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Matrix Differentiation of Fraction Power

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#linear-algebra #matrices #derivatives #matrix-calculus #nuclear-norm
457
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Is the nuclear norm equal to the Hilbert-Schmidt norm for a particular operator?

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#functional-analysis #operator-theory #hilbert-spaces #compact-operators #nuclear-norm
801
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Convex relaxation of rank constraint

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#convex-optimization #matrix-rank #semidefinite-programming #nuclear-norm #relaxations
4.5k
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Inequality between Frobenius and nuclear norm

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#linear-algebra #matrices #alternative-proof #matrix-norms #nuclear-norm
214
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When does the nuclear norm fail to minimize rank?

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#matrices #normed-spaces #matrix-rank #numerical-optimization #nuclear-norm
744
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Lower bound nuclear norm of $A$ by $\mathrm{tr}(|A|)$

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#linear-algebra #matrices #inequality #nuclear-norm
208
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Proof that nuclear norm minimization gives a unique solution

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#matrices #nuclear-norm #matrix-completion
85
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How to solve L1 optimization of Low-Rank matrix?

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#linear-algebra #optimization #matrix-decomposition #regularization #nuclear-norm
3.2k
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Fast computation/estimation of the nuclear norm of a matrix

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#linear-algebra #numerical-linear-algebra #svd #singular-values #nuclear-norm
24.9k
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Why is minimizing the nuclear norm of a matrix a good surrogate for minimizing the rank?

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#linear-algebra #matrices #normed-spaces #matrix-rank #nuclear-norm
19.9k
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Trace Norm properties

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#matrices #normed-spaces #matrix-norms #nuclear-norm
2.6k
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Norm inequality for sum and difference of positive-definite matrices

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#linear-algebra #matrices #inequality #normed-spaces #nuclear-norm
145
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How to compare the nuclear seminorm of a matrix with the nuclear norm of the same matrix?

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#linear-algebra #matrices #matrix-norms #nuclear-norm
93
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Positive semidefinite ordering of matrices after small perturbations

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#linear-algebra #matrices #positive-semidefinite #nuclear-norm
91
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Nuclear norm distance under Kronecker product

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#linear-algebra #normed-spaces #kronecker-product #nuclear-norm

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