Practical applications of semidefinite programming Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Write $(x^2 + y^2 + z^2)^2 - 3 ( x^3 y + y^3 z + z^3 x)$ as a sum of (three) squares of quadratic formsBook recommendation on Applied Integer Programming/Combinatorial Optimization/ORType theory as foundationsformulating the dual for an instance of a SOCP with linear constraintsWhat is the importance of the maximum determinant PSD completion?Spectral norm minimization via semidefinite programmingBooks on Chemical Reaction TheoryProof of Strong Duality theorem for semidefinite programs vis Farkas LemmaBuilding the model for a Linear Programming ProblemSemidefinite relaxation for QCQP with nonconvex “homogeneous” constraintsMinimize using semidefinite programming
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Practical applications of semidefinite programming
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Write $(x^2 + y^2 + z^2)^2 - 3 ( x^3 y + y^3 z + z^3 x)$ as a sum of (three) squares of quadratic formsBook recommendation on Applied Integer Programming/Combinatorial Optimization/ORType theory as foundationsformulating the dual for an instance of a SOCP with linear constraintsWhat is the importance of the maximum determinant PSD completion?Spectral norm minimization via semidefinite programmingBooks on Chemical Reaction TheoryProof of Strong Duality theorem for semidefinite programs vis Farkas LemmaBuilding the model for a Linear Programming ProblemSemidefinite relaxation for QCQP with nonconvex “homogeneous” constraintsMinimize using semidefinite programming
$begingroup$
I am looking for practical applications of semidefinite- programming. So far, I found that the low-rank matrix completion problem (recomendendattion matrices) can be expressed as a semidefinite program. The same goes for the combinatorial problem MAX-CUT.
- What is a practical applications of the MAX-CUT problem?
- What would be a third practical applications of semidefinite programming?
Would be nice if anyone could recommend any references. Thanks.
reference-request optimization convex-optimization applications semidefinite-programming
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
asked Apr 1 at 18:07
P.MüllerP.Müller
111
$endgroup$
|
show 2 more comments
$begingroup$
I am looking for practical applications of semidefinite- programming. So far, I found that the low-rank matrix completion problem (recomendendattion matrices) can be expressed as a semidefinite program. The same goes for the combinatorial problem MAX-CUT.
- What is a practical applications of the MAX-CUT problem?
- What would be a third practical applications of semidefinite programming?
Would be nice if anyone could recommend any references. Thanks.
reference-request optimization convex-optimization applications semidefinite-programming
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
asked Apr 1 at 18:07
P.MüllerP.Müller
111
$endgroup$
1
$begingroup$
Do they use semidefinite programming in industry?
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:49
1
$begingroup$
One application is determining whether a polynomial can be expressed as a sum of squares. Take a look at this.
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:51
1
$begingroup$
If you haven't already read Boyd and Vandenberghe, it discusses a bunch of applications of SDPs (including in the exercises and the additional exercises).
$endgroup$
– littleO
Apr 2 at 9:19
$begingroup$
I've looked into Boyd and Vandenberghe. Problem is, these problems are convex or quasiconvex and since semidef. problems are just a subfield, things dont really fit. Or am I wrong here?
$endgroup$
– P.Müller
Apr 3 at 4:12
$begingroup$
@Rodrigo the sum of squares is quite interesting. I read math.stackexchange.com/questions/2410994/… . How would I have to choose A_i if I want to transform min tr(Q) s.t. A(Q)=b,Q⪰O to the standard sdp form min tr(C,Q) s.t. Q⪰O ,tr(A_i,Q)=b_i .
$endgroup$
– P.Müller
Apr 3 at 4:49
|
show 2 more comments
$begingroup$
I am looking for practical applications of semidefinite- programming. So far, I found that the low-rank matrix completion problem (recomendendattion matrices) can be expressed as a semidefinite program. The same goes for the combinatorial problem MAX-CUT.
- What is a practical applications of the MAX-CUT problem?
- What would be a third practical applications of semidefinite programming?
Would be nice if anyone could recommend any references. Thanks.
reference-request optimization convex-optimization applications semidefinite-programming
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
asked Apr 1 at 18:07
P.MüllerP.Müller
111
$endgroup$
I am looking for practical applications of semidefinite- programming. So far, I found that the low-rank matrix completion problem (recomendendattion matrices) can be expressed as a semidefinite program. The same goes for the combinatorial problem MAX-CUT.
- What is a practical applications of the MAX-CUT problem?
- What would be a third practical applications of semidefinite programming?
Would be nice if anyone could recommend any references. Thanks.
reference-request optimization convex-optimization applications semidefinite-programming
reference-request optimization convex-optimization applications semidefinite-programming
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
asked Apr 1 at 18:07
P.MüllerP.Müller
111
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
asked Apr 1 at 18:07
P.MüllerP.Müller
111
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
edited Apr 2 at 6:48
Rodrigo de Azevedo
13.2k41961
13.2k41961
asked Apr 1 at 18:07
P.MüllerP.Müller
111
asked Apr 1 at 18:07
P.MüllerP.Müller
111
asked Apr 1 at 18:07
P.MüllerP.Müller
111
111
1
$begingroup$
Do they use semidefinite programming in industry?
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:49
1
$begingroup$
One application is determining whether a polynomial can be expressed as a sum of squares. Take a look at this.
