Search Results - Difference of convex functions algorithm

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  1. 1

    Impulse Noise Image Restoration Using Nonconvex Variational Model and Difference of Convex Functions Algorithm by Zhang, Benxin, Zhu, Guopu, Zhu, Zhibin, Zhang, Hongli, Zhou, Yicong, Kwong, Sam

    ISSN: 2168-2267, 2168-2275, 2168-2275
    Published: United States IEEE 01.04.2024
    Published in IEEE transactions on cybernetics (01.04.2024)
    “…> norm data fitting term and a total variation (TV) regularization. However, a convex optimization method designed in this way always yields staircase artifacts…”
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    Journal Article
  2. 2

    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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  3. 3

    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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  4. 4

    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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  5. 5

    A unified equivalent model of the l0 minimization model for structural damage identification by Song, Xueli, Ma, Xiao, Li, Rongpeng, Yi, Wen, Ma, Lingjuan, Zheng, Supei, Wang, Kaiming

    ISSN: 0888-3270
    Published: Elsevier Ltd 01.01.2026
    Published in Mechanical systems and signal processing (01.01.2026)
    “… Many existing approximation models have approximately solved the original model because it is NP-hard, by replacing the l0-norm with continuous sparsity-promoting functions, which inevitably reduces…”
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  6. 6

    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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  7. 7

    Sparse-View Spectral CT Reconstruction Using Spectral Patch-Based Low-Rank Penalty by Kyungsang Kim, Jong Chul Ye, Worstell, William, Jinsong Ouyang, Rakvongthai, Yothin, El Fakhri, Georges, Quanzheng Li

    ISSN: 0278-0062, 1558-254X, 1558-254X
    Published: United States IEEE 01.03.2015
    Published in IEEE transactions on medical imaging (01.03.2015)
    “…Spectral computed tomography (CT) is a promising technique with the potential for improving lesion detection, tissue characterization, and material…”
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  8. 8

    Minimization of transformed L1 penalty: theory, difference of convex function algorithm, and robust application in compressed sensing by Zhang, Shuai, Xin, Jack

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
    Published in Mathematical programming (01.05.2018)
    “…We study the minimization problem of a non-convex sparsity promoting penalty function, the transformed l 1 (TL1…”
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  9. 9

    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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  10. 10

    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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  11. 11

    Optimization of Device-Free Localization with Springback Dual Models: A Synthetic and Analytical Framework by Li, Jinan, Tan, Benying, Qin, Yang, Mo, Yaoyao

    ISSN: 1424-8220, 1424-8220
    Published: Switzerland MDPI AG 12.09.2025
    Published in Sensors (Basel, Switzerland) (12.09.2025)
    “… of getting stuck in local optima. To address these issues, this study proposes a synthetic model based on a novel weakly convex penalty function called Springback…”
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  12. 12

    A Preconditioned Difference of Convex Algorithm for Truncated Quadratic Regularization with Application to Imaging by Deng, Shengxiang, Sun, Hongpeng

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.08.2021
    Published in Journal of scientific computing (01.08.2021)
    “… We cooperated the classical preconditioned iterations for linear equations into the nonlinear difference of convex functions algorithms with extrapolation…”
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  13. 13

    A new device-free localization method for RSS data with considering correlations by Xia, Ziwei, Tan, Benying, Zhao, Haoli, Ding, Shuxue, Li, Yujie

    ISSN: 0140-3664, 1873-703X
    Published: Elsevier B.V 01.11.2023
    Published in Computer communications (01.11.2023)
    “…Device-free localization (DFL) is an emerging intelligent sensing technique with challenging issues due to the highly correlated data. Localization performance…”
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  14. 14

    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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  15. 15

    Unknown-but-bounded uncertainty propagation in spacecraft structural system: Interval reduced basis method and its integrated framework by Lyu, Zheng, Yang, Yaowen, Xia, Haijun

    ISSN: 1270-9638, 1626-3219
    Published: Elsevier Masson SAS 01.09.2019
    Published in Aerospace science and technology (01.09.2019)
    “…Uncertainty propagation analysis is a key issue for the safety and optimal design of spacecraft structures. This paper proposes an interval reduced basis…”
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  16. 16

    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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  17. 17

    Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm by Artacho, F. J. Aragón, Campoy, R., Vuong, P. T.

    ISSN: 2305-221X, 2305-2228, 2305-2228
    Published: Singapore Springer Nature Singapore 01.06.2020
    Published in Vietnam journal of mathematics (01.06.2020)
    “…The Difference of Convex functions Algorithm (DCA) is widely used for minimizing the difference of two convex functions…”
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  18. 18

    Learning sparse classifiers with difference of convex functions algorithms by Ong, Cheng Soon, An, Le Thi Hoai

    ISSN: 1055-6788, 1029-4937
    Published: Abingdon Taylor & Francis 01.08.2013
    Published in Optimization methods & software (01.08.2013)
    “… ℓ 1 regularization with hinge loss, and the ramp loss versions of approximate ℓ 0 and capped ℓ 1 regularization. We derive difference of convex functions algorithms…”
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  19. 19

    Smoothing techniques and difference of convex functions algorithms for image reconstructions by Mau Nam, Nguyen, Hoai An, Le Thi, Giles, Daniel, Thai An, Nguyen

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 02.08.2020
    Published in Optimization (02.08.2020)
    “… As an application, we provide a simple approach to image reconstructions based on Nesterov's smoothing and algorithms for minimizing differences of convex (DC…”
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  20. 20

    The Boosted Difference of Convex Functions Algorithm for Value-at-Risk Constrained Portfolio Optimization by Thormann, Marah-Lisanne, Phan Tu Vuong, Zemkoho, Alain B

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 14.02.2024
    Published in arXiv.org (14.02.2024)
    “…) functions representation of the VaR can be derived. Wozabal (2012) showed that this yields a solution to a VaR constrained Markowitz style portfolio selection problem using the Difference of Convex Functions Algorithm (DCA…”
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