Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified...
28 KB (4,694 words) - 02:12, 28 February 2024
Quantum optimization algorithms (redirect from Quantum semidefinite programming)
(1997). "An exact duality theory for semidefinite programming and its complexity implications". Mathematical Programming. 77: 129–162. doi:10.1007/BF02614433...
24 KB (3,458 words) - 14:55, 22 June 2024
point methods and in general, can be solved more efficiently than semidefinite programming (SDP) problems. Some engineering applications of SOCP include filter...
10 KB (1,406 words) - 08:44, 26 January 2024
Conic optimization (redirect from Conic programming)
known classes of convex optimization problems, namely linear and semidefinite programming. Given a real vector space X, a convex, real-valued function f...
3 KB (455 words) - 23:36, 6 December 2023
(2019-02-04). "Exact semidefinite formulations for a class of (random and non-random) nonconvex quadratic programs". Mathematical Programming. 181: 1–17. arXiv:1802...
6 KB (674 words) - 00:15, 26 January 2024
Unfolding (MVU), also known as Semidefinite Embedding (SDE), is an algorithm in computer science that uses semidefinite programming to perform non-linear dimensionality...
9 KB (1,572 words) - 13:42, 14 October 2023
Convex optimization (redirect from Convex programming)
a convex quadratic function. Second order cone programming are more general. Semidefinite programming are more general. Conic optimization are even more...
30 KB (3,097 words) - 23:17, 1 July 2024
channels. Although the diamond norm can be efficiently computed via semidefinite programming, it is in general difficult to obtain analytical expressions and...
5 KB (782 words) - 20:58, 9 March 2024
Definite matrix (redirect from Positive-semidefinite matrix)
{x} ^{\top }N\mathbf {x} \geq 0~.} This property guarantees that semidefinite programming problems converge to a globally optimal solution. The positive-definiteness...
50 KB (8,509 words) - 10:50, 9 June 2024
Goemans, Michel X. (1997-10-01). "Semidefinite programming in combinatorial optimization". Mathematical Programming. 79 (1): 143–161. doi:10.1007/BF02614315...
10 KB (1,438 words) - 19:29, 18 May 2024
penalized matrix decomposition framework, a convex relaxation/semidefinite programming framework, a generalized power method framework an alternating...
16 KB (2,239 words) - 00:15, 20 June 2024
Interior-point method (section Semidefinite programs)
O((k+m)1/2[mk2+k3+n3]). Interior point methods can be used to solve semidefinite programs.: Sec.11 Affine scaling Augmented Lagrangian method Chambolle-Pock...
30 KB (4,646 words) - 21:54, 13 June 2024
for k-nearest neighbor classification. The algorithm is based on semidefinite programming, a sub-class of convex optimization. The goal of supervised learning...
10 KB (1,428 words) - 19:49, 12 June 2024
stopping problems Oriented matroid Quadratic programming, a superset of linear programming Semidefinite programming Shadow price Simplex algorithm, used to...
61 KB (6,672 words) - 00:02, 29 June 2024
Gram matrix (section Positive-semidefiniteness)
L. E.; Jordan, M. I. (2004). "Learning the kernel matrix with semidefinite programming". Journal of Machine Learning Research. 5: 27–72 [p. 29]. Horn...
14 KB (2,683 words) - 08:28, 2 May 2024
optimization is also known as the Lasserre hierarchy of relaxations in semidefinite programming. Sum-of-squares optimization techniques have been applied across...
16 KB (2,685 words) - 13:09, 11 June 2024
approximation ratio is a method by Goemans and Williamson using semidefinite programming and randomized rounding that achieves an approximation ratio α...
22 KB (2,800 words) - 07:22, 9 May 2024
approximation ratio using semidefinite programming. Note that min-cut and max-cut are not dual problems in the linear programming sense, even though one...
10 KB (1,132 words) - 22:12, 9 January 2024
technique for casting this problem as a semidefinite programming problem. Unfortunately, semidefinite programming solvers have a high computational cost...
49 KB (6,124 words) - 00:43, 8 June 2024
Ramana, Motakuri; Goldman, A. J. (1995), "Some geometric results in semidefinite programming", Journal of Global Optimization, 7 (1): 33–50, CiteSeerX 10.1...
2 KB (264 words) - 23:31, 12 May 2024
optimization problems, and the first to make a systematic study of semidefinite programming (SDP). Also in this book, they introduced the self-concordant functions...
7 KB (522 words) - 03:03, 29 November 2023
Nemirovski. Semidefinite programming Spectrahedron Finsler's lemma Y. Nesterov and A. Nemirovsky, Interior Point Polynomial Methods in Convex Programming. SIAM...
2 KB (334 words) - 01:51, 28 April 2024
popular relaxations include the following. Linear programming relaxations Semidefinite programming relaxations Primal-dual methods Dual fitting Embedding...
23 KB (3,127 words) - 15:02, 18 June 2024
approximations to this number can be computed in polynomial time by semidefinite programming and the ellipsoid method. The Lovász number of the complement of...
15 KB (2,120 words) - 11:09, 28 January 2024
conic quadratic (a.k.a. Second-order cone programming) and semi-definite (aka. semidefinite programming), which the software is considerably efficient...
4 KB (380 words) - 12:56, 29 June 2024
(optimization) Semidefinite programming Relaxation (approximation) Gärtner, Bernd; Matoušek, Jiří (2006). Understanding and Using Linear Programming. Berlin:...
28 KB (4,278 words) - 00:01, 29 June 2024
Mittelmann, Hans D.; Vallentin, Frank (2010). "High accuracy semidefinite programming bounds for kissing numbers". Experimental Mathematics. 19 (2):...
17 KB (2,144 words) - 07:45, 3 July 2024
journal requires |journal= (help) So, Anthony Man-Cho (2007). A Semidefinite Programming Approach to the Graph Realization Problem: Theory, Applications...
48 KB (7,645 words) - 04:03, 18 April 2024
problem the best approximation ratio is given by a certain simple semidefinite programming instance, which is in particular polynomial. In 2010, Prasad Raghavendra...
24 KB (2,599 words) - 21:29, 2 March 2024
in polynomial-time, it follows that QRG ⊆ EXP. Min-max theorem Semidefinite programming QIP (complexity) Gutoski, G; Watrous J (2007). "Toward a general...
18 KB (3,254 words) - 14:40, 27 March 2024