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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…

Mathematical Finance · Quantitative Finance 2025-03-12 Duy Khanh Lam

For long term investments, model portfolios are defined at the level of indexes, a setup known as Strategic Asset Allocation (SAA). The possible outcomes at a scale of a few decades can be obtained by Monte Carlo simulations, resulting in a…

Risk Management · Quantitative Finance 2025-11-25 Gilles Zumbach

Behavioral Finance has become a challenge to the scientific community. Based on the assumption that behavioral aspects of investors may explain some features of the Stock Market, we propose an agent based model to study quantitatively this…

General Finance · Quantitative Finance 2017-11-23 F. M. Stefan , A. P. F. Atman

Scattering of electromagnetic waves in billiard-like systems has become a standard experimental tool of studying properties associated with Quantum Chaos. Random Matrix Theory (RMT) describing statistics of eigenfrequencies and associated…

Disordered Systems and Neural Networks · Physics 2021-05-11 Yan V Fyodorov

Markowitz mean-variance portfolios with sample mean and covariance as input parameters feature numerous issues in practice. They perform poorly out of sample due to estimation error, they experience extreme weights together with high…

Econometrics · Economics 2022-12-29 Wolfgang Karl Härdle , Yegor Klochkov , Alla Petukhina , Nikita Zhivotovskiy

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

Random matrix theory (RMT) provides a framework to study the spectral fluctuations in physical systems. RMT is capable of making predictions for the fluctuations only after the removal of the secular properties of the spectrum. Spectral…

Statistical Mechanics · Physics 2018-03-02 Sherif M. Abuelenin

Reinforcement Learning (RL) has shown significant promise in automated portfolio management; however, effectively balancing risk and return remains a central challenge, as many models fail to adapt to dynamically changing market conditions.…

Machine Learning · Computer Science 2025-12-04 Jiayi Chen , Jing Li , Guiling Wang

We introduce a new agentic artificial intelligence (AI) platform for portfolio management. Our architecture consists of three layers. First, two large language model (LLM) agents are assigned specialized tasks: one agent screens for firms…

Portfolio Management · Quantitative Finance 2026-03-25 Mehmet Caner , Agostino Capponi , Nathan Sun , Jonathan Y. Tan

This paper proposes a Deep Reinforcement Learning algorithm for financial portfolio trading based on Deep Q-learning. The algorithm is capable of trading high-dimensional portfolios from cross-sectional datasets of any size which may…

Portfolio Management · Quantitative Finance 2021-12-10 Uta Pigorsch , Sebastian Schäfer

We study the continuous time portfolio optimization model on the market where the mean returns of individual securities or asset categories are linearly dependent on underlying economic factors. We introduce the functional $Q_\gamma$…

Portfolio Management · Quantitative Finance 2015-01-29 O. S. Rozanova , G. S. Kambarbaeva

Monte Carlo Approaches for calculating Value-at-Risk (VaR) are powerful tools widely used by financial risk managers across the globe. However, they are time consuming and sometimes inaccurate. In this paper, a fast and accurate Monte Carlo…

General Economics · Economics 2020-11-17 Seyed Mohammad Sina Seyfi , Azin Sharifi , Hamidreza Arian

Since decades, the data science community tries to propose prediction models of financial time series. Yet, driven by the rapid development of information technology and machine intelligence, the velocity of today's information leads to…

Computational Finance · Quantitative Finance 2019-09-25 Giovanni Mariani , Yada Zhu , Jianbo Li , Florian Scheidegger , Roxana Istrate , Costas Bekas , A. Cristiano I. Malossi

Characterization of the uncertainty in robotic manipulators is the focus of this paper. Based on the random matrix theory (RMT), we propose uncertainty characterization schemes in which the uncertainty is modeled at the macro (system)…

Applications · Statistics 2017-07-10 Javad Sovizi , Sonjoy Das , Venkat Krovi

This paper examines the applicability of Random Matrix Theory to portfolio management in finance. Starting from a group of normally distributed stochastic processes with given correlations we devise an algorithm for removing noise from the…

Statistical Mechanics · Physics 2008-12-02 Przemyslaw Repetowicz , Peter Richmond

Artificial stock market simulation based on agent is an important means to study financial market. Based on the assumption that the investors are composed of a main fund, small trend and contrarian investors characterized by four…

Trading and Market Microstructure · Quantitative Finance 2021-09-22 Yong Shi , Bo Li , Guangle Du

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

The Markowitz model is still the cornerstone of modern portfolio theory. In particular, when focusing on the minimum-variance portfolio, the covariance matrix or better its inverse, the so-called precision matrix, is the only input…

Statistical Finance · Quantitative Finance 2022-03-28 Karoline Bax , Emanuele Taufer , Sandra Paterlini

This study develops and evaluates a deep reinforcement learning framework for dynamic portfolio allocation across global equity markets. The Soft Actor-Critic algorithm is used to learn continuous portfolio weights within a Markov Decision…

Portfolio Management · Quantitative Finance 2026-05-19 Kamil Kashif , Robert Ślepaczuk

Empirical game-theoretic analysis (EGTA) has recently been applied successfully to analyze the behavior of large numbers of competing traders in a continuous double auction market. Multiagent simulation methods like EGTA are useful for…

Artificial Intelligence · Computer Science 2016-04-25 Mason Wright