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A question about convex analysis of expectation value

score 45 · Answer 1 · 2018-11-23 02:24:35

45

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A question about convex analysis of expectation value

Published on 23 Nov 2018 - 2:24

score 68 · Answer 2 · 2026-02-23 02:58:30

68

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Error is the Projection on the Noise - Does the intuition carry over from least squares?

Published on 23 Feb 2026 - 2:58

score 508 · Answer 3 · 2026-03-25 17:42:28

508

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Prove that the normal cone $N_{\text{gph}(f)}$ of the graph of the affine function $f$ has the given form.

Published on 25 Mar 2026 - 17:42

score 3k · Answer 4 · 2018-11-23 21:26:25

3k

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What do the coefficients $\lambda$ and $1- \lambda$ represent in the convexity condition of $f$?

Published on 23 Nov 2018 - 21:26

score 164 · Answer 5 · 2026-03-25 06:10:32

164

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What does it essentially mean if the neural network has convex error surface?

Published on 25 Mar 2026 - 6:10

score 95 · Answer 6 · 2026-03-25 19:06:56

95

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Why is $\alpha^n\beta^m+\alpha^m\beta^n\le\alpha^s\beta^t+\alpha^t\beta^s$ if $(n,m)\preceq(s,t)$?

Published on 25 Mar 2026 - 19:06

score 613 · Answer 7 · 2018-11-24 20:27:32

613

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Show that equality for support function of two compact convex sets implies that two sets are equal.

Published on 24 Nov 2018 - 20:27

score 158 · Answer 8 · 2018-11-25 11:16:09

158

Views

Quermass Integral

Published on 25 Nov 2018 - 11:16

score 86 · Answer 9 · 2018-11-25 22:48:50

86

Views

Test for convexity in one variable in a multivariate function

Published on 25 Nov 2018 - 22:48

score 46 · Answer 10 · 2026-03-29 07:29:06

46

Views

Is there a finite set $\mathcal{D}$ such that $E(a, b, c) = \sum_{x \in \mathcal{D}} (ax_{1}^2+bx_{1}+c-x_{2})^2$ is strongly convex?

Published on 29 Mar 2026 - 7:29

score 56 · Answer 11 · 2026-03-25 17:37:51

56

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For two polytopes $A$ and $B$, when can we find $C$ such that $A=B+C$?

Published on 25 Mar 2026 - 17:37

score 128 · Answer 12 · 2026-03-29 07:28:55

128

Views

Show that the distance of $x^\ast$ to $C$ is the maximum of distances from $x^\ast$ to closed half-spaces $H\supseteq C$

Published on 29 Mar 2026 - 7:28

score 841 · Answer 13 · 2026-03-29 07:28:31

841

Views

Equivalent Definition of Strong Convexity

Published on 29 Mar 2026 - 7:28

score 190 · Answer 14 · 2026-03-25 03:01:06

190

Views

Why is strong duality holds even though the problem is not convex?

Published on 25 Mar 2026 - 3:01

score 336 · Answer 15 · 2026-03-31 03:24:45

336

Views

Constrained Optimization problem to unconstrained problem

Published on 31 Mar 2026 - 3:24

List Question

A question about convex analysis of expectation value

Error is the Projection on the Noise - Does the intuition carry over from least squares?

Prove that the normal cone $N_{\text{gph}(f)}$ of the graph of the affine function $f$ has the given form.

What do the coefficients $\lambda$ and $1- \lambda$ represent in the convexity condition of $f$?

What does it essentially mean if the neural network has convex error surface?

Why is $\alpha^n\beta^m+\alpha^m\beta^n\le\alpha^s\beta^t+\alpha^t\beta^s$ if $(n,m)\preceq(s,t)$?

Show that equality for support function of two compact convex sets implies that two sets are equal.

Quermass Integral

Test for convexity in one variable in a multivariate function

Is there a finite set $\mathcal{D}$ such that $E(a, b, c) = \sum_{x \in \mathcal{D}} (ax_{1}^2+bx_{1}+c-x_{2})^2$ is strongly convex?

For two polytopes $A$ and $B$, when can we find $C$ such that $A=B+C$?

Show that the distance of $x^\ast$ to $C$ is the maximum of distances from $x^\ast$ to closed half-spaces $H\supseteq C$

Equivalent Definition of Strong Convexity

Why is strong duality holds even though the problem is not convex?

Constrained Optimization problem to unconstrained problem

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