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In this work, we explore the possibility of utilizing transfer learning techniques to address the financial portfolio optimization problem. We introduce a novel concept called "transfer risk", within the optimization framework of transfer…

Portfolio Management · Quantitative Finance 2023-07-26 Haoyang Cao , Haotian Gu , Xin Guo , Mathieu Rosenbaum

In modern financial markets, investors increasingly seek personalized and adaptive portfolio strategies that reflect their individual risk preferences and respond to dynamic market conditions. Traditional rule-based or static optimization…

Machine Learning · Computer Science 2025-12-16 Bangyu Li , Boping Gu , Ziyang Ding

We introduce a reinforcement learning framework for retail robo-advising. The robo-advisor does not know the investor's risk preference, but learns it over time by observing her portfolio choices in different market environments. We develop…

Portfolio Management · Quantitative Finance 2020-04-16 Humoud Alsabah , Agostino Capponi , Octavio Ruiz Lacedelli , Matt Stern

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

This paper presents a comparative analysis of the performances of three portfolio optimization approaches. Three approaches of portfolio optimization that are considered in this work are the mean-variance portfolio (MVP), hierarchical risk…

Machine Learning · Computer Science 2023-05-30 Jaydip Sen , Aditya Jaiswal , Anshuman Pathak , Atish Kumar Majee , Kushagra Kumar , Manas Kumar Sarkar , Soubhik Maji

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

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

Portfolio Management · Quantitative Finance 2009-09-21 Alex Dannenberg

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

Risk Management · Quantitative Finance 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović

This paper studies a continuous-time optimal portfolio selection problem in the complete market for a behavioral investor whose preference is of the prospect type with probability distortion. The investor concerns about the terminal…

Portfolio Management · Quantitative Finance 2022-11-11 Jing Peng , Pengyu Wei , Zuo Quan Xu

Machine learning (ML) methods have been successfully employed in identifying variables that can predict the equity premium of individual stocks. In this paper, we investigate if ML can also be helpful in selecting variables relevant for…

Portfolio Management · Quantitative Finance 2025-08-22 Guilherme V. Moura , André P. Santos , Hudson S. Torrent

In real-world decision-making problems, for instance in the fields of finance, robotics or autonomous driving, keeping uncertainty under control is as important as maximizing expected returns. Risk aversion has been addressed in the…

Machine Learning · Computer Science 2019-12-09 Lorenzo Bisi , Luca Sabbioni , Edoardo Vittori , Matteo Papini , Marcello Restelli

As the cornerstone of modern portfolio theory, Markowitz's mean-variance optimization is considered a major model adopted in portfolio management. However, due to the difficulty of estimating its parameters, it cannot be applied to all…

Machine Learning · Computer Science 2019-11-15 Mengying Zhu , Xiaolin Zheng , Yan Wang , Yuyuan Li , Qianqiao Liang

The portfolio optimization problem in which the variances of the return rates of assets are not identical is analyzed in this paper using the methodology of statistical mechanical informatics, specifically, replica analysis. We define two…

Portfolio Management · Quantitative Finance 2016-12-15 Takashi Shinzato

Transfer learning is an emerging and popular paradigm for utilizing existing knowledge from previous learning tasks to improve the performance of new ones. In this paper, we propose a novel concept of transfer risk and and analyze its…

Mathematical Finance · Quantitative Finance 2023-11-07 Haoyang Cao , Haotian Gu , Xin Guo , Mathieu Rosenbaum

Improvements in return forecast accuracy do not always lead to proportional improvements in portfolio decision quality, especially under realistic trading frictions and constraints. This paper adopts the Smart Predict--then--Optimize (SPO)…

Portfolio Management · Quantitative Finance 2026-01-13 Wang Yi , Takashi Hasuike

We use a replica approach to deal with portfolio optimization problems. A given risk measure is minimized using empirical estimates of asset values correlations. We study the phase transition which happens when the time series is too short…

Physics and Society · Physics 2009-11-13 Stefano Ciliberti , Marc Mezard

We study the continuous-time pre-commitment mean-variance portfolio selection in a time-varying financial market. By introducing two indexes which respectively express the average profitability of the risky asset (AP) and the current…

Mathematical Finance · Quantitative Finance 2024-08-16 Yu Li , Yuhan Wu , Shuhua Zhang

We construct the maximally predictable portfolio (MPP) of stocks using machine learning. Solving for the optimal constrained weights in the multi-asset MPP gives portfolios with a high monthly coefficient of determination, given the sample…

Computational Finance · Quantitative Finance 2023-11-06 Michael Pinelis , David Ruppert

We study active preference learning as a framework for intuitively specifying the behaviour of autonomous robots. In active preference learning, a user chooses the preferred behaviour from a set of alternatives, from which the robot learns…

Robotics · Computer Science 2020-09-30 Nils Wilde , Dana Kulic , Stephen L. Smith

Portfolio optimization has been an area that has attracted considerable attention from the financial research community. Designing a profitable portfolio is a challenging task involving precise forecasting of future stock returns and risks.…

Portfolio Management · Quantitative Finance 2023-07-12 Jaydip Sen , Subhasis Dasgupta