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We study federated contextual linear bandits, where $M$ agents cooperate with each other to solve a global contextual linear bandit problem with the help of a central server. We consider the asynchronous setting, where all agents work…

机器学习 · 计算机科学 2022-07-08 Jiafan He , Tianhao Wang , Yifei Min , Quanquan Gu

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 consider the problem of combining and learning over a set of adversarial bandit algorithms with the goal of adaptively tracking the best one on the fly. The CORRAL algorithm of Agarwal et al. (2017) and its variants (Foster et al.,…

机器学习 · 计算机科学 2022-02-15 Haipeng Luo , Mengxiao Zhang , Peng Zhao , Zhi-Hua Zhou

We consider the problem of contextual bandits with stochastic experts, which is a variation of the traditional stochastic contextual bandit with experts problem. In our problem setting, we assume access to a class of stochastic experts,…

机器学习 · 统计学 2021-03-04 Rajat Sen , Karthikeyan Shanmugam , Nihal Sharma , Sanjay Shakkottai

We propose the first reduction-based approach to obtaining long-term memory guarantees for online learning in the sense of Bousquet and Warmuth, 2002, by reducing the problem to achieving typical switching regret. Specifically, for the…

机器学习 · 计算机科学 2019-10-29 Kai Zheng , Haipeng Luo , Ilias Diakonikolas , Liwei Wang

We study nonparametric contextual bandits under batch constraints, where the expected reward for each action is modeled as a smooth function of covariates, and the policy updates are made at the end of each batch of observations. We…

统计理论 · 数学 2025-10-06 Rong Jiang , Cong Ma

We study the problem of learning 'good' interventions in a stochastic environment modeled by its underlying causal graph. Good interventions refer to interventions that maximize rewards. Specifically, we consider the setting of a…

机器学习 · 计算机科学 2024-01-17 Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

We study the optimal batch-regret tradeoff for batch linear contextual bandits. For any batch number $M$, number of actions $K$, time horizon $T$, and dimension $d$, we provide an algorithm and prove its regret guarantee, which, due to…

机器学习 · 计算机科学 2022-10-18 Zihan Zhang , Xiangyang Ji , Yuan Zhou

We prove an instance independent (poly) logarithmic regret for stochastic contextual bandits with linear payoff. Previously, in \cite{chu2011contextual}, a lower bound of $\mathcal{O}(\sqrt{T})$ is shown for the contextual linear bandit…

机器学习 · 统计学 2022-05-23 Avishek Ghosh , Abishek Sankararaman

Contextual bandit algorithms are sensitive to the estimation method of the outcome model as well as the exploration method used, particularly in the presence of rich heterogeneity or complex outcome models, which can lead to difficult…

机器学习 · 计算机科学 2018-12-18 Maria Dimakopoulou , Zhengyuan Zhou , Susan Athey , Guido Imbens

We study the problem of meta-learning several contextual stochastic bandits tasks by leveraging their concentration around a low-dimensional affine subspace, which we learn via online principal component analysis to reduce the expected…

机器学习 · 计算机科学 2024-04-02 Steven Bilaj , Sofien Dhouib , Setareh Maghsudi

This paper proposes a linear bandit algorithm that is adaptive to environments at two different levels of hierarchy. At the higher level, the proposed algorithm adapts to a variety of types of environments. More precisely, it achieves…

机器学习 · 计算机科学 2023-02-27 Shinji Ito , Kei Takemura

Multi-dimensional online decision making plays a crucial role in many real applications such as online recommendation and digital marketing. In these problems, a decision at each time is a combination of choices from different types of…

机器学习 · 统计学 2024-02-14 Jie Zhou , Botao Hao , Zheng Wen , Jingfei Zhang , Will Wei Sun

We address a generalization of the bandit with knapsacks problem, where a learner aims to maximize rewards while satisfying an arbitrary set of long-term constraints. Our goal is to design best-of-both-worlds algorithms that perform…

机器学习 · 计算机科学 2024-05-28 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Federico Fusco

We address the problem of learning in an online, bandit setting where the learner must repeatedly select among $K$ actions, but only receives partial feedback based on its choices. We establish two new facts: First, using a new algorithm…

机器学习 · 计算机科学 2011-10-28 Alina Beygelzimer , John Langford , Lihong Li , Lev Reyzin , Robert E. Schapire

Reinforcement learning addresses the dilemma between exploration to find profitable actions and exploitation to act according to the best observations already made. Bandit problems are one such class of problems in stateless environments…

机器学习 · 计算机科学 2012-02-20 Ananda Narayanan B , Balaraman Ravindran

This work studies linear bandits under a new notion of gap-adjusted misspecification and is an extension of Liu et al. (2023). When the underlying reward function is not linear, existing linear bandits work usually relies on a uniform…

机器学习 · 计算机科学 2025-01-10 Chong Liu , Dan Qiao , Ming Yin , Ilija Bogunovic , Yu-Xiang Wang

Bandit algorithms sequentially accumulate data using adaptive sampling policies, offering flexibility for real-world applications. However, excessive sampling can be costly, motivating the devolopment of early stopping methods and reliable…

统计理论 · 数学 2025-02-06 Zihan Cui

We design new differentially private algorithms for the problems of adversarial bandits and bandits with expert advice. For adversarial bandits, we give a simple and efficient conversion of any non-private bandit algorithm to a private…

机器学习 · 计算机科学 2025-05-29 Hilal Asi , Vinod Raman , Kunal Talwar

We study bandit algorithms under data poisoning attacks in a bounded reward setting. We consider a strong attacker model in which the attacker can observe both the selected actions and their corresponding rewards and can contaminate the…

机器学习 · 计算机科学 2022-05-05 Anshuka Rangi , Long Tran-Thanh , Haifeng Xu , Massimo Franceschetti