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相关论文: Batched Bandits with Crowd Externalities

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We obtain the upper bound of the loss function for a strategy in the multi-armed bandit problem with Gaussian distributions of incomes. Considered strategy is an asymptotic generalization of the strategy proposed by J. Bather for the…

统计理论 · 数学 2019-02-04 Alexander Kolnogorov , Sergey Garbar

This paper studies a class of constrained restless multi-armed bandits (CRMAB). The constraints are in the form of time varying set of actions (set of available arms). This variation can be either stochastic or semi-deterministic. Given a…

系统与控制 · 计算机科学 2021-09-07 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

We consider the problem of learning in single-player and multiplayer multiarmed bandit models. Bandit problems are classes of online learning problems that capture exploration versus exploitation tradeoffs. In a multiarmed bandit model,…

机器学习 · 统计学 2016-12-02 Naumaan Nayyar , Dileep Kalathil , Rahul Jain

We study the generalized linear contextual bandit problem within the constraints of limited adaptivity. In this paper, we present two algorithms, $\texttt{B-GLinCB}$ and $\texttt{RS-GLinCB}$, that address, respectively, two prevalent…

机器学习 · 计算机科学 2025-10-29 Ayush Sawarni , Nirjhar Das , Siddharth Barman , Gaurav Sinha

We investigate a nonstochastic bandit setting in which the loss of an action is not immediately charged to the player, but rather spread over the subsequent rounds in an adversarial way. The instantaneous loss observed by the player at the…

机器学习 · 计算机科学 2022-09-27 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Claudio Gentile , Yishay Mansour

We study the problem of minimizing gap-dependent regret for single-pass streaming stochastic multi-armed bandits (MAB). In this problem, the $n$ arms are present in a stream, and at most $m<n$ arms and their statistics can be stored in the…

机器学习 · 计算机科学 2025-03-05 Zichun Ye , Chihao Zhang , Jiahao Zhao

We consider the combinatorial bandits problem, where at each time step, the online learner selects a size-$k$ subset $s$ from the arms set $\mathcal{A}$, where $\left|\mathcal{A}\right| = n$, and observes a stochastic reward of each arm in…

机器学习 · 计算机科学 2021-03-05 Shuo Yang , Tongzheng Ren , Inderjit S. Dhillon , Sujay Sanghavi

Traditional multi-armed bandit (MAB) formulations usually make certain assumptions about the underlying arms' distributions, such as bounds on the support or their tail behaviour. Moreover, such parametric information is usually 'baked'…

机器学习 · 计算机科学 2022-03-29 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

We consider the classical stochastic multi-armed bandit but where, from time to time and roughly with frequency $\epsilon$, an extra observation is gathered by the agent for free. We prove that, no matter how small $\epsilon$ is the agent…

机器学习 · 计算机科学 2018-07-11 Rémy Degenne , Evrard Garcelon , Vianney Perchet

In this paper, we consider a new Multi-Armed Bandit (MAB) problem where arms are nodes in an unknown and possibly changing graph, and the agent (i) initiates random walks over the graph by pulling arms, (ii) observes the random walk…

机器学习 · 计算机科学 2022-06-28 Tianyu Wang , Lin F. Yang , Zizhuo Wang

In the classic multi-armed bandits problem, the goal is to have a policy for dynamically operating arms that each yield stochastic rewards with unknown means. The key metric of interest is regret, defined as the gap between the expected…

最优化与控制 · 数学 2010-11-23 Yi Gai , Bhaskar Krishnamachari , Rahul Jain

Efficiently trading off exploration and exploitation is one of the key challenges in online Reinforcement Learning (RL). Most works achieve this by carefully estimating the model uncertainty and following the so-called optimistic model.…

机器学习 · 计算机科学 2024-09-16 Asaf Cassel , Orin Levy , Yishay Mansour

We consider a special case of bandit problems, namely batched bandits. Motivated by natural restrictions of recommender systems and e-commerce platforms, we assume that a learning agent observes responses batched in groups over a certain…

机器学习 · 计算机科学 2021-11-04 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

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 consider a remote contextual multi-armed bandit (CMAB) problem, in which the decision-maker observes the context and the reward, but must communicate the actions to be taken by the agents over a rate-limited communication channel. This…

信息论 · 计算机科学 2022-02-11 Francesco Pase , Deniz Gunduz , Michele Zorzi

We propose a novel combinatorial stochastic-greedy bandit (SGB) algorithm for combinatorial multi-armed bandit problems when no extra information other than the joint reward of the selected set of $n$ arms at each time step $t\in [T]$ is…

机器学习 · 计算机科学 2023-12-14 Fares Fourati , Christopher John Quinn , Mohamed-Slim Alouini , Vaneet Aggarwal

In this paper, we study the behavior of the Upper Confidence Bound-Variance (UCB-V) algorithm for the Multi-Armed Bandit (MAB) problems, a variant of the canonical Upper Confidence Bound (UCB) algorithm that incorporates variance estimates…

机器学习 · 统计学 2025-02-18 Yingying Fan , Yuxuan Han , Jinchi Lv , Xiaocong Xu , Zhengyuan Zhou

We consider stochastic multi-armed bandits where the expected reward is a unimodal function over partially ordered arms. This important class of problems has been recently investigated in (Cope 2009, Yu 2011). The set of arms is either…

机器学习 · 计算机科学 2014-05-21 Richard Combes , Alexandre Proutiere

During online decision making in Multi-Armed Bandits (MAB), one needs to conduct inference on the true mean reward of each arm based on data collected so far at each step. However, since the arms are adaptively selected--thereby yielding…

机器学习 · 计算机科学 2021-06-29 Maria Dimakopoulou , Zhimei Ren , Zhengyuan Zhou

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