Question

Strict convexity of the convex conjugate of the sum of infinity norm and Euclidean norm

score 135 · Answer 1 · 2026-04-13 01:52:07

135

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Strict convexity of the convex conjugate of the sum of infinity norm and Euclidean norm

Published on 13 Apr 2026 - 1:52

score 758 · Answer 2 · 2026-03-25 14:20:52

758

Views

Why does achieving a $O(1/k^2)$ upper bound for first-order methods imply acceleration?

Published on 25 Mar 2026 - 14:20

score 800 · Answer 3 · 2026-04-14 16:40:10

800

Views

variational characterization of convex projection

Published on 14 Apr 2026 - 16:40

score 139 · Answer 4 · 2026-04-12 00:19:18

139

Views

Convex envelope (hull)

Published on 12 Apr 2026 - 0:19

score 27 · Answer 5 · 2026-04-11 20:07:59

27

Views

How to find the convexity of the set with more than 2 vectors

Published on 11 Apr 2026 - 20:07

score 7.3k · Answer 6 · 2026-05-10 13:44:57

7.3k

Views

Minimizing a quadratic function using gradient descent

Published on 10 May 2026 - 13:44

score 95 · Answer 7 · 2026-04-11 22:06:30

95

Views

"Theoretical" exercise on convex function

Published on 11 Apr 2026 - 22:06

score 255 · Answer 8 · 2026-04-10 09:02:50

255

Views

How to transform the problem into convex optimization problem?

Published on 10 Apr 2026 - 9:02

score 129 · Answer 9 · 2026-05-13 19:21:24

129

Views

$C^3$ boundary, locally the Levi form satisfies $L(r,t)\geq -C|r(z)||t|^2$ for tangent vectors $t$ and defining function $r$.

Published on 13 May 2026 - 19:21

score 93 · Answer 10 · 2026-04-29 12:44:18

93

Views

How to tranform the quasilinear constraint into convex or affine constraint?

Published on 29 Apr 2026 - 12:44

score 95 · Answer 11 · 2026-04-15 11:36:02

95

Views

For a convex function, will the $-\nabla f$ always point towards the minima?

Published on 15 Apr 2026 - 11:36

score 844 · Answer 12 · 2026-04-12 17:49:49

844

Views

Is it a jointly concave function of $(x,y,z)$?

Published on 12 Apr 2026 - 17:49

score 225 · Answer 13 · 2026-05-10 15:44:13

225

Views

How to handle this nonlinear inequality constraint in an optimization problem?

Published on 10 May 2026 - 15:44

score 143 · Answer 14 · 2026-04-15 14:37:22

143

Views

Necessary/sufficient condition for directional derivative to be zero (infinite-dimensional optimization)

Published on 15 Apr 2026 - 14:37

score 1.1k · Answer 15 · 2026-04-16 01:41:52

1.1k

Views

Relative interior of convex sets

Published on 16 Apr 2026 - 1:41

List Question

Strict convexity of the convex conjugate of the sum of infinity norm and Euclidean norm

Why does achieving a $O(1/k^2)$ upper bound for first-order methods imply acceleration?

variational characterization of convex projection

Convex envelope (hull)

How to find the convexity of the set with more than 2 vectors

Minimizing a quadratic function using gradient descent

"Theoretical" exercise on convex function

How to transform the problem into convex optimization problem?

$C^3$ boundary, locally the Levi form satisfies $L(r,t)\geq -C|r(z)||t|^2$ for tangent vectors $t$ and defining function $r$.

How to tranform the quasilinear constraint into convex or affine constraint?

For a convex function, will the $-\nabla f$ always point towards the minima?

Is it a jointly concave function of $(x,y,z)$?

How to handle this nonlinear inequality constraint in an optimization problem?

Necessary/sufficient condition for directional derivative to be zero (infinite-dimensional optimization)

Relative interior of convex sets

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