Recent advances in DC programming and DCA
T Pham Dinh, HA Le Thi - Transactions on computational intelligence XIII, 2014 - Springer
Difference of Convex functions (DC) Programming and DC Algorithm (DCA) constitute the
backbone of Nonconvex Programming and Global Optimization. The paper is devoted to the …
backbone of Nonconvex Programming and Global Optimization. The paper is devoted to the …
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 …
Algorithms and theory for multiple-source adaptation
We present a number of novel contributions to the multiple-source adaptation problem. We
derive new normalized solutions with strong theoretical guarantees for the cross-entropy …
derive new normalized solutions with strong theoretical guarantees for the cross-entropy …
Minimization of for Compressed Sensing
We study minimization of the difference of \ell_1 and \ell_2 norms as a nonconvex and
Lipschitz continuous metric for solving constrained and unconstrained compressed sensing …
Lipschitz continuous metric for solving constrained and unconstrained compressed sensing …
[图书][B] Convex analysis and global optimization
H Tuy, T Hoang, T Hoang, V Mathématicien, T Hoang… - 1998 - Springer
Optimization has been expanding in all directions at an astonishing rate during the last few
decades. New algorithmic and theoretical techniques have been developed, the diffusion …
decades. New algorithmic and theoretical techniques have been developed, the diffusion …
Nonmonotone spectral projected gradient methods on convex sets
Nonmonotone projected gradient techniques are considered for the minimization of
differentiable functions on closed convex sets. The classical projected gradient schemes are …
differentiable functions on closed convex sets. The classical projected gradient schemes are …
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 …
Open issues and recent advances in DC programming and DCA
HA Le Thi, T Pham Dinh - Journal of Global Optimization, 2024 - Springer
DC (difference of convex functions) programming and DC algorithm (DCA) are powerful
tools for nonsmooth nonconvex optimization. This field was created in 1985 by Pham Dinh …
tools for nonsmooth nonconvex optimization. This field was created in 1985 by Pham Dinh …
Multi-instance multi-label learning
In this paper, we propose the MIML (Multi-Instance Multi-Label learning) framework where
an example is described by multiple instances and associated with multiple class labels …
an example is described by multiple instances and associated with multiple class labels …