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