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Portfolio optimization constitutes a cornerstone of risk management by quantifying the risk-return trade-off. Since it inherently depends on accurate parameter estimation under conditions of future uncertainty, the selection of appropriate…

Portfolio Management · Quantitative Finance 2025-08-15 Juchan Kim , Inwoo Tae , Yongjae Lee

Portfolio Management is the process of overseeing a group of investments, referred to as a portfolio, with the objective of achieving predetermined investment goals. Portfolio optimization is a key component that involves allocating the…

Portfolio Management · Quantitative Finance 2026-02-20 Srijan Sood , Kassiani Papasotiriou , Marius Vaiciulis , Tucker Balch

Decision-focused learning (DFL) is attractive for portfolio optimization because it trains predictors according to downstream decision quality rather than prediction accuracy alone. However, SPO(Smart, Predict then Optimize surrogate)-based…

Portfolio Management · Quantitative Finance 2026-05-25 Yi Wang , Takashi Hasuike

The portfolio optimisation problem, first raised by Harry Markowitz in 1952, has been a fundamental and central topic to understanding the stock market and making decisions. There has been plenty of works contributing to development of the…

Portfolio Management · Quantitative Finance 2019-07-09 Xiang Meng

Portfolio optimization emerged with the seminal paper of Markowitz (1952). The original mean-variance framework is appealing because it is very efficient from a computational point of view. However, it also has one well-established failing…

Portfolio Management · Quantitative Finance 2019-09-24 Sarah Perrin , Thierry Roncalli

Decision-focused learning (DFL) offers an end-to-end approach to the predict-then-optimize (PO) framework by training predictive models directly on decision loss (DL), enhancing decision-making performance within PO contexts. However, the…

Machine Learning · Computer Science 2025-04-15 Jiaqi Yang , Enming Liang , Zicheng Su , Zhichao Zou , Peng Zhen , Jiecheng Guo , Wanjing Ma , Kun An

Decision-making under uncertainty is often considered in two stages: predicting the unknown parameters, and then optimizing decisions based on predictions. While traditional prediction-focused learning (PFL) treats these two stages…

Machine Learning · Computer Science 2025-09-11 Haeun Jeon , Hyunglip Bae , Chanyeong Kim , Yongjae Lee , Woo Chang Kim

Modeling and managing portfolio risk is perhaps the most important step to achieve growing and preserving investment performance. Within the modern portfolio construction framework that built on Markowitz's theory, the covariance matrix of…

Risk Management · Quantitative Finance 2021-10-28 Hengxu Lin , Dong Zhou , Weiqing Liu , Jiang Bian

In portfolio analysis, the traditional approach of replacing population moments with sample counterparts may lead to suboptimal portfolio choices. I show that optimal portfolio weights can be estimated using a machine learning (ML)…

Portfolio Management · Quantitative Finance 2018-07-31 Daniel Kinn

Decision-Focused Learning (DFL) is an emerging learning paradigm that tackles the task of training a machine learning (ML) model to predict missing parameters of an incomplete optimization problem, where the missing parameters are…

Machine Learning · Computer Science 2025-06-23 Yehya Farhat

Decision-focused learning (DFL) is an increasingly popular paradigm for training predictive models whose outputs are used in decision-making tasks. Instead of merely optimizing for predictive accuracy, DFL trains models to directly minimize…

Machine Learning · Computer Science 2026-03-10 Aymeric Capitaine , Maxime Haddouche , Eric Moulines , Michael I. Jordan , Etienne Boursier , Alain Durmus

Traditional portfolio management methods can incorporate specific investor preferences but rely on accurate forecasts of asset returns and covariances. Reinforcement learning (RL) methods do not rely on these explicit forecasts and are…

Portfolio Management · Quantitative Finance 2022-03-23 Ruan Pretorius , Terence van Zyl

Decision-focused learning (DFL) is an emerging paradigm that integrates machine learning (ML) and constrained optimization to enhance decision quality by training ML models in an end-to-end system. This approach shows significant potential…

Machine Learning · Computer Science 2024-09-05 Jayanta Mandi , James Kotary , Senne Berden , Maxime Mulamba , Victor Bucarey , Tias Guns , Ferdinando Fioretto

While researchers in the asset management industry have mostly focused on techniques based on financial and risk planning techniques like Markowitz efficient frontier, minimum variance, maximum diversification or equal risk parity, in…

Machine Learning · Computer Science 2020-10-20 Eric Benhamou , David Saltiel , Sandrine Ungari , Abhishek Mukhopadhyay

Portfolio optimization involves determining the optimal allocation of portfolio assets in order to maximize a given investment objective. Traditionally, some form of mean-variance optimization is used with the aim of maximizing returns…

Artificial Intelligence · Computer Science 2024-03-26 Fernando Acero , Parisa Zehtabi , Nicolas Marchesotti , Michael Cashmore , Daniele Magazzeni , Manuela Veloso

Many real-world optimization problems contain parameters that are unknown before deployment time, either due to stochasticity or to lack of information (e.g., demand or travel times in delivery problems). A common strategy in such cases is…

This study proposes a portfolio optimization framework that integrates advanced deep learning architectures with traditional financial models to enhance risk-adjusted performance. Using historical data from 2015-2023 across equities, ETFs,…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Samuel Ozechi , Banjo Francis , Wisdom Yakanu , Joe Wayne Byers

As opposed to conventional training methods tailored to minimize a given statistical metric or task-agnostic loss (e.g., mean squared error), Decision-Focused Learning (DFL) trains machine learning models for optimal performance in…

Systems and Control · Electrical Eng. & Systems 2025-01-27 Pietro Favaro , Jean-François Toubeau , François Vallée , Yury Dvorkin

Decision-focused learning (DFL) integrates predictive models with downstream optimization, directly training machine learning models to minimize decision errors. While DFL has been shown to provide substantial advantages when compared to a…

Machine Learning · Computer Science 2026-03-03 Prince Zizhuang Wang , Shuyi Chen , Jinhao Liang , Ferdinando Fioretto , Shixiang Zhu

Prediction models are traditionally optimized independently from their use in the asset allocation decision-making process. We address this shortcoming and present a framework for integrating regression prediction models in a mean-variance…

Portfolio Management · Quantitative Finance 2022-12-01 Andrew Butler , Roy H. Kwon
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