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 …

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 …

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 …

Algorithms and theory for multiple-source adaptation

J Hoffman, M Mohri, N Zhang - Advances in neural …, 2018 - proceedings.neurips.cc
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 …

Minimization of for Compressed Sensing

P Yin, Y Lou, Q He, J Xin - SIAM Journal on Scientific Computing, 2015 - SIAM
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 …

[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 …

Nonmonotone spectral projected gradient methods on convex sets

EG Birgin, JM Martínez, M Raydan - SIAM Journal on Optimization, 2000 - SIAM
Nonmonotone projected gradient techniques are considered for the minimization of
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

LTH An, PD Tao - Annals of operations research, 2005 - Springer
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 …

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 …

Multi-instance multi-label learning

ZH Zhou, ML Zhang, SJ Huang, YF Li - Artificial Intelligence, 2012 - Elsevier
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 …