the correlation between the eigenvalues and the MSE?










    share|cite|improve this question
























      up vote
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      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have a matrix $A$, and $tilde{A}$ is the approximation matrix calculated as the projection of $A$. Now I calculated the MSE between $A$ and $tilde{A}$, and the $C$ as the covariance matrix of $A$. Furthermore I calculated the eigenvalues of the covariance matrix. What is the correlation between the eigenvalues and the MSE?










      share|cite|improve this question













      I have a matrix $A$, and $tilde{A}$ is the approximation matrix calculated as the projection of $A$. Now I calculated the MSE between $A$ and $tilde{A}$, and the $C$ as the covariance matrix of $A$. Furthermore I calculated the eigenvalues of the covariance matrix. What is the correlation between the eigenvalues and the MSE?







      eigenvalues-eigenvectors mean-square-error






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