English
Related papers

Related papers: A Relaxed Optimization Approach for Cardinality-Co…

200 papers

Portfolio optimization has long been dominated by covariance-based strategies, such as the Markowitz Mean-Variance framework. However, these approaches often fail to ensure a balanced risk structure across assets, leading to concentration…

Portfolio Management · Quantitative Finance 2025-08-07 Biswarup Chakraborty

We propose an iterative gradient-based algorithm to efficiently solve the portfolio selection problem with multiple spectral risk constraints. Since the conditional value at risk (CVaR) is a special case of the spectral risk measure, our…

Portfolio Management · Quantitative Finance 2015-03-26 Carlos Abad , Garud Iyengar

We present an end-to-end pipeline for large-scale portfolio selection with cardinality constraints and experimentally demonstrate it on trapped-ion quantum processors using hardware-aware decomposition. Building on RMT-based…

The sparse portfolio selection problem is one of the most famous and frequently-studied problems in the optimization and financial economics literatures. In a universe of risky assets, the goal is to construct a portfolio with maximal…

Optimization and Control · Mathematics 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright

The growing interest in cryptocurrencies has drawn the attention of the financial world to this innovative medium of exchange. This study aims to explore the impact of cryptocurrencies on portfolio performance. We conduct our analysis…

Portfolio Management · Quantitative Finance 2024-01-02 Vahidin Jeleskovic , Claudio Latini , Zahid I. Younas , Mamdouh A. S. Al-Faryan

Portfolio selection in the periodic investment of securities modeled by a multivariate Merton model with dependent jumps is considered. The optimization framework is designed to maximize expected terminal wealth when portfolio risk is…

Statistics Theory · Mathematics 2021-04-22 Bahareh Afhami , Mohsen Rezapour , Mohsen Madadi , Vahed Maroufy

In this paper we apply a heuristic method based on artificial neural networks in order to trace out the efficient frontier associated to the portfolio selection problem. We consider a generalization of the standard Markowitz mean-variance…

Neural and Evolutionary Computing · Computer Science 2007-07-30 Alberto Fernandez , Sergio Gomez

A financial portfolio contains assets that offer a return with a certain level of risk. To maximise returns or minimise risk, the portfolio must be optimised - the ideal combination of optimal quantities of assets must be found. The number…

Computational Engineering, Finance, and Science · Computer Science 2023-07-11 Alexander Nikiporenko

This paper studies a type of periodic utility maximization problems for portfolio management in incomplete stochastic factor models with convex trading constraints. The portfolio performance is periodically evaluated on the relative ratio…

Mathematical Finance · Quantitative Finance 2024-11-22 Wenyuan Wang , Kaixin Yan , Xiang Yu

Metaheuristic algorithms for cardinality-constrained portfolio optimization require repair operators to map infeasible candidates onto the feasible region. Standard Euclidean projection treats assets as independent and can ignore the…

Portfolio Management · Quantitative Finance 2025-12-24 Nikolaos Iliopoulos

It is widely recognized that when classical optimal strategies are applied with parameters estimated from data, the resulting portfolio weights are remarkably volatile and unstable over time. The predominant explanation for this is the…

Statistics Theory · Mathematics 2009-06-15 Carl Lindberg

We introduce performance-based regularization (PBR), a new approach to addressing estimation risk in data-driven optimization, to mean-CVaR portfolio optimization. We assume the available log-return data is iid, and detail the approach for…

Portfolio Management · Quantitative Finance 2012-03-28 Noureddine El Karoui , Andrew E. B. Lim , Gah-Yi Vahn

In this paper, we consider the cardinality-constrained optimization problems and propose a new sequential optimality condition for the continuous relaxation reformulation which is popular recently. It is stronger than the existing results…

Optimization and Control · Mathematics 2021-10-05 Liping Pang , Menglong Xue , Na Xu

We model the cardinality-constrained portfolio problem using semidefinite matrices and investigate a relaxation using semidefinite programming. Experimental results show that this relaxation generates tight lower bounds and even achieves…

Optimization and Control · Mathematics 2024-02-08 Angelika Wiegele , Shudian Zhao

In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is to optimize over a family of rank-based portfolios parameterized…

Portfolio Management · Quantitative Finance 2021-10-12 Steven Campbell , Ting-Kam Leonard Wong

This paper considers a quadratically-constrained cardinality minimization problem with applications to digital filter design, subset selection for linear regression, and portfolio selection. Two relaxations are investigated: the continuous…

Optimization and Control · Mathematics 2012-10-19 Dennis Wei

In matter of Portfolio selection, we consider a generalization of the Markowitz Mean-Variance model which includes buy-in threshold constraints. These constraints limit the amount of capital to be invested in each asset and prevent very…

Computational Engineering, Finance, and Science · Computer Science 2016-11-18 Hoai An Le Thi , Mahdi Moeini

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Portfolio optimization tasks describe sequential decision problems in which the investor's wealth is distributed across a set of assets. Allocation constraints are used to enforce minimal or maximal investments into particular subsets of…

Artificial Intelligence · Computer Science 2024-04-17 David Winkel , Niklas Strauß , Matthias Schubert , Thomas Seidl

Managing insurance and financial risk when data is limited is a key task in the insurance industry. In this paper, we focus on cases where the risk distribution is modeled as a mixture with some components estimable to high precision or…

Optimization and Control · Mathematics 2026-03-03 N. D. Shyamalkumar , Tianrun Wang