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Optimizing portfolio performance is a fundamental challenge in financial modeling, requiring the integration of advanced clustering techniques and data-driven optimization strategies. This paper introduces a comparative backtesting approach…

机器学习 · 计算机科学 2025-01-23 Keon Vin Park

Considering mean-variance portfolio problems with uncertain model parameters, we contrast the classical absolute robust optimization approach with the relative robust approach based on a maximum regret function. Although the latter problems…

投资组合管理 · 定量金融 2013-05-14 Raphael Hauser , Vijay Krishnamurthy , Reha Tütüncü

The Black-Litterman model extends the framework of the Markowitz Modern Portfolio Theory to incorporate investor views. We consider a case where multiple view estimates, including uncertainties, are given for the same underlying subset of…

投资组合管理 · 定量金融 2023-02-01 Trent Spears , Stefan Zohren , Stephen Roberts

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…

投资组合管理 · 定量金融 2009-09-21 Alex Dannenberg

In this study, we address the challenge of portfolio optimization, a critical aspect of managing investment risks and maximizing returns. The mean-CVaR portfolio is considered a promising method due to today's unstable financial market…

投资组合管理 · 定量金融 2023-09-22 Kei Nakagawa , Masaya Abe , Seiichi Kuroki

We develop the idea of using Monte Carlo sampling of random portfolios to solve portfolio investment problems. In this first paper we explore the need for more general optimization tools, and consider the means by which constrained random…

投资组合管理 · 定量金融 2010-08-24 William T. Shaw

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…

投资组合管理 · 定量金融 2022-12-01 Andrew Butler , Roy H. Kwon

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

数理金融 · 定量金融 2025-03-12 Duy Khanh Lam

Recent studies stressed the fact that covariance matrices computed from empirical financial time series appear to contain a high amount of noise. This makes the classical Markowitz Mean-Variance Optimization model unable to correctly…

最优化与控制 · 数学 2021-03-03 Justo Puerto , Federica Ricca , Moisés Rodríguez-Madrena , Andrea Scozzari

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…

统计金融 · 定量金融 2025-10-15 Daniel Cunha Oliveira , Grover Guzman , Nick Firoozye

With the rapid progress of multi-agent large language model (LLM) reasoning, how to effectively aggregate answers from multiple LLMs has emerged as a fundamental challenge. Standard majority voting treats all answers equally, failing to…

机器学习 · 计算机科学 2026-05-20 Rui Ai , Yuqi Pan , David Simchi-Levi , Milind Tambe , Haifeng Xu

Obtaining reliable estimates of conditional covariance matrices is an important task of heteroskedastic multivariate time series. In portfolio optimization and financial risk management, it is crucial to provide measures of uncertainty and…

统计方法学 · 统计学 2022-09-19 Davide Ravagli , Georgi N. Boshnakov

Portfolio optimization is a critical task in investment. Most existing portfolio optimization methods require information on the distribution of returns of the assets that make up the portfolio. However, such distribution information is…

计量经济学 · 经济学 2025-10-09 Masahiro Kato , Kentaro Baba , Hibiki Kaibuchi , Ryo Inokuchi

We study the design of portfolios under a minimum risk criterion. The performance of the optimized portfolio relies on the accuracy of the estimated covariance matrix of the portfolio asset returns. For large portfolios, the number of…

投资组合管理 · 定量金融 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay

Assortment optimization is a fundamental challenge in modern retail and recommendation systems, where the goal is to select a subset of products that maximizes expected revenue under complex customer choice behaviors. While recent advances…

机器学习 · 统计学 2026-03-11 Miao Lu , Yuxuan Han , Han Zhong , Zhengyuan Zhou , Jose Blanchet

In decision-making under uncertainty, several criteria have been studied to aggregate the performance of a solution over multiple possible scenarios. This paper introduces a novel variant of ordered weighted averaging (OWA) for optimization…

最优化与控制 · 数学 2024-01-30 Werner Baak , Marc Goerigk , Adam Kasperski , Paweł Zieliński

In this paper, we document a novel machine learning based bottom-up approach for static and dynamic portfolio optimization on, potentially, a large number of assets. The methodology applies to general constrained optimization problems and…

数理金融 · 定量金融 2020-11-24 Qing Yang , Zhenning Hong , Ruyan Tian , Tingting Ye , Liangliang Zhang

We present an online approach to portfolio selection. The motivation is within the context of algorithmic trading, which demands fast and recursive updates of portfolio allocations, as new data arrives. In particular, we look at two online…

投资组合管理 · 定量金融 2010-05-20 Theodoros Tsagaris , Ajay Jasra , Niall Adams

Portfolio optimization methods have evolved significantly since Markowitz introduced the mean-variance framework in 1952. While the theoretical appeal of this approach is undeniable, its practical implementation poses important challenges,…

投资组合管理 · 定量金融 2024-05-28 Adil Rengim Cetingoz , Olivier Guéant

We derive new results related to the portfolio choice problem for power and logarithmic utilities. Assuming that the portfolio returns follow an approximate log-normal distribution, the closed-form expressions of the optimal portfolio…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Dmytro Ivasiuk , Nestor Parolya , Wofgang Schmid