Search Results - DC (Difference of Convex functions) programming and DCA (DC Algorithms)

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  1. 1

    The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems by An, Le Thi Hoai, Tao, Pham Dinh

    ISSN: 0254-5330, 1572-9338
    Published: New York Springer Nature B.V 01.01.2005
    Published in Annals of operations research (01.01.2005)
    “…The DC programming and its DC algorithm (DCA) address the problem of minimizing a function f=g-h…”
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    Journal Article
  2. 2

    The Boosted DC Algorithm for Linearly Constrained DC Programming by Aragón-Artacho, F. J., Campoy, R., Vuong, P. T.

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.12.2022
    Published in Set-valued and variational analysis (01.12.2022)
    “…The Boosted Difference of Convex functions Algorithm (BDCA) has been recently introduced to accelerate the performance of the classical Difference of Convex functions Algorithm (DCA…”
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  3. 3

    Block clustering based on difference of convex functions (DC) programming and DC algorithms by Le, Hoai Minh, Le Thi, Hoai An, Dinh, Tao Pham, Huynh, Van Ngai

    ISSN: 1530-888X, 1530-888X
    Published: United States 01.10.2013
    Published in Neural computation (01.10.2013)
    “…We investigate difference of convex functions (DC) programming and the DC algorithm (DCA…”
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  4. 4

    Online Stochastic DCA With Applications to Principal Component Analysis by Le Thi, Hoai An, Luu, Hoang Phuc Hau, Dinh, Tao Pham

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 01.05.2024
    “… In this article, we study nonsmooth stochastic Difference-of-Convex functions (DC) programs-the major class of nonconvex stochastic optimization, which have a variety of applications in divers domains, in particular, machine learning…”
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  5. 5

    Solving a continuous multifacility location problem by DC algorithms by Bajaj, Anuj, Mordukhovich, Boris S., Nam, Nguyen Mau, Tran, Tuyen

    ISSN: 1055-6788, 1029-4937
    Published: Abingdon Taylor & Francis 02.01.2022
    Published in Optimization methods & software (02.01.2022)
    “…The paper presents a new approach to solve multifacility location problems, which is based on mixed integer programming and algorithms for minimizing differences of convex (DC) functions…”
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  6. 6

    Feature selection for linear SVMs under uncertain data: Robust optimization based on difference of convex functions algorithms by Le Thi, Hoai An, Vo, Xuan Thanh, Pham Dinh, Tao

    ISSN: 0893-6080, 1879-2782, 1879-2782
    Published: Kidlington Elsevier Ltd 01.11.2014
    Published in Neural networks (01.11.2014)
    “… The difficulty in treating ℓ0-norm in feature selection problem is overcome by using appropriate approximations and Difference of Convex functions (DC…”
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  7. 7

    A Difference of Convex Functions Algorithm for Switched Linear Regression by Tao Pham Dinh, Hoai Minh Le, Hoai An Le Thi, Lauer, Fabien

    ISSN: 0018-9286, 1558-2523
    Published: New York IEEE 01.08.2014
    Published in IEEE transactions on automatic control (01.08.2014)
    “… minimized. The technical note proposes a new approach to the optimization of this nonsmooth and nonconvex objective function, which relies on Difference of Convex (DC…”
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  8. 8

    A boosted DC algorithm for non-differentiable DC components with non-monotone line search by Ferreira, O. P., Santos, E. M., Souza, J. C. O.

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.07.2024
    “…We introduce a new approach to apply the boosted difference of convex functions algorithm (BDCA…”
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  9. 9

    Universum parametric-margin ν-support vector machine for classification using the difference of convex functions algorithm by Moosaei, Hossein, Bazikar, Fatemeh, Ketabchi, Saeed, Hladík, Milan

    ISSN: 0924-669X, 1573-7497
    Published: New York Springer US 01.02.2022
    “… -SVM, which is a nonconvex optimization problem, is transformed into an unconstrained optimization problem so that the objective function can be treated as a difference of two convex functions (DC…”
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  10. 10

