Authors: Vargas, Luis Felipe, Laurent, Monique
Contributors: Kočvara, Michal, Mourrain, Bernard, Riener, Cordian
Superior Title: Vargas , L F & Laurent , M 2023 , Copositive matrices, sums of squares and the stability number of a graph . in M Kočvara , B Mourrain & C Riener (eds) , Polynomial Optimization, Moments, and Applications . vol. 206 , Springer Optimization and its Applications , vol. 206 , Springer Cham , pp. 99-132 .
Subject Terms: polynomial optimization, sum of squares polynomial, real algebraic geometry, stable sets in graphs, copositive matrix, semidefinite optimization
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Availability:
https://research.tilburguniversity.edu/en/publications/8e471691-a452-4ee5-9f88-869cbe9ad5e5
https://pure.uvt.nl/ws/files/76247554/chaper-SOS-cop-Vargas-Laurent.pdf
https://link.springer.com/book/9783031386589
https://inria.hal.science/POEMA-BOOK/hal-04087992
Authors: Laurent, Monique, Vargas, Luis
Superior Title: Laurent , M & Vargas , L 2023 , ' Exactness of Parrilo's conic approximations for copositive matrices > > and associated low order bounds for the stability number of a graph ' , Mathematics of Operations Research , vol. 48 , no. 2 , pp. 1017-1043 . https://doi.org/10.1287/moor.2022.1290
Subject Terms: Shor relaxation, a-critical graph, copositive matrix, polynomial optimization, semidefinite programming, stable set problem, sum-of-squares polynomial
Relation: https://research.tilburguniversity.edu/en/publications/bd4cf84b-294c-4d48-8b21-da6c088ab3e4
Authors: Laurent, Monique, Slot, Lucas
Superior Title: Laurent , M & Slot , L 2023 , ' An effective version of Schmüdgen’s Positivstellensatz for the hypercube ' , Optimization Letters , vol. 17 , no. 3 , pp. 515-530 . https://doi.org/10.1007/s11590-022-01922-5
Subject Terms: Jackson kernel, Lasserre hierarchy, Polynomial kernel method, Schmudgen's Positivstellensatz, Semidefinite programming, Sum-of-squares polynomials
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/1601205f-e771-4cb5-98ce-2b701fbcde9f
Authors: Korda, Milan, Laurent, Monique, Magron, Victor, Steenkamp, Andries
Superior Title: Korda , M , Laurent , M , Magron , V & Steenkamp , A 2023 , ' Exploiting ideal-sparsity in the generalized moment problem with application to matrix factorization ranks ' , Mathematical Programming . https://doi.org/10.1007/s10107-023-01993-x
Subject Terms: Completely positive rank, Generalized moment problem, Matrix factorization rank, Nonnegative rank, Polynomial optimization, Semidefinite programming, Sparsity
Relation: https://research.tilburguniversity.edu/en/publications/944b4c68-d440-40df-892c-454b9674b324
Authors: Kirschner, Felix, de Klerk, Etienne
Superior Title: Kirschner , F & de Klerk , E 2023 , ' Construction of multivariate polynomial approximation kernels via semidefinite programming ' , SIAM Journal on Optimization , vol. 33 , no. 2 , pp. 513 - 537 . https://doi.org/10.1137/22M1494476
Subject Terms: polynomial kernel method, semidefinite programming, symmetry reduction
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/9b1d01ec-074f-404f-a8d0-6abdc7f0b127
Authors: Slot, Lucas, Laurent, Monique
Superior Title: Slot , L & Laurent , M 2022 , ' Improved convergence analysis of Lasserre's measure-based upper bounds for polynomial minimization on compact sets ' , Mathematical Programming , vol. 193 , no. 2 , pp. 831-871 . https://doi.org/10.1007/s10107-020-01468-3
Subject Terms: polynomial optimization, sum-of-squares polynomial, Lasserre hierarchy, semidefinite programming, needle polynomial
Relation: https://research.tilburguniversity.edu/en/publications/678accfa-ae60-46d1-a402-28d186bb2cd3
Authors: Laurent, Monique, Vargas, Luis Felipe
Superior Title: Laurent , M & Vargas , L F 2022 , ' Finite convergence of sum-of-squares hierarchies for the stability number of a graph ' , SIAM Journal on Optimization , vol. 32 , no. 2 , pp. 491-518 . https://doi.org/10.1137/21M140345X
