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This paper bridges reinforcement learning (RL) and risk-sensitive stochastic control by introducing a tractable exploration mechanism for policy search in risk-sensitive portfolio management, with known and unknown model parameters, that…

Portfolio Management · Quantitative Finance 2026-03-03 Sebastien Lleo , Wolfgang Runggaldier

Among the reasons hindering reinforcement learning (RL) applications to real-world problems, two factors are critical: limited data and the mismatch between the testing environment (real environment in which the policy is deployed) and the…

Machine Learning · Computer Science 2023-01-30 Xiaoteng Ma , Zhipeng Liang , Jose Blanchet , Mingwen Liu , Li Xia , Jiheng Zhang , Qianchuan Zhao , Zhengyuan Zhou

This work pioneers regret analysis of risk-sensitive reinforcement learning in partially observable environments with hindsight observation, addressing a gap in theoretical exploration. We introduce a novel formulation that integrates…

Machine Learning · Computer Science 2024-02-29 Tonghe Zhang , Yu Chen , Longbo Huang

We study the problem of learning the optimal control policy for fine-tuning a given diffusion process, using general value function approximation. We develop a new class of algorithms by solving a variational inequality problem based on the…

Machine Learning · Computer Science 2025-09-03 Wenlong Mou

We propose a reinforcement learning (RL) approach to compute the expression of quasi-stationary distribution. Based on the fixed-point formulation of quasi-stationary distribution, we minimize the KL-divergence of two Markovian path…

Machine Learning · Computer Science 2022-09-14 Zhiqiang Cai , Ling Lin , Xiang Zhou

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

Optimization and Control · Mathematics 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu

This tutorial provides a comprehensive survey of methods for fine-tuning diffusion models to optimize downstream reward functions. While diffusion models are widely known to provide excellent generative modeling capability, practical…

Machine Learning · Computer Science 2024-07-19 Masatoshi Uehara , Yulai Zhao , Tommaso Biancalani , Sergey Levine

In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer…

Portfolio Management · Quantitative Finance 2017-05-08 Xiaoqing Liang , Zbigniew Palmowski

Offline reinforcement learning (RL) aims to learn an optimal policy from pre-collected data. However, it faces challenges of distributional shift, where the learned policy may encounter unseen scenarios not covered in the offline data.…

Machine Learning · Computer Science 2025-05-27 Jin Zhu , Xin Zhou , Jiaang Yao , Gholamali Aminian , Omar Rivasplata , Simon Little , Lexin Li , Chengchun Shi

We reinterpret and propose a framework for pricing path-dependent financial derivatives by estimating the full distribution of payoffs using Distributional Reinforcement Learning (DistRL). Unlike traditional methods that focus on expected…

Mathematical Finance · Quantitative Finance 2025-07-18 Ahmet Umur Özsoy

Distributional reinforcement learning (RL) is a powerful framework increasingly adopted in safety-critical domains for its ability to optimize risk-sensitive objectives. However, the role of the discount factor is often overlooked, as it is…

Machine Learning · Computer Science 2026-02-05 Mehrdad Moghimi , Anthony Coache , Hyejin Ku

This paper explores the mean-variance portfolio selection problem in a multi-period financial market characterized by regime-switching dynamics and uncontrollable liabilities. To address the uncertainty in the decision-making process within…

Optimization and Control · Mathematics 2025-09-04 Zhongqin Gao , Ping Chen , Xun Li , Yan Lv , Wenhao Zhang

Partial observability is a notorious challenge in reinforcement learning (RL), due to the need to learn complex, history-dependent policies. Recent empirical successes have used privileged expert distillation--which leverages availability…

Machine Learning · Computer Science 2025-10-06 Yuda Song , Dhruv Rohatgi , Aarti Singh , J. Andrew Bagnell

We study a speculative trading problem within the exploratory reinforcement learning (RL) framework of Wang et al. [2020]. The problem is formulated as a sequential optimal stopping problem over entry and exit times under general utility…

Mathematical Finance · Quantitative Finance 2026-04-03 Yun Zhao , Alex S. L. Tse , Harry Zheng

We study learning optimal policies from a logged dataset, i.e., offline RL, with function approximation. Despite the efforts devoted, existing algorithms with theoretic finite-sample guarantees typically assume exploratory data coverage or…

Machine Learning · Computer Science 2023-05-25 Chenjie Mao

Reinforcement Learning (RL) has recently received significant attention from the process systems engineering and control communities. Recent works have investigated the application of RL to identify optimal scheduling decision in the…

Systems and Control · Electrical Eng. & Systems 2022-03-11 Max Mowbray , Dongda Zhang , Ehecatl Antonio Del Rio Chanona

Standard deep reinforcement learning (DRL) aims to maximize expected reward, considering collected experiences equally in formulating a policy. This differs from human decision-making, where gains and losses are valued differently and…

Machine Learning · Computer Science 2023-11-17 Jared Markowitz , Ryan W. Gardner , Ashley Llorens , Raman Arora , I-Jeng Wang

Continuous-time reinforcement learning offers an appealing formalism for describing control problems in which the passage of time is not naturally divided into discrete increments. Here we consider the problem of predicting the distribution…

Machine Learning · Computer Science 2022-06-20 Harley Wiltzer , David Meger , Marc G. Bellemare

This paper studies an optimal dividend problem for a company that aims to maximize the mean-variance (MV) objective of the accumulated discounted dividend payments up to its ruin time. The MV objective involves an integral form over a…

Optimization and Control · Mathematics 2025-08-19 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

We consider in this paper the optimal dividend problem for an insurance company whose uncontrolled reserve process evolves as a classical Cram\'{e}r--Lundberg process. The firm has the option of investing part of the surplus in a…

Portfolio Management · Quantitative Finance 2010-10-26 Pablo Azcue , Nora Muler