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DC Programming and DCA, http://lita.sciences.univ-metz.fr/~lethi/DCA.html
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Convex analysis approach to dc programming: Theory, algorithms and applications
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Pham Dinh, T., Le Thi, H.A.: Convex analysis approach to DC programming: Theory, Algorithms and Applications. Acta Mathematica Vietnamica 22(1), 289-355 (1997)
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A dc optimization algorithm for solving the trust region subproblem
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Pham Dinh, T., Le Thi, H.A.: A DC Optimization algorithm for solving the trust region subproblem. SIAM J. Optim. 8(2), 476-505 (1998)
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SIAM J. Optim
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Solving a class of linearly constrained indefinite quadratic problems by dc algorithms
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Le Thi, H.A., Pham Dinh, T.: Solving a class of linearly constrained indefinite quadratic problems by DC Algorithms. Journal of Global Optimization 11, 253-285 (1997)
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Journal of Global Optimization
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Dc programming: Theory, algorithms and applications. the state of the art (28 pages)
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Valbonne-Sophia Antipolis, France, October 2-4
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Le Thi, H.A., Pham Dinh, T.: DC Programming: Theory, Algorithms and Applications. The State of the Art (28 pages). In: Proceedings of the First International Workshop on Global Constrained Optimization and Constraint Satisfaction (Cocos 2002), Valbonne-Sophia Antipolis, France, October 2-4 (2002)
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Proceedings of the First International Workshop on Global Constrained Optimization and Constraint Satisfaction (Cocos 2002)
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Exact penalty in dc programming
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Le Thi, H.A., Pham Dinh, T., Le, D.M.: Exact penalty in DC programming. Vietnam Journal of Mathematics 27(2), 169-178 (1999)
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Vietnam Journal of Mathematics
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Le Thi, H.A.1
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Le, D.M.3
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0013532015
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An efficient algorithm for globally minimizing a quadratic function under convex quadratic constraints
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Le Thi, H.A.: An efficient algorithm for globally minimizing a quadratic function under convex quadratic constraints. Mathematical Programming, Ser. A 87(3), 401-426 (2000)
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(2000)
Mathematical Programming, Ser. A
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Large scale global molecular optimization from distance matrices by a dc optimization appoach
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Le Thi, H.A., Pham Dinh, T.: Large scale global molecular optimization from distance matrices by a DC optimization appoach. SIAM J. Optim. 14(1), 77-116 (2003)
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Research Report, National Institute for Applied Sciences
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Le Thi, H.A., Huynh, V.N., Pham Dinh, T.: DC Programming and DCA for solving general DC programs, Research Report, National Institute for Applied Sciences (2004)
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DC Programming and DCA for Solving General DC Programs
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Le Thi, H.A.1
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10
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15244346000
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The dc (Difference of convex functions) programming and dca revisited with dc models of real-world nonconvex optimization problems
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Le Thi, H.A., Pham Dinh, T.: The DC (Difference of Convex functions) Programming and DCA revisited with DC models of real-world nonconvex optimization problems. Annals of Operations Research 133, 23-48 (2005)
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(2005)
Annals of Operations Research
, vol.133
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Le Thi, H.A.1
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84927592376
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A continuous approach for solving the concave cost supply problem by combining dca and b&b techniques
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Le Thi, H.A., Nguyen, T.P., Pham Dinh, T.: A continuous approach for solving the concave cost supply problem by combining DCA and B&B techniques. European Journal of Operational Research 183, 1001-1012 (2007)
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(2007)
European Journal of Operational Research
, vol.183
, pp. 1001-1012
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Le Thi, H.A.1
Nguyen, T.P.2
Pham Dinh, T.3
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A continuous approach for the concave cost supply problem via dc programming and dca
