1d
comment Show convexity of the quadratic function
The first three inequalities should be inverse.
1d
accepted Do there exist $a,b,c,d,e,f$ such that $ax^2+by^2+cxy+dx+ey+f > 0 \quad\forall 0<x\le 1, 0< y\le 1$ and...
1d
accepted Python: significant difference in performance between local installation and virtual environment
1d
comment Do there exist $a,b,c,d,e,f$ such that $ax^2+by^2+cxy+dx+ey+f > 0 \quad\forall 0<x\le 1, 0< y\le 1$ and...
Sorry I haven't been aware of your modifications because I didn't receive any notifications (you should have mentioned me or something). I'll check your answer in a few hours and get back. Thanks!
1d
asked OpenCV: How to do Delaunay Triangulation and return an adjacency matrix?
2d
comment Strange IP address appended to my website's domain
@StephenOstermiller: Agreed. Thanks.
Feb
10
comment Do there exist $a,b,c,d,e,f$ such that $ax^2+by^2+cxy+dx+ey+f > 0 \quad\forall 0<x\le 1, 0< y\le 1$ and...
Sorry there's a typo, it should be $a+b+c+d+e+f \le 1$.
Feb
10
revised Do there exist $a,b,c,d,e,f$ such that $ax^2+by^2+cxy+dx+ey+f > 0 \quad\forall 0<x\le 1, 0< y\le 1$ and...
correction
Feb
10
answered Optimizing the area of a rectangle with one side against a wall using the am-gm inequality
Feb
10
asked Do there exist $a,b,c,d,e,f$ such that $ax^2+by^2+cxy+dx+ey+f > 0 \quad\forall 0<x\le 1, 0< y\le 1$ and...
Feb
9
comment Wordpress: move sidebar menu to the bottom
Thanks, @jpganz18. I will give it a try if I cannot find simpler solutions.
Feb
9
comment Wordpress: move sidebar menu to the bottom
Thanks, Souljacker. This actually moved the sidebar to the bottom but it's ugly. Could you please see my update?
Feb
9
revised Wordpress: move sidebar menu to the bottom
update
Feb
9
comment Wordpress: move sidebar menu to the bottom
@j08691: Yes I'm aware of what you say but I don't have any idea on what code to put in the answer (any suggestions?), because to find a solution we need to inspect the page anyway.
Feb
9
asked Wordpress: move sidebar menu to the bottom
Feb
8
comment Relaxed quadratic pseudo-boolean optimization
Hi Johan. I have encountered a problem and remembered your answer because it's related. Could you please provide me with references on the above continuous relaxation? I think (but might be wrong) it's not a very good relaxation since it favors fractional solutions (if $\lambda_i$ is large enough then $x_i$ cannot be $0$ or $1$, it's preferably 0.5 actually, which is not good). Thanks.
Feb
8
comment Understanding the conditions for which ADMM can be applied
Yes, on $\mathbb{R}^n$ the two sets of conditions are the same. However, the latter can be applied to closed sets and I believe this does not affect the convergence properties. I'll try to prove it and get back.
Feb
7
comment Understanding the conditions for which ADMM can be applied
I think I have found an answer. More general optimality conditions are stated in Definition 16 (page 14) of this paper: optimization-online.org/DB_FILE/2015/06/4954.pdf. And yes convergence guarantee is preserved if we solved the constrained problems at each iteration (even if the constraint sets are closed).
Feb
7
comment Understanding ADMM: how is it applied to this particular problem?
@Rahul: I think I have found an answer. The general optimality conditions are stated in Definition 16 (page 14) of this paper: optimization-online.org/DB_FILE/2015/06/4954.pdf
Feb
7
comment Understanding ADMM: how is it applied to this particular problem?
@Rahul: Yes by this we can get rid of the sets, but ADMM should also work with my formulation, right? In this paper for example: optimization-online.org/DB_FILE/2015/06/4951.pdf, they stated ADMM with closed convex sets too, instead of $\mathbb{R}^n$.
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