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Applications where weighted singular values are useful

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#linear-algebra #matrices #matrix-decomposition #svd #singular-values
86
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Eigendecomposition of $(a^\top X a)X - Xaa^\top X$

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition #svd #matrix-analysis
131
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Relationships between the singular values and eigenvalues of an asymmetric matrix A

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #svd
197
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show singular matrix map interior and surface of a unit sphere into an ellipse

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#matrices #svd
745
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Trace Norm / Nuclear Norm: How to verify?

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#linear-algebra #normed-spaces #matlab #svd #nuclear-norm
40
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Can we always perturb a map to have distinct singular values?

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#real-analysis #multivariable-calculus #sobolev-spaces #svd #perturbation-theory
68
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Show that $\min_X \|X\|_2 = \frac{1}{\sigma_1}$

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#linear-algebra #matrices #svd #singular-values
250
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Distribution of column of random orthogonal matrix

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#probability-distributions #orthonormal #svd
276
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Eigenvalues of a Covariance Matrix with Noise

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#eigenvalues-eigenvectors #covariance #correlation #svd #symmetric-matrices
261
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singular value decomposition of the volterra operator

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#svd
1k
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Can the derivative of the matrix absolute value explode when we approach singular matrices?

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#matrix-calculus #matrix-decomposition #positive-definite #svd #orthogonal-matrices
81
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What's the effect of normalizing for SVD?

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#svd
151
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The singular values of the best rank-$k$ approximation to a matrix

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#linear-algebra #optimization #matrix-rank #svd #approximation-theory
7.5k
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Singular value decomposition - determinant

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#linear-algebra #svd
201
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Singular value decomposition of the Pauli matrix $\sigma_x$

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#linear-algebra #matrix-decomposition #svd

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