Search Results - Difference of convex functions algorithm
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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)“…> 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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Universum parametric-margin ν-support vector machine for classification using the difference of convex functions algorithm
ISSN: 0924-669X, 1573-7497Published: New York Springer US 01.02.2022Published in Applied intelligence (Dordrecht, Netherlands) (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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A Difference of Convex Functions Algorithm for Switched Linear Regression
ISSN: 0018-9286, 1558-2523Published: New York IEEE 01.08.2014Published 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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Long-Short Portfolio Optimization Under Cardinality Constraints by Difference of Convex Functions Algorithm
ISSN: 0022-3239, 1573-2878Published: Boston Springer US 01.04.2014Published in Journal of optimization theory and applications (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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A unified equivalent model of the l0 minimization model for structural damage identification
ISSN: 0888-3270Published: Elsevier Ltd 01.01.2026Published 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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The Boosted DC Algorithm for Linearly Constrained DC Programming
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 01.12.2022Published 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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Sparse-View Spectral CT Reconstruction Using Spectral Patch-Based Low-Rank Penalty
ISSN: 0278-0062, 1558-254X, 1558-254XPublished: United States IEEE 01.03.2015Published 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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Minimization of transformed L1 penalty: theory, difference of convex function algorithm, and robust application in compressed sensing
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018Published 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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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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A boosted DC algorithm for non-differentiable DC components with non-monotone line search
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.07.2024Published in Computational optimization and applications (01.07.2024)“…We introduce a new approach to apply the boosted difference of convex functions algorithm (BDCA…”
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Optimization of Device-Free Localization with Springback Dual Models: A Synthetic and Analytical Framework
ISSN: 1424-8220, 1424-8220Published: Switzerland MDPI AG 12.09.2025Published 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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A Preconditioned Difference of Convex Algorithm for Truncated Quadratic Regularization with Application to Imaging
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.08.2021Published 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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A new device-free localization method for RSS data with considering correlations
ISSN: 0140-3664, 1873-703XPublished: Elsevier B.V 01.11.2023Published 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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Feature selection in machine learning: an exact penalty approach using a Difference of Convex function Algorithm
ISSN: 0885-6125, 1573-0565Published: New York Springer US 01.10.2015Published 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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Unknown-but-bounded uncertainty propagation in spacecraft structural system: Interval reduced basis method and its integrated framework
ISSN: 1270-9638, 1626-3219Published: Elsevier Masson SAS 01.09.2019Published 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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Feature selection for linear SVMs under uncertain data: Robust optimization based on difference of convex functions algorithms
ISSN: 0893-6080, 1879-2782, 1879-2782Published: Kidlington Elsevier Ltd 01.11.2014Published 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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Using Positive Spanning Sets to Achieve d-Stationarity with the Boosted DC Algorithm
ISSN: 2305-221X, 2305-2228, 2305-2228Published: Singapore Springer Nature Singapore 01.06.2020Published 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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Learning sparse classifiers with difference of convex functions algorithms
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 01.08.2013Published 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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Smoothing techniques and difference of convex functions algorithms for image reconstructions
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 02.08.2020Published 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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The Boosted Difference of Convex Functions Algorithm for Value-at-Risk Constrained Portfolio Optimization
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 14.02.2024Published 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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