Search Results - "DC (Difference of Convex functions) Programming"
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The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Nonconvex Optimization Problems
ISSN: 0254-5330, 1572-9338Published: New York Springer Nature B.V 01.01.2005Published in Annals of operations research (01.01.2005)“…The DC programming and its DC algorithm (DCA) address the problem of minimizing a function f=g-h (with g,h being lower semicontinuous proper convex functions…”
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Journal Article -
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A continuous approach for the concave cost supply problem via DC programming and DCA
ISSN: 0166-218X, 1872-6771Published: Lausanne Elsevier B.V 01.02.2008Published in Discrete Applied Mathematics (01.02.2008)“…The paper addresses an important but difficult class of concave cost supply management problems which consist in minimizing a separable increasing concave…”
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Journal Article Conference Proceeding -
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Discrete Tomography Based on DC Programming and DCA
ISBN: 9781424480746, 1424480744Published: IEEE 01.11.2010Published in 2010 IEEE RIVF International Conference on Computing and Communication Technologies, Research, Innovation, and Vision for the Future (01.11.2010)“…In this article, we present a new continuous approach based on DC (Difference of Convex functions…”
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Conference Proceeding -
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Solving a multimodal transport problem by DCA
ISBN: 9781424423798, 1424423791Published: IEEE 01.07.2008Published in 2008 IEEE International Conference on Research, Innovation and Vision for the Future Information and Communications Technologies (01.07.2008)“…The combined transport appears as a promising alternative to road transportation for containers allocation. It possesses a strong potential market, conditioned…”
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Conference Proceeding -
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DC approximation approaches for sparse optimization
ISSN: 0377-2217, 1872-6860Published: Amsterdam Elsevier B.V 01.07.2015Published in European journal of operational research (01.07.2015)“… (Difference of Convex functions) programming framework. Considering…”
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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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A generalized adaptive robust distance metric driven smooth regularization learning framework for pattern recognition
ISSN: 0165-1684, 1872-7557Published: Elsevier B.V 01.10.2023Published in Signal processing (01.10.2023)“…), regularization and smoothing techniques.•The fast Newton-Armijo algorithm and DC (difference of convex functions…”
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Adaptive robust learning framework for twin support vector machine classification
ISSN: 0950-7051, 1872-7409Published: Amsterdam Elsevier B.V 09.01.2021Published in Knowledge-based systems (09.01.2021)“…In general, introducing robust distance metrics and loss functions in the learning process can improve the robustness of the algorithms. In this work, we first…”
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Journal Article -
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Efficient Nonnegative Matrix Factorization by DC Programming and DCA
ISSN: 1530-888X, 1530-888XPublished: United States 01.06.2016Published in Neural computation (01.06.2016)“… Two approaches based on DC (difference of convex functions) programming and DCA (DC algorithm) are developed. The first approach follows the alternating framework…”
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Alternating DC algorithm for partial DC programming problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.04.2022Published in Journal of global optimization (01.04.2022)“…DC (Difference of Convex functions) programming and DCA (DC Algorithm) play a key role in nonconvex programming framework…”
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DCA based algorithms for feature selection in multi-class support vector machine
ISSN: 0254-5330, 1572-9338Published: New York Springer US 01.02.2017Published in Annals of operations research (01.02.2017)“… (Difference of Convex functions) programming and DCA (DC Algorithms) are investigated. The first is DC approximation via several sparse inducing functions and the second is an exact reformulation approach using penalty techniques…”
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Journal Article -
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DCA based approaches for bi-level variable selection and application for estimate multiple sparse covariance matrices
ISSN: 0925-2312, 1872-8286Published: Elsevier B.V 27.11.2021Published in Neurocomputing (Amsterdam) (27.11.2021)“…•Two new models via new regularizations for bi-level variable selection are considered.•The first uses the mixed zero norm and the second is the combined…”
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Support vector machine with truncated pinball loss and its application in pattern recognition
ISSN: 0169-7439, 1873-3239Published: Elsevier B.V 15.06.2018Published in Chemometrics and intelligent laboratory systems (15.06.2018)“…(difference of convex functions) programming method, to solve the proposed TPINSVM. The resulting DC optimization algorithm converges finitely…”
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New and efficient DCA based algorithms for minimum sum-of-squares clustering
ISSN: 0031-3203, 1873-5142Published: Kidlington Elsevier Ltd 01.01.2014Published in Pattern recognition (01.01.2014)“…The purpose of this paper is to develop new efficient approaches based on DC (Difference of Convex functions…”
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Journal Article -
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Community detection via an efficient nonconvex optimization approach based on modularity
ISSN: 0167-9473, 1872-7352Published: Elsevier B.V 01.05.2021Published in Computational statistics & data analysis (01.05.2021)“…Maximizing modularity is a widely used method for community detection, which is generally solved by approximate or greedy search because of its high…”
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Robust Support Vector Machine With Asymmetric Truncated Generalized Pinball Loss
ISSN: 2169-3536, 2169-3536Published: Piscataway IEEE 2024Published in IEEE access (2024)“…The support vector machine (SVM) with pinball loss (Pin-SVM) can handle noise sensitivity and instability to re-sampling but loses sparsity. To solve this…”
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Alternating DCA for reduced-rank multitask linear regression with covariance matrix estimation
ISSN: 1012-2443, 1573-7470Published: Cham Springer International Publishing 01.09.2022Published in Annals of mathematics and artificial intelligence (01.09.2022)“…We study a challenging problem in machine learning that is the reduced-rank multitask linear regression with covariance matrix estimation. The objective is to…”
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Journal Article -
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Online Learning Based on Online DCA and Application to Online Classification
ISSN: 1530-888X, 1530-888XPublished: United States 01.04.2020Published in Neural computation (01.04.2020)“…We investigate an approach based on DC (Difference of Convex functions) programming and DCA (DC Algorithm…”
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A Robust Regression Framework with Laplace Kernel-Induced Loss
ISSN: 1530-888X, 1530-888XPublished: United States 01.11.2017Published in Neural computation (01.11.2017)“… The problems are formulated as DC (difference of convex functions) programming. The corresponding DC algorithms (DCAs) converge linearly…”
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Journal Article -
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Open issues and recent advances in DC programming and DCA
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.03.2024Published in Journal of global optimization (01.03.2024)“…DC (difference of convex functions) programming and DC algorithm (DCA) are powerful tools for nonsmooth nonconvex optimization…”
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