List questions from convex-analysis

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Proximal Operator of Huber Loss Function (For $ {L}_{1} $ Regularized Huber Loss of a Regression Function)

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364

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What is the definition of convexity of a discrete function defined on $\mathbb N^k$?

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Math and linear algebra prerequisites for convex optimization

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Theorem 7.5 from Rockafellar

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Relationship between "Ellipsoid" and "Quadratic Form"?

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224

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Continuity of support functionals

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95

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Show strict convexity of expectation of the max of a linear function

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41

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Convexity in non-affine spaces?

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143

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Derive the supremum of a function

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On definition of coercivity over an open domain

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If $A$ and $B$ don't contain rays, can $Conv(A\cup B)$ contain a ray?

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257

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Propositions and proof: Relation between convex sets and convex combinations

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Showing that the Hausdorff distance from the subdifferential to $0$ is bounded.

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216

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$\max_{i\in \{1,...,M\}} (a_i+ r_i)$ strictly convex?

Published on 26 Mar 2026 - 12:46

List Question

Prove that $\frac{1}{(1+e^x)}$ is strictly convex over $[0,\infty]$

Proximal Operator of Huber Loss Function (For $ {L}_{1} $ Regularized Huber Loss of a Regression Function)

What is the definition of convexity of a discrete function defined on $\mathbb N^k$?

Math and linear algebra prerequisites for convex optimization

Theorem 7.5 from Rockafellar

Relationship between "Ellipsoid" and "Quadratic Form"?

Continuity of support functionals

Show strict convexity of expectation of the max of a linear function

Convexity in non-affine spaces?

Derive the supremum of a function

On definition of coercivity over an open domain

If $A$ and $B$ don't contain rays, can $Conv(A\cup B)$ contain a ray?

Propositions and proof: Relation between convex sets and convex combinations

Showing that the Hausdorff distance from the subdifferential to $0$ is bounded.

$\max_{i\in \{1,...,M\}} (a_i+ r_i)$ strictly convex?

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