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This paper considers the finite horizon portfolio rebalancing problem in terms of mean-variance optimization, where decisions are made based on current information on asset returns and transaction costs. The study's novelty is that the…

Methodology · Statistics 2025-08-21 Qingliang Fan , Marcelo C. Medeiros , Hanming Yang , Songshan Yang

In this paper, we study the portfolio optimization problem with general utility functions and when the return and volatility of underlying asset are slowly varying. An asymptotic optimal strategy is provided within a specific class of…

Mathematical Finance · Quantitative Finance 2016-11-08 Jean-Pierre Fouque , Ruimeng Hu

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

Systems and Control · Electrical Eng. & Systems 2025-01-20 Chung-Han Hsieh

We consider the problem of optimizing a portfolio of financial assets, where the number of assets can be much larger than the number of observations. The optimal portfolio weights require estimating the inverse covariance matrix of excess…

Portfolio Management · Quantitative Finance 2021-09-29 Anik Burman , Sayantan Banerjee

The portfolio optimization problem is a basic problem of financial analysis. In the study, an optimization model for constructing an options portfolio with a certain payoff function has been proposed. The model is formulated as an integer…

Pricing of Securities · Quantitative Finance 2017-07-10 Margarita E. Fatyanova , Mikhail E. Semenov

Each individual investor is different, with different financial goals, different levels of risk tolerance and different personal preferences. From the point of view of investment management, these characteristics are often defined as…

General Mathematics · Mathematics 2007-05-23 Jack Allen , Sukanto Bhattacharya , Florentin Smarandache

We investigate how and when to diversify capital over assets, i.e., the portfolio selection problem, from a signal processing perspective. To this end, we first construct portfolios that achieve the optimal expected growth in i.i.d.…

Portfolio Management · Quantitative Finance 2012-07-18 Sait Tunc , Mehmet A. Donmez , Suleyman S. Kozat

A random search algorithm intended to solve discrete optimization problems is considered. We outline the main components of the algorithm, and then describe it in more detail. We show how the algorithm can be implemented on parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-13 Nikolai K. Krivulin , Dennis Guster , Charles Hall

This paper investigates the problem of ensembling multiple strategies for sequential portfolios to outperform individual strategies in terms of long-term wealth. Due to the uncertainty of strategies' performances in the future market, which…

Portfolio Management · Quantitative Finance 2025-02-07 Duy Khanh Lam

This paper studies the portfolio optimization problem when the investor's utility is general and the return and volatility of the risky asset are fast mean-reverting, which are important to capture the fast-time scale in the modeling of…

Mathematical Finance · Quantitative Finance 2019-01-31 Ruimeng Hu

We present the first application of modern Hopfield networks to the problem of portfolio optimization. We performed an extensive study based on combinatorial purged cross-validation over several datasets and compared our results to both…

Machine Learning · Computer Science 2025-07-08 Carlo Nicolini , Monisha Gopalan , Jacopo Staiano , Bruno Lepri

In this contribution we provide initial findings to the problem of modeling fuzzy rating responses in a psychometric modeling context. In particular, we study a probabilistic tree model with the aim of representing the stage-wise mechanisms…

Methodology · Statistics 2022-07-06 Antonio Calcagnì , Luigi Lombardi

Robust optimization provides a principled framework for decision-making under uncertainty, with broad applications in finance, engineering, and operations research. In portfolio optimization, uncertainty in expected returns and covariances…

Statistical Finance · Quantitative Finance 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

Optimization and Control · Mathematics 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

Algorithm portfolios represent a strategy of composing multiple heuristic algorithms, each suited to a different class of problems, within a single general solver that will choose the best suited algorithm for each input. This approach…

Artificial Intelligence · Computer Science 2014-05-16 Petr Baudiš

Online portfolio selection is a fundamental problem in computational finance, which has been extensively studied across several research communities, including finance, statistics, artificial intelligence, machine learning, and data mining,…

Computational Finance · Quantitative Finance 2013-05-21 Bin Li , Steven C. H. Hoi

We revisit random search for stochastic optimization, where only noisy function evaluations are available. We show that the method works under weaker smoothness assumptions than previously considered, and that stronger assumptions enable…

Optimization and Control · Mathematics 2025-12-19 El Mahdi Chayti , Taha El Bakkali El Kadi , Omar Saadi , Martin Jaggi

Portfolio-based algorithm selection has seen tremendous practical success over the past two decades. This algorithm configuration procedure works by first selecting a portfolio of diverse algorithm parameter settings, and then, on a given…

Artificial Intelligence · Computer Science 2020-12-25 Maria-Florina Balcan , Tuomas Sandholm , Ellen Vitercik

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

Optimization and Control · Mathematics 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

We find economically and statistically significant gains when using machine learning for portfolio allocation between the market index and risk-free asset. Optimal portfolio rules for time-varying expected returns and volatility are…

Portfolio Management · Quantitative Finance 2021-11-05 Michael Pinelis , David Ruppert
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