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Le Thi, H.A., Pham Dinh, T.: A continuous approach for the concave cost supply problem via DC Programming and DCA. Discrete Applied Mathematics 156, 325-338 (2008)
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(2008)
Discrete Applied Mathematics
, vol.156
, pp. 325-338
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Le Thi, H.A.1
Pham Dinh, T.2
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13
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78149282159
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An efficient combination of dca and b&b using dc/sdp relaxation for globally solving binary quadratic programs
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Pham Dinh, T., Nguyen, C.N., Le Thi, H.A.: An efficient combination of DCA and B&B using DC/SDP relaxation for globally solving binary quadratic programs. Journal of Global Optimization 48(4), 595-632 (2010)
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Journal of Global Optimization
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Pham Dinh, T.1
Nguyen, C.N.2
Le Thi, H.A.3
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14
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77956525932
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A dc programming approach for sparse eigenvalue problem
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Thiao, M., Pham Dinh, T., Le Thi, H.A.: A DC programming approach for Sparse Eigenvalue Problem. In: ICML 2010, pp. 1063-1070 (2010)
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ICML 2010
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84927612691
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Convergence Analysis of DC Algorithms for DC programming with subanalytic data, Research Report, National Institute for Applied Sciences, Rouen, France
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Le Thi, H.A., Huynh, V.N., Pham Dinh, T.: Convergence Analysis of DC Algorithms for DC programming with subanalytic data, Research Report, National Institute for Applied Sciences, Rouen, France (2009)
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(2009)
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Le Thi, H.A.1
Huynh, V.N.2
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84927608491
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A DC programming approach for Sparse Eigenvalue Problem, Research Report, National Institute for Applied Sciences, Rouen, France
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Thiao, M., Pham Dinh, T., Le Thi, H.A.: A DC programming approach for Sparse Eigenvalue Problem, Research Report, National Institute for Applied Sciences, Rouen, France (2011)
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Thiao, M.1
Pham Dinh, T.2
Le Thi, H.A.3
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17
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84927623216
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Approximation and Penalization of the tb-norm in DC Programming, Research Report, National Institute for Applied Sciences, Rouen, France
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Le Thi, H.A., Pham Dinh, T.: Approximation and Penalization of the tb-norm in DC Programming, Research Report, National Institute for Applied Sciences, Rouen, France (2010)
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84947201370
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0-norm, Research Report, National Institute for Applied Sciences, Rouen, France
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Le Thi, H.A., Pham Dinh, T.: DC Programming and DCA for solving nonconvex programs involving ¿0-norm, Research Report, National Institute for Applied Sciences, Rouen, France (2010)
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(2010)
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Le Thi, H.A.1
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85139379902
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Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm. Journal of Optimization Theory & Applications, 27 pages
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Le Thi, H.A., Moeini, M.: Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm. Journal of Optimization Theory & Applications, 27 pages (October 2012), doi:10.1007/s10957-012-0197-0.
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Exact penalty and error bounds in dc programming. Journal of global optimization, in memory of reiner horst
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Le Thi, H.A., Pham Dinh, T., Huynh, V.N.: Exact penalty and Error Bounds in DC programming. Journal of Global Optimization, in Memory of Reiner Horst, Founder of the Journal 52(3), 509-535 (2012)
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Founder of the Journal
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, pp. 509-535
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Exact Penalty in Mixed Integer DC Programming, Research Report, Lorraine University, France
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Le Thi, H.A., Pham Dinh, T.: Exact Penalty in Mixed Integer DC Programming, Research Report, Lorraine University, France (2011)
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(2011)
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Pham Dinh, T.2
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22
