DifferenceOfConvex(DC) FunctionsandDCProgramming SongcanChen Outline 1.ABriefHistory 2.DCFunctionsandtheirProperty 3.Someexamples 4.DCProgramming 5.CaseStudy 6.Ournextwork 1.ABriefHistory •1964,HoangTuy,(incidentallyinhisconvex optimizationpaper), •1979,J.F.Toland,Dualityformulation •1985,Pham...
The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems - An, Tao - 2005H. A Le Thi and T. Pham Dinh. The dc (difference of convex functions) programming and dca revisited with dc model...
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, ...
Due to the use of the ramp loss function, the corresponding objective function is nonconvex, making it more challenging. To overcome this limitation, we formulate our distance metric learning problem as an instance of difference of convex functions (DC) programming. This allows us to design a ...
DCA的收敛性完全可以保证，这是由于DCA是一个单调算法，也就是说，如果你要用DCA去minimize一个objective...
Gaudioso, M., Giallombardo, G., Miglionico, G.: Minimizing piecewise-concave functions over polyhedra. Math. Oper. Res. 43(2), 580–597 (2018) Article MathSciNet Google Scholar An, L.T.H., Tao, P.D.: The DC (difference of convex functions) programming and DCA revisited with DC...
An approach to supervised distance metric learning based on difference of convex functions programming - bacnguyencong/DML-dc
optimization, Bosted difference of convex... Learn more about optimization, dc-problem, mathematics Optimization Toolbox
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 ...
This study proposes a bilevel optimization schema tailored for hyperparameter selection in SVR, subsequently recasting the problem into a Difference of Convex functions model (DC). We delineate convergence outcomes for this approach. Through computational experiments, the efficacy of this methodology is ...