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Assuming frictionless trading, classical stochastic portfolio theory (SPT) provides relative arbitrage strategies. However, the costs associated with real-world execution are state-dependent, volatile, and under increasing stress during…

投资组合管理 · 定量金融 2025-07-15 Nader Karimi , Erfan Salavati

Random matrix theory (RMT) is based on two assumptions: (1) matrix-element independence, and (2) base invariance. Most of the proposed generalizations keep the first assumption and violate the second. Recently, several authors presented…

统计力学 · 物理学 2009-07-14 A. Y. Abul-Magd

In this work, we propose an approach to generalize denoising diffusion probabilistic models for stock market predictions and portfolio management. Present works have demonstrated the efficacy of modeling interstock relations for market…

机器学习 · 计算机科学 2024-03-22 Divyanshu Daiya , Monika Yadav , Harshit Singh Rao

These lecture notes provide a comprehensive, self-contained introduction to the analysis of Wishart matrix moments. This study may act as an introduction to some particular aspects of random matrix theory, or as a self-contained exposition…

概率论 · 数学 2019-02-12 Adrian N. Bishop , Pierre Del Moral , Angele Niclas

Most people are risk-averse (risk-seeking) when they expect to gain (lose). Based on a generalization of ``expected utility theory'' which takes this into account, we introduce an automaton mimicking the dynamics of economic operations.…

统计力学 · 物理学 2009-11-07 C. Anteneodo , C. Tsallis , A. S. Martinez

Stock trading strategies play a critical role in investment. However, it is challenging to design a profitable strategy in a complex and dynamic stock market. In this paper, we propose an ensemble strategy that employs deep reinforcement…

交易与市场微观结构 · 定量金融 2025-11-18 Hongyang Yang , Xiao-Yang Liu , Shan Zhong , Anwar Walid

Traditional technical analysis methods face limitations in accurately predicting trends in today's complex financial markets. This paper introduces ElliottAgents, an multi-agent system that integrates the Elliott Wave Principle with AI for…

计算工程、金融与科学 · 计算机科学 2025-06-23 Michał Wawer , Jarosław A. Chudziak

Mean-reverting assets are one of the holy grails of financial markets: if such assets existed, they would provide trivially profitable investment strategies for any investor able to trade them, thanks to the knowledge that such assets…

统计金融 · 定量金融 2015-09-22 Marco Cuturi , Alexandre d'Aspremont

We estimate the global minimum variance (GMV) portfolio in the high-dimensional case using results from random matrix theory. This approach leads to a shrinkage-type estimator which is distribution-free and it is optimal in the sense of…

统计金融 · 定量金融 2023-04-19 Taras Bodnar , Nestor Parolya , Wolfgang Schmid

This paper presents a deep reinforcement learning (DRL) framework for dynamic portfolio optimization under market uncertainty and risk. The proposed model integrates a Sharpe ratio-based reward function with direct risk control mechanisms,…

投资组合管理 · 定量金融 2025-11-17 Emmanuel Lwele , Sabuni Emmanuel , Sitali Gabriel Sitali

We consider the problem of choosing a portfolio that maximizes the cumulative prospect theory (CPT) utility on an empirical distribution of asset returns. We show that while CPT utility is not a concave function of the portfolio weights, it…

最优化与控制 · 数学 2024-01-11 Eric Luxenberg , Philipp Schiele , Stephen Boyd

This article is focused on using a new measurement of risk-- Weighted Value at Risk to develop a new method of constructing initiate from the TVAR solving problem, based on MATLAB software, using the historical simulation method (avoiding…

风险管理 · 定量金融 2012-11-27 Tianyu Hao

Stock trend forecasting, a challenging problem in the financial domain, involves ex-tensive data and related indicators. Relying solely on empirical analysis often yields unsustainable and ineffective results. Machine learning researchers…

统计金融 · 定量金融 2024-10-10 Saber Talazadeh , Dragan Perakovic

Stock portfolio optimization is the process of constant re-distribution of money to a pool of various stocks. In this paper, we will formulate the problem such that we can apply Reinforcement Learning for the task properly. To maintain a…

机器学习 · 计算机科学 2020-12-14 Le Trung Hieu

In structural proof theory, designing and working on large calculi make it difficult to get intuitions about each rule individually and as part of a whole system. We introduce two novel tools to help working on calculi using the approach of…

计算机科学中的逻辑 · 计算机科学 2022-06-14 Valentin D. Richard

In recent years, a wide range of investment models have been created using artificial intelligence. Automatic trading by artificial intelligence can expand the range of trading methods, such as by conferring the ability to operate 24 hours…

交易与市场微观结构 · 定量金融 2021-12-17 Koya Ishikawa , Kazuhide Nakata

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

风险管理 · 定量金融 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović

Covariance matrices estimated from short, noisy, and non-Gaussian financial time series are notoriously unstable. Empirical evidence suggests that such covariance structures often exhibit power-law scaling, reflecting complex, hierarchical…

计算金融 · 定量金融 2026-01-13 Andres Garcia-Medina

With the increase of variable renewable energy sources (VRES) share in electricity systems, manystudies were developed in order to determine their optimal technological and spatial mix. Modern PortfolioTheory (MPT) has been frequently…

Several novel statistical methods have been developed to estimate large integrated volatility matrices based on high-frequency financial data. To investigate their asymptotic behaviors, they require a sub-Gaussian or finite high-order…

统计理论 · 数学 2023-08-15 Minseok Shin , Donggyu Kim , Jianqing Fan
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