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Gabor Pataki
Gabor Pataki
Department of Statistics and Operations Research, UNC Chapel Hill
Verified email at unc.edu - Homepage
Title
Cited by
Cited by
Year
On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues
G Pataki
Mathematics of operations research 23 (2), 339-358, 1998
4251998
The geometry of semidefinite programming
G Pataki
Handbook of semidefinite programming, 29-65, 2000
1222000
Teaching integer programming formulations using the traveling salesman problem
G Pataki
SIAM review 45 (1), 116-123, 2003
1212003
OCTANE: A new heuristic for pure 0–1 programs
E Balas, S Ceria, M Dawande, F Margot, G Pataki
Operations Research 49 (2), 207-225, 2001
1032001
Cone-LP's and semidefinite programs: Geometry and a simplex-type method
G Pataki
International Conference on Integer Programming and Combinatorial …, 1996
851996
Strong duality in conic linear programming: facial reduction and extended duals
G Pataki
Computational and analytical mathematics, 613-634, 2013
812013
A principal component analysis for trees
B Aydin, G Pataki, H Wang, E Bullitt, JS Marron
The Annals of Applied Statistics, 1597-1615, 2009
782009
On the closedness of the linear image of a closed convex cone
G Pataki
Mathematics of Operations Research 32 (2), 395-412, 2007
682007
On the generic properties of convex optimization problems in conic form
G Pataki, L Tunçel
Mathematical Programming 89 (3), 449-457, 2001
662001
Polyhedral methods for the maximum clique problem
E Balas
DI-MACS Series in Discrete Mathematics and Theoretical Computer Science, 11-28, 1996
661996
The DIMACS library of semidefinite-quadratic-linear programs
G Pataki, S Schmieta
Tech. Rep. Preliminary draft, Computational Optimization Research Center …, 2002
462002
Exact duals and short certificates of infeasibility and weak infeasibility in conic linear programming
M Liu, G Pataki
Mathematical Programming 167 (2), 435-480, 2018
432018
Bad semidefinite programs: they all look the same
G Pataki
SIAM Journal on Optimization 27 (1), 146-172, 2017
432017
Column basis reduction and decomposable knapsack problems
B Krishnamoorthy, G Pataki
Discrete Optimization 6 (3), 242-270, 2009
412009
Coordinate shadows of semidefinite and Euclidean distance matrices
D Drusvyatskiy, G Pataki, H Wolkowicz
SIAM Journal on Optimization 25 (2), 1160-1178, 2015
402015
Solving integer and disjunctive programs by lift and project
S Ceria, G Pataki
International Conference on Integer Programming and Combinatorial …, 1998
361998
A simple derivation of a facial reduction algorithm and extended dual systems
G Pataki
preprint http://www. unc. edu/~ pataki/papers/fr. pdf 19, 2000
342000
On the connection of facially exposed and nice cones
G Pataki
Journal of Mathematical Analysis and Applications 400 (1), 211-221, 2013
322013
Basis reduction and the complexity of branch-and-bound
G Pataki, M Tural, EB Wong
Proceedings of the twenty-first annual ACM-SIAM symposium on discrete …, 2010
312010
Exact duality in semidefinite programming based on elementary reformulations
M Liu, G Pataki
SIAM Journal on Optimization 25 (3), 1441-1454, 2015
302015
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