Search Results - DCA (DC Algorithms) Programming

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  1. 1

    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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    Journal Article
  2. 2

    Enhanced proximal DC algorithms with extrapolation for a class of structured nonsmooth DC minimization by Lu, Zhaosong, Zhou, Zirui, Sun, Zhe

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019
    Published in Mathematical programming (01.07.2019)
    “… We first propose an inexact enhanced DC algorithm for solving this problem in which the second convex component is the supremum of finitely many convex smooth functions, and show that every…”
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  3. 3

    Combining DC Algorithms (DCAs) and Decomposition Techniques for the Training of Nonpositive-Semidefinite Kernels by Akoa, F.B.

    ISSN: 1045-9227, 1941-0093, 1941-0093
    Published: New York, NY IEEE 01.11.2008
    Published in IEEE transactions on neural networks (01.11.2008)
    “… The new approach needs no problem modification and we show that the only use of a truncated DC algorithms (DCAs…”
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  4. 4

    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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  5. 5

    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
    “… We propose new online stochastic algorithms based on the state-of-the-art DC Algorithm (DCA)-a powerful approach in nonconvex programming framework, in the online context of streaming data continuously generated…”
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  6. 6

    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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  7. 7

    DC formulations and algorithms for sparse optimization problems by Gotoh, Jun-ya, Takeda, Akiko, Tono, Katsuya

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
    Published in Mathematical programming (01.05.2018)
    “… problems which often appear in practice. A DC Algorithm (DCA) is presented, where the dual step at each iteration can be efficiently carried out due to the accessible subgradient of the largest- k norm…”
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  8. 8

    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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  9. 9

    A refined inertial DC algorithm for DC programming by You, Yu, Niu, Yi-Shuai

    ISSN: 1389-4420, 1573-2924
    Published: New York Springer US 01.03.2023
    Published in Optimization and engineering (01.03.2023)
    “… The classical DC Algorithm (DCA) is well-known for solving this kind of problems, which generally returns a critical point…”
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  10. 10

    Unified SVM algorithm based on LS-DC loss by Zhou, Shuisheng, Zhou, Wendi

    ISSN: 0885-6125, 1573-0565
    Published: New York Springer US 01.08.2023
    Published in Machine learning (01.08.2023)
    “… Based on the difference of convex algorithm (DCA), we then propose a unified algorithm called UniSVM…”
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  11. 11

    Accelerating the DC algorithm for smooth functions by Aragón Artacho, Francisco J., Fleming, Ronan M. T., Vuong, Phan T.

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
    Published in Mathematical programming (01.05.2018)
    “…We introduce two new algorithms to minimise smooth difference of convex (DC) functions that accelerate the convergence of the classical DC algorithm (DCA…”
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  12. 12

    DC programming and DCA: thirty years of developments by Le Thi, Hoai An, Pham Dinh, Tao

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
    Published in Mathematical programming (01.05.2018)
    “…The year 2015 marks the 30th birthday of DC (Difference of Convex functions) programming and DCA (DC Algorithms…”
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  13. 13

    On the Linear Convergence to Weak/Standard d-Stationary Points of DCA-Based Algorithms for Structured Nonsmooth DC Programming by Dong, Hongbo, Tao, Min

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.04.2021
    “… Our focus is on algorithms that compute a (weak or standard) d(irectional)-stationary point as advocated in a recent work of Pang et al. (Math Oper Res 42:95–118, 2017…”
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  14. 14

    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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  15. 15

    DC programming and DCA for supply chain and production management: state-of-the-art models and methods by Le Thi, Hoai An

    ISSN: 0020-7543, 1366-588X
    Published: London Taylor & Francis 17.10.2020
    “…). In this paper, we provide a survey on DC (Difference of Convex function) programming and DCA (DC Algorithm), a state-of-the-art optimisation approach for challenging problems in SCPM…”
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  16. 16

    Combining DCA (DC Algorithms) and interior point techniques for large-scale nonconvex quadratic programming by Pham Dinh, T., Le Thi, H. A., Akoa, F.

    ISSN: 1055-6788, 1029-4937
    Published: Taylor & Francis 01.08.2008
    Published in Optimization methods & software (01.08.2008)
    “…In this paper, we provide a new regularization technique based on DC programming and DC Algorithms to handle indefinite Hessians in a primal-dual interior point context for nonconvex quadratic programming problems…”
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  17. 17

    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
    “…). Supposing the first DC component differentiable and the second one possibly non-differentiable, the main idea of BDCA is to use the point computed by the subproblem of the DC algorithm (DCA…”
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  18. 18

    An efficient combined DCA and B&B using DC/SDP relaxation for globally solving binary quadratic programs by Pham Dinh, Tao, Nguyen Canh, Nam, Le Thi, Hoai An

    ISSN: 0925-5001, 1573-2916
    Published: Boston Springer US 01.12.2010
    Published in Journal of global optimization (01.12.2010)
    “…) programming and DC algorithms (DCA) to Binary quadratic programs (BQP) which play a key role in combinatorial optimization…”
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  19. 19

    Properties of two DC algorithms in quadratic programming by Le Thi, Hoai An, Pham Dinh, Tao, Yen, Nguyen Dong

    ISSN: 0925-5001, 1573-2916
    Published: Boston Springer US 01.03.2011
    Published in Journal of global optimization (01.03.2011)
    “…Some new properties of the Projection DC decomposition algorithm (we call it Algorithm…”
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  20. 20

    A non-convex algorithm framework based on DC programming and DCA for matrix completion by Geng, Juan, Wang, Laisheng, Wang, Yanfei

    ISSN: 1017-1398, 1572-9265
    Published: Boston Springer US 01.04.2015
    Published in Numerical algorithms (01.04.2015)
    “… In this paper, we propose a unified framework based on Difference of Convex functions (DC) programming and DC Algorithms (DCA…”
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