List questions from convex-optimization

Published on 12 Apr 2026 - 23:14

138

Views

Proving that $y\geq 1$ is active at the optimum

Published on 17 May 2026 - 4:25

73

Views

Pareto-optimal front $F$ in $m$-dimensional space can not have more than $\mathbf{H}_{m-2}(F)$ homology groups

Published on 14 Apr 2026 - 5:05

545

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Show the function is concave function but not strictly concave

Published on 10 Apr 2026 - 19:12

41

Views

Is it possible to transform a convex optimisation with the max-affine cost into either LP, QP, or conic programming?

Published on 10 Apr 2026 - 7:58

28

Views

Connections between two quadratic programming problems with same constraints (over a simplex)

Published on 17 May 2026 - 7:47

66

Views

Optimization problem in KKT $(x_{1}-1)^2+(x_{2}-2)^2$

Published on 14 Apr 2026 - 20:58

149

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'Meaning' and interpretation of convex conjugate

Published on 12 Apr 2026 - 6:20

39

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Finding the bounds of equation in multivariate analysis

Published on 09 Apr 2026 - 6:54

140

Views

Second order conditions in linear programming problems?

Published on 14 Apr 2026 - 6:57

124

Views

Finding the infimum of a multivariable polynomial

Published on 10 Apr 2026 - 23:01

277

Views

Proving that $g(x) = \frac{L}{2} x^Tx -f(x)$ is a convex function

Published on 16 Apr 2026 - 8:50

139

Views

What if coordinate descent updates multiple variables?

Published on 12 Apr 2026 - 5:22

253

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KKT conditions , inequality constraints

Published on 14 Apr 2026 - 7:05

34

Views

Analytic solution for $\min_w \max \{ c_1\|A_1w-b_1\|_2^2, c_2\|A_2w-b_2\|_2^2\}$

Published on 16 Apr 2026 - 22:29

List Question

Determine the dual cone $\mathbb{K}^{*}$ of the following cones?

Proving that $y\geq 1$ is active at the optimum

Pareto-optimal front $F$ in $m$-dimensional space can not have more than $\mathbf{H}_{m-2}(F)$ homology groups

Show the function is concave function but not strictly concave

Is it possible to transform a convex optimisation with the max-affine cost into either LP, QP, or conic programming?

Connections between two quadratic programming problems with same constraints (over a simplex)

Optimization problem in KKT $(x_{1}-1)^2+(x_{2}-2)^2$

'Meaning' and interpretation of convex conjugate

Finding the bounds of equation in multivariate analysis

Second order conditions in linear programming problems?

Finding the infimum of a multivariable polynomial

Proving that $g(x) = \frac{L}{2} x^Tx -f(x)$ is a convex function

What if coordinate descent updates multiple variables?

KKT conditions , inequality constraints

Analytic solution for $\min_w \max \{ c_1\|A_1w-b_1\|_2^2, c_2\|A_2w-b_2\|_2^2\}$

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