Search Results - Difference of convex/nonconvex functions algorithm
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Iterative Reweighted Minimization for Generalized Norm/Quasi-Norm Difference Regularized Unconstrained Nonlinear Programming
ISSN: 2169-3536, 2169-3536Published: Piscataway IEEE 2019Published 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 -
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Low-Rank Tensor Estimation via Generalized Norm/Quasi-Norm Difference Regularization
Published: IEEE 01.08.2018Published in 2018 4th International Conference on Big Data Computing and Communications (BIGCOM) (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 -
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Impulse Noise Image Restoration Using Nonconvex Variational Model and Difference of Convex Functions Algorithm
ISSN: 2168-2267, 2168-2275, 2168-2275Published: United States IEEE 01.04.2024Published 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 -
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Novel DCA based algorithms for a special class of nonconvex problems with application in machine learning
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 15.11.2021Published 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 -
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Convergence analysis of a proximal point algorithm for minimizing differences of functions
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.01.2017Published 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 -
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Direct-Optimization-Based DC Dictionary Learning With the MCP Regularizer
ISSN: 2162-237X, 2162-2388, 2162-2388Published: United States IEEE 01.07.2023Published in IEEE transaction on neural networks and learning systems (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 -
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Fuzzy clustering based on nonconvex optimisation approaches using difference of convex (DC) functions algorithms
ISSN: 1862-5347, 1862-5355Published: Springer Verlag 02.08.2007Published in Advances in data analysis and classification (02.08.2007)Get full text
Journal Article -
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A DC programming approach for finding communities in networks
ISSN: 1530-888X, 1530-888XPublished: United States 01.12.2014Published 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 -
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A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions
ISSN: 0163-0563, 1532-2467Published: Abingdon Taylor & Francis 26.08.2022Published in Numerical functional analysis and optimization (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 -
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A TWO-DIMENSIONAL VERSION OF THE GODUNOV SCHEME FOR SCALAR BALANCE LAWS
ISSN: 0036-1429, 1095-7170Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014Published 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 -
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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
ISSN: 1312-885X, 1314-7552Published: Hikari 2014Published 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 -
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Difference of convex functions optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres
ISSN: 0167-6377, 1872-7468Published: Amsterdam Elsevier B.V 01.11.1996Published 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 -
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Global optimization method for maximizing the sum of difference of convex functions ratios over nonconvex region
ISSN: 1598-5865, 1865-2085Published: Berlin/Heidelberg Springer-Verlag 01.03.2013Published 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 -
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General Derivative-Free Optimization Methods under Global and Local Lipschitz Continuity of Gradients
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 28.11.2023Published 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 -
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On solving difference of convex functions programs with linear complementarity constraints
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.09.2023Published in Computational optimization and applications (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 -
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Estimating individualized treatment rules with risk constraint
ISSN: 0006-341X, 1541-0420, 1541-0420Published: United States Blackwell Publishing Ltd 01.12.2020Published 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 -
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DCA approaches for simultaneous wireless information power transfer in MISO secrecy channel
ISSN: 1389-4420, 1573-2924Published: New York Springer US 01.03.2023Published 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 -
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Personalized Dose Finding Using Outcome Weighted Learning
ISSN: 0162-1459, 1537-274X, 1537-274XPublished: United States Taylor & Francis 01.12.2016Published in Journal of the American Statistical Association (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 -
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A TV-log nonconvex approach for image deblurring with impulsive noise
ISSN: 0165-1684, 1872-7557Published: Elsevier B.V 01.09.2020Published 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 -
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A unified DC programming framework and efficient DCA based approaches for large scale batch reinforcement learning
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.02.2019Published 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