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This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

The search heuristics Tabu search and Simulated annealing are commonly used meta-heuristics. The two heuristics have different ways of ensuring diversification. The heuristics can be implemented for solving the stowage planning problem. The…

Optimization and Control · Mathematics 2023-01-12 Eghbal Hosseini

This paper studies a robust continuous-time Markowitz portfolio selection pro\-blem where the model uncertainty carries on the covariance matrix of multiple risky assets. This problem is formulated into a min-max mean-variance problem over…

Portfolio Management · Quantitative Finance 2017-03-14 Amine Ismail , Huyên Pham

In this paper, we tackle the dynamic mean-variance portfolio selection problem in a {\it model-free} manner, based on (generative) diffusion models. We propose using data sampled from the real model $\mathbb P$ (which is unknown) with…

Portfolio Management · Quantitative Finance 2025-09-03 Ahmad Aghapour , Erhan Bayraktar , Fengyi Yuan

This paper studies the multi-period mean-variance portfolio allocation problem with transaction costs. Many methods have been proposed these last years to challenge the famous uni-period Markowitz strategy.But these methods cannot integrate…

Portfolio Management · Quantitative Finance 2023-06-21 Areski Cousin , Jérôme Lelong , Tom Picard

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Portfolio optimization emerged with the seminal paper of Markowitz (1952). The original mean-variance framework is appealing because it is very efficient from a computational point of view. However, it also has one well-established failing…

Portfolio Management · Quantitative Finance 2019-09-24 Sarah Perrin , Thierry Roncalli

We consider the optimization of active extension portfolios. For this purpose, the optimization problem is rewritten as a stochastic programming model and solved using a clever multi-start local search heuristic, which turns out to provide…

Portfolio Management · Quantitative Finance 2014-07-01 Ronald Hochreiter , Christoph Waldhauser

We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the objective function a penalty proportional to the…

Portfolio Management · Quantitative Finance 2013-01-01 Joshua Brodie , Ingrid Daubechies , Christine De Mol , Domenico Giannone , Ignace Loris

In this paper, we solve portfolio rebalancing problem when security returns are represented by uncertain variables considering transaction costs. The performance of the proposed model is studied using constant-proportion portfolio insurance…

Portfolio Management · Quantitative Finance 2018-12-20 Mostafa Zandieh , Seyed Omid Mohaddesi

In practice, including large number of assets in mean-variance portfolios can lead to higher transaction costs and management fees. To address this, one common approach is to select a smaller subset of assets from the larger pool,…

Mathematical Finance · Quantitative Finance 2025-02-18 Hyunglip Bae , Haeun Jeon , Minsu Park , Yongjae Lee , Woo Chang Kim

This paper explores the practical approach to portfolio selection methods for investments. The study delves into portfolio theory, discussing concepts such as expected return, variance, asset correlation, and opportunity sets. It also…

Portfolio Management · Quantitative Finance 2024-10-16 Carlos Minutti-Martinez

This research is focused on solving problems in the area of software project management using metaheuristic search algorithms and as such is research in the field of search based software engineering. The main aim of this research is to…

Neural and Evolutionary Computing · Computer Science 2016-05-09 Andy M. Connor , Amit Shah

In this paper, we study closed-loop equilibrium strategies for mean-variance portfolio selection problem in a hidden Markov model with dynamic attention behavior. In addition to the investment strategy, the investor's attention to news is…

Optimization and Control · Mathematics 2022-05-19 Y. Zhang , Z. Jin , J. Wei , G. Yin

Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected…

Optimization and Control · Mathematics 2010-04-07 F. Castro , J. Gago , I. Hartillo , J. Puerto , J. M. Ucha

Portfolio optimization under cardinality constraints transforms the classical Markowitz mean-variance problem from a convex quadratic problem into an NP-hard combinatorial optimization problem. This paper introduces a novel approach using…

Computational Finance · Quantitative Finance 2026-01-13 Javier Mancilla , Theodoros D. Bouloumis , Frederic Goguikian

The Equitable Coloring Problem is a variant of the Graph Coloring Problem where the sizes of two arbitrary color classes differ in at most one unit. This additional condition, called equity constraints, arises naturally in several…

Discrete Mathematics · Computer Science 2017-10-27 Isabel Méndez Díaz , Graciela Nasini , Daniel Severín

Optimal capital allocation between different assets is an important financial problem, which is generally framed as the portfolio optimization problem. General models include the single-period and multi-period cases. The traditional…

Portfolio Management · Quantitative Finance 2019-03-18 Masoud Fekri , Babak Barazandeh

We propose an alternative linearization to the classical Markowitz quadratic portfolio optimization model, based on maximum drawdown. This model, which minimizes maximum portfolio drawdown, is particularly appealing during times of…

Portfolio Management · Quantitative Finance 2024-01-08 Albert Dorador

Quadratic Assignment Problem (QAP) is an NP-hard combinatorial optimization problem, therefore, solving the QAP requires applying one or more of the meta-heuristic algorithms. This paper presents a comparative study between Meta-heuristic…

Artificial Intelligence · Computer Science 2014-07-21 Gamal Abd El-Nasser A. Said , Abeer M. Mahmoud , El-Sayed M. El-Horbaty