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This paper presents a finite-time analysis of the KL-UCB algorithm, an online, horizon-free index policy for stochastic bandit problems. We prove two distinct results: first, for arbitrary bounded rewards, the KL-UCB algorithm satisfies a…

统计理论 · 数学 2013-08-30 Aurélien Garivier , Olivier Cappé

We consider a stochastic linear bandit problem in which the rewards are not only subject to random noise, but also adversarial attacks subject to a suitable budget $C$ (i.e., an upper bound on the sum of corruption magnitudes across the…

机器学习 · 统计学 2020-10-29 Ilija Bogunovic , Arpan Losalka , Andreas Krause , Jonathan Scarlett

We consider the general (stochastic) contextual bandit problem under the realizability assumption, i.e., the expected reward, as a function of contexts and actions, belongs to a general function class $\mathcal{F}$. We design a fast and…

机器学习 · 计算机科学 2021-07-13 David Simchi-Levi , Yunzong Xu

Regret minimization in streaming multi-armed bandits (MABs) has been studied extensively in recent years. In the single-pass setting with $K$ arms and $T$ trials, a regret lower bound of $\Omega(T^{2/3})$ has been proved for any algorithm…

机器学习 · 计算机科学 2023-06-06 Chen Wang

We study cooperative stochastic multi-armed bandits with vector-valued rewards under adversarial corruption and limited verification. In each of $T$ rounds, each of $N$ agents selects an arm, the environment generates a clean reward vector,…

机器学习 · 计算机科学 2026-02-23 Ming Shi

Contextual bandits are a rich model for sequential decision making given side information, with important applications, e.g., in recommender systems. We propose novel algorithms for contextual bandits harnessing neural networks to…

机器学习 · 统计学 2022-03-01 Parnian Kassraie , Andreas Krause

We address the problem of stochastic combinatorial semi-bandits, where a player selects among P actions from the power set of a set containing d base items. Adaptivity to the problem's structure is essential in order to obtain optimal…

机器学习 · 计算机科学 2024-11-18 Julien Zhou , Pierre Gaillard , Thibaud Rahier , Houssam Zenati , Julyan Arbel

We consider a stochastic bandit problem with countably many arms that belong to a finite set of types, each characterized by a unique mean reward. In addition, there is a fixed distribution over types which sets the proportion of each type…

机器学习 · 计算机科学 2021-05-25 Anand Kalvit , Assaf Zeevi

We study best-of-both-worlds algorithms for bandits with switching cost, recently addressed by Rouyer, Seldin and Cesa-Bianchi, 2021. We introduce a surprisingly simple and effective algorithm that simultaneously achieves minimax optimal…

机器学习 · 计算机科学 2022-11-03 Idan Amir , Guy Azov , Tomer Koren , Roi Livni

We consider the classic online learning and stochastic multi-armed bandit (MAB) problems, when at each step, the online policy can probe and find out which of a small number ($k$) of choices has better reward (or loss) before making its…

数据结构与算法 · 计算机科学 2022-11-08 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

Policy regret is a well established notion of measuring the performance of an online learning algorithm against an adaptive adversary. We study restrictions on the adversary that enable efficient minimization of the \emph{complete policy…

机器学习 · 统计学 2022-04-26 Dhruv Malik , Yuanzhi Li , Aarti Singh

We study a collaborative multi-agent stochastic linear bandit setting, where $N$ agents that form a network communicate locally to minimize their overall regret. In this setting, each agent has its own linear bandit problem (its own reward…

机器学习 · 计算机科学 2022-05-16 Ahmadreza Moradipari , Mohammad Ghavamzadeh , Mahnoosh Alizadeh

Upper Confidence Bound (UCB) algorithms are a widely-used class of sequential algorithms for the $K$-armed bandit problem. Despite extensive research over the past decades aimed at understanding their asymptotic and (near) minimax…

统计理论 · 数学 2024-12-10 Qiyang Han , Koulik Khamaru , Cun-Hui Zhang

We propose a novel variant of the UCB algorithm (referred to as Efficient-UCB-Variance (EUCBV)) for minimizing cumulative regret in the stochastic multi-armed bandit (MAB) setting. EUCBV incorporates the arm elimination strategy proposed in…

机器学习 · 计算机科学 2018-07-12 Subhojyoti Mukherjee , K. P. Naveen , Nandan Sudarsanam , Balaraman Ravindran

We derive an algorithm that achieves the optimal (within constants) pseudo-regret in both adversarial and stochastic multi-armed bandits without prior knowledge of the regime and time horizon. The algorithm is based on online mirror descent…

机器学习 · 计算机科学 2022-03-03 Julian Zimmert , Yevgeny Seldin

In this paper, we propose and study opportunistic bandits - a new variant of bandits where the regret of pulling a suboptimal arm varies under different environmental conditions, such as network load or produce price. When the load/price is…

机器学习 · 计算机科学 2018-12-03 Huasen Wu , Xueying Guo , Xin Liu

In this paper, we consider stochastic multi-armed bandits (MABs) with heavy-tailed rewards, whose $p$-th moment is bounded by a constant $\nu_{p}$ for $1<p\leq2$. First, we propose a novel robust estimator which does not require $\nu_{p}$…

机器学习 · 计算机科学 2021-10-28 Kyungjae Lee , Hongjun Yang , Sungbin Lim , Songhwai Oh

We study a security threat to adversarial multi-armed bandits, in which an attacker perturbs the loss or reward signal to control the behavior of the victim bandit player. We show that the attacker is able to mislead any no-regret…

机器学习 · 计算机科学 2023-01-31 Yuzhe Ma , Zhijin Zhou

Conservative Contextual Bandits (CCBs) address safety in sequential decision making by requiring that an agent's policy, along with minimizing regret, also satisfies a safety constraint: the performance is not worse than a baseline policy…

机器学习 · 计算机科学 2024-12-10 Rohan Deb , Mohammad Ghavamzadeh , Arindam Banerjee

Autoregressive processes naturally arise in a large variety of real-world scenarios, including stock markets, sales forecasting, weather prediction, advertising, and pricing. When facing a sequential decision-making problem in such a…