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Using daily returns of the S&P 500 stocks from 2001 to 2011, we perform a backtesting study of the portfolio optimization strategy based on the extreme risk index (ERI). This method uses multivariate extreme value theory to minimize the…

Portfolio Management · Quantitative Finance 2015-05-18 Georg Mainik , Georgi Mitov , Ludger Rüschendorf

In the practical business environment, portfolio managers often face business-driven requirements that limit the number of constituents in their tracking portfolio. A natural index tracking model is thus to minimize a tracking error measure…

Optimization and Control · Mathematics 2015-06-22 Fengmin Xu , Zhaosong Lu , Zongben Xu

In this work, we demonstrate how to apply non-linear cardinality constraints, important for real-world asset management, to quantum portfolio optimization. This enables us to tackle non-convex portfolio optimization problems using quantum…

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

The performance of the meta-heuristic algorithms often depends on their parameter settings. Appropriate tuning of the underlying parameters can drastically improve the performance of a meta-heuristic. The Ant Colony Optimization (ACO), a…

Neural and Evolutionary Computing · Computer Science 2017-07-07 Varun Kumar Ojha , Ajith Abraham , Vaclav Snasel

We propose a new splitting and successively solving augmented Lagrangian (SSAL) method for solving an optimization problem with both semicontinuous variables and a cardinality constraint. This optimization problem arises in several contexts…

Optimization and Control · Mathematics 2015-06-16 Yanqin Bai , Renli Liang , Zhouwang Yang

In this paper, we revisit the relationship between investors' utility functions and portfolio allocation rules. We derive portfolio allocation rules for asymmetric Laplace distributed $ALD(\mu,\sigma,\kappa)$ returns and compare them with…

Portfolio Management · Quantitative Finance 2023-11-14 Maxime Markov , Vladimir Markov

Efficient surgery room scheduling is essential for hospital efficiency, patient satisfaction, and resource utilization. This study addresses this challenge by introducing a novel concept of Random-Key Optimizer (RKO), rigorously tested on…

Neural and Evolutionary Computing · Computer Science 2025-01-27 Bruno Salezze Vieira , Eduardo Machado Silva , Antonio Augusto Chaves

In this paper, we aim at solving the cardinality constrained high-order portfolio optimization, i.e., mean-variance-skewness-kurtosis model with cardinality constraint (MVSKC). Optimization for the MVSKC model is of great difficulty in two…

Portfolio Management · Quantitative Finance 2021-06-11 Jinxin Wang , Zengde Deng , Taoli Zheng , Anthony Man-Cho So

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

In this paper, we propose a Hybrid Ant Colony Optimization algorithm (HACO) for Next Release Problem (NRP). NRP, a NP-hard problem in requirement engineering, is to balance customer requests, resource constraints, and requirement…

Neural and Evolutionary Computing · Computer Science 2017-04-18 He Jiang , Jingyuan Zhang , Jifeng Xuan , Zhilei Ren , Yan Hu

We describe an optimization-based tax-aware portfolio construction method that adds tax liability to standard Markowitz-based portfolio construction. Our method produces a trade list that specifies the number of shares to buy of each asset…

Optimization and Control · Mathematics 2021-02-23 Nicholas Moehle , Mykel J. Kochenderfer , Stephen Boyd , Andrew Ang

Gradient-free optimization methods, such as surrogate based optimization (SBO) methods, and genetic (GAs), or evolutionary (EAs) algorithms have gained popularity in the field of constrained optimization of expensive black-box functions.…

Optimization and Control · Mathematics 2021-07-22 Ahmed Abouhussein , Nusrat Islam , Yulia T. Peet

In the crowded environment of bio-inspired population-based metaheuristics, the Salp Swarm Optimization (SSO) algorithm recently appeared and immediately gained a lot of momentum. Inspired by the peculiar spatial arrangement of salp…

Neural and Evolutionary Computing · Computer Science 2021-11-09 Mauro Castelli , Luca Manzoni , Luca Mariot , Marco S. Nobile , Andrea Tangherloni

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

This paper proposes a new method for hyperparameter optimization (HPO) that balances exploration and exploitation. While evolutionary algorithms (EAs) show promise in HPO, they often struggle with effective exploitation. To address this, we…

Neural and Evolutionary Computing · Computer Science 2025-04-11 Chul Kim , Inwhee Joe

Context. Mathematical optimization can be used as a computational tool to obtain the optimal solution to a given problem in a systematic and efficient way. For example, in twice-differentiable functions and problems with no constraints, the…

Instrumentation and Methods for Astrophysics · Physics 2009-05-25 J. Canto , S. Curiel , E. Martinez-Gomez

Markowitz's celebrated mean--variance portfolio optimization theory assumes that the means and covariances of the underlying asset returns are known. In practice, they are unknown and have to be estimated from historical data. Plugging the…

Applications · Statistics 2011-08-05 Tze Leung Lai , Haipeng Xing , Zehao Chen

Meta-heuristics are powerful tools for solving optimization problems whose structural properties are unknown or cannot be exploited algorithmically. We propose such a meta-heuristic for a large class of optimization problems over discrete…

Discrete Mathematics · Computer Science 2021-06-22 Moritz Mühlenthaler , Alexander Raß , Manuel Schmitt , Rolf Wanka

Optimization problems aim to find the optimal solution, which is becoming increasingly complex and difficult to solve. Traditional evolutionary optimization methods always overlook the granular characteristics of solution space. In the real…

Machine Learning · Computer Science 2025-02-19 Shuyin Xia , Xinyu Lin , Guan Wang , De-Gang Chen , Sen Zhao , Guoyin Wang , Jing Liang
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