Subject Terms: Lasserre hierarchy, Motzkin-Straus formulation, \alpha -critical graph, copositive programming, finite convergence, polynomial optimization, semidefinite programming, stable set problem, standard quadratic programming, sum-of-squares polynomial
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/3998b864-7504-4cf4-bc1d-f5105125e7c6
Authors: de Klerk, Etienne, Laurent, Monique
Superior Title: de Klerk , E & Laurent , M 2022 , ' Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere ' , Mathematical Programming , vol. 193 , no. 2 , pp. 665-685 . https://doi.org/10.1007/s10107-019-01465-1
Subject Terms: polynomial optimization on sphere, Lasserre hierarchy, semidefinite programming, generalized eigenvalue problem
Relation: https://research.tilburguniversity.edu/en/publications/172289bf-dfda-471a-9c01-a50f7a9548c2
Superior Title: van Beurden , J , van Veldhoven , M & van de Voorde , K 2022 , ' A needs–supplies fit perspective on employee perceptions of HR practices and their relationship with employee outcomes ' , Human Resource Management Journal , vol. 32 , no. 4 , pp. 928-948 . https://doi.org/10.1111/1748-8583.12449
Subject Terms: ENGAGEMENT, IMPACT, INVESTMENT, JOB, METAANALYSIS, ORGANIZATION, PERFORMANCE WORK SYSTEMS, PERSON-ENVIRONMENT FIT, POLYNOMIAL REGRESSION, PROACTIVE BEHAVIOR, effectiveness of HR practices, employee perceptions of HR practices, needs-supplies fit, proactive work behaviour
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/e0512ec9-8ef0-40ac-a996-d3fac45260dc
Authors: Kirschner, Felix, de Klerk, Etienne
Superior Title: Kirschner , F & de Klerk , E 2022 , ' Convergence rates of RLT and Lasserre-type hierarchies for the generalized moment problem over the simplex and the sphere ' , Optimization Letters , vol. 16 , no. 8 , pp. 2191–2208 . https://doi.org/10.1007/s11590-022-01851-3
Subject Terms: Generalized moment problem with polynomials, Linear programming hierarchies, Semidefinite programming hierarchies
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/3c225e7f-ae4a-4c75-8921-4babdb1af93b
Authors: Slot, Lucas, Laurent, Monique
Superior Title: Slot , L & Laurent , M 2021 , ' Near-optimal analysis of Lasserre’s univariate measure-based bounds for multivariate polynomial optimization ' , Mathematical Programming , vol. 188 , no. 2 , pp. 443-460 . https://doi.org/10.1007/s10107-020-01586-y
Subject Terms: Lasserre hierarchy, sum-of-squares polynomial, semidefinite optimization, convergence analysis, orthogonal polynomials, needle polynomial
Relation: https://research.tilburguniversity.edu/en/publications/ce8ae0f2-d190-4b7c-aa7b-450986dbe81e
Authors: de Klerk, Etienne, Laurent, Monique
Superior Title: de Klerk , E & Laurent , M 2020 , ' Worst-case examples for Lasserre's measure-based hierarchy for polynomial optimization on the hypercube ' , Mathematics of Operations Research , vol. 45 , no. 1 , pp. 86-98 . https://doi.org/10.1287/moor.2018.0983
Subject Terms: polynomial optimization, semidefinite optimization, Lasserre hierarchy, extremal roots of orthogonal polynomials, Jacobi polynomials
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/a939e3b3-0361-42c9-8263-07408ef8c306
Authors: Slot, Lucas, Laurent, Monique
Superior Title: Slot , L & Laurent , M 2023 , ' Sum-of-squares hierarchies for binary polynomial optimization ' , Mathematical Programming , vol. 197 , pp. 621-660 . https://doi.org/10.1007/s10107-021-01745-9
Subject Terms: Binary polynomial optimization, Lasserre hierarchy, Sum-of-squares polynomials, Fourier analysis, Krawtchouk polynomials, Polynomial kernels, Semidefinite programming, Polynomial matrices, RELAXATIONS, CUT, REPRESENTATIONS, COMPLEXITY, MATRICES
Relation: https://research.tilburguniversity.edu/en/publications/338b9ae7-ffde-4b57-a5ba-4cae7e27026f
Authors: Ahmadi, Amirali, de Klerk, Etienne, Hall, Georgina
