A survey of optimization approaches for wireless physical layer security

D Wang, B Bai, W Zhao, Z Han - IEEE Communications Surveys …, 2018 - ieeexplore.ieee.org
Due to the malicious attacks in wireless networks, physical layer security has attracted
increasing concerns from both academia and industry. The research on physical layer …

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 …

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 …

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 …

[图书][B] Modern nonconvex nondifferentiable optimization

Y Cui, JS Pang - 2021 - SIAM
Mathematical optimization has always been at the heart of engineering, statistics, and
economics. In these applied domains, optimization concepts and methods have often been …

DC formulations and algorithms for sparse optimization problems

J Gotoh, A Takeda, K Tono - Mathematical Programming, 2018 - Springer
We propose a DC (Difference of two Convex functions) formulation approach for sparse
optimization problems having a cardinality or rank constraint. With the largest-k norm, an …

DC approximation approaches for sparse optimization

HA Le Thi, TP Dinh, HM Le, XT Vo - European Journal of Operational …, 2015 - Elsevier
Sparse optimization refers to an optimization problem involving the zero-norm in objective or
constraints. In this paper, nonconvex approximation approaches for sparse optimization …

DC-programming for neural network optimizations

P Awasthi, A Mao, M Mohri, Y Zhong - Journal of Global Optimization, 2024 - Springer
We discuss two key problems related to learning and optimization of neural networks: the
computation of the adversarial attack for adversarial robustness and approximate …

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 …