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We consider a novel variant of the contextual bandit problem (i.e., the multi-armed bandit with side-information, or context, available to a decision-maker) where the context used at each decision may be corrupted ("useless context"). This…

机器学习 · 计算机科学 2020-06-30 Djallel Bouneffouf

An extension of the traditional two-armed bandit problem is considered, in which the decision maker has access to some side information before deciding which arm to pull. At each time t, before making a selection, the decision maker is able…

信息论 · 计算机科学 2007-07-16 Chih-Chun Wang , Sanjeev R. Kulkarni , H. Vincent Poor

We consider a stochastic bandit problem with a possibly infinite number of arms. We write $p^*$ for the proportion of optimal arms and $\Delta$ for the minimal mean-gap between optimal and sub-optimal arms. We characterize the optimal…

机器学习 · 计算机科学 2021-11-08 Rianne de Heide , James Cheshire , Pierre Ménard , Alexandra Carpentier

The stochastic multi-armed bandit (MAB) problem is one of the most fundamental models in sequential decision-making, with the core challenge being the trade-off between exploration and exploitation. Although algorithms such as Upper…

机器学习 · 计算机科学 2025-10-13 Di Zhang

Motivated by the fact that humans like some level of unpredictability or novelty, and might therefore get quickly bored when interacting with a stationary policy, we introduce a novel non-stationary bandit problem, where the expected reward…

机器学习 · 计算机科学 2022-03-08 Pierre Laforgue , Giulia Clerici , Nicolò Cesa-Bianchi , Ran Gilad-Bachrach

Contextual bandits often provide simple and effective personalization in decision making problems, making them popular tools to deliver personalized interventions in mobile health as well as other health applications. However, when bandits…

机器学习 · 计算机科学 2021-07-28 Jiayu Yao , Emma Brunskill , Weiwei Pan , Susan Murphy , Finale Doshi-Velez

We consider a scenario where an agent has multiple available strategies to explore an unknown environment. For each new interaction with the environment, the agent must select which exploration strategy to use. We provide a new…

机器学习 · 计算机科学 2018-08-24 Fabien C. Y. Benureau , Pierre-Yves Oudeyer

We study the adversarial multi-armed bandit problem and create a completely online algorithmic framework that is invariant under arbitrary translations and scales of the arm losses. We study the expected performance of our algorithm against…

机器学习 · 计算机科学 2021-09-21 Kaan Gokcesu , Hakan Gokcesu

Contextual multi-armed bandits are classical models in reinforcement learning for sequential decision-making associated with individual information. A widely-used policy for bandits is Thompson Sampling, where samples from a data-driven…

机器学习 · 统计学 2021-11-30 Hongju Park , Mohamad Kazem Shirani Faradonbeh

We study "adversarial scaling", a multi-armed bandit model where rewards have a stochastic and an adversarial component. Our model captures display advertising where the "click-through-rate" can be decomposed to a (fixed across time)…

机器学习 · 计算机科学 2020-09-01 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

A sampling-based method is introduced to approximate the Gittins index for a general family of alternative bandit processes. The approximation consists of a truncation of the optimization horizon and support for the immediate rewards, an…

最优化与控制 · 数学 2023-07-24 Stef Baas , Richard J. Boucherie , Aleida Braaksma

We consider the stochastic multi-armed bandit problem and the contextual bandit problem with historical observations and pre-clustered arms. The historical observations can contain any number of instances for each arm, and the…

机器学习 · 计算机科学 2019-06-11 Djallel Bouneffouf , Srinivasan Parthasarathy , Horst Samulowitz , Martin Wistub

We consider a stochastic multi-armed bandit (MAB) problem with delayed impact of actions. In our setting, actions taken in the past impact the arm rewards in the subsequent future. This delayed impact of actions is prevalent in the real…

机器学习 · 计算机科学 2021-11-02 Wei Tang , Chien-Ju Ho , Yang Liu

We consider the bandit-based framework for diversity-preserving recommendations introduced by Celis et al. (2019), who approached it in the case of a polytope mainly by a reduction to the setting of linear bandits. We design a UCB algorithm…

机器学习 · 统计学 2024-07-25 Hédi Hadiji , Sébastien Gerchinovitz , Jean-Michel Loubes , Gilles Stoltz

Sequential learning in a multi-agent resource constrained matching market has received significant interest in the past few years. We study decentralized learning in two-sided matching markets where the demand side (aka players or agents)…

机器学习 · 计算机科学 2025-06-23 Satush Parikh , Soumya Basu , Avishek Ghosh , Abishek Sankararaman

We propose and study Collpasing Bandits, a new restless multi-armed bandit (RMAB) setting in which each arm follows a binary-state Markovian process with a special structure: when an arm is played, the state is fully observed, thus…

机器学习 · 计算机科学 2020-07-10 Aditya Mate , Jackson A. Killian , Haifeng Xu , Andrew Perrault , Milind Tambe

Motivated by cognitive radio networks, we consider the stochastic multiplayer multi-armed bandit problem, where several players pull arms simultaneously and collisions occur if one of them is pulled by several players at the same stage. We…

机器学习 · 计算机科学 2019-11-20 Etienne Boursier , Vianney Perchet

The Combinatorial Multi-Armed Bandit problem is a sequential decision-making problem in which an agent selects a set of arms on each round, observes feedback for each of these arms and aims to maximize a known reward function of the arms it…

机器学习 · 计算机科学 2020-07-17 Nadav Merlis , Shie Mannor

We study the stochastic Multi-Armed Bandit (MAB) problem with random delays in the feedback received by the algorithm. We consider two settings: the reward-dependent delay setting, where realized delays may depend on the stochastic rewards,…

机器学习 · 计算机科学 2021-06-07 Tal Lancewicki , Shahar Segal , Tomer Koren , Yishay Mansour

We study the best-arm identification problem in linear bandit, where the rewards of the arms depend linearly on an unknown parameter $\theta^*$ and the objective is to return the arm with the largest reward. We characterize the complexity…

机器学习 · 计算机科学 2014-11-05 Marta Soare , Alessandro Lazaric , Rémi Munos
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