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79951509976
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Properties of two dc algorithms in quadratic programming
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Le Thi, H.A., Pham Dinh, T., Nguyen, D.Y.: Properties of two DC algorithms in quadratic programming. Journal of Global Optimization 49(3), 481-495 (2011)
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(2011)
Journal of Global Optimization
, vol.49
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, pp. 481-495
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Nguyen, D.Y.3
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24
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84862014492
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Solving eigenvalue symmetric problem by dc programming and dca
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Le Thi, H.A., Madhi, M., Pham Dinh, T., Judice, J.: Solving Eigenvalue Symmetric problem by DC programming and DCA. Journal on Computational Optimization and Applications 51(3), 1097-1117 (2012)
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(2012)
Journal on Computational Optimization and Applications
, vol.51
, Issue.3
, pp. 1097-1117
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Le Thi, H.A.1
Madhi, M.2
Pham Dinh, T.3
Judice, J.4
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25
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84856523908
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Globally solving a nonlinear uav task assignment problem by stochastic and derministic optimization approaches
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Le Thi, H.A., Nguyen, D.M., Pham Dinh, T.: Globally solving a Nonlinear UAV Task Assignment Problem by stochastic and derministic optimization approaches. Optimization Letters 6(2), 315-329 (2012)
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(2012)
Optimization Letters
, vol.6
, Issue.2
, pp. 315-329
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Nguyen, D.M.2
Pham Dinh, T.3
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26
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Behavior of dca sequences for solving the trust-region subproblem
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Le Thi, H.A., Pham Dinh, T., Nguyen, D.Y.: Behavior of DCA sequences for solving the trust-region subproblem, Journal of Global Optimization. Journal of Global Optimization 53(2), 317-329 (2012)
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Journal of Global Optimization. Journal of Global Optimization
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, pp. 317-329
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Nguyen, D.Y.3
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27
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84864652507
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Solving continuous min max problem for single period portfolio selection with discrete constraints by dca
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Le Thi, H.A., Tran Duc, Q.: Solving Continuous Min Max Problem for Single Period Portfolio Selection with Discrete Constraints by DCA. Optimization 61(8) (2012)
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(2012)
Optimization
, vol.61
, Issue.8
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Tran Duc, Q.2
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28
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84867269069
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Solving the minimum m-dominating set problem by a continuous optimization approach based on dc programming and dca
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Schleich, J., Le Thi, H.A., Bouvry, P.: Solving the Minimum m-Dominating Set problem by a Continuous Optimization Approach based on DC Programming and DCA. Journal of Combinatorial Optimization 24(4), 397-412 (2012)
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(2012)
Journal of Combinatorial Optimization
, vol.24
, Issue.4
, pp. 397-412
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Schleich, J.1
Le Thi, H.A.2
Bouvry, P.3
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29
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84859508506
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Optimizing radial basis functions by d.C. programming and its use in direct search for global derivative-free optimization
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Le Thi, H.A., Vaz, A.I.F., Vicente, L.N.: Optimizing radial basis functions by D.C. programming and its use in direct search for global derivative-free optimization. TOP 20(1), 190-214 (2012)
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(2012)
TOP
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, pp. 190-214
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Le Thi, H.A.1
Vaz, A.2
Vicente, L.N.3
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30
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84880831781
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Spherical separation by DC programming and DCA. To appear in Journal of Global Optimization, 17 pages (Online first Feabruary
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Le Thi, H.A., Le Hoai, M., Pham Dinh, T., Huynh, V.N.: Spherical separation by DC programming and DCA. To appear in Journal of Global Optimization, 17 pages (Online first Feabruary 2012), doi:10.1007/s10898-012-9859-6.
