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We study computationally and statistically efficient reinforcement learning under the linear $Q^{\pi}$ realizability assumption, where any policy's $Q$-function is linear in a given state-action feature representation. Prior methods in this…

机器学习 · 计算机科学 2026-03-03 Yijing Ke , Zihan Zhang , Ruosong Wang

In this paper, we study the role of feedback in online learning with switching costs. It has been shown that the minimax regret is $\widetilde{\Theta}(T^{2/3})$ under bandit feedback and improves to $\widetilde{\Theta}(\sqrt{T})$ under…

机器学习 · 计算机科学 2023-06-19 Duo Cheng , Xingyu Zhou , Bo Ji

Reinforcement Learning (RL) has been able to solve hard problems such as playing Atari games or solving the game of Go, with a unified approach. Yet modern deep RL approaches are still not widely used in real-world applications. One reason…

机器学习 · 计算机科学 2021-03-08 Achraf Azize , Othman Gaizi

Reinforcement learning (RL) -- finding the optimal behaviour (also referred to as policy) maximizing the collected long-term cumulative reward -- is among the most influential approaches in machine learning with a large number of successful…

机器学习 · 统计学 2025-02-28 Tao Ma , Xuzhi Yang , Zoltan Szabo

We study the constrained reinforcement learning problem, in which an agent aims to maximize the expected cumulative reward subject to a constraint on the expected total value of a utility function. In contrast to existing model-based…

机器学习 · 计算机科学 2023-01-10 Arnob Ghosh , Xingyu Zhou , Ness Shroff

While numerous works have focused on devising efficient algorithms for reinforcement learning (RL) with uniformly bounded rewards, it remains an open question whether sample or time-efficient algorithms for RL with large state-action space…

机器学习 · 计算机科学 2024-03-08 Jiayi Huang , Han Zhong , Liwei Wang , Lin F. Yang

It is a remarkable fact that the same $O(\sqrt{T})$ regret rate can be achieved in both the Experts Problem and the Adversarial Multi-Armed Bandit problem albeit with a worse dependence on number of actions in the latter case. In contrast,…

机器学习 · 计算机科学 2022-10-05 Gautam Chandrasekaran , Ambuj Tewari

We study how representation learning can improve the efficiency of bandit problems. We study the setting where we play $T$ linear bandits with dimension $d$ concurrently, and these $T$ bandit tasks share a common $k (\ll d)$ dimensional…

机器学习 · 计算机科学 2021-05-06 Jiaqi Yang , Wei Hu , Jason D. Lee , Simon S. Du

Self-play, where the algorithm learns by playing against itself without requiring any direct supervision, has become the new weapon in modern Reinforcement Learning (RL) for achieving superhuman performance in practice. However, the…

机器学习 · 计算机科学 2020-07-10 Yu Bai , Chi Jin

Many popular reinforcement learning problems (e.g., navigation in a maze, some Atari games, mountain car) are instances of the episodic setting under its stochastic shortest path (SSP) formulation, where an agent has to achieve a goal state…

机器学习 · 统计学 2020-08-18 Jean Tarbouriech , Evrard Garcelon , Michal Valko , Matteo Pirotta , Alessandro Lazaric

We study online learning when partial feedback information is provided following every action of the learning process, and the learner incurs switching costs for changing his actions. In this setting, the feedback information system can be…

机器学习 · 计算机科学 2019-05-21 Anshuka Rangi , Massimo Franceschetti

We study online learning in two-player uninformed Markov games, where the opponent's actions and policies are unobserved. In this setting, Tian et al. (2021) show that achieving no-external-regret is impossible without incurring an…

机器学习 · 计算机科学 2026-02-10 Junyan Liu , Haipeng Luo , Zihan Zhang , Lillian J. Ratliff

Recent literature has made much progress in understanding \emph{online LQR}: a modern learning-theoretic take on the classical control problem in which a learner attempts to optimally control an unknown linear dynamical system with fully…

机器学习 · 计算机科学 2020-10-06 Max Simchowitz

In many applications of Reinforcement Learning (RL), it is critically important that the algorithm performs safely, such that instantaneous hard constraints are satisfied at each step, and unsafe states and actions are avoided. However,…

机器学习 · 计算机科学 2023-02-10 Ming Shi , Yingbin Liang , Ness Shroff

This paper studies the safe reinforcement learning problem formulated as an episodic finite-horizon tabular constrained Markov decision process with an unknown transition kernel and stochastic reward and cost functions. We propose a…

机器学习 · 计算机科学 2024-10-15 Kihyun Yu , Duksang Lee , William Overman , Dabeen Lee

Reinforcement learning (RL) has emerged as a promising strategy for finetuning small language models (SLMs) to solve targeted tasks such as math and coding. However, RL algorithms tend to be resource-intensive, taking a significant amount…

机器学习 · 计算机科学 2025-10-07 Lianghuan Huang , Sagnik Anupam , Insup Lee , Shuo Li , Osbert Bastani

We consider reinforcement learning (RL) in Markov Decision Processes in which an agent repeatedly interacts with an environment that is modeled by a controlled Markov process. At each time step $t$, it earns a reward, and also incurs a…

机器学习 · 计算机科学 2023-03-16 Rahul Singh , Abhishek Gupta , Ness B. Shroff

Recent studies have shown that episodic reinforcement learning (RL) is not more difficult than contextual bandits, even with a long planning horizon and unknown state transitions. However, these results are limited to either tabular Markov…

机器学习 · 计算机科学 2022-05-24 Dongruo Zhou , Quanquan Gu

Exploration in reinforcement learning (RL) suffers from the curse of dimensionality when the state-action space is large. A common practice is to parameterize the high-dimensional value and policy functions using given features. However…

机器学习 · 计算机科学 2019-06-14 Lin F. Yang , Mengdi Wang

Recently a multi-agent variant of the classical multi-armed bandit was proposed to tackle fairness issues in online learning. Inspired by a long line of work in social choice and economics, the goal is to optimize the Nash social welfare…

机器学习 · 计算机科学 2022-09-27 Matthew Jones , Huy Lê Nguyen , Thy Nguyen