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In this paper, we revisit the regret of undiscounted reinforcement learning in MDPs with a birth and death structure. Specifically, we consider a controlled queue with impatient jobs and the main objective is to optimize a trade-off between…

机器学习 · 计算机科学 2023-02-22 Jonatha Anselmi , Bruno Gaujal , Louis-Sébastien Rebuffi

We study online learning in \emph{constrained MDPs} (CMDPs), focusing on the goal of attaining sublinear strong regret and strong cumulative constraint violation. Differently from their standard (weak) counterparts, these metrics do not…

机器学习 · 计算机科学 2024-10-04 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

In order to make good decision under uncertainty an agent must learn from observations. To do so, two of the most common frameworks are Contextual Bandits and Markov Decision Processes (MDPs). In this paper, we study whether there exist…

机器学习 · 计算机科学 2019-11-05 Andrea Zanette , Emma Brunskill

We consider the problem of learning in adversarial Markov decision processes [MDPs] with an oblivious adversary in a full-information setting. The agent interacts with an environment during $T$ episodes, each of which consists of $H$…

机器学习 · 计算机科学 2025-03-06 Daniil Tiapkin , Evgenii Chzhen , Gilles Stoltz

We study reinforcement learning with delayed state observation, where the agent observes the current state after some random number of time steps. We propose an algorithm that combines the augmentation method and the upper confidence bound…

机器学习 · 计算机科学 2026-03-05 Harin Lee , Kevin Jamieson

We consider un-discounted reinforcement learning (RL) in Markov decision processes (MDPs) under drifting non-stationarity, i.e., both the reward and state transition distributions are allowed to evolve over time, as long as their respective…

机器学习 · 计算机科学 2020-06-26 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

Reinforcement learning with multinomial logistic (MNL) function approximation has become an important framework due to its flexibility and broad applicability. While existing studies have established regret guarantees under worst-case…

机器学习 · 统计学 2026-05-28 Wonyoung Kim , Min-Hwan Oh , Garud Iyengar , Assaf Zeevi

We study variance-dependent regret bounds for Markov decision processes (MDPs). Algorithms with variance-dependent regret guarantees can automatically exploit environments with low variance (e.g., enjoying constant regret on deterministic…

机器学习 · 计算机科学 2023-05-23 Runlong Zhou , Zihan Zhang , Simon S. Du

Reinforcement Learning algorithms that learn from human feedback (RLHF) need to be efficient in terms of statistical complexity, computational complexity, and query complexity. In this work, we consider the RLHF setting where the feedback…

机器学习 · 计算机科学 2024-03-14 Runzhe Wu , Wen Sun

Despite rapid progress in theoretical reinforcement learning (RL) over the last few years, most of the known guarantees are worst-case in nature, failing to take advantage of structure that may be known a priori about a given RL problem at…

机器学习 · 计算机科学 2021-10-26 Noah Golowich , Ankur Moitra

Traditional reinforcement learning usually assumes either episodic interactions with resets or continuous operation to minimize average or cumulative loss. While episodic settings have many theoretical results, resets are often unrealistic…

最优化与控制 · 数学 2026-01-13 Bianca Marin Moreno , Margaux Brégère , Pierre Gaillard , Nadia Oudjane

In this paper, we propose and study opportunistic reinforcement learning - a new variant of reinforcement learning problems where the regret of selecting a suboptimal action varies under an external environmental condition known as the…

机器学习 · 计算机科学 2022-10-26 Xiaoxiao Wang , Nader Bouacida , Xueying Guo , Xin Liu

We consider regret minimization for Adversarial Markov Decision Processes (AMDPs), where the loss functions are changing over time and adversarially chosen, and the learner only observes the losses for the visited state-action pairs (i.e.,…

机器学习 · 计算机科学 2022-09-20 Yan Dai , Haipeng Luo , Liyu Chen

A central issue lying at the heart of online reinforcement learning (RL) is data efficiency. While a number of recent works achieved asymptotically minimal regret in online RL, the optimality of these results is only guaranteed in a…

机器学习 · 计算机科学 2025-04-30 Zihan Zhang , Yuxin Chen , Jason D. Lee , Simon S. Du

A crucial problem in reinforcement learning is learning the optimal policy. We study this in tabular infinite-horizon discounted Markov decision processes under the online setting. The existing algorithms either fail to achieve regret…

机器学习 · 计算机科学 2023-12-13 Xiang Ji , Gen Li

Reinforcement learning (RL) has traditionally been understood from an episodic perspective; the concept of non-episodic RL, where there is no restart and therefore no reliable recovery, remains elusive. A fundamental question in…

机器学习 · 计算机科学 2021-05-31 Shuang Liu , Hao Su

While a large body of empirical results show that temporally-extended actions and options may significantly affect the learning performance of an agent, the theoretical understanding of how and when options can be beneficial in online…

机器学习 · 计算机科学 2017-04-18 Ronan Fruit , Alessandro Lazaric

We study model-based reinforcement learning in an unknown finite communicating Markov decision process. We propose a simple algorithm that leverages a variance based confidence interval. We show that the proposed algorithm, UCRL-V, achieves…

机器学习 · 计算机科学 2019-12-12 Aristide Tossou , Debabrota Basu , Christos Dimitrakakis

We study learning in periodic Markov Decision Process (MDP), a special type of non-stationary MDP where both the state transition probabilities and reward functions vary periodically, under the average reward maximization setting. We…

机器学习 · 计算机科学 2023-03-20 Ayush Aniket , Arpan Chattopadhyay

We consider an agent interacting with an environment in a single stream of actions, observations, and rewards, with no reset. This process is not assumed to be a Markov Decision Process (MDP). Rather, the agent has several representations…

机器学习 · 计算机科学 2013-03-19 Odalric-Ambrym Maillard , Phuong Nguyen , Ronald Ortner , Daniil Ryabko