List questions from convex-optimization

Published on 25 Mar 2026 - 5:01

73

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Show $f(x,y,z) = \frac{\log(y/x)}{\log(z/x)}$ is quasi concave for $x \ge y > 0$, $x \ge z > 0$.

Published on 11 Mar 2019 - 11:21

92

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Can a variational inequality (necessary condition for minima) be strict?

Published on 25 Mar 2026 - 13:42

57

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How does this proof show that $\inf_{\alpha \gt 0} \frac{f(\alpha x)}{\alpha}$ is homogenous?

Published on 11 Mar 2019 - 14:45

271

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Convert Problem to a Linear Programming (Piecewise Functions)

Published on 29 Mar 2026 - 22:12

56

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nonsymmetric cone and Euclidean Jordan Algebra

Published on 12 Mar 2019 - 8:50

149

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How to handle the case when KKT condition is always false for this toy case?

Published on 25 Mar 2026 - 12:16

185

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A convex objective function will be convex regardless of constraints?

Published on 25 Mar 2026 - 10:52

171

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If $x$ is not in the closure of a convex set $A$, is there a point in $A$ that is closer than $x$ is to each point in $A$?

Published on 13 Mar 2019 - 17:31

199

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Subdifferentiable condition on minimum of convex functions

Published on 13 Mar 2019 - 22:31

77

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An optimization problem in $L^1(0,1)$

Published on 13 Mar 2019 - 23:06

557

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Subdifferential of a lower semicontinuous, convex, and positively homogenous degree-$2$ function

Published on 14 Mar 2019 - 1:36

50

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Find a matrix A that satisfies data

Published on 14 Mar 2019 - 2:03

5.4k

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How to prove the logistic loss function is strongly convex?

Published on 25 Mar 2026 - 12:24

213

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Optimize the product of three binary variables: convex relaxation and integer solutions

Published on 24 Mar 2026 - 23:44

List Question

Convex hull of sets in Minimax theorem

Show $f(x,y,z) = \frac{\log(y/x)}{\log(z/x)}$ is quasi concave for $x \ge y > 0$, $x \ge z > 0$.

Can a variational inequality (necessary condition for minima) be strict?

How does this proof show that $\inf_{\alpha \gt 0} \frac{f(\alpha x)}{\alpha}$ is homogenous?

Convert Problem to a Linear Programming (Piecewise Functions)

nonsymmetric cone and Euclidean Jordan Algebra

How to handle the case when KKT condition is always false for this toy case?

A convex objective function will be convex regardless of constraints?

If $x$ is not in the closure of a convex set $A$, is there a point in $A$ that is closer than $x$ is to each point in $A$?

Subdifferentiable condition on minimum of convex functions

An optimization problem in $L^1(0,1)$

Subdifferential of a lower semicontinuous, convex, and positively homogenous degree-$2$ function

Find a matrix A that satisfies data

How to prove the logistic loss function is strongly convex?

Optimize the product of three binary variables: convex relaxation and integer solutions

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