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Effectively encoding inequality constraints is a primary obstacle in applying quantum algorithms to financial optimization. A quantum model for Markowitz portfolio optimization is presented that resolves this by embedding slack variables…

Optimization and Control · Mathematics 2026-01-08 Pablo Thomassin , Guillaume Guerard , Sonia Djebali , Vincent Marc Lambert

In portfolio optimization, decision makers face difficulties from uncertainties inherent in real-world scenarios. These uncertainties significantly influence portfolio outcomes in both classical and multi-objective Markowitz models. To…

Portfolio Management · Quantitative Finance 2026-01-07 Yannick Becker , Pascal Halffmann , Anita Schöbel

Portfolio optimization is a primary component of the decision-making process in finance, aiming to tactfully allocate assets to achieve optimal returns while considering various constraints. Herein, we proposed a method that uses the…

Quantum Physics · Physics 2024-12-24 Chansreynich Huot , Kimleang Kea , Tae-Kyung Kim , Youngsun Han

Portfolio optimization in real-world financial markets is notoriously difficult due to non-stationarity, noisy data, and high transaction costs. Standard predict-then-optimize methods first forecast returns and then solve for weights,…

Portfolio Management · Quantitative Finance 2026-05-29 Rahul Fernandes , Travis Desell

We propose a distributionally robust formulation of the traditional risk parity portfolio optimization problem. Distributional robustness is introduced by targeting the discrete probabilities attached to each observation used during…

Optimization and Control · Mathematics 2021-10-14 Giorgio Costa , Roy H. Kwon

Mean-variance portfolio optimization problems often involve separable nonconvex terms, including penalties on capital gains, integer share constraints, and minimum position and trade sizes. We propose a heuristic algorithm for such problems…

Optimization and Control · Mathematics 2022-07-04 Nicholas Moehle , Jack Gindi , Stephen Boyd , Mykel Kochenderfer

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

This paper is devoted to the theoretical and numerical investigation of an augmented Lagrangian method for the solution of optimization problems with geometric constraints. Specifically, we study situations where parts of the constraints…

Optimization and Control · Mathematics 2022-04-20 Xiaoxi Jia , Christian Kanzow , Patrick Mehlitz , Gerd Wachsmuth

This paper presents a novel framework for analyzing the optimal asset and signal combination problem. Our approach builds upon the dynamic portfolio selection problem introduced by Brandt and Santa-Clara (2006) and consists of two stages.…

Portfolio Management · Quantitative Finance 2023-07-13 Nikan Firoozye , Vincent Tan , Stefan Zohren

This paper is devoted to study the optimal portfolio problem. Harry Markowitz's Ph.D. thesis prepared the ground for the mathematical theory of finance. In modern portfolio theory, we typically find asset returns that are modeled by a…

Portfolio Management · Quantitative Finance 2014-06-30 Hassan Omidi Firouzi , Andrew Luong

Market conditions change continuously. However, in portfolio's investment strategies, it is hard to account for this intrinsic non-stationarity. In this paper, we propose to address this issue by using the Inverse Covariance Clustering…

Statistical Finance · Quantitative Finance 2022-01-17 Yuanrong Wang , Tomaso Aste

In this paper we address cardinality estimation problem which is an important subproblem in query optimization. Query optimization is a part of every relational DBMS responsible for finding the best way of the execution for the given query.…

Databases · Computer Science 2017-11-23 Oleg Ivanov , Sergey Bartunov

In this paper, we develop a time-series-based signed network model for dimensionality reduction in portfolio optimization, grounded in Markowitz's portfolio theory and extended to incorporate higher-order moments of asset return…

Combinatorics · Mathematics 2026-05-28 Bibhas Adhikari

A drawdown constraint forces the current wealth to remain above a given function of its maximum to date. We consider the portfolio optimisation problem of maximising the long-term growth rate of the expected utility of wealth subject to a…

Portfolio Management · Quantitative Finance 2013-04-23 Vladimir Cherny , Jan Obloj

We extend the classical mean-variance (MV) framework and propose a robust and sparse portfolio selection model incorporating an ellipsoidal uncertainty set to reduce the impact of estimation errors and fixed transaction costs to penalize…

Portfolio Management · Quantitative Finance 2024-12-30 J. Chen , S. D. Ahipaşaoğlu , N. Zhang , Y. Yang

Traditional approaches to portfolio optimization, often rooted in Modern Portfolio Theory and solved via quadratic programming or evolutionary algorithms, struggle with scalability or flexibility, especially in scenarios involving complex…

Computational Engineering, Finance, and Science · Computer Science 2025-07-23 Christian Oliva , Pedro R. Ventura , Luis F. Lago-Fernández

Risk aversion plays a significant and central role in investors' decisions in the process of developing a portfolio. In this framework of portfolio optimization we determine the portfolio that possesses the minimal risk by using a new…

Portfolio Management · Quantitative Finance 2020-09-21 Frédéric Butin

This paper studies online optimization under inventory (budget) constraints. While online optimization is a well-studied topic, versions with inventory constraints have proven difficult. We consider a formulation of inventory-constrained…

Performance · Computer Science 2024-12-20 Qiulin Lin , Hanling Yi , John Pang , Minghua Chen , Adam Wierman , Michael Honig , Yuanzhang Xiao

The classical Markowitz mean-variance model uses variance as a risk measure and calculates frontier portfolios in closed form by using standard optimization techniques. For general mean-risk models such closed form optimal portfolios are…

Mathematical Finance · Quantitative Finance 2026-03-17 Hasanjan Sayit

Financial portfolio optimization is a widely studied problem in mathematics, statistics, financial and computational literature. It adheres to determining an optimal combination of weights associated with financial assets held in a…

Portfolio Management · Quantitative Finance 2013-01-21 Ankit Dangi