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We study the effect of impairment on stochastic multi-armed bandits and develop new ways to mitigate it. Impairment effect is the phenomena where an agent only accrues reward for an action if they have played it at least a few times in the…

机器学习 · 计算机科学 2020-06-23 Priyank Agrawal , Theja Tulabandhula

We consider a special case of bandit problems, named batched bandits, in which an agent observes batches of responses over a certain time period. Unlike previous work, we consider a more practically relevant batch-centric scenario of batch…

机器学习 · 计算机科学 2023-04-04 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

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

In the multi-armed bandit framework, there are two formulations that are commonly employed to handle time-varying reward distributions: adversarial bandit and nonstationary bandit. Although their oracles, algorithms, and regret analysis…

机器学习 · 计算机科学 2023-11-28 Ningyuan Chen , Shuoguang Yang , Hailun Zhang

Contextual bandits are widely used in Internet services from news recommendation to advertising, and to Web search. Generalized linear models (logistical regression in particular) have demonstrated stronger performance than linear models in…

机器学习 · 计算机科学 2017-06-20 Lihong Li , Yu Lu , Dengyong Zhou

We study online reinforcement learning in linear Markov decision processes with adversarial losses and bandit feedback, without prior knowledge on transitions or access to simulators. We introduce two algorithms that achieve improved regret…

机器学习 · 计算机科学 2023-10-19 Haolin Liu , Chen-Yu Wei , Julian Zimmert

In multi-armed bandits with network interference (MABNI), the action taken by one node can influence the rewards of others, creating complex interdependence. While existing research on MABNI largely concentrates on minimizing regret, it…

机器学习 · 计算机科学 2025-10-14 Zichen Wang , Haoyang Hong , Chuanhao Li , Haoxuan Li , Zhiheng Zhang , Huazheng Wang

Given a multi-armed bandit problem it may be desirable to achieve a smaller-than-usual worst-case regret for some special actions. I show that the price for such unbalanced worst-case regret guarantees is rather high. Specifically, if an…

机器学习 · 计算机科学 2015-11-03 Tor Lattimore

We study how to make decisions that minimize Bayesian regret in offline linear bandits. Prior work suggests that one must take actions with maximum lower confidence bound (LCB) on their reward. We argue that the reliance on LCB is…

机器学习 · 计算机科学 2024-07-04 Marek Petrik , Guy Tennenholtz , Mohammad Ghavamzadeh

In this paper, we propose a constant word (RAM model) algorithm for regret minimisation for both finite and infinite Stochastic Multi-Armed Bandit (MAB) instances. Most of the existing regret minimisation algorithms need to remember the…

机器学习 · 计算机科学 2019-01-25 Arghya Roy Chaudhuri , Shivaram Kalyanakrishnan

We study the tail behavior of regret in stochastic multi-armed bandits for algorithms that are asymptotically optimal in expectation. While minimizing expected regret is the classical objective, recent work shows that even such algorithms…

信息论 · 计算机科学 2026-04-17 Subhodip Panda , Shubhada Agrawal

We study a sequential decision problem where the learner faces a sequence of $K$-armed bandit tasks. The task boundaries might be known (the bandit meta-learning setting), or unknown (the non-stationary bandit setting). For a given integer…

We consider stochastic non-stationary linear bandits where the linear parameter connecting contexts to the reward changes over time. Existing algorithms in this setting localize the policy by gradually discarding or down-weighting past…

机器学习 · 统计学 2026-03-05 Margherita Lazzaretto , Jonas Peters , Niklas Pfister

In this paper, we study the problem of fair sequential decision making with biased linear bandit feedback. At each round, a player selects an action described by a covariate and by a sensitive attribute. The perceived reward is a linear…

统计理论 · 数学 2022-06-06 Solenne Gaucher , Alexandra Carpentier , Christophe Giraud

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 the linear contextual bandit problem with finite action sets. When the problem dimension is $d$, the time horizon is $T$, and there are $n \leq 2^{d/2}$ candidate actions per time period, we (1) show that the minimax expected…

机器学习 · 统计学 2020-08-20 Yingkai Li , Yining Wang , Yuan Zhou

We improve the efficiency of algorithms for stochastic \emph{combinatorial semi-bandits}. In most interesting problems, state-of-the-art algorithms take advantage of structural properties of rewards, such as \emph{independence}. However,…

机器学习 · 统计学 2019-06-24 Pierre Perrault , Vianney Perchet , Michal Valko

While classical formulations of multi-armed bandit problems assume that each arm's reward is independent and stationary, real-world applications often involve non-stationary environments and interdependencies between arms. In particular,…

机器学习 · 计算机科学 2025-06-19 Ryoma Sato , Shinji Ito

We consider the Multi-Armed Bandit (MAB) problem, where an agent sequentially chooses actions and observes rewards for the actions it took. While the majority of algorithms try to minimize the regret, i.e., the cumulative difference between…

机器学习 · 计算机科学 2021-09-14 Nadav Merlis , Shie Mannor

We consider model selection in stochastic bandit and reinforcement learning problems. Given a set of base learning algorithms, an effective model selection strategy adapts to the best learning algorithm in an online fashion. We show that by…

机器学习 · 计算机科学 2020-06-11 Yasin Abbasi-Yadkori , Aldo Pacchiano , My Phan