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Le Thi, H.A.1
Le Hoai, M.2
Pham Dinh, T.3
Huynh, V.N.4
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31
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84865834616
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A new decomposition algorithm for globally solving mathematical programs with affine equilibrium constraints
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Muu, L.D., Tran Dinh, Q., Le Thi, H.A., Pham Dinh, T.: A new decomposition algorithm for globally solving mathematical programs with affine equilibrium constraints. Acta Mathematica Vietnamica 37(2), 201-218 (2012)
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(2012)
Acta Mathematica Vietnamica
, vol.37
, Issue.2
, pp. 201-218
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Muu, L.D.1
Tran Dinh, Q.2
Le Thi, H.A.3
Pham Dinh, T.4
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32
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84880234389
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Efficient dc programming approaches for asymmetric eigenvalue complementarity problem
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Niu, Y.S., Pham Dinh, T., Le Thi, H.A., Judice, J.: Efficient DC Programming Approaches for Asymmetric Eigenvalue Complementarity Problem. Optimization Methods and Software 28(4), 812-829 (2013)
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(2013)
Optimization Methods and Software
, vol.28
, Issue.4
, pp. 812-829
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Niu, Y.S.1
Pham Dinh, T.2
Le Thi, H.A.3
Judice, J.4
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33
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84855525427
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.: Solving partitioning-hub location-routing problem using dca
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H.A. Le Thi, V.N. Huynh, and T. Pham Dinh Ta, A.S. Le Thi, H.A. Khadraoui, D. Pham Dinh, T.: Solving Partitioning-Hub Location-Routing Problem using DCA. Journal of Industrial and Management Optimization 8(1), 87-102 (2012)
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(2012)
Journal of Industrial and Management Optimization
, vol.8
, Issue.1
, pp. 87-102
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Le Thi, H.A.1
Huynh, V.N.2
Pham Dinh Ta, T.3
Le Thi, A.S.4
Khadraoui, H.A.5
Pham Dinh, D.6
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34
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84890144494
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A dc programming approach for a class of bilevel programming problems and its application in portfolio selection. naco numerical algebra
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Le Thi, H.A., Pham Dinh, T., Tran Duc, Q.: A DC programming approach for a class of bilevel programming problems and its application in portfolio selection. NACO Numerical Algebra, Control and Optimization 2(1), 167-185 (2012)
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(2012)
Control and Optimization
, vol.2
, Issue.1
, pp. 167-185
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Le Thi, H.A.1
Pham Dinh, T.2
Tran Duc, Q.3
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35
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84880232279
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Learning sparse classifiers with difference of convex functions algorithms
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Cheng, S.O., Le Thi, H.A.: Learning sparse classifiers with Difference of Convex functions Algorithms. Optimization Methods and Software 28(4), 830-854 (2013).
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(2013)
Optimization Methods and Software
, vol.28
, Issue.4
, pp. 830-854
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Cheng, S.O.1
Le Thi, H.A.2
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36
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84887222892
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An armijo-type method for pseudomonotone equilibrium problems and its applications
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Anh, P.N., Le Thi, H.A.: An Armijo-type method for pseudomonotone equilibrium problems and its applications. Journal of Global Optimization 57, 803-820 (2013).
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(2013)
Journal of Global Optimization
, vol.57
, pp. 803-820
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Le Thi, H.A.2
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85139379902
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Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm. Journal of Optimization Theory & Applications, 26 pages
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Le Thi, H.A., Moeini, M.: Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm. Journal of Optimization Theory & Applications, 26 pages (October 2012), doi:10.1007/s10957-012-0197-0.
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(2012)
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Le Thi, H.A.1
Moeini, M.2
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38
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84898912932
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Solving the Multidimensional Assignment Problem by a Cross-Entropy method. Journal of Combinatorial Optimization, 16 pages (Online first
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Nguyen, D.M., Le Thi, H.A., Pham Dinh, T.: Solving the Multidimensional Assignment Problem by a Cross-Entropy method. Journal of Combinatorial Optimization, 16 pages (Online first October 2012), doi:10.1007/s10878-012-9554-z.
