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15
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Discarding small eigenvalues to bound rank of a matrix

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#linear-algebra #eigenvalues-eigenvectors #matrix-rank #upper-lower-bounds #nuclear-norm
585
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Show that the nuclear norm is a norm

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#linear-algebra #matrices #normed-spaces #matrix-norms #nuclear-norm
121
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How to show that $ \mathcal{C}^{\infty} (\mathcal{M}, \mathbb{R}) $ is a nuclear space ?.

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#real-analysis #operator-theory #manifolds #tensor-products #nuclear-norm
128
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Relation between 1-norm of matrix and Euclidean norm of vectors

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#linear-algebra #vector-spaces #normed-spaces #matrix-norms #nuclear-norm
931
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Convex hull of rank-$1$ matrices is the nuclear norm unit ball

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#matrices #convex-analysis #convex-hulls #nuclear-norm #rank-1-matrices
184
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Does nuclear norm decrease as some elements in a matrix are set zero?

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#linear-algebra #matrices #normed-spaces #nuclear-norm
124
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How do I minimize $||L||_* + \lambda ||S||_1$

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#optimization #convex-optimization #nuclear-norm
382
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Maximize $\langle {\bf A} , {\bf X} \rangle$ subject to $\| {\bf X} \|_* \leq 1$

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#matrices #optimization #convex-optimization #matrix-norms #nuclear-norm
222
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How calculate the trace norm via convex optimization?

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#matrices #convex-optimization #normed-spaces #matrix-norms #nuclear-norm
167
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Inequality for differences of ordered eigenvalues of nearby matrices

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#linear-algebra #matrices #eigenvalues-eigenvectors #nuclear-norm
60
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Uniform continuity of $A\log A$

Published on
#linear-algebra #matrices #entropy #nuclear-norm
232
Views

Positive semidefinite matrix ordering and nuclear norm of products

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#linear-algebra #matrices #positive-semidefinite #nuclear-norm
133
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If $A\approx_\varepsilon D$, where $D$ is diagonal, is $A$ already almost diagonal?

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#linear-algebra #matrices #diagonalization #nuclear-norm
682
Views

What is the $1$-norm of a matrix?

Published on
#matrices #definition #normed-spaces #matrix-norms #nuclear-norm
214
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What is proximal operator of nuclear norm in weighted space? (variable metric)

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#optimization #convex-analysis #convex-optimization #proximal-operators #nuclear-norm

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