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In batch reinforcement learning (RL), one often constrains a learned policy to be close to the behavior (data-generating) policy, e.g., by constraining the learned action distribution to differ from the behavior policy by some maximum…

Machine Learning · Computer Science 2020-03-31 Sungryull Sohn , Yinlam Chow , Jayden Ooi , Ofir Nachum , Honglak Lee , Ed Chi , Craig Boutilier

We introduce a reinforcement learning method for a class of non-Markov systems; our approach extends the actor-critic framework given by Rose et al. [New J. Phys. 23 013013 (2021)] for obtaining scaled cumulant generating functions…

Statistical Mechanics · Physics 2026-03-09 Venkata D. Pamulaparthy , Rosemary J. Harris

The rapid changes in the finance industry due to the increasing amount of data have revolutionized the techniques on data processing and data analysis and brought new theoretical and computational challenges. In contrast to classical…

Mathematical Finance · Quantitative Finance 2023-03-01 Ben Hambly , Renyuan Xu , Huining Yang

Multi-objective reinforcement learning (MORL) is an extension of ordinary, single-objective reinforcement learning (RL) that is applicable to many real-world tasks where multiple objectives exist without known relative costs. We study the…

Machine Learning · Computer Science 2021-01-12 Dongruo Zhou , Jiahao Chen , Quanquan Gu

We propose to solve large scale Markowitz mean-variance (MV) portfolio allocation problem using reinforcement learning (RL). By adopting the recently developed continuous-time exploratory control framework, we formulate the exploratory MV…

Portfolio Management · Quantitative Finance 2019-08-05 Haoran Wang

We consider the problem of learning a policy for a Markov decision process consistent with data captured on the state-actions pairs followed by the policy. We assume that the policy belongs to a class of parameterized policies which are…

Optimization and Control · Mathematics 2017-01-24 Manjesh K. Hanawal , Hao Liu , Henghui Zhu , Ioannis Ch. Paschalidis

In offline reinforcement learning (RL), we seek to utilize offline data to evaluate (or learn) policies in scenarios where the data are collected from a distribution that substantially differs from that of the target policy to be evaluated.…

Machine Learning · Computer Science 2021-03-09 Ruosong Wang , Yifan Wu , Ruslan Salakhutdinov , Sham M. Kakade

This note aims to provide a basic intuition on the concept of filtrations as used in the context of reinforcement learning (RL). Filtrations are often used to formally define RL problems, yet their implications might not be eminent for…

Machine Learning · Computer Science 2020-08-07 W. J. A. van Heeswijk

We study provable multi-agent reinforcement learning (RL) in the general framework of partially observable stochastic games (POSGs). To circumvent the known hardness results and the use of computationally intractable oracles, we advocate…

Machine Learning · Computer Science 2026-03-16 Xiangyu Liu , Kaiqing Zhang

Large Language Models (LLMs) trained via Reinforcement Learning (RL) have exhibited strong reasoning capabilities and emergent reflective behaviors, such as rethinking and error correction, as a form of in-context exploration. However, the…

Machine Learning · Computer Science 2025-12-09 Shenao Zhang , Yaqing Wang , Yinxiao Liu , Tianqi Liu , Peter Grabowski , Eugene Ie , Zhaoran Wang , Yunxuan Li

We study the problem of learning safe control policies that are also effective; i.e., maximizing the probability of satisfying a linear temporal logic (LTL) specification of a task, and the discounted reward capturing the (classic) control…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Miroslav Pajic

Reinforcement learning algorithms are commonly analyzed (and designed) under the Markov assumption. This is unrealistic, as most environments encountered in practice are either partially observable, or require function approximation that…

Machine Learning · Computer Science 2026-05-28 Onno Eberhard , Claire Vernade , Michael Muehlebach

To ensure the usefulness of Reinforcement Learning (RL) in real systems, it is crucial to ensure they are robust to noise and adversarial attacks. In adversarial RL, an external attacker has the power to manipulate the victim agent's…

Machine Learning · Computer Science 2024-06-18 Jeremy McMahan , Young Wu , Xiaojin Zhu , Qiaomin Xie

Many sequential decision-making tasks involve optimizing multiple conflicting objectives, requiring policies that adapt to different user preferences. In multi-objective reinforcement learning (MORL), one widely studied approach} addresses…

Machine Learning · Computer Science 2026-04-28 Ying-Tu Chen , Wei Hung , Bing-Shu Wu , Zhang-Wei Hong , Ping-Chun Hsieh

Reinforcement learning (RL), a common tool in decision making, learns control policies from various experiences based on the associated cumulative return/rewards without treating them differently. Humans, on the contrary, often learn to…

Machine Learning · Computer Science 2025-11-25 Mingkang Wu , Devin White , Vernon Lawhern , Nicholas R. Waytowich , Yongcan Cao

Reinforcement learning (RL) aims to find an optimal policy by interaction with an environment. Consequently, learning complex behavior requires a vast number of samples, which can be prohibitive in practice. Nevertheless, instead of…

Machine Learning · Computer Science 2021-11-23 Sarah Müller , Alexander von Rohr , Sebastian Trimpe

In multi-timescale multi-agent reinforcement learning (MARL), agents interact across different timescales. In general, policies for time-dependent behaviors, such as those induced by multiple timescales, are non-stationary. Learning…

Machine Learning · Computer Science 2023-07-19 Patrick Emami , Xiangyu Zhang , David Biagioni , Ahmed S. Zamzam

We introduce a novel framework for analyzing reinforcement learning (RL) in continuous state-action spaces, and use it to prove fast rates of convergence in both off-line and on-line settings. Our analysis highlights two key stability…

Machine Learning · Computer Science 2024-01-11 Yaqi Duan , Martin J. Wainwright

Decision-making under distribution shift is a central challenge in reinforcement learning (RL), where training and deployment environments differ. We study this problem through the lens of robust Markov decision processes (RMDPs), which…

Machine Learning · Computer Science 2025-10-17 Jingwen Gu , Yiting He , Zhishuai Liu , Pan Xu

Standard reinforcement learning (RL) aims to find an optimal policy that identifies the best action for each state. However, in healthcare settings, many actions may be near-equivalent with respect to the reward (e.g., survival). We…

Machine Learning · Computer Science 2020-07-27 Shengpu Tang , Aditya Modi , Michael W. Sjoding , Jenna Wiens
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