List questions from convex-optimization

Published on 11 Apr 2026 - 15:05

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Distribution of solutions of quadratic programs

Published on 09 Apr 2026 - 2:06

41

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Sum of a polytope and $\{\mu_jd_j:\mu_j\ge 0\}$

Published on 15 Apr 2026 - 11:33

1.1k

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$ {L}_{1} $ Projection onto the Probability Simplex

Published on 16 Apr 2026 - 10:05

57

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Is the domain of a function $f$ for which $f(\alpha \textbf{x}+(1-\alpha)\textbf{y})\leq \alpha f( \textbf{x})+(1-\alpha)f(\textbf{y})$ convex?

Published on 14 Apr 2026 - 23:28

864

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Why is second order condition for strict concavity NOT IFF?

Published on 13 Apr 2026 - 20:33

370

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Extreme Points and Recession Cone of a set of Probability Distributions

Published on 15 Apr 2026 - 11:11

61

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Is $f(\mathbf{X}) = \sup_{\|\mathbf{y}\|\leq 1 } Tr(\mathbf{X \mathbf{y}\mathbf{y}}^T)$ an affine function?

Published on 14 Apr 2026 - 12:13

547

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Is a pointed cone always acute?

Published on 13 Apr 2026 - 5:10

813

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condition for strongly convex function

Published on 12 Apr 2026 - 7:24

1.3k

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Verifying KKT conditions required for equivalence of primal and dual optimization (from Andrew Ng notes)

Published on 12 Apr 2026 - 11:41

77

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How to solve the following optimzation use lagrange multiplier method?

Published on 11 Apr 2026 - 2:31

1.5k

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Is the min of nonnegative functions concave?

Published on 10 Apr 2026 - 21:44

72

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prove the linear combination of variables smaller than zero given the linear combination of their upper bound and lower bound smaller than zero

Published on 14 Apr 2026 - 19:46

3.6k

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QCQP with a bilinear constraint

Published on 25 Mar 2026 - 17:38

List Question

Convex optimization and strong duality

Distribution of solutions of quadratic programs

Sum of a polytope and $\{\mu_jd_j:\mu_j\ge 0\}$

$ {L}_{1} $ Projection onto the Probability Simplex

Is the domain of a function $f$ for which $f(\alpha \textbf{x}+(1-\alpha)\textbf{y})\leq \alpha f( \textbf{x})+(1-\alpha)f(\textbf{y})$ convex?

Why is second order condition for strict concavity NOT IFF?

Extreme Points and Recession Cone of a set of Probability Distributions

Is $f(\mathbf{X}) = \sup_{\|\mathbf{y}\|\leq 1 } Tr(\mathbf{X \mathbf{y}\mathbf{y}}^T)$ an affine function?

Is a pointed cone always acute?

condition for strongly convex function

Verifying KKT conditions required for equivalence of primal and dual optimization (from Andrew Ng notes)

How to solve the following optimzation use lagrange multiplier method?

Is the min of nonnegative functions concave?

prove the linear combination of variables smaller than zero given the linear combination of their upper bound and lower bound smaller than zero

QCQP with a bilinear constraint

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