We show that both problems can be cast as instances of DC-programming. We give an explicit decomposition of the corresponding functions as differences of convex functions (DC) and report the results of experiments demonstrating the effectiveness of the DCA algorithm applied to these problems.Pranjal...
DC. 3.Somesimpleexamples 1)x t Qx,Q=A-B,AandBarepositivesemi-definite. 2)x t y, 3)Letd M beadistancefunction,then d M (x)=inf{||x-y||:yinM}. Proofof3) 4.DCProgramming •4.1PrimalProblem •4.2DualProblem •4.3DCAlgorithm(DCA) 4.1PrimalProblem •Ageneralform 0 inf{():...
Mathematical programming problems dealing with functions, each of which can be represented as a difference of two convex functions, are called DC programming problems. The purpose of this overview is to discuss main theoretical results, some applications, and solution methods for this interesting and ...
We propose some new DC (difference of convex functions) programming approaches for solving the Bilinear Matrix Inequality (BMI) Feasibility Problems and the Quadratic Matrix Inequality (QMI) Feasibility Problems. They are both important NP-hard problems in the field of robust control and system theory...
DC Programming and DCA constitute the backbone of smooth/nonsmooth nonconvex programming and global optimization. They address the problem of minimizing a function f which is a difference of convex functions on the whole space Rp. Generally speaking, a DC program takes the formα=inf{f(x):=g...
As an innovative approach to nonconvex programming, Difference of Convex functions (DC) programming and DC Algorithms (DCA) have proved to be efficient for several problems in computational biology. The objective of this chapter is to show that grand challenge problems in bioinformatics and ...
1) DC-Programming 直流写 1. The key killers to the retention of Flash memory are three different types of disturbances,DC-Programming, DC-Erasure, and Drain Disturbance. 直流写、直流擦以及漏极干扰是影响Flash存储器长期有效保存数据的主要原因,本文在Mohammad失效模型的基础上提出了一个更优的测试算法,...
DC programming approaches for BMI and QMI feasibility problems. NIU Y S,TAO P D. Advanced Computational Methods for Knowledge Engineering . 2014Y. S. Niu and D. T. Pham, Dc programming approaches for bmi and qmi feasibility problems, Advanced Computational Methods for Knowledge Engineering: ...
On the Linear Convergence of Difference-of-convex Algorithms for Nonsmooth DC Programming In this paper we consider the linear convergence of algorithms for minimizing differenceof-convex functions with convex constraints. We allow nonsmoothness in both of the convex and concave components in the object...
A natural approach for this problem is a continuous relaxation that extends the problem to a continuous domain and applies the algorithm in continuous DC programming. By employing a special form of continuous relaxation, which is named "lin-vex extension," the optimal solution of the continuous ...