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 …

An artificial bee colony algorithm with feasibility enforcement and infeasibility toleration procedures for cardinality constrained portfolio optimization

CB Kalayci, O Ertenlice, H Akyer, H Aygoren - Expert Systems with …, 2017 - Elsevier
One of the most studied variant of portfolio optimization problems is with cardinality
constraints that transform classical mean–variance model from a convex quadratic …

Multiperiod mean absolute deviation fuzzy portfolio selection model with risk control and cardinality constraints

P Zhang, WG Zhang - Fuzzy sets and systems, 2014 - Elsevier
This paper considers a multiperiod fuzzy portfolio selection problem maximizing the terminal
wealth imposed by risk control, in which the returns of assets are characterized by …

A constrained portfolio selection model at considering risk-adjusted measure by using hybrid meta-heuristic algorithms

IB Salehpoor, S Molla-Alizadeh-Zavardehi - Applied Soft Computing, 2019 - Elsevier
Portfolio selection is a key issue in the business world and financial fields. This article
presents a new decision making method of portfolio optimization (PO) issues in different risk …

Long-short portfolio optimization under cardinality constraints by difference of convex functions algorithm

HA Le Thi, M Moeini - Journal of Optimization Theory and Applications, 2014 - Springer
In the matter of Portfolio selection, we consider an extended version of the Mean-Absolute
Deviation (MAD) model, which includes discrete asset choice constraints (threshold and …

An interval mean–average absolute deviation model for multiperiod portfolio selection with risk control and cardinality constraints

P Zhang - Soft Computing, 2016 - Springer
Interval number is a kind of special fuzzy number and the interval approach is a good
method to deal with some uncertainty. An interval mean–average absolute deviation model …

Multiperiod mean absolute deviation uncertain portfolio selection with real constraints

P Zhang - Soft computing, 2019 - Springer
Absolute deviation is a commonly used risk measure, which has attracted more attentions in
portfolio optimization. Most of existing mean–absolute deviation models are devoted to …

Robust investment strategies with discrete asset choice constraints using DC programming

N Gulpinar, LTH An, M Moeini - Optimization, 2010 - Taylor & Francis
In this article, we are concerned with robust investment strategies for the portfolio
management problem. We extend the classical Markowitz framework with discrete asset …

DCA based approaches for bi-level variable selection and application for estimate multiple sparse covariance matrices

HA Le Thi, DN Phan, TP Dinh - Neurocomputing, 2021 - Elsevier
Variable selection plays an important role in analyzing high dimensional data and is a
fundamental problem in machine learning. When the data possesses certain group …

Deterministic and stochastic DCA for DC programming

HAL Thi, TP Dinh, HPH Luu, HM Le - Springer Handbook of Engineering …, 2023 - Springer
In the context of big data analysis, stochastic optimization algorithms are widely used as
effective tools to handle data complexity and data uncertainty. These algorithms usually aim …