Search Results - Difference of convex/nonconvex functions algorithm

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  1. 1

    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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    Journal Article
  2. 2

    Low-Rank Tensor Estimation via Generalized Norm/Quasi-Norm Difference Regularization by Cen, Yi, Cen, Yigang, Wang, Ke, Li, Jincong, Chen, Shiming, Zhang, Linnan, Tao, Dan

    Published: IEEE 01.08.2018
    “…In this paper we study minimization of lp-q (0 < p ≤ 1, q ≥ 1, p ≠ q), the general difference of lp and lq norms/quasi-norms for solving nonconvex unconstrained nonlinear programming…”
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    Conference Proceeding
  3. 3

    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)
    “…In this article, the problem of impulse noise image restoration is investigated. A typical way to eliminate impulse noise is to use an <inline-formula>…”
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    Journal Article
  4. 4

    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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    Journal Article
  5. 5

    Convergence analysis of a proximal point algorithm for minimizing differences of functions by An, Nguyen Thai, Nam, Nguyen Mau

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 02.01.2017
    Published in Optimization (02.01.2017)
    “… In this paper, we introduce a generalized proximal point algorithm to minimize the difference of a nonconvex function and a convex function…”
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    Journal Article
  6. 6

    Direct-Optimization-Based DC Dictionary Learning With the MCP Regularizer by Li, Zhenni, Yang, Zuyuan, Zhao, Haoli, Xie, Shengli

    ISSN: 2162-237X, 2162-2388, 2162-2388
    Published: United States IEEE 01.07.2023
    “… converges to a critical point of the objective function. In this article, we propose a novel direct-optimization-based dictionary learning algorithm using the minimax concave penalty (MCP…”
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    Journal Article
  7. 7
  8. 8

    A DC programming approach for finding communities in networks by Le Thi, Hoai An, Nguyen, Manh Cuong, Dinh, Tao Pham

    ISSN: 1530-888X, 1530-888X
    Published: United States 01.12.2014
    Published in Neural computation (01.12.2014)
    “… In this letter, we propose a fast and scalable algorithm called DCAM, based on DC (difference of convex function…”
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    Journal Article
  9. 9

    A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions by Alizadeh Tabrizian, Amir Hamzeh, Bidabadi, Narges

    ISSN: 0163-0563, 1532-2467
    Published: Abingdon Taylor & Francis 26.08.2022
    “… and global optimization. In this article, we introduce new algorithm to minimize the difference of a continuously differentiable function and a convex function that accelerate the convergence of the classical proximal point algorithm…”
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    Journal Article
  10. 10

    A TWO-DIMENSIONAL VERSION OF THE GODUNOV SCHEME FOR SCALAR BALANCE LAWS by GOSSE, LAURENT

    ISSN: 0036-1429, 1095-7170
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014
    Published in SIAM journal on numerical analysis (01.01.2014)
    “…A Godunov scheme is derived for two-dimensional scalar conservation laws without or with source terms following ideas originally proposed by Boukadida and…”
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    Journal Article
  11. 11

    Improving the Robustness of Difference of Convex Algorithm in the Research of a Global Optimum of a Nonconvex Differentiable Function Defined on a Bounded Closed Interval by Fadila, Leslous, Marthon, Philippe, Mohand, Ouanes

    ISSN: 1312-885X, 1314-7552
    Published: Hikari 2014
    Published in Applied mathematical sciences (2014)
    “… (Difference of Convex Algorithm) and the minimum of the average of two approximations of the function from a and…”
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    Journal Article
  12. 12

    Difference of convex functions optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres by Tao, Pham Dinh, An, Le Thi Hoai

    ISSN: 0167-6377, 1872-7468
    Published: Amsterdam Elsevier B.V 01.11.1996
    Published in Operations research letters (01.11.1996)
    “…We present DCA for globally minimizing quadratic forms on Euclidean balls and spheres. Since these problems admit at most one local-nonglobal minimizer, DCA…”
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    Journal Article
  13. 13

    Global optimization method for maximizing the sum of difference of convex functions ratios over nonconvex region by Pei, Yonggang, Zhu, Detong

    ISSN: 1598-5865, 1865-2085
    Published: Berlin/Heidelberg Springer-Verlag 01.03.2013
    Published in Journal of applied mathematics & computing (01.03.2013)
    “…A global optimization algorithm is presented for maximizing the sum of difference of convex functions ratios problem over nonconvex feasible region…”
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    Journal Article
  14. 14

    General Derivative-Free Optimization Methods under Global and Local Lipschitz Continuity of Gradients by Pham, Duy Khanh, Mordukhovich, Boris S, Dat Ba Tran

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 28.11.2023
    Published in arXiv.org (28.11.2023)
    “…This paper addresses the study of derivative-free smooth optimization problems, where the gradient information on the objective function is unavailable…”
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    Paper
  15. 15

    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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    Journal Article
  16. 16

    Estimating individualized treatment rules with risk constraint by Huang, Xinyang, Xu, Jin

    ISSN: 0006-341X, 1541-0420, 1541-0420
    Published: United States Blackwell Publishing Ltd 01.12.2020
    Published in Biometrics (01.12.2020)
    “…‐1 loss in the objective function and constraint, respectively, and transforms the estimation problem into a difference of convex functions (DC…”
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    Journal Article
  17. 17

    DCA approaches for simultaneous wireless information power transfer in MISO secrecy channel by Nguyen, Phuong Anh, Le Thi, Hoai An

    ISSN: 1389-4420, 1573-2924
    Published: New York Springer US 01.03.2023
    Published in Optimization and engineering (01.03.2023)
    “… Since these optimization problems are nonconvex, we propose the efficient algorithms based on Difference of Convex (DC…”
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    Journal Article
  18. 18

    Personalized Dose Finding Using Outcome Weighted Learning by Chen, Guanhua, Zeng, Donglin, Kosorok, Michael R.

    ISSN: 0162-1459, 1537-274X, 1537-274X
    Published: United States Taylor & Francis 01.12.2016
    “… To estimate the optimal IDR using such data, we propose an outcome weighted learning method based on a nonconvex loss function, which can be solved efficiently using a difference of convex functions algorithm…”
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    Journal Article
  19. 19

    A TV-log nonconvex approach for image deblurring with impulsive noise by Zhang, Benxin, Zhu, Guopu, Zhu, Zhibin

    ISSN: 0165-1684, 1872-7557
    Published: Elsevier B.V 01.09.2020
    Published in Signal processing (01.09.2020)
    “…•A difference of convex functions algorithm with adaptive proximal parameter is developed.•The sequence generated by the proposed algorithm converges to a critical point…”
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    Journal Article
  20. 20

    A unified DC programming framework and efficient DCA based approaches for large scale batch reinforcement learning by Le Thi, Hoai An, Ho, Vinh Thanh, Pham Dinh, Tao

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.02.2019
    Published in Journal of global optimization (01.02.2019)
    “…We investigate a powerful nonconvex optimization approach based on Difference of Convex functions (DC…”
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    Journal Article