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A pairwise clustering approach is applied to the analysis of the Dow Jones index companies, in order to identify similar temporal behavior of the traded stock prices. To this end, the chaotic map clustering algorithm is used, where a map is…

Disordered Systems and Neural Networks · Physics 2010-01-31 N. Basalto , R. Bellotti , F. De Carlo , P. Facchi , S. Pascazio

Modern portfolio theory(MPT) addresses the problem of determining the optimum allocation of investment resources among a set of candidate assets. In the original mean-variance approach of Markowitz, volatility is taken as a proxy for risk,…

Statistical Mechanics · Physics 2009-11-07 Morrel H. Cohen , Vincent D. Natoli

Finding an optimal balance between risk and returns in investment portfolios is a central challenge in quantitative finance, often addressed through Markowitz portfolio theory (MPT). While traditional portfolio optimization is carried out…

Portfolio Management · Quantitative Finance 2024-04-18 Francesco Catalano , Laura Nasello , Daniel Guterding

Investment approaches in financial instruments have been varied and often produce unpredictable results. Many investors in the earlier days of investment banking suffered catastrophical losses due to poor strategy and lack of understanding…

Other Statistics · Statistics 2011-10-04 Murphy Choy

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

The measure of portfolio risk is an important input of the Markowitz framework. In this study, we explored various methods to obtain a robust covariance estimators that are less susceptible to financial data noise. We evaluated the…

Portfolio Management · Quantitative Finance 2024-06-04 Qiqin Zhou

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

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

In this work we focus on efficient heuristics for solving a class of stochastic planning problems that arise in a variety of business, investment, and industrial applications. The problem is best described in terms of future buy and sell…

Artificial Intelligence · Computer Science 2013-01-14 Milos Hauskrecht , Eli Upfal

Individual investors are now massively using online brokers to trade stocks with convenient interfaces and low fees, albeit losing the advice and personalization traditionally provided by full-service brokers. We frame the problem faced by…

Artificial Intelligence · Computer Science 2021-03-16 Robin Swezey , Bruno Charron

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…

Portfolio Management · Quantitative Finance 2016-01-20 Liusha Yang , Romain Couillet , Matthew R. McKay

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

Markowitz's optimal portfolio relies on the accurate estimation of correlations between asset returns, a difficult problem when the number of observations is not much larger than the number of assets. Using powerful results from random…

Statistical Finance · Quantitative Finance 2024-10-24 Tomas Espana , Victor Le Coz , Matteo Smerlak

This paper focuses on the application of quantitative portfolio management by using integer programming and clustering techniques. Investors seek to gain the highest profits and lowest risk in capital markets. A data-oriented analysis of US…

Portfolio Management · Quantitative Finance 2024-07-23 Maysam Khodayari Gharanchaei , Prabhu Prasad Panda

Distributed optimization algorithms are widely used in many industrial machine learning applications. However choosing the appropriate algorithm and cluster size is often difficult for users as the performance and convergence rate of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-21 Xinghao Pan , Shivaram Venkataraman , Zizheng Tai , Joseph Gonzalez

Portfolio optimization is a fundamental challenge in quantitative finance, requiring robust computational tools that integrate statistical rigor with practical implementation. We present skfolio, an open-source Python library for portfolio…

Machine Learning · Computer Science 2025-07-09 Carlo Nicolini , Matteo Manzi , Hugo Delatte

Since Markowitz's mean-variance framework, optimizing a portfolio that maximizes the profit and minimizes the risk has been ubiquitous in the financial industry. Initially, profit and risk were measured by the first two moments of the…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Xiwen Wang , Rui Zhou , Jiaxi Ying , Daniel P. Palomar

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…

Methodology · Statistics 2022-09-19 Davide Ravagli , Georgi N. Boshnakov

This work proposes a novel portfolio management technique, the Meta Portfolio Method (MPM), inspired by the successes of meta approaches in the field of bioinformatics and elsewhere. The MPM uses XGBoost to learn how to switch between two…

Portfolio Management · Quantitative Finance 2022-06-02 Damian Kisiel , Denise Gorse

In the portfolio multiobjective optimization framework, we propose to compare and choose, among all feasible asset portfolios of a given market, the one that maximizes the product of the distances between its values of risk and gain and…

Optimization and Control · Mathematics 2018-01-16 Francesco Cesarone , Lorenzo Lampariello , Simone Sagratella
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