    Difference of convex functions algorithms (DCA) for image restoration via a Markov random field model by Le Thi, Hoai An, Pham Dinh, Tao

    ISSN: 1389-4420, 1573-2924
    Published: New York Springer US 01.12.2017
    Published in Optimization and engineering (01.12.2017)
    “… (also known as half-quadratic) prior. For this aim, we use the difference of convex functions (DC…”
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  11. 11

    A difference-of-convex functions approach for sparse PDE optimal control problems with nonconvex costs by Merino, Pedro

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.09.2019
    “… (difference of convex functions) that is useful to obtain necessary optimality conditions and tackle its numerical solution by applying the well known DC algorithm used in nonconvex optimization problems…”
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  12. 12

    Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm by Le Thi, Hoai An, Moeini, Mahdi

    ISSN: 0022-3239, 1573-2878
    Published: Boston Springer US 01.04.2014
    “… Attempting to use DC (Difference of Convex functions) programming and DCA (DC Algorithms), an efficient approach in non-convex programming framework…”
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  13. 13

    Self-organizing maps by difference of convex functions optimization by Le Thi, Hoai An, Nguyen, Manh Cuong

    ISSN: 1384-5810, 1573-756X
    Published: Boston Springer US 01.09.2014
    Published in Data mining and knowledge discovery (01.09.2014)
    “…). We consider SOM as an optimization problem with a nonsmooth, nonconvex energy function and investigated DC programming and DC algorithm (DCA…”
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  14. 14

    Alternating DC algorithm for partial DC programming problems by Pham Dinh, Tao, Huynh, Van Ngai, Le Thi, Hoai An, Ho, Vinh Thanh

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.04.2022
    Published in Journal of global optimization (01.04.2022)
    “…DC (Difference of Convex functions) programming and DCA (DC Algorithm) play a key role in nonconvex programming framework…”
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  15. 15

    Feature selection in machine learning: an exact penalty approach using a Difference of Convex function Algorithm by Le Thi, Hoai An, Le, Hoai Minh, Pham Dinh, Tao

    ISSN: 0885-6125, 1573-0565
    Published: New York Springer US 01.10.2015
    Published in Machine learning (01.10.2015)
    “… 0 -regularization problem. Using a new result on exact penalty techniques we reformulate equivalently the original problem as a Difference of Convex (DC) functions program…”
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  16. 16

    A sparse logistic regression framework by difference of convex functions programming by Yang, Liming, Qian, Yannan

    ISSN: 0924-669X, 1573-7497
    Published: New York Springer US 01.09.2016
    “… We apply a proper nonconvex approximation of the zero-norm to derive a robust difference of convex functions (DC) program…”
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  17. 17

    Generalized Polyhedral DC Optimization Problems by Huong, Vu Thi, Kim Huyen, Duong Thi, Yen, Nguyen Dong

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer Nature B.V 01.10.2025
    “…The problem of minimizing the difference of two lower semicontinuous, proper, convex functions (a DC function…”
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  18. 18

    On solving difference of convex functions programs with linear complementarity constraints by Le Thi, Hoai An, Nguyen, Thi Minh Tam, Dinh, Tao Pham

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.09.2023
    “… The difference of convex functions algorithm (DCA), an efficient approach in nonconvex programming framework, is then developed to solve the resulting problems…”
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  19. 19

    A class of smooth semi-supervised SVM by difference of convex functions programming and algorithm by Yang, Liming, Wang, Laisheng

    ISSN: 0950-7051, 1872-7409
    Published: Elsevier B.V 01.03.2013
    Published in Knowledge-based systems (01.03.2013)
    “… Moreover, a general framework for solving the S4VMs is constructed based on robust DC (difference of convex functions) programming…”
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  20. 20

    Open issues and recent advances in DC programming and DCA by Le Thi, Hoai An, Pham Dinh, Tao

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.03.2024
    Published in Journal of global optimization (01.03.2024)
    “…DC (difference of convex functions) programming and DC algorithm (DCA) are powerful tools for nonsmooth nonconvex optimization…”
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