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:51
1
$begingroup$
If you haven't already read Boyd and Vandenberghe, it discusses a bunch of applications of SDPs (including in the exercises and the additional exercises).
$endgroup$
– littleO
Apr 2 at 9:19
$begingroup$
I've looked into Boyd and Vandenberghe. Problem is, these problems are convex or quasiconvex and since semidef. problems are just a subfield, things dont really fit. Or am I wrong here?
$endgroup$
– P.Müller
Apr 3 at 4:12
$begingroup$
@Rodrigo the sum of squares is quite interesting. I read math.stackexchange.com/questions/2410994/… . How would I have to choose A_i if I want to transform min tr(Q) s.t. A(Q)=b,Q⪰O to the standard sdp form min tr(C,Q) s.t. Q⪰O ,tr(A_i,Q)=b_i .
$endgroup$
– P.Müller
Apr 3 at 4:49
|
show 2 more comments
1
$begingroup$
Do they use semidefinite programming in industry?
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:49
1
$begingroup$
One application is determining whether a polynomial can be expressed as a sum of squares. Take a look at this.
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:51
1
$begingroup$
If you haven't already read Boyd and Vandenberghe, it discusses a bunch of applications of SDPs (including in the exercises and the additional exercises).
$endgroup$
– littleO
Apr 2 at 9:19
$begingroup$
I've looked into Boyd and Vandenberghe. Problem is, these problems are convex or quasiconvex and since semidef. problems are just a subfield, things dont really fit. Or am I wrong here?
$endgroup$
– P.Müller
Apr 3 at 4:12
$begingroup$
@Rodrigo the sum of squares is quite interesting. I read math.stackexchange.com/questions/2410994/… . How would I have to choose A_i if I want to transform min tr(Q) s.t. A(Q)=b,Q⪰O to the standard sdp form min tr(C,Q) s.t. Q⪰O ,tr(A_i,Q)=b_i .
$endgroup$
– P.Müller
Apr 3 at 4:49
1
1
$begingroup$
Do they use semidefinite programming in industry?
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:49
$begingroup$
Do they use semidefinite programming in industry?
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:49
1
1
$begingroup$
One application is determining whether a polynomial can be expressed as a sum of squares. Take a look at this.
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:51
$begingroup$
One application is determining whether a polynomial can be expressed as a sum of squares. Take a look at this.
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:51
1
1
$begingroup$
If you haven't already read Boyd and Vandenberghe, it discusses a bunch of applications of SDPs (including in the exercises and the additional exercises).
$endgroup$
– littleO
Apr 2 at 9:19
$begingroup$
If you haven't already read Boyd and Vandenberghe, it discusses a bunch of applications of SDPs (including in the exercises and the additional exercises).
$endgroup$
– littleO
Apr 2 at 9:19
$begingroup$
I've looked into Boyd and Vandenberghe. Problem is, these problems are convex or quasiconvex and since semidef. problems are just a subfield, things dont really fit. Or am I wrong here?
$endgroup$
– P.Müller
Apr 3 at 4:12
$begingroup$
I've looked into Boyd and Vandenberghe. Problem is, these problems are convex or quasiconvex and since semidef. problems are just a subfield, things dont really fit. Or am I wrong here?
$endgroup$
– P.Müller
Apr 3 at 4:12
$begingroup$
@Rodrigo the sum of squares is quite interesting. I read math.stackexchange.com/questions/2410994/… . How would I have to choose A_i if I want to transform min tr(Q) s.t. A(Q)=b,Q⪰O to the standard sdp form min tr(C,Q) s.t. Q⪰O ,tr(A_i,Q)=b_i .
$endgroup$
– P.Müller
Apr 3 at 4:49
$begingroup$
@Rodrigo the sum of squares is quite interesting. I read math.stackexchange.com/questions/2410994/… . How would I have to choose A_i if I want to transform min tr(Q) s.t. A(Q)=b,Q⪰O to the standard sdp form min tr(C,Q) s.t. Q⪰O ,tr(A_i,Q)=b_i .
$endgroup$
– P.Müller
Apr 3 at 4:49
|
show 2 more comments
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1
$begingroup$
Do they use semidefinite programming in industry?
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:49
1
$begingroup$
One application is determining whether a polynomial can be expressed as a sum of squares. Take a look at this.
$endgroup$
– Rodrigo de Azevedo
Apr 2 at 6:51
1
$begingroup$
If you haven't already read Boyd and Vandenberghe, it discusses a bunch of applications of SDPs (including in the exercises and the additional exercises).
$endgroup$
– littleO
Apr 2 at 9:19
$begingroup$
I've looked into Boyd and Vandenberghe. Problem is, these problems are convex or quasiconvex and since semidef. problems are just a subfield, things dont really fit. Or am I wrong here?
$endgroup$
– P.Müller
Apr 3 at 4:12
$begingroup$
@Rodrigo the sum of squares is quite interesting. I read math.stackexchange.com/questions/2410994/… . How would I have to choose A_i if I want to transform min tr(Q) s.t. A(Q)=b,Q⪰O to the standard sdp form min tr(C,Q) s.t. Q⪰O ,tr(A_i,Q)=b_i .
$endgroup$
– P.Müller
Apr 3 at 4:49