Search Results - Boosted difference of convex functions algorithm
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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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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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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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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)“…). A recent algorithmic extension is the so-called Boosted Difference of Convex Functions Algorithm (BDCA…”
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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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An Inexact Boosted Difference of Convex Algorithm for Nondifferentiable Functions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 07.12.2024Published in arXiv.org (07.12.2024)“…In this paper, we introduce an inexact approach to the Boosted Difference of Convex Functions Algorithm (BDCA…”
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The Boosted DC Algorithm for linearly constrained DC programming
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 02.08.2022Published in arXiv.org (02.08.2022)“…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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The Boosted DC Algorithm for nonsmooth functions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 23.07.2019Published in arXiv.org (23.07.2019)“…The Boosted Difference of Convex functions Algorithm (BDCA) was recently proposed for minimizing smooth difference of convex (DC) functions…”
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A boosted DC algorithm for non-differentiable DC components with non-monotone line search
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 17.06.2022Published in arXiv.org (17.06.2022)“…We introduce a new approach to apply the boosted difference of convex functions algorithm (BDCA…”
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The Boosted DC Algorithm for Clustering with Constraints
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.10.2023Published in arXiv.org (22.10.2023)“…This paper aims to investigate the effectiveness of the recently proposed Boosted Difference of Convex functions Algorithm (BDCA…”
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Qualitative Analysis and Adaptive Boosted DCA for Generalized Multi-Source Weber Problems
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 20.09.2024Published in arXiv.org (20.09.2024)“… Second, we apply Nesterov's smoothing and the adaptive Boosted Difference of Convex functions Algorithm (BDCA…”
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The Boosted Double-proximal Subgradient Algorithm for nonconvex optimization
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2025Published in Mathematical programming (01.11.2025)“…In this paper we introduce the Boosted Double-proximal Subgradient Algorithm (BDSA), a novel splitting algorithm designed to address general structured…”
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Image denoising with a non-monotone boosted DCA for non-convex models
ISSN: 0045-7906, 1879-0755Published: Elsevier Ltd 01.07.2024Published in Computers & electrical engineering (01.07.2024)“…), an accelerated variant of the Difference of Convex Algorithm (DCA), with a non-convex version of the total variation (TV…”
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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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Using positive spanning sets to achieve d-stationarity with the Boosted DC Algorithm
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 12.02.2020Published in arXiv.org (12.02.2020)“…The Difference of Convex functions Algorithm (DCA) is widely used for minimizing the difference of two convex functions…”
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A non-monotone proximal point method for image reconstruction using non-convex total variation models
ISSN: 0045-7906Published: Elsevier Ltd 01.08.2025Published in Computers & electrical engineering (01.08.2025)“…) when applied to image denoising and filtering tasks. In this work, we propose a boosted version of the PPM for image denoising, called nmPPMDC, using a non-convex Total Variation model…”
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A Boosted-DCA with Power-Sum-DC Decomposition for Linearly Constrained Polynomial Programs
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.05.2024Published in Journal of optimization theory and applications (01.05.2024)“…This paper proposes a novel Difference-of-Convex (DC) decomposition for polynomials using a power-sum representation, achieved by solving a sparse linear system…”
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Boosted scaled subgradient method for DC programming
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 19.03.2021Published in arXiv.org (19.03.2021)“…) to minimize the difference of two convex functions (DC functions), where the first function is differentiable and the second one is possibly non-smooth…”
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High-order Moment Portfolio Optimization via An Accelerated Difference-of-Convex Programming Approach and Sums-of-Squares
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 06.05.2022Published in arXiv.org (06.05.2022)“…The Mean-Variance-Skewness-Kurtosis (MVSK) portfolio optimization model is a quartic nonconvex polynomial minimization problem over a polytope, which can be formulated as a Difference-of-Convex (DC) program…”
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Boosted Lasso
Published: Hampton NASA/Langley Research Center 01.12.2004Published in NASA Center for AeroSpace Information (CASI). Reports (01.12.2004)“… (L1 penalized convex loss). It consists of both a forward step and a backward step and uses differences of functions instead of gradient…”
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