Webof convex functions, called DC - Difference of Convex - functions. We now define such functions formally. Definition 1.1. Let f be a real valued function mapping R. n. to R. Then f is a DC function if there exist convex functions, g, h : R. n. → R such that f can be decomposed as the difference between g and h: f(x) = g(x) − h(x) ∀x ... WebDec 19, 2016 · We consider a class of difference-of-convex (DC) optimization problems whose objective is level-bounded and is the …

[2111.01290] A boosted DC algorithm for non-differentiable DC ...

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 … 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 … scientist with goggles

Nonmonotone Enhanced Proximal DC Algorithms for a Class of …

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 · 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 … WebIn this paper we consider a class of structured nonsmooth difference-of-convex (DC) minimization in which the first convex component is the sum of a smooth and a nonsmooth function while the second convex component is the supremum of finitely many convex smooth functions. The existing methods for this problem usually have weak convergence … scientist with orange jumpsuit