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In reinforcement learning, the performance of learning agents is highly sensitive to the choice of time discretization. Agents acting at high frequencies have the best control opportunities, along with some drawbacks, such as possible…

Machine Learning · Computer Science 2022-11-22 Luca Sabbioni , Luca Al Daire , Lorenzo Bisi , Alberto Maria Metelli , Marcello Restelli

For continuous action spaces, actor-critic methods are widely used in online reinforcement learning (RL). However, unlike RL algorithms for discrete actions, which generally model the optimal value function using the Bellman optimality…

Machine Learning · Computer Science 2025-08-14 Motoki Omura , Kazuki Ota , Takayuki Osa , Yusuke Mukuta , Tatsuya Harada

We consider a new family of operators for reinforcement learning with the goal of alleviating the negative effects and becoming more robust to approximation or estimation errors. Various theoretical results are established, which include…

Machine Learning · Statistics 2019-05-29 Yingdong Lu , Mark S. Squillante , Chai Wah Wu

In classical Q-learning, the objective is to maximize the sum of discounted rewards through iteratively using the Bellman equation as an update, in an attempt to estimate the action value function of the optimal policy. Conventionally, the…

Machine Learning · Computer Science 2019-06-25 Hadi S. Jomaa , Josif Grabocka , Lars Schmidt-Thieme

Despite significant advances in the field of deep Reinforcement Learning (RL), today's algorithms still fail to learn human-level policies consistently over a set of diverse tasks such as Atari 2600 games. We identify three key challenges…

We study both the value function and Q-function formulation of the Linear Programming approach to Approximate Dynamic Programming. The approach is model-based and optimizes over a restricted function space to approximate the value function…

Systems and Control · Computer Science 2018-08-31 Paul N. Beuchat , Angelos Georghiou , John Lygeros

The vast majority of Reinforcement Learning methods is largely impacted by the computation effort and data requirements needed to obtain effective estimates of action-value functions, which in turn determine the quality of the overall…

Machine Learning · Computer Science 2025-04-04 Théo Vincent , Daniel Palenicek , Boris Belousov , Jan Peters , Carlo D'Eramo

Double Q-learning is a classical method for reducing overestimation bias, which is caused by taking maximum estimated values in the Bellman operation. Its variants in the deep Q-learning paradigm have shown great promise in producing…

Machine Learning · Computer Science 2022-01-17 Zhizhou Ren , Guangxiang Zhu , Hao Hu , Beining Han , Jianglun Chen , Chongjie Zhang

Average-reward reinforcement learning requires estimating the gain and the bias, which is defined only up to an additive constant. This makes direct distributional analogues ill-posed on the real line. We introduce a quotient-space…

Machine Learning · Computer Science 2026-05-13 Ege C. Kaya , Aliasghar Pourghani , Vijay Gupta , Abolfazl Hashemi

We devise a control-theoretic reinforcement learning approach to support direct learning of the optimal policy. We establish various theoretical properties of our approach, such as convergence and optimality of our analog of the Bellman…

Machine Learning · Computer Science 2026-04-01 Weiqin Chen , Mark S. Squillante , Chai Wah Wu , Santiago Paternain

Establishing robust policies is essential to counter attacks or disturbances affecting deep reinforcement learning (DRL) agents. Recent studies explore state-adversarial robustness and suggest the potential lack of an optimal robust policy…

Machine Learning · Computer Science 2024-06-24 Haoran Li , Zicheng Zhang , Wang Luo , Congying Han , Yudong Hu , Tiande Guo , Shichen Liao

In reinforcement learning the Q-values summarize the expected future rewards that the agent will attain. However, they cannot capture the epistemic uncertainty about those rewards. In this work we derive a new Bellman operator with…

Machine Learning · Computer Science 2022-12-07 Brendan O'Donoghue

We study the convergence of $Q$-learning with linear function approximation. Our key contribution is the introduction of a novel multi-Bellman operator that extends the traditional Bellman operator. By exploring the properties of this…

Machine Learning · Computer Science 2023-10-02 Diogo S. Carvalho , Pedro A. Santos , Francisco S. Melo

Q-functions are widely used in discrete-time learning and control to model future costs arising from a given control policy, when the initial state and input are given. Although some of their properties are understood, Q-functions…

Optimization and Control · Mathematics 2019-02-21 Joseph Warrington

This paper develops an online inverse reinforcement learning algorithm aimed at efficiently recovering a reward function from ongoing observations of an agent's actions. To reduce the computation time and storage space in reward estimation,…

Robotics · Computer Science 2017-08-01 Kun Li , Joel W. Burdick

Offline reinforcement learning (RL) has received increasing attention for learning policies from previously collected data without interaction with the real environment, which is particularly important in high-stakes applications. While a…

Machine Learning · Computer Science 2026-04-03 Qing Zhu , Xian Yu

Offline reinforcement learning promises policy improvement from logged interaction data alone, yet state-of-the-art algorithms remain vulnerable to value over-estimation and to violations of domain knowledge such as monotonicity or…

Systems and Control · Electrical Eng. & Systems 2025-06-18 Ali Baheri

Fitted $Q$-iteration (FQI) and soft FQI are widely used value-based methods for offline reinforcement learning, but their standard stability guarantees often depend on Bellman completeness, a strong closure condition that can fail under…

Machine Learning · Statistics 2026-05-11 Lars van der Laan , Nathan Kallus

One of the most natural approaches to reinforcement learning (RL) with function approximation is value iteration, which inductively generates approximations to the optimal value function by solving a sequence of regression problems. To…

Machine Learning · Computer Science 2024-06-19 Noah Golowich , Ankur Moitra

Off-policy reinforcement learning (RL) using a fixed offline dataset of logged interactions is an important consideration in real world applications. This paper studies offline RL using the DQN replay dataset comprising the entire replay…

Machine Learning · Computer Science 2020-11-25 Rishabh Agarwal , Dale Schuurmans , Mohammad Norouzi
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