DifferenceOfConvex(DC)FunctionsandDCProgrammingSongcanChenOutline1.ABriefHistory2.DCFunctionsandtheirProperty3.Someexamples4.DCProgramming5.CaseStudy6.Ournextwork1.ABriefHistory•1964,HoangTuy,(incidentallyinhisconvexoptimizationpaper),•1979,J.F.Toland,Dualityformulation•1985,PhamDinhTao,DCAlgorithm•...
Annals of Operations ResearchL.T. Hoai An and P.D. Tao,"The DC (Difference of Convex Functions) Programming and DCA Revisited with DC Models of Real World Non- convex Optimization Problems," Annals of Operations Research, vol. 133, Issue 1-4, pp. 23-46, ...
The DC programming and its DC algorithm (DCA) address the problem of minimizing a function f = g h (with g , h being lower semicontinuous proper convex functions on R n ) on the whole space. Based on local optimality conditions and DC duality, DCA was successfully applied to a lot of...
LETTER Communicated by Leon Bottou Block Clustering Based on Difference of Convex Functions (DC) Programming and DC Algorithms Hoai Minh Le minh.le@univ-lorraine.fr Hoai An Le Thi hoai-an.le-thi@univ-lorraine.fr Laboratory of Theoretical and Applied Computer Science, University of Lorraine, ...
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 ...
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 research...
摘要: Biconvex and Difference of Convex functions (D.C.) problems are subclasses of the general C2nonlinear programming problems. However, they possess special structure and therefore are treated...DOI: 10.1007/978-1-4757-3040-1_6 年份: 1999 ...
DCA refers to optimization algorithms for difference of convex functions. For example, "basic DCA" introduced in DC programming and DCA: thirty years of developments, which is basically an iterative algorithm based on convex optimization. Does Convex.jl support DCA? Or, is there any plan for ...
Universum parametric-margin nu-support vector machine for classification using the difference of convex functions algorithmUniversum H Moosaei,F Bazikar,SHM Ketabchi - Applied Intelligence: The International Journal of Artificial Intelligence, Neural Networks, and Complex Problem-Solving Technologies 被引量...
We provide a criterion giving a formula for the directional (or contingent) subdifferential of the difference of two convex functions. We even extend it to the difference of two approximately starshaped functions. Our analysis relies on a notion of approximate monotonicity for operators which is muc...