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We show how to reduce the problem of computing VaR and CVaR with Student T return distributions to evaluation of analytical functions of the moments. This allows an analysis of the risk properties of systems to be carefully attributed…

Portfolio Management · Quantitative Finance 2011-03-01 William T. Shaw

Motivated by applications in risk-sensitive reinforcement learning, we study mean-variance optimization in a discounted reward Markov Decision Process (MDP). Specifically, we analyze a Temporal Difference (TD) learning algorithm with linear…

Machine Learning · Computer Science 2025-03-13 Tejaram Sangadi , L. A. Prashanth , Krishna Jagannathan

Recently, there are many trials to apply reinforcement learning in asset allocation for earning more stable profits. In this paper, we compare performance between several reinforcement learning algorithms - actor-only, actor-critic and PPO…

Computational Finance · Quantitative Finance 2023-01-16 Jiwon Kim , Moon-Ju Kang , KangHun Lee , HyungJun Moon , Bo-Kwan Jeon

Reinforcement learning is a machine learning approach concerned with solving dynamic optimization problems in an almost model-free way by maximizing a reward function in state and action spaces. This property makes it an exciting area of…

Portfolio Management · Quantitative Finance 2020-10-12 Miquel Noguer i Alonso , Sonam Srivastava

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

Motivated by practical applications, we explore the constrained multi-period mean-variance portfolio selection problem within a market characterized by a dynamic factor model. This model captures predictability in asset returns driven by…

Portfolio Management · Quantitative Finance 2025-02-26 Jianjun Gao , Chengneng Jin , Yun Shi , Xiangyu Cui

Generating an investment strategy using advanced deep learning methods in stock markets has recently been a topic of interest. Most existing deep learning methods focus on proposing an optimal model or network architecture by maximizing…

Artificial Intelligence · Computer Science 2020-07-13 Jinho Lee , Raehyun Kim , Seok-Won Yi , Jaewoo Kang

This paper studies a robust continuous-time Markowitz portfolio selection pro\-blem where the model uncertainty carries on the covariance matrix of multiple risky assets. This problem is formulated into a min-max mean-variance problem over…

Portfolio Management · Quantitative Finance 2017-03-14 Amine Ismail , Huyên Pham

We study risk-sensitive Reinforcement Learning (RL), where we aim to maximize the Conditional Value at Risk (CVaR) with a fixed risk tolerance $\tau$. Prior theoretical work studying risk-sensitive RL focuses on the tabular Markov Decision…

Machine Learning · Computer Science 2023-11-21 Yulai Zhao , Wenhao Zhan , Xiaoyan Hu , Ho-fung Leung , Farzan Farnia , Wen Sun , Jason D. Lee

Risk-averse Constrained Reinforcement Learning (RaCRL) aims to learn policies that minimise the likelihood of rare and catastrophic constraint violations caused by an environment's inherent randomness. In general, risk-aversion leads to…

Machine Learning · Computer Science 2025-08-28 James McCarthy , Radu Marinescu , Elizabeth Daly , Ivana Dusparic

In federated learning (FL), model aggregation has been widely adopted for data privacy. In recent years, assigning different weights to local models has been used to alleviate the FL performance degradation caused by differences between…

Machine Learning · Computer Science 2022-02-01 Chenghao Huang , Weilong Chen , Yuxi Chen , Shunji Yang , Yanru Zhang

Several works have addressed the problem of incorporating constraints in the reinforcement learning (RL) framework, however majority of them can only guarantee the satisfaction of soft constraints. In this work, we address the problem of…

Machine Learning · Computer Science 2020-06-16 Kwangyeon Kim , Akshita Gupta , Hong-Cheol Choi , Inseok Hwang

We propose WSAC (Weighted Safe Actor-Critic), a novel algorithm for Safe Offline Reinforcement Learning (RL) under functional approximation, which can robustly optimize policies to improve upon an arbitrary reference policy with limited…

Machine Learning · Computer Science 2024-11-01 Honghao Wei , Xiyue Peng , Arnob Ghosh , Xin Liu

Financial portfolio management is one of the problems that are most frequently encountered in the investment industry. Nevertheless, it is not widely recognized that both Kelly Criterion and Risk Parity collapse into Mean Variance under…

Portfolio Management · Quantitative Finance 2019-06-11 Yoshiharu Sato

It has long been recognized that multi-agent reinforcement learning (MARL) faces significant scalability issues due to the fact that the size of the state and action spaces are exponentially large in the number of agents. In this paper, we…

Optimization and Control · Mathematics 2020-06-12 Guannan Qu , Yiheng Lin , Adam Wierman , Na Li

In this paper, we propose a max-min entropy framework for reinforcement learning (RL) to overcome the limitation of the soft actor-critic (SAC) algorithm implementing the maximum entropy RL in model-free sample-based learning. Whereas the…

Machine Learning · Computer Science 2021-12-21 Seungyul Han , Youngchul Sung

We propose policy gradient algorithms for solving a risk-sensitive reinforcement learning (RL) problem in on-policy as well as off-policy settings. We consider episodic Markov decision processes, and model the risk using the broad class of…

Machine Learning · Computer Science 2024-06-25 Nithia Vijayan , Prashanth L. A

We develop an approach for solving time-consistent risk-sensitive stochastic optimization problems using model-free reinforcement learning (RL). Specifically, we assume agents assess the risk of a sequence of random variables using dynamic…

Machine Learning · Computer Science 2022-12-01 Anthony Coache , Sebastian Jaimungal

We extend the classical mean-variance (MV) framework and propose a robust and sparse portfolio selection model incorporating an ellipsoidal uncertainty set to reduce the impact of estimation errors and fixed transaction costs to penalize…

Portfolio Management · Quantitative Finance 2024-12-30 J. Chen , S. D. Ahipaşaoğlu , N. Zhang , Y. Yang

Portfolio management remains a crucial challenge in finance, with traditional methods often falling short in complex and volatile market environments. While deep reinforcement approaches have shown promise, they still face limitations in…

Machine Learning · Computer Science 2025-03-07 Fengchen Gu , Zhengyong Jiang , Ángel F. García-Fernández , Angelos Stefanidis , Jionglong Su , Huakang Li