List questions from convex-optimization

Published on 27 Mar 2026 - 21:16

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Show that Lipschitz $\|\nabla f(x) - \nabla f(y)\| \leq L\|x - y\|$ is implied by $f(y) \leq f(x) + \nabla f(x)^T(y-x) + \dfrac{L}{2}\|y-x\|^2$

Published on 19 Nov 2016 - 7:31

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Solving SVM without QP solver

Published on 27 Mar 2026 - 15:16

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Primal-Dual basic (feasible) solution?

Published on 20 Nov 2016 - 4:04

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Convex optimization with non-convex objective function

Published on 20 Nov 2016 - 7:47

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Semidefinite Programming Representations of two Inequalities

Published on 25 Mar 2026 - 11:12

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Redefining an SDP problem

Published on 25 Mar 2026 - 12:47

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Can I convexify this mixed integer optimization problem?

Published on 07 Apr 2026 - 16:31

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find the maximum $\frac{\frac{x^2_{1}}{x_{2}}+\frac{x^2_{2}}{x_{3}}+\cdots+\frac{x^2_{n-1}}{x_{n}}+\frac{x^2_{n}}{x_{1}}}{x_{1}+x_{2}+\cdots+x_{n}}$

Published on 25 Mar 2026 - 12:50

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How to determine if a function or set is convex?

Published on 26 Nov 2016 - 17:24

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Seeking a method for finding feasible directions

Published on 26 Nov 2016 - 22:07

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Can the gradient of rounding operation be calculated?

Published on 28 Mar 2026 - 14:55

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$\min \lVert a + (x) \rVert_\alpha \leq C \lVert x \rVert_\alpha$ in $\mathbb{Z}[\alpha]$

Published on 28 Nov 2016 - 2:14

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Optimization: Constraining through parametrization

Published on 28 Nov 2016 - 10:33

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Convex optimisation with nonconvex constraint function

Published on 27 Mar 2026 - 22:59

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Machine Learning: Is the softmax function Lipschitz with Lipschitz constant $1$?

Show that Lipschitz $\|\nabla f(x) - \nabla f(y)\| \leq L\|x - y\|$ is implied by $f(y) \leq f(x) + \nabla f(x)^T(y-x) + \dfrac{L}{2}\|y-x\|^2$

Solving SVM without QP solver

Primal-Dual basic (feasible) solution?

Convex optimization with non-convex objective function

Semidefinite Programming Representations of two Inequalities

Redefining an SDP problem

Can I convexify this mixed integer optimization problem?

find the maximum $\frac{\frac{x^2_{1}}{x_{2}}+\frac{x^2_{2}}{x_{3}}+\cdots+\frac{x^2_{n-1}}{x_{n}}+\frac{x^2_{n}}{x_{1}}}{x_{1}+x_{2}+\cdots+x_{n}}$

How to determine if a function or set is convex?

Seeking a method for finding feasible directions

Can the gradient of rounding operation be calculated?

$\min \lVert a + (x) \rVert_\alpha \leq C \lVert x \rVert_\alpha$ in $\mathbb{Z}[\alpha]$

Optimization: Constraining through parametrization

Convex optimisation with nonconvex constraint function

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