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We show how random matrix theory can be applied to develop new algorithms to extract dynamic factors from macroeconomic time series. In particular, we consider a limit where the number of random variables N and the number of consecutive…

Statistical Finance · Quantitative Finance 2023-07-19 Małgorzata Snarska

Portfolio management is the art and science in fiance that concerns continuous reallocation of funds and assets across financial instruments to meet the desired returns to risk profile. Deep reinforcement learning (RL) has gained increasing…

Portfolio Management · Quantitative Finance 2023-10-30 Yinheng Li , Junhao Wang , Yijie Cao

Deep reinforcement learning (DRL) has been applied in financial portfolio management to improve returns in changing market conditions. However, unlike most fields where DRL is widely used, the stock market is more volatile and dynamic as it…

Machine Learning · Computer Science 2025-02-12 Fengchen Gu , Angelos Stefanidis , Ángel García-Fernández , Jionglong Su , Huakang Li

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

Portfolio Management · Quantitative Finance 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci

Artificial intelligence is transforming financial investment decision-making frameworks, with deep reinforcement learning demonstrating substantial potential in robo-advisory applications. This paper addresses the limitations of traditional…

Portfolio Management · Quantitative Finance 2025-02-24 Gang Huang , Xiaohua Zhou , Qingyang Song

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2010-08-02 Mikhail Voropaev

Since it was first applied to the study of nuclear interactions by Wigner and Dyson, almost 60 years ago, Random Matrix Theory (RMT) has developed into a field of its own within applied mathematics, and is now essential to many parts of…

Exactly Solvable and Integrable Systems · Physics 2008-06-10 Mark Mineev-Weinstein , Mihai Putinar , Razvan Teodorescu

Decision theories offer principled methods for making choices under various types of uncertainty. Algorithms that implement these theories have been successfully applied to a wide range of real-world problems, including materials and drug…

Machine Learning · Computer Science 2026-05-26 Agustinus Kristiadi

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

The algorithmic trading comes from digitalisation of the processing of trading assets on financial markets. Since 1980 the computerization of the stock market offers real time processing of financial information. This technological…

Trading and Market Microstructure · Quantitative Finance 2009-03-19 Victor Lebreton

Much research has been done to analyze the stock market. After all, if one can determine a pattern in the chaotic frenzy of transactions, then they could make a hefty profit from capitalizing on these insights. As such, the goal of our…

Machine Learning · Computer Science 2025-05-27 Ziyi Zhou , Nicholas Stern , Julien Laasri

In financial investing, universal portfolios are a means of constructing portfolios which guarantee a certain level of performance relative to a baseline, while making no statistical assumptions about the future market data. They fall under…

Computational Engineering, Finance, and Science · Computer Science 2021-05-28 Thomas Orton

Despite the availability of very detailed data on financial market, agent-based modeling is hindered by the lack of information about real trader behavior. This makes it impossible to validate agent-based models, which are thus…

Trading and Market Microstructure · Quantitative Finance 2015-05-14 David Morton de Lachapelle , Damien Challet

Financial portfolio management investment policies computed quantitatively by modern portfolio theory techniques like the Markowitz model rely on a set on assumptions that are not supported by data in high volatility markets. Hence,…

Computational Engineering, Finance, and Science · Computer Science 2024-07-22 Alejandra de la Rica Escudero , Eduardo C. Garrido-Merchan , Maria Coronado-Vaca

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…

Portfolio Management · Quantitative Finance 2010-08-24 William T. Shaw

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2011-07-14 Mikhail Voropaev

Large-dimensional random matrix theory, RMT for short, which originates from the research field of quantum physics, has shown tremendous capability in providing deep insights into large dimensional systems. With the fact that we have…

Spectral Theory · Mathematics 2021-04-06 Jungang Ge , Ying-Chang Liang , Zhidong Bai , Guangming Pan

This thesis presents the results of a comprehensive research project focused on applying Reinforcement Learning (RL) to the problem of market making in financial markets. Market makers (MMs) play a fundamental role in providing liquidity,…

Machine Learning · Computer Science 2025-07-28 Óscar Fernández Vicente

This paper initiates a study into the century-old issue of market predictability from the perspective of computational complexity. We develop a simple agent-based model for a stock market where the agents are traders equipped with simple…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 James Aspnes , David F. Fischer , Michael J. Fischer , Ming-Yang Kao , Alok Kumar

Estimating the number of signals embedded in noise is a fundamental problem in signal processing. As a classic estimator based on random matrix theory (RMT), the RMT estimator estimates the number of signals via sequentially testing the…

Information Theory · Computer Science 2019-11-27 Huiyue Yi