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We consider the adversarial online multi-task reinforcement learning setting, where in each of $K$ episodes the learner is given an unknown task taken from a finite set of $M$ unknown finite-horizon MDP models. The learner's objective is to…

机器学习 · 计算机科学 2023-01-12 Quan Nguyen , Nishant A. Mehta

We give novel algorithms for multi-task and lifelong linear bandits with shared representation. Specifically, we consider the setting where we play $M$ linear bandits with dimension $d$, each for $T$ rounds, and these $M$ bandit tasks share…

机器学习 · 计算机科学 2022-03-30 Jiaqi Yang , Qi Lei , Jason D. Lee , Simon S. Du

We consider the optimal sample complexity theory of tabular reinforcement learning (RL) for maximizing the infinite horizon discounted reward in a Markov decision process (MDP). Optimal worst-case complexity results have been developed for…

机器学习 · 计算机科学 2023-10-03 Shengbo Wang , Jose Blanchet , Peter Glynn

We consider the exploration-exploitation dilemma in finite-horizon reinforcement learning problems whose state-action space is endowed with a metric. We introduce Kernel-UCBVI, a model-based optimistic algorithm that leverages the…

机器学习 · 计算机科学 2022-03-25 Omar Darwiche Domingues , Pierre Ménard , Matteo Pirotta , Emilie Kaufmann , Michal Valko

We consider a linear stochastic bandit problem involving $M$ agents that can collaborate via a central server to minimize regret. A fraction $\alpha$ of these agents are adversarial and can act arbitrarily, leading to the following tension:…

机器学习 · 计算机科学 2022-06-08 Aritra Mitra , Arman Adibi , George J. Pappas , Hamed Hassani

We consider a multi-armed bandit problem where payoffs are a linear function of an observed stochastic contextual variable. In the scenario where there exists a gap between optimal and suboptimal rewards, several algorithms have been…

数据结构与算法 · 计算机科学 2014-07-08 José Bento , Stratis Ioannidis , S. Muthukrishnan , Jinyun Yan

We study the linear contextual bandit problem in the presence of adversarial corruption, where the reward at each round is corrupted by an adversary, and the corruption level (i.e., the sum of corruption magnitudes over the horizon) is…

机器学习 · 计算机科学 2022-07-12 Jiafan He , Dongruo Zhou , Tong Zhang , Quanquan Gu

Multi-agent reinforcement learning (MARL) problems are challenging due to information asymmetry. To overcome this challenge, existing methods often require high level of coordination or communication between the agents. We consider…

机器学习 · 计算机科学 2021-11-02 Hsu Kao , Chen-Yu Wei , Vijay Subramanian

We consider online reinforcement learning (RL) in episodic Markov decision processes (MDPs) under the linear $q^\pi$-realizability assumption, where it is assumed that the action-values of all policies can be expressed as linear functions…

机器学习 · 计算机科学 2023-12-21 Gellért Weisz , András György , Csaba Szepesvári

We consider online learning for episodic stochastically constrained Markov decision processes (CMDPs), which plays a central role in ensuring the safety of reinforcement learning. Here the loss function can vary arbitrarily across the…

机器学习 · 计算机科学 2021-10-19 Shuang Qiu , Xiaohan Wei , Zhuoran Yang , Jieping Ye , Zhaoran Wang

Many works have developed no-regret algorithms for contextual bandits with function approximation, where the mean reward function over context-action pairs belongs to a function class. Although there are many approaches to this problem, one…

机器学习 · 计算机科学 2025-03-18 Aldo Pacchiano

We consider un-discounted reinforcement learning (RL) in Markov decision processes (MDPs) under temporal drifts, ie, both the reward and state transition distributions are allowed to evolve over time, as long as their respective total…

机器学习 · 计算机科学 2020-05-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

This work advances randomized exploration in reinforcement learning (RL) with function approximation modeled by linear mixture MDPs. We establish the first prior-dependent Bayesian regret bound for RL with function approximation; and refine…

机器学习 · 统计学 2024-03-19 Yingru Li , Zhi-Quan Luo

Despite the significant interest and progress in reinforcement learning (RL) problems with adversarial corruption, current works are either confined to the linear setting or lead to an undesired $\tilde{O}(\sqrt{T}\zeta)$ regret bound,…

机器学习 · 统计学 2024-02-13 Chenlu Ye , Wei Xiong , Quanquan Gu , Tong Zhang

We study the regret guarantee for risk-sensitive reinforcement learning (RSRL) via distributional reinforcement learning (DRL) methods. In particular, we consider finite episodic Markov decision processes whose objective is the entropic…

机器学习 · 计算机科学 2024-01-26 Hao Liang , Zhi-Quan Luo

We consider online learning for minimizing regret in unknown, episodic Markov decision processes (MDPs) with continuous states and actions. We develop variants of the UCRL and posterior sampling algorithms that employ nonparametric Gaussian…

机器学习 · 计算机科学 2019-01-04 Sayak Ray Chowdhury , Aditya Gopalan

Learning to control an unknown dynamical system with respect to high-level temporal specifications is an important problem in control theory. We present the first regret-free online algorithm for learning a controller for linear temporal…

人工智能 · 计算机科学 2025-06-09 Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani

Offline Reinforcement Learning (RL) aims to learn a near-optimal policy from a fixed dataset of transitions collected by another policy. This problem has attracted a lot of attention recently, but most existing methods with strong…

机器学习 · 计算机科学 2023-05-23 Germano Gabbianelli , Gergely Neu , Nneka Okolo , Matteo Papini

We introduce the problem of model selection for contextual bandits, where a learner must adapt to the complexity of the optimal policy while balancing exploration and exploitation. Our main result is a new model selection guarantee for…

机器学习 · 计算机科学 2019-11-15 Dylan J. Foster , Akshay Krishnamurthy , Haipeng Luo

We study matrix estimation problems arising in reinforcement learning (RL) with low-rank structure. In low-rank bandits, the matrix to be recovered specifies the expected arm rewards, and for low-rank Markov Decision Processes (MDPs), it…

机器学习 · 计算机科学 2023-10-31 Stefan Stojanovic , Yassir Jedra , Alexandre Proutiere