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 …

Content-centric sparse multicast beamforming for cache-enabled cloud RAN

M Tao, E Chen, H Zhou, W Yu - IEEE Transactions on Wireless …, 2016 - ieeexplore.ieee.org
This paper presents a content-centric transmission design in a cloud radio access network
by incorporating multicasting and caching. Users requesting the same content form a …

Communications, caching, and computing for mobile virtual reality: Modeling and tradeoff

Y Sun, Z Chen, M Tao, H Liu - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Virtual reality (VR) over wireless is emerging as an important use case of 5G networks. Fully-
immersive VR experience requires the wireless delivery of huge data at ultra-low latency …

Distributed nonconvex constrained optimization over time-varying digraphs

G Scutari, Y Sun - Mathematical Programming, 2019 - Springer
This paper considers nonconvex distributed constrained optimization over networks,
modeled as directed (possibly time-varying) graphs. We introduce the first algorithmic …

Improving physical layer security using UAV-enabled mobile relaying

Q Wang, Z Chen, W Mei, J Fang - IEEE Wireless …, 2017 - ieeexplore.ieee.org
Mobile relaying has aroused great interest in wireless communications recently, thanks to
the rapid development and evolvement of unmanned aerial vehicles. This letter establishes …

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 …

A smoothing proximal gradient algorithm for nonsmooth convex regression with cardinality penalty

W Bian, X Chen - SIAM Journal on Numerical Analysis, 2020 - SIAM
In this paper, we focus on the constrained sparse regression problem, where the loss
function is convex but nonsmooth and the penalty term is defined by the cardinality function …

Minimization of transformed penalty: theory, difference of convex function algorithm, and robust application in compressed sensing

S Zhang, J Xin - Mathematical Programming, 2018 - Springer
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 …