H.Tuy, "Global Minimization of a Difference of Two Convex Functions," Mathematical Programming Study 30 (1987) 150-182.H. Tuy, Global minimization of a difference of two convex functions, Math. Prog. Study 30 (
(1986) On the Expressibility of Piecewise Linear Continuous Functions as the Difference of Two Piecewise Linear Convex Functions. Math. Program., Study 29: pp. 118-134D. Melzer, On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions...
A DC decomposition of the above objective function DC Formulation For all with A Question: is H(T, V) unconditionally convex? No! Condition ensuring H(T,V) Notice here B denotes a Ball and thus is convex! In fact, alpha can be 2 max{‖xk‖, k=1, 2, …, n} ! Proof (1) Proo...
We improve this result by constructing a delta convex function of class $C^1(\Bbb R^2)$ which cannot be represented as a difference of two convex functions differentiable at 0. Further we give an example of a delta convex function differentiable everywhere which is not strictly differentiable...
摘要: We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the -subdifferentials of the involved functions....
We offer an efficient approach based on difference of convex functions (DC) optimization for self-organizing maps (SOM). We consider SOM as an optimization problem with a nonsmooth, nonconvex energy function and investigated DC programming and DC algorithm (DCA), an innovative approach in nonconve...
'Squared Difference' refers to the computation of the square of the pixel-wise differences between two images, such as the generated HR image and the ground truth image, which is commonly used in evaluating image quality metrics like Mean Squared Error (MSE). ...
An approach to supervised distance metric learning based on difference of convex functions programming - bacnguyencong/DML-dc
1995: Quasidifferentiability in nonsmooth, nonconvex mechanics.J. Global Optim. 6, 327–345 Stavroulakis, G.E.; Mistakidis, E.S. 1995: Numerical treatment of hemivariational inequalities in mechanics: two methods based on the solution of convex subproblems.Comput. Mech. 16, 406–416 ...
This paper is concerned with a free-time optimal control problem for nonconvex-valued differential inclusions with a nonsmooth cost functional in the form of Bolza and general endpoint constraints involving free time. We develop a finite difference metho