今天介绍的这种算法,Difference of Convex Algorithm,也就是DCA,以便咱们解决非凸优化问题。 但这种问题仅仅针对某些特定情况。 首先,咱们对这串英文进行解读,Difference理解为差,convex是凸,即凸函数,algorithm嘛,你们自己查词典,哈哈哈。所以呢,DCA就是两个凸函数的差的算法。 你们肯定懵逼了,啥凸函数的差?Emmm, ...
We first develop an equivalent Difference of Convex functions (DC) representation for the non-convex Boolean constraint imposed on the association variables, making the problem tractable. Then, a DC algorithm is derived to efficiently solve the resulting optimization problem. Simulation results ...
Proofof3) 4.DCProgramming •4.1PrimalProblem •4.2DualProblem •4.3DCAlgorithm(DCA) 4.1PrimalProblem •Ageneralform 0 inf{():,()0,1,2,...,} n i fxxXRfximα=∈⊆≤= Wheref i =g i -h i ,i=1,2,…,mareDCfunctionsandXis aclosedconvexsubsetofR n . Constrained(closed)SetX...
This paper studies the difference-of-convex (DC) penalty formulations and the associated difference-of-convex algorithm (DCA) for computing stationary solutions of linear programs with complementarity constraints (LPCCs). We focus on three such formulations and establish connections between their stationar...
We present a fast and robust nonconvex optimization approach for Fuzzy C-Means (FCM) clustering model. Our approach is based on DC (Difference of Convex functions) programming and DCA (DC Algorithms) that have been successfully applied in various fields of applied sciences, including Machine Learn...
de Oliveira, W., Tcheou, M.P.: An inertial algorithm for DC programming. Set-Valued Var. Anal. 27(4), 895–919 (2019) Article MathSciNet Google Scholar Tuy, H.: Convex Analysis and Global Optimization, Nonconvex Optimization and Its Applications, vol. 22. Springer, Berlin (2016) Bo...
convex CPWL function as the pointwise-maximum over a set of affine functions, the DC CPWL representation enables the polytope regions defining a CPWL function to be implicitly defined by the affine functions making up the convex components. By searching the affine functions of the convex ...
DML-dc An approach to supervised distance metric learning based on difference of convex functions programming DML-dc contains the implementation of Distance Metric Learning using DC programming. For any question, please contact Bac Nguyen. Abstract Distance metric learning has motivated a great deal of...
Two new penalty methods for sparse reconstruction are proposed based on two types of difference of convex functions (DC for short) programming in which the DC objective functions are the difference of l1 and lσ q norms and the difference of l1 and lr norms with r > 1. By introducing a ...
Optimality conditions and DC-Dinkelbach-type algorithm for vector fractional programming problems with ratios of difference of convex functions In this paper, firstly, the necessary and sufficie A. Ghazi,A. Roubi 被引量: 0发表: 2023年 Optimality Conditions and Duality Results for a Class of Diffe...