Search Results - DC (Difference of Convex functions) Programming

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  1. 1

    Learning Gaussian-Bernoulli RBMs Using Difference of Convex Functions Optimization by Upadhya, Vidyadhar, Sastry, P. S.

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 01.10.2022
    “… In this work, we alleviate such difficulties by showing that the negative log-likelihood for a GB-RBM can be expressed as a difference of convex functions if we keep the variance of the conditional…”
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  2. 2

    Multi-target elliptic positioning via difference of convex functions programming by Dang, Xudong, Liu, Hongwei, Yan, Junkun

    ISSN: 0165-1684
    Published: Elsevier B.V 01.09.2025
    Published in Signal processing (01.09.2025)
    “… We first develop an equivalent Difference of Convex functions (DC) representation for the non-convex Boolean constraint imposed on the association variables, making the problem tractable…”
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  3. 3

    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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  4. 4

    An approach to supervised distance metric learning based on difference of convex functions programming by Nguyen, Bac, De Baets, Bernard

    ISSN: 0031-3203, 1873-5142
    Published: Elsevier Ltd 01.09.2018
    Published in Pattern recognition (01.09.2018)
    “…•DML-dc is based on difference of convex functions (DC) programming.•DML-dc uses the ramp loss function to avoid the influence of outliers…”
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  5. 5

    Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions by Ghazi, A., Roubi, A.

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 25.01.2025
    Published in Optimization (25.01.2025)
    “…In this work, necessary optimality conditions of KKT type for (weak) Pareto optimality are derived and a DC-Dinkelbach-type algorithm is proposed for vector fractional mathematical programs with ratios of difference of convex (DC…”
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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

    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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  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

    Proximal bundle methods for generalized fractional programs with ratios of difference of convex functions by Ghazi, Abdelouafi, Roubi, Ahmed

    ISSN: 0399-0559, 2804-7303
    Published: 01.07.2025
    Published in R.A.I.R.O. Recherche opérationnelle (01.07.2025)
    “…In this paper, we present an approximating scheme based on the proximal point algorithm for solving generalized fractional programs involving ratios of difference of convex (DC…”
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  10. 10

    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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  11. 11

    Data fitting with signomial programming compatible difference of convex functions by Karcher, Cody J.

    ISSN: 1389-4420, 1573-2924
    Published: New York Springer US 01.06.2023
    Published in Optimization and engineering (01.06.2023)
    “… Here, a new Difference of Softmax Affine function is constructed by utilizing existing methods of GP compatible fitting in Difference of Convex (DC) functions…”
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  12. 12

    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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  13. 13

    Optimality conditions and DC-Dinkelbach-type algorithm for generalized fractional programs with ratios of difference of convex functions by Ghazi, Abdelouafi, Roubi, Ahmed

    ISSN: 1862-4472, 1862-4480
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2021
    Published in Optimization letters (01.10.2021)
    “…In this paper, we develop optimality conditions and propose an algorithm for generalized fractional programming problems whose objective function is the maximum of finite ratios of difference of convex (dc…”
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  14. 14

    A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems by de Carvalho Bento, Glaydston, Bitar, Sandro Dimy Barbosa, da Cruz Neto, João Xavier, Soubeyran, Antoine, de Oliveira Souza, João Carlos

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.01.2020
    “…We consider the constrained multi-objective optimization problem of finding Pareto critical points of difference of convex functions…”
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  15. 15

    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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  16. 16

    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 offer an efficient approach based on difference of convex functions (DC) optimization for self-organizing maps (SOM…”
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  17. 17

    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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  18. 18

    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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  19. 19

    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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  20. 20

    Federated Learning via Over-the-Air Computation by Yang, Kai, Jiang, Tao, Shi, Yuanming, Ding, Zhi

    ISSN: 1536-1276, 1558-2248
    Published: New York IEEE 01.03.2020
    “…The stringent requirements for low-latency and privacy of the emerging high-stake applications with intelligent devices such as drones and smart vehicles make…”
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