Difference of convex dc algorithm

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August undefined, 2024

WebThe boosted difference of convex functions algorithm (BDCA) was recently proposed for minimizing smooth difference of convex (DC) functions. BDCA accelerates the … WebJun 1, 2012 · Abstract. The concave-convex procedure (CCCP) is an iterative algorithm that solves d.c. (difference of convex functions) programs as a sequence of convex programs. In machine learning, CCCP is extensively used in many learning algorithms, including sparse support vector machines (SVMs), transductive SVMs, and sparse …

Alternating DC algorithm for partial DC programming problems

WebJul 17, 2024 · Abstract. We introduce two new algorithms to minimise smooth difference of convex (DC) functions that accelerate the convergence of the classical DC algorithm (DCA). We prove that the point computed by DCA can be used to define a descent direction for the objective function evaluated at this point. Our algorithms are based on a … WebApr 11, 2024 · One of the most popular methods solving the problem (1.1) is the difference-of-convex algorithm, whose core idea is to linearize the concave part of DC function at the current iteration point, and then get the next iteration by solving the convex subproblem. firefox browser w11

DC programming and DCA: thirty years of developments

WebWe consider a class of difference-of-convex (DC) ... While this kind of problems can be solved by the classical difference-of-convex algorithm (DCA) (Pham et al. Acta Math Vietnam 22:289---355, 1997), the difficulty of the subproblems of this algorithm depends heavily on the choice of DC decomposition. Simpler subproblems can be obtained by ... WebJan 22, 2024 · The CCP procedure can be applied to a DC programming problem in cases where the convex functions are non-smooth. Gradient descent can't be applied to DC … WebThe 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 f. The DC … ethan small fastball

Proximal DC Algorithm for Sample Average Approximation of …

(PDF) Algorithms for Difference-of-Convex (DC) Programs …

WebJun 9, 2024 · A proximal difference-of-convex algorithm with extrapolation to possibly accelerate the proximal DCA, and it is shown that any cluster point of the sequence generated by the algorithm is a stationary points of the DC optimization problem for a fairly general choice of extrapolation parameters. 113. Highly Influential. PDF. WebJan 4, 2024 · Difference of convex programming (DCP) is a kind of important optimization problem that the objective function can be written as the difference of convex (DC) functions. The DCP problem has found many applications in assignment and power allocation [ 1 ], digital communication system [ 2 ], compressed sensing [ 3 ], and so on [ … firefox bugzillaWeb2 days ago · 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 … ethan small college stats

"WebA. Difference of convex programming Difference of convex (DC) problems have the form minimize f 0(x) g 0(x) subject to f i(x) g i(x) 0; i= 1;:::;m; (1) where x2Rn is the … " - Difference of convex dc algorithm

Difference of convex dc algorithm

WebThere is a large class of functions f: R n ↦ R that are called DC because they can be represented as the difference of two convex functions, see for example [1,2]. This property can be exploited in various ways, especially for (hopefully global) optimization. WebAlthough DC programming had been known to be important for many applications much earlier, the first algorithm for minimizing differences of convex 1 Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR 97207, USA ([email protected]).

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Comments: 20 pages, 11 figures. Notes of a mini-course given at the CIRM in April … WebOct 25, 2024 · An Inertial Algorithm for DC Programming. W. Oliveira, M. Tcheou. Published 25 October 2024. Computer Science, Mathematics. Set-Valued and Variational Analysis. We consider nonsmooth optimization problems whose objective function is defined by the Difference of Convex (DC) functions. With the aim of computing critical points …

WebJan 1, 2024 · This work studies a class of structured chance constrained programs in the data-driven setting, where the objective function is a difference-of-convex (DC) function and the functions in the chance constraint are all convex. Chance constrained programming refers to an optimization problem with uncertain constraints that must be satisfied with at … Web2 days ago · 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 ...

WebJan 1, 2024 · A proximal difference-of-convex algorithm with extrapolation to possibly accelerate the proximal DCA, and it is shown that any cluster point of the sequence generated by the algorithm is a stationary points of the DC optimization problem for a fairly general choice of extrapolation parameters. WebMay 31, 2024 · Numerical results show the efficiency and the superiority of the alternating DCA comparing with the standard DCA as well as a well known alternating projection …

WebIt is well known that the method to solve the DCP is the so-called difference of the convex algorithm (DCA) in which the concave part is replaced by a linear majorant in the …

WebJul 18, 2024 · Further, based on the difference-of-convex (DC) structure of the relaxation problem, we design two DC algorithms to solve the relaxation problem. We prove that … ethans meaningWebMay 31, 2024 · DC (Difference of Convex functions) programming and DCA (DC Algorithm) play a key role in nonconvex programming framework. These tools have a rich and successful history of thirty five years of development, and the research in recent years is being increasingly explored to new trends in the development of DCA: design novel DCA … ethan small minor league statsWebApr 10, 2024 · This paper proposes a stochastic variant of DC algorithm and gives computational complexities to converge to a stationary point under several situations and … ethan smileyWebThe computational efficiency of DCA suggests to us a deeper and more complete study on DC programming, using the special class of DC programs (when either g or h is … ethan smith bloomington counseling centerWebMinimizing Differences of Convex Functions-The DCA Convex Functions Theorem Let fi: Rn!R be convex functions for all i = 1;:::;m. Then the following functions are convex as … ethan smith and the dirt road rebellion firefox bug bingWebWe investigate difference of convex functions DC programming and the DC algorithm DCA to solve the block clustering problem in the continuous framework, which … ethan s menu