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Contextual bandits are a central framework for sequential decision-making, with applications ranging from recommendation systems to clinical trials. While nonparametric methods can flexibly model complex reward structures, they suffer from…

统计理论 · 数学 2026-01-01 Wanteng Ma , T. Tony Cai

Bandit learning is characterized by the tension between long-term exploration and short-term exploitation. However, as has recently been noted, in settings in which the choices of the learning algorithm correspond to important decisions…

机器学习 · 计算机科学 2018-01-11 Sampath Kannan , Jamie Morgenstern , Aaron Roth , Bo Waggoner , Zhiwei Steven Wu

We study linear contextual bandits with access to a large, confounded, offline dataset that was sampled from some fixed policy. We show that this problem is closely related to a variant of the bandit problem with side information. We…

机器学习 · 计算机科学 2021-08-11 Guy Tennenholtz , Uri Shalit , Shie Mannor , Yonathan Efroni

Learning from human feedback plays an important role in aligning generative models, such as large language models (LLM). However, the effectiveness of this approach can be influenced by adversaries, who may intentionally provide misleading…

机器学习 · 计算机科学 2025-11-13 Qiwei Di , Jiafan He , Quanquan Gu

Contextual bandit algorithms often estimate reward models to inform decision-making. However, true rewards can contain action-independent redundancies that are not relevant for decision-making. We show it is more data-efficient to estimate…

机器学习 · 计算机科学 2023-02-27 Aldo Gael Carranza , Sanath Kumar Krishnamurthy , Susan Athey

We develop the first general semi-bandit algorithm that simultaneously achieves $\mathcal{O}(\log T)$ regret for stochastic environments and $\mathcal{O}(\sqrt{T})$ regret for adversarial environments without knowledge of the regime or the…

机器学习 · 计算机科学 2019-09-27 Julian Zimmert , Haipeng Luo , Chen-Yu Wei

We consider stochastic sequential learning problems where the learner can observe the \textit{average reward of several actions}. Such a setting is interesting in many applications involving monitoring and surveillance, where the set of the…

机器学习 · 计算机科学 2015-06-22 Manjesh Kumar Hanawal , Venkatesh Saligrama , Michal Valko , R\' emi Munos

We initiate the study of learning in contextual bandits with the help of loss predictors. The main question we address is whether one can improve over the minimax regret $\mathcal{O}(\sqrt{T})$ for learning over $T$ rounds, when the total…

机器学习 · 计算机科学 2020-10-16 Chen-Yu Wei , Haipeng Luo , Alekh Agarwal

We study regret minimization in a stochastic multi-armed bandit setting and establish a fundamental trade-off between the regret suffered under an algorithm, and its statistical robustness. Considering broad classes of underlying arms'…

机器学习 · 计算机科学 2020-06-23 Kumar Ashutosh , Jayakrishnan Nair , Anmol Kagrecha , Krishna Jagannathan

We consider stochastic multi-armed bandit problems where the expected reward is a Lipschitz function of the arm, and where the set of arms is either discrete or continuous. For discrete Lipschitz bandits, we derive asymptotic problem…

机器学习 · 计算机科学 2014-05-20 Stefan Magureanu , Richard Combes , Alexandre Proutiere

Many physical systems have underlying safety considerations that require that the strategy deployed ensures the satisfaction of a set of constraints. Further, often we have only partial information on the state of the system. We study the…

Contextual bandits have emerged as a cornerstone in reinforcement learning, enabling systems to make decisions with partial feedback. However, as contexts grow in complexity, traditional bandit algorithms can face challenges in adequately…

机器学习 · 计算机科学 2023-11-07 Ali Baheri , Cecilia O. Alm

We show that learning algorithms satisfying a $\textit{low approximate regret}$ property experience fast convergence to approximate optimality in a large class of repeated games. Our property, which simply requires that each learner has…

计算机科学与博弈论 · 计算机科学 2016-12-19 Dylan J. Foster , Zhiyuan Li , Thodoris Lykouris , Karthik Sridharan , Eva Tardos

We consider the problem of designing contextual bandit algorithms in the ``cross-learning'' setting of Balseiro et al., where the learner observes the loss for the action they play in all possible contexts, not just the context of the…

机器学习 · 计算机科学 2024-01-04 Jon Schneider , Julian Zimmert

We introduce Conformal Bandits, a novel framework integrating Conformal Prediction (CP) into bandit problems, a classic paradigm for sequential decision-making under uncertainty. Traditional regret-minimisation bandit strategies like…

机器学习 · 计算机科学 2025-12-11 Simone Cuonzo , Nina Deliu

Leveraging offline data is an attractive way to accelerate online sequential decision-making. However, it is crucial to account for latent states in users or environments in the offline data, and latent bandits form a compelling model for…

机器学习 · 计算机科学 2025-09-03 Chinmaya Kausik , Kevin Tan , Ambuj Tewari

Typical contextual bandit algorithms assume that the rewards at each round lie in some fixed range $[0, R]$, and their regret scales polynomially with this reward range $R$. However, many practical scenarios naturally involve heavy-tailed…

机器学习 · 统计学 2025-02-05 Chenlu Ye , Yujia Jin , Alekh Agarwal , Tong Zhang

We consider the regret minimization task in a dueling bandits problem with context information. In every round of the sequential decision problem, the learner makes a context-dependent selection of two choice alternatives (arms) to be…

机器学习 · 计算机科学 2022-10-14 Viktor Bengs , Aadirupa Saha , Eyke Hüllermeier

We study how to learn optimal interventions sequentially given causal information represented as a causal graph along with associated conditional distributions. Causal modeling is useful in real world problems like online advertisement…

机器学习 · 统计学 2020-06-12 Yangyi Lu , Amirhossein Meisami , Ambuj Tewari , Zhenyu Yan

We describe a novel algorithm for noisy global optimisation and continuum-armed bandits, with good convergence properties over any continuous reward function having finitely many polynomial maxima. Over such functions, our algorithm…

统计理论 · 数学 2015-09-30 Adam D. Bull