Superior Title: Ahmadi , A , de Klerk , E & Hall , G 2019 , ' Polynomial norms ' , SIAM Journal on Optimization , vol. 29 , no. 1 , pp. 399–422 . https://doi.org/10.1137/18M1172843
Subject Terms: polynomial norms, sum of squares, polynomials, convex polynomials, semidefinitie programming
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/2122ab0c-1f80-4735-962c-cf15128611c9
Authors: Haemers, Willem H., Oboudi, Mohammad Reza
Superior Title: Haemers , W H & Oboudi , M R 2020 , ' Universal spectra of the disjoint union of regular graphs ' , Linear Algebra and its Applications , vol. 606 , pp. 244-248 . https://doi.org/10.1016/j.laa.2020.07.033
Subject Terms: Characteristic polynomial, Graph spectrum, Laplacian, Seidel matrix, Signless Laplacian, Universal adjacency matrix
Relation: https://research.tilburguniversity.edu/en/publications/13d8b663-b7dc-4ec0-a344-d15a17a1841d
Authors: Slot, Lucas
Superior Title: Slot , L 2022 , ' Sum-of-squares hierarchies for polynomial > optimization and the Christoffel-Darboux kernel ' , SIAM Journal on Optimization , vol. 32 , no. 4 , pp. 2612-2635 . https://doi.org/10.1137/21M1458338
Subject Terms: Christoffel-Darboux kernel, Positivstellensatz, polynomial kernel method, polynomial optimization, sum-of-squares hierarchy
Relation: https://research.tilburguniversity.edu/en/publications/be506de2-b279-4f85-987b-4fefd3cd42fb
Authors: de Klerk, Etienne, Hess, Roxana, Laurent, Monique
Superior Title: de Klerk , E , Hess , R & Laurent , M 2017 , ' Improved convergence rates for Lasserre-type hierarchies of upper bounds for box-constrained polynomial optimization ' , SIAM Journal on Optimization , vol. 27 , no. 1 , pp. 346-367 . https://doi.org/10.1137/16M1065264
Subject Terms: box-constrained global optimization, polynomial optimization, Jackson kernel, semidefinite programming, generalized eigenvalue problem, sum-of-squares polynomial
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/66281fb7-02b8-4d87-930b-02edce18e6c2
Authors: Gribling, Sander, de Laat, David, Laurent, Monique
Superior Title: Gribling , S , de Laat , D & Laurent , M 2018 , ' Bounds on entanglement dimensions and quantum graph parameters via noncommutative polynomial optimization ' , Mathematical Programming , vol. 170 , no. 1 , pp. 5-42 . https://doi.org/10.1007/s10107-018-1287-z
Subject Terms: entanglement dimension, polynomial optimization, quantum graph parameters, quantum correlations
Relation: https://research.tilburguniversity.edu/en/publications/6b1a6483-3f75-4661-b808-f30735b964ab
Authors: van Dam, Edwin R., Koolen, Jack H., Tanaka, Hajime
Superior Title: van Dam , E R , Koolen , J H & Tanaka , H 2016 , ' Distance-regular graphs ' , Electronic Journal of Combinatorics , vol. Dynamic Surveys , DS22 , pp. 1-156 . < http://www.combinatorics.org/ojs/index.php/eljc/article/view/DS22 >
Subject Terms: distance-regular graph, survey, association scheme, P-polynomial, Q-polynomial, geometric
File Description: application/pdf
Relation: https://research.tilburguniversity.edu/en/publications/37c32fa8-43f9-4346-99a0-06a4acb2a6a6
Availability:
https://research.tilburguniversity.edu/en/publications/37c32fa8-43f9-4346-99a0-06a4acb2a6a6
https://pure.uvt.nl/ws/files/13675191/Distance_regular_graphs_ERvan_Dam.pdf
http://www.combinatorics.org/ojs/index.php/eljc/article/view/DS22
http://www.combinatorics.org/ojs/index.php/eljc/article/view/DS22/pdf
Authors: Gribling, Sander, Laurent, Monique, Steenkamp, Andries
Superior Title: Gribling , S , Laurent , M & Steenkamp , A 2022 , ' Bounding the separable rank via polynomial optimization ' , Linear Algebra and its Applications , vol. 648 , pp. 1-55 . https://doi.org/10.1016/j.laa.2022.04.010
Subject Terms: Approximation hierarchies, Completely positive rank, Entanglement, Matrix factorization ranks, Polynomial optimization, Separable rank
Relation: https://research.tilburguniversity.edu/en/publications/efb33fde-409c-4d1b-9314-78aa3bb35f61