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(2012)
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Nguyen, D.M.1
Le Thi, H.A.2
Pham Dinh, T.3
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39
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84885947360
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A deterministic optimization approach for planning a multisensor multizone search for a target
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Le Thi, H.A., Pham Dinh, T., Nguyen, D.M.: A deterministic optimization approach for planning a multisensor multizone search for a target. Computer & Operations Research 41, 231-239 (2014)
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(2014)
Computer &Amp; Operations Research
, vol.41
, pp. 231-239
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Le Thi, H.A.1
Pham Dinh, T.2
Nguyen, D.M.3
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40
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85116181899
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The Subgradient Extragradient Method Ex tended to Equilibrium Problems, Optimization (online first
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Anh, P.N., Le Thi, H.A.: The Subgradient Extragradient Method Ex tended to Equilibrium Problems, Optimization (online first December 2012), doi:10.1080/02331934.2012.745528
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(2012)
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Anh, P.N.1
Le Thi, H.A.2
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41
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84887377768
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Block clustering based on dc programming and dca
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Le Hoai, M., Le Thi, H.A., Pham Dinh, T., Huynh, V.N.: Block Clustering based on DC programming and DCA. NECO Neural Computation 25(10), 2776-2807(2013)
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(2013)
NECO Neural Computation
, vol.25
, Issue.10
, pp. 2776-2807
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Le Hoai, M.1
Le Thi, H.A.2
Pham Dinh, T.3
Huynh, V.N.4
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42
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84927655636
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New and efficient algorithms for transfer prices and inventory holding policies in two-enterprise supply chains. Journal of Global Optimization (in press)
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Le Thi, H.A., Tran Duc, Q.: New and efficient algorithms for transfer prices and inventory holding policies in two-enterprise supply chains. Journal of Global Optimization (in press)
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Le Thi, H.A.1
Tran Duc, Q.2
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43
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84927641325
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New and efficient DCA based algorithms for Minimum Sum-of-Squares Clustering. Pattern Recognition (in press)
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Le Thi, H.A., Le Hoai, M., Pham Dinh, T.: New and efficient DCA based algorithms for Minimum Sum-of-Squares Clustering. Pattern Recognition (in press)
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Le Thi, H.A.1
Le Hoai, M.2
Pham Dinh, T.3
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44
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84927602827
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DC Programming and DCA for Binary Quadratic Programming in Diversity Data Mining. To appear in Optimization
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Le Thi, H.A., Pham Dinh, T., Nguyen, C.N., Le Hoai, M.: DC Programming and DCA for Binary Quadratic Programming in Diversity Data Mining. To appear in Optimization
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Le Thi, H.A.1
Pham Dinh, T.2
Nguyen, C.N.3
Le Hoai, M.4
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45
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84927629320
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A Difference of Convex functions Algorithm for Optimal Scheduling and real-time assignment of preventive maintenance jobs on parallel processors. To appear in JIMO Journal of Industrial and Management Optimization
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Le Thi, H.A., Tran Duc, Q., Adjallah, K.H.: A Difference of Convex functions Algorithm for Optimal Scheduling and real-time assignment of preventive maintenance jobs on parallel processors. To appear in JIMO Journal of Industrial and Management Optimization
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Le Thi, H.A.1
Tran Duc, Q.2
Adjallah, K.H.3
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46
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84927594675
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Optimizing a multi-stage production/inventory system by DC programming based approaches. Computational Optimization an Applications (in press)
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An, L.T.H., Quynh, T.D.: Optimizing a multi-stage production/inventory system by DC programming based approaches. Computational Optimization an Applications (in press)
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An, L.1
Quynh, T.D.2
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47
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84927593801
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DCA based algorithms for Multiple Sequence Alignment (MSA). Central European Journal of Operations Research (in press)
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An, L.T.H., Tao, P.D., Belghiti, T.: DCA based algorithms for Multiple Sequence Alignment (MSA). Central European Journal of Operations Research (in press).
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An, L.1
Tao, P.D.2
Belghiti, T.3
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84927629270
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Recent advances in DC programming and DCA. To appear in Transactions on Computational Collective Intelligence, 37 pages
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Tao, P.D., An, L.T.H.: Recent advances in DC programming and DCA. To appear in Transactions on Computational Collective Intelligence, 37 pages (2013)
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Tao, P.D.1
An, L.2
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49
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84927667327
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DC programming in Communication Systems: challenging models and methods. To appear in Vietnam Journal of Computer Science, 21 pages. Springer (invited issue)
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An, L.T.H., Tao, P.D.: DC programming in Communication Systems: challenging models and methods. To appear in Vietnam Journal of Computer Science, 21 pages. Springer (invited issue)
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An, L.1
Tao, P.D.2
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85192404349
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Dc programming approaches for distance geometry problems
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Mucherino, A., Lavor, C., Liberti, L., Maculan, N. (eds.), Springer
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An, L.T.H., Tao, P.D.: DC programming approaches for Distance Geometry problems. In: Mucherino, A., Lavor, C., Liberti, L., Maculan, N. (eds.) Distance Geometry: Theory, Methods and Applications, vol. XVI, 57, 420 pages. Springer (2013)
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Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
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