Search Results - Difference of convex functions algorithm (DCA)

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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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  2. 2

    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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  3. 3

    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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  4. 4

    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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  5. 5

    s-SMOOTH: Sparsity and Smoothness Enhanced EEG Brain Tomography by Li, Ying, Qin, Jing, Hsin, Yue-Loong, Osher, Stanley, Liu, Wentai

    ISSN: 1662-453X, 1662-4548, 1662-453X
    Published: Switzerland Frontiers Research Foundation 28.11.2016
    Published in Frontiers in neuroscience (28.11.2016)
    “…EEG source imaging enables us to reconstruct current density in the brain from the electrical measurements with excellent temporal resolution (~ ). The…”
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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

    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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  8. 8

    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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  9. 9

    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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  10. 10

    RIP analysis for the weighted ℓr-ℓ1 minimization method by Zhou, Zhiyong

    ISSN: 0165-1684
    Published: Elsevier B.V 01.01.2023
    Published in Signal processing (01.01.2023)
    “…−ℓ1 minimization problem is solved via the difference of convex functions algorithms (DCA) directly…”
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  11. 11

    Identifying optimal biomarker combinations for treatment selection via a robust kernel method by Huang, Ying, Fong, Youyi

    ISSN: 0006-341X, 1541-0420, 1541-0420
    Published: England International Biometric Society, etc. 01.12.2014
    Published in Biometrics (01.12.2014)
    “…Treatment‐selection markers predict an individual's response to different therapies, thus allowing for the selection of a therapy with the best predicted…”
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  12. 12

    Comparative study of non-convex penalties and related algorithms in compressed sensing by Xu, Fanding, Duan, Junbo, Liu, Wenyu

    ISSN: 1051-2004, 1095-4333
    Published: Elsevier Inc 30.04.2023
    Published in Digital signal processing (30.04.2023)
    “…: the difference of convex function algorithm (DCA) and iterative shrinkage/thresholding algorithm (ISTA…”
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  13. 13

    Novel DCA based algorithms for a special class of nonconvex problems with application in machine learning by Le Thi, Hoai An, Le, Hoai Minh, Phan, Duy Nhat, Tran, Bach

    ISSN: 0096-3003, 1873-5649
    Published: Elsevier Inc 15.11.2021
    Published in Applied mathematics and computation (15.11.2021)
    “… (Difference of Convex functions) programming and DCA (DC Algorithm).•We first develop a standard DCA scheme especially dealing with the very specific structure of this problem…”
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  14. 14

    Outlier detection at the transcriptome-proteome interface by Gunawardana, Yawwani, Fujiwara, Shuhei, Takeda, Akiko, Woo, Jeongmin, Woelk, Christopher, Niranjan, Mahesan

    ISSN: 1367-4803, 1367-4811, 1367-4811, 1460-2059
    Published: England 01.08.2015
    Published in Bioinformatics (01.08.2015)
    “…Background: In high-throughput experimental biology, it is widely acknowledged that while expression levels measured at the levels of transcriptome and the…”
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  15. 15

    Alternating direction method of multipliers with difference of convex functions by Sun, Tao, Yin, Penghang, Cheng, Lizhi, Jiang, Hao

    ISSN: 1019-7168, 1572-9044
    Published: New York Springer US 01.06.2018
    Published in Advances in computational mathematics (01.06.2018)
    “…), a direct application of ADMM often leads to difficult nonconvex subproblems. To address this issue, we propose to convexify the subproblems through a linearization technique as done in the difference of convex functions algorithm (DCA…”
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  16. 16

    Iterative Reweighted Minimization for Generalized Norm/Quasi-Norm Difference Regularized Unconstrained Nonlinear Programming by Cen, Yi, Zhang, Linna, Wang, Ke, Cen, Yigang

    ISSN: 2169-3536, 2169-3536
    Published: Piscataway IEEE 2019
    Published in IEEE access (2019)
    “…In this paper, we study the minimization of l p-q (0 <; p ≤ 1, q ≥ 1, p=6q), the general difference of l p and l q norms/quasi-norms, as a nonconvex metric for solving unconstrained nonlinear programming…”
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  17. 17

    DC programming approach for portfolio optimization under step increasing transaction costs by Le Thi, Hoai An, Moeini, Mahdi, Dinh, Tao Pham

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis Group 01.04.2009
    Published in Optimization (01.04.2009)
    “… Then we apply the difference of convex functions algorithm (DCA) to the resulting polyhedral DC program…”
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  18. 18

    Robust multicategory support matrix machines by Qian, Chengde, Tran-Dinh, Quoc, Fu, Sheng, Zou, Changliang, Liu, Yufeng

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2019
    Published in Mathematical programming (01.07.2019)
    “… ), which optimizes an objective function with a hinge loss plus a so-called spectral elastic net penalty…”
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  19. 19

    Low-rank matrix recovery with Ky Fan 2-k-norm by Doan, Xuan Vinh, Vavasis, Stephen

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.04.2022
    Published in Journal of global optimization (01.04.2022)
    “… A general difference of convex functions algorithm (DCA) is developed to solve these models…”
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  20. 20

    Robust outcome weighted learning for optimal individualized treatment rules by Fu, Sheng, He, Qinying, Zhang, Sanguo, Liu, Yufeng

    ISSN: 1054-3406, 1520-5711, 1520-5711
    Published: England Taylor & Francis 04.07.2019
    Published in Journal of biopharmaceutical statistics (04.07.2019)
    “… Since most of commonly used loss functions are unbounded, the resulting ITR may suffer similar effects of outliers as the corresponding classifiers…”
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