DC programming and DCA: thirty years of developments
HA Le Thi, T Pham Dinh - Mathematical Programming, 2018 - Springer
The year 2015 marks the 30th birthday of DC (Difference of Convex functions) programming
and DCA (DC Algorithms) which constitute the backbone of nonconvex programming and …
and DCA (DC Algorithms) which constitute the backbone of nonconvex programming and …
Variations and extension of the convex–concave procedure
T Lipp, S Boyd - Optimization and Engineering, 2016 - Springer
We investigate the convex–concave procedure, a local heuristic that utilizes the tools of
convex optimization to find local optima of difference of convex (DC) programming problems …
convex optimization to find local optima of difference of convex (DC) programming problems …
[PDF][PDF] Convex analysis approach to DC programming: theory, algorithms and applications
This paper is devoted to a thorough study on convex analysis approach to dc (difference of
convex functions) programming and gives the State of the Art. Main results about dc duality …
convex functions) programming and gives the State of the Art. Main results about dc duality …
The DC (difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
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 …
function f= g− h (with g, h being lower semicontinuous proper convex functions on R n) on …
A DC optimization algorithm for solving the trust-region subproblem
This paper is devoted to difference of convex functions (dc) optimization: dc duality, local
and global optimality conditions in dc programming, the dc algorithm (DCA), and its …
and global optimality conditions in dc programming, the dc algorithm (DCA), and its …
Solving a class of linearly constrained indefinite quadratic problems by DC algorithms
L Thi Hoai An, P Dinh Tao - Journal of global optimization, 1997 - Springer
Linearly constrained indefinite quadratic problems play an important role in global
optimization. In this paper we study dc theory and its local approachto such problems. The …
optimization. In this paper we study dc theory and its local approachto such problems. The …
Combined SVM-based feature selection and classification
Feature selection is an important combinatorial optimisation problem in the context of
supervised pattern classification. This paper presents four novel continuous feature …
supervised pattern classification. This paper presents four novel continuous feature …
DC optimization: theory, methods and algorithms
H Tuy - Handbook of global optimization, 1995 - Springer
Optimization problems involving dc functions (differences of convex functions) and dc sets
(differences of convex sets) occur quite frequently in operations research, economics …
(differences of convex sets) occur quite frequently in operations research, economics …
Feature grouping and selection over an undirected graph
High-dimensional regression/classification continues to be an important and challenging
problem, especially when features are highly correlated. Feature selection, combined with …
problem, especially when features are highly correlated. Feature selection, combined with …
[HTML][HTML] Discrete tomography by convex–concave regularization and DC programming
T Schüle, C Schnörr, S Weber, J Hornegger - Discrete Applied Mathematics, 2005 - Elsevier
We present a novel approach to the tomographic reconstruction of binary objects from few
projection directions within a limited range of angles. A quadratic objective functional over …
projection directions within a limited range of angles. A quadratic objective functional over …