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We study the exploration problem with approximate linear action-value functions in episodic reinforcement learning under the notion of low inherent Bellman error, a condition normally employed to show convergence of approximate value…

Machine Learning · Computer Science 2020-06-30 Andrea Zanette , Alessandro Lazaric , Mykel Kochenderfer , Emma Brunskill

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

Machine Learning · Computer Science 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

In order to mitigate the sample complexity of real-world reinforcement learning, common practice is to first train a policy in a simulator where samples are cheap, and then deploy this policy in the real world, with the hope that it…

Machine Learning · Computer Science 2024-10-29 Andrew Wagenmaker , Kevin Huang , Liyiming Ke , Byron Boots , Kevin Jamieson , Abhishek Gupta

There has been growing progress on theoretical analyses for provably efficient learning in MDPs with linear function approximation, but much of the existing work has made strong assumptions to enable exploration by conventional exploration…

Machine Learning · Computer Science 2020-10-23 Andrea Zanette , Alessandro Lazaric , Mykel J. Kochenderfer , Emma Brunskill

In online reinforcement learning, data scarcity creates epistemic uncertainty that makes robustness important early in learning, whereas sufficient exploration is needed to learn the true-environment optimal policy. We study this…

Machine Learning · Computer Science 2026-05-26 Meichen Song , Yuhao Wang , Enlu Zhou

Existing exploration strategies in reinforcement learning (RL) often either ignore the history or feedback of search, or are complicated to implement. There is also a very limited literature showing their effectiveness over diverse domains.…

Artificial Intelligence · Computer Science 2020-10-01 Xing Wang , Alexander Vinel

Realistic environments often provide agents with very limited feedback. When the environment is initially unknown, the feedback, in the beginning, can be completely absent, and the agents may first choose to devote all their effort on…

Machine Learning · Computer Science 2020-10-13 Pierre Ménard , Omar Darwiche Domingues , Anders Jonsson , Emilie Kaufmann , Edouard Leurent , Michal Valko

In the era of deep reinforcement learning, making progress is more complex, as the collected experience must be compressed into a deep model for future exploitation and sampling. Many papers have shown that training a deep learning policy…

Machine Learning · Computer Science 2025-08-05 Glen Berseth

Meta-reinforcement learning (meta-RL) is a promising framework for tackling challenging domains requiring efficient exploration. Existing meta-RL algorithms are characterized by low sample efficiency, and mostly focus on low-dimensional…

Machine Learning · Computer Science 2024-03-18 Zohar Rimon , Tom Jurgenson , Orr Krupnik , Gilad Adler , Aviv Tamar

Exogenous MDPs (Exo-MDPs) capture sequential decision-making where uncertainty comes solely from exogenous inputs that evolve independently of the learner's actions. This structure is especially common in operations research applications…

Machine Learning · Computer Science 2026-01-29 Hao Liang , Jiayu Cheng , Sean R. Sinclair , Yali Du

In this paper, we consider the low rank structure of the reward sequence of the pure exploration problems. Firstly, we propose the separated setting in pure exploration problem, where the exploration strategy cannot receive the feedback of…

Machine Learning · Computer Science 2023-06-29 Yaxiong Liu , Atsuyoshi Nakamura , Kohei Hatano , Eiji Takimoto

In constrained reinforcement learning (RL), a learning agent seeks to not only optimize the overall reward but also satisfy the additional safety, diversity, or budget constraints. Consequently, existing constrained RL solutions require…

Machine Learning · Computer Science 2021-07-13 Sobhan Miryoosefi , Chi Jin

Several recent works have proposed instance-dependent upper bounds on the number of episodes needed to identify, with probability $1-\delta$, an $\varepsilon$-optimal policy in finite-horizon tabular Markov Decision Processes (MDPs). These…

Machine Learning · Statistics 2023-11-13 Aymen Al-Marjani , Andrea Tirinzoni , Emilie Kaufmann

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

Machine Learning · Computer Science 2015-03-20 Arthur Guez , David Silver , Peter Dayan

We propose and study a new model for reinforcement learning with rich observations, generalizing contextual bandits to sequential decision making. These models require an agent to take actions based on observations (features) with the goal…

Machine Learning · Computer Science 2016-10-31 Akshay Krishnamurthy , Alekh Agarwal , John Langford

Balancing exploration and exploitation is a central goal in reinforcement learning (RL). Despite recent advances in enhancing large language model (LLM) reasoning, most methods lean toward exploitation, and increasingly encounter…

Computation and Language · Computer Science 2025-11-11 Daixuan Cheng , Shaohan Huang , Xuekai Zhu , Bo Dai , Wayne Xin Zhao , Zhenliang Zhang , Furu Wei

Coverage conditions -- which assert that the data logging distribution adequately covers the state space -- play a fundamental role in determining the sample complexity of offline reinforcement learning. While such conditions might seem…

Machine Learning · Computer Science 2022-10-11 Tengyang Xie , Dylan J. Foster , Yu Bai , Nan Jiang , Sham M. Kakade

How do you incentivize self-interested agents to $\textit{explore}$ when they prefer to $\textit{exploit}$? We consider complex exploration problems, where each agent faces the same (but unknown) MDP. In contrast with traditional…

Machine Learning · Computer Science 2023-02-21 Max Simchowitz , Aleksandrs Slivkins

Reinforcement learning (RL) and Deep Reinforcement Learning (DRL), in particular, have the potential to disrupt and are already changing the way we interact with the world. One of the key indicators of their applicability is their ability…

Machine Learning · Computer Science 2024-08-20 Nikolai Rozanov

While many classical notions of learnability (e.g., PAC learnability) are distribution-free, utilizing the specific structures of an input distribution may improve learning performance. For example, a product distribution on a…

Machine Learning · Computer Science 2022-12-14 Tao Lin