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Minimum L1 norm may not obtain the sparsest solution?

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#linear-algebra #matrices #numerical-methods #normed-spaces #convex-optimization
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Is this set convex ?2

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#convex-analysis #convex-optimization
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Solving box-constrained least-squares

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#optimization #convex-optimization #least-squares #numerical-optimization #quadratic-programming
323
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Cyclic monotonicity of sub-differential domain and convex property

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#convex-analysis #convex-optimization #numerical-optimization
980
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What change of variables, if any, transforms this nonconvex problem into a convex one?

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#convex-optimization #nonlinear-optimization
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The convex conjugate of a quadratic form with positive semi definite matrix

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#convex-analysis #convex-optimization #duality-theorems
178
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Show that the set of points that are nearer $a$ than $b$ with respect to $\lVert \cdot \rVert_2$ is convex

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#convex-analysis #normed-spaces #convex-optimization
1.3k
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Stochastic gradient descent for convex optimization

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#numerical-methods #convex-analysis #convex-optimization #machine-learning #gradient-descent
64
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Uniqueness of the solution to a quadratic opt problem

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#convex-analysis #convex-optimization #quadratic-programming
8.5k
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How to find closest positive definite matrix of non-symmetric matrix?

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#matrices #convex-optimization
4.5k
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convexity of matrix "soft-max" (log trace of matrix exponential)

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#convex-analysis #convex-optimization #matrix-calculus
71
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Constraints in optimization; redundant hardness?

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#optimization #convex-optimization #nonlinear-optimization
235
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Prove or disprove the concavity of the function

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#real-analysis #convex-analysis #convex-optimization
50
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Approximate an exponential function

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#optimization #convex-optimization
988
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How to prove the convexity of the logrithmic gamma function?

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#calculus #convex-optimization

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