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 …
Parallel and distributed methods for constrained nonconvex optimization—Part I: Theory
G Scutari, F Facchinei… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
In this two-part paper, we propose a general algorithmic framework for the minimization of a
nonconvex smooth function subject to nonconvex smooth constraints, and also consider …
nonconvex smooth function subject to nonconvex smooth constraints, and also consider …
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 …
Integrated sensing and communication assisted mobile edge computing: An energy-efficient design via intelligent reflecting surface
In this letter, we propose an integrated sensing and communication (ISAC) assisted energy-
efficient mobile edge computing (MEC). To address the performance degradation due to …
efficient mobile edge computing (MEC). To address the performance degradation due to …
DC approximation approaches for sparse optimization
Sparse optimization refers to an optimization problem involving the zero-norm in objective or
constraints. In this paper, nonconvex approximation approaches for sparse optimization …
constraints. In this paper, nonconvex approximation approaches for sparse optimization …
Computing B-stationary points of nonsmooth DC programs
JS Pang, M Razaviyayn… - … of Operations Research, 2017 - pubsonline.informs.org
Motivated by a class of applied problems arising from physical layer based security in a
digital communication system, in particular, by a secrecy sum-rate maximization problem …
digital communication system, in particular, by a secrecy sum-rate maximization problem …
Minimization of transformed penalty: theory, difference of convex function algorithm, and robust application in compressed sensing
We study the minimization problem of a non-convex sparsity promoting penalty function, the
transformed l_1 l 1 (TL1), and its application in compressed sensing (CS). The TL1 penalty …
transformed l_1 l 1 (TL1), and its application in compressed sensing (CS). The TL1 penalty …
Learning in repeated auctions
Online auctions are one of the most fundamental facets of the modern economy and power
an industry generating hundreds of billions of dollars a year in revenue. Auction theory has …
an industry generating hundreds of billions of dollars a year in revenue. Auction theory has …
Energy-efficient base station association and beamforming for multi-cell multiuser systems
This chapter investigates the energy-efficient base station (BS) association and
beamforming for multi-cell multiuser systems. Section 10.1 introduces the motivation of …
beamforming for multi-cell multiuser systems. Section 10.1 introduces the motivation of …