A proximal difference-of-convex algorithm with extrapolation
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DOI: 10.1007/s10589-017-9954-1
Abstract: We consider a class of difference-of-convex (DC) optimization problems whose objective is level-bounded and is the sum of a smooth convex function with Lipschitz gradient, a proper closed convex function and a continuous concave function.… read more here.
Keywords: difference convex; dca; extrapolation; convex ... See more keywords
Convergence Analysis of Difference-of-Convex Algorithm with Subanalytic Data
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1345-y
Abstract: Difference-of-Convex programming and related algorithms, which constitute the backbone of nonconvex programming and global optimization, were introduced in 1985 by Pham Dinh Tao and have been extensively developed by Le Thi Hoai An and Pham… read more here.
Keywords: convergence analysis; difference convex; difference; subanalytic data ... See more keywords
Smoothing techniques and difference of convex functions algorithms for image reconstructions
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DOI: 10.1080/02331934.2019.1648467
Abstract: Abstract In this paper, we study characterizations of differentiability for real-valued functions based on generalized differentiation. These characterizations provide the mathematical foundation for Nesterov's smoothing techniques in infinite dimensions. As an application, we provide a… read more here.
Keywords: difference convex; convex functions; techniques difference; smoothing techniques ... See more keywords
Device-Free Localization via Dictionary Learning With Difference of Convex Programming
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DOI: 10.1109/jsen.2017.2730226
Abstract: In this paper, we consider a method to solve the device-free localization (DFL) problem that is able to detect spatial obstruction via wireless network. A dictionary learning approach with difference of convex (DC) programming and… read more here.
Keywords: difference convex; device free; dictionary learning; convex ... See more keywords
Convergence Rate Analysis of the Proximal Difference of the Convex Algorithm
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DOI: 10.1155/2021/5629868
Abstract: In this paper, we study the convergence rate of the proximal difference of the convex algorithm for the problem with a strong convex function and two convex functions. By making full use of the special… read more here.
Keywords: difference convex; proximal difference; convex; convex algorithm ... See more keywords
An Accelerated Proximal Algorithm for the Difference of Convex Programming
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Problems in Engineering"
DOI: 10.1155/2021/9994015
Abstract: In this paper, we propose an accelerated proximal point algorithm for the difference of convex (DC) optimization problem by combining the extrapolation technique with the proximal difference of convex algorithm. By making full use of… read more here.
Keywords: difference convex; accelerated proximal; algorithm; algorithm difference ... See more keywords