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 …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

[PDF][PDF] Convex analysis approach to DC programming: theory, algorithms and applications

PD Tao, LTH An - Acta mathematica vietnamica, 1997 - journals.math.ac.vn
This paper is devoted to a thorough study on convex analysis approach to dc (difference of
convex functions) programming and gives the State of the Art. Main results about dc duality …

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 …

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 …

Residual weighted learning for estimating individualized treatment rules

X Zhou, N Mayer-Hamblett, U Khan… - Journal of the American …, 2017 - Taylor & Francis
Personalized medicine has received increasing attention among statisticians, computer
scientists, and clinical practitioners. A major component of personalized medicine is the …

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 …

A DC optimization algorithm for solving the trust-region subproblem

PD Tao, LTH An - SIAM Journal on Optimization, 1998 - SIAM
This paper is devoted to difference of convex functions (dc) optimization: dc duality, local
and global optimality conditions in dc programming, the dc algorithm (DCA), and its …