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Related papers: Does Feedback Help in Bandits with Arm Erasures?

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We propose and study the known-compensation multi-arm bandit (KCMAB) problem, where a system controller offers a set of arms to many short-term players for $T$ steps. In each step, one short-term player arrives to the system. Upon arrival,…

Machine Learning · Computer Science 2018-11-06 Siwei Wang , Longbo Huang

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

Statistics Theory · Mathematics 2008-12-18 Aurélien Garivier , Eric Moulines

We provide new lower bounds on the regret that must be suffered by adversarial bandit algorithms. The new results show that recent upper bounds that either (a) hold with high-probability or (b) depend on the total lossof the best arm or (c)…

Statistics Theory · Mathematics 2017-02-28 Sébastien Gerchinovitz , Tor Lattimore

In combinatorial semi-bandits, a learner repeatedly selects from a combinatorial decision set of arms, receives the realized sum of rewards, and observes the rewards of the individual selected arms as feedback. In this paper, we extend this…

Machine Learning · Computer Science 2025-09-17 Yuxiao Wen

We study agents communicating over an underlying network by exchanging messages, in order to optimize their individual regret in a common nonstochastic multi-armed bandit problem. We derive regret minimization algorithms that guarantee for…

Machine Learning · Computer Science 2019-11-19 Yogev Bar-On , Yishay Mansour

This paper presents a comprehensive study on the problem of Best Arm Retention (BAR), which has recently found applications in streaming algorithms for multi-armed bandits. In the BAR problem, the goal is to retain $m$ arms with the best…

Machine Learning · Computer Science 2025-04-17 Houshuang Chen , Yuchen He , Chihao Zhang

We study the Improving Multi-Armed Bandit (IMAB) problem, where the reward obtained from an arm increases with the number of pulls it receives. This model provides an elegant abstraction for many real-world problems in domains such as…

Machine Learning · Computer Science 2022-08-22 Vishakha Patil , Vineet Nair , Ganesh Ghalme , Arindam Khan

We study an interesting variant of the stochastic multi-armed bandit problem, called the Fair-SMAB problem, where each arm is required to be pulled for at least a given fraction of the total available rounds. We investigate the interplay…

Machine Learning · Computer Science 2020-02-06 Vishakha Patil , Ganesh Ghalme , Vineet Nair , Y. Narahari

The multi-armed bandit is a concise model for the problem of iterated decision-making under uncertainty. In each round, a gambler must pull one of $K$ arms of a slot machine, without any foreknowledge of their payouts, except that they are…

Data Structures and Algorithms · Computer Science 2007-05-23 Varsha Dani , Thomas P. Hayes

We investigate the regret-minimisation problem in a multi-armed bandit setting with arbitrary corruptions. Similar to the classical setup, the agent receives rewards generated independently from the distribution of the arm chosen at each…

Machine Learning · Statistics 2023-09-29 Shubhada Agrawal , Timothée Mathieu , Debabrota Basu , Odalric-Ambrym Maillard

In multi-armed bandit problems, the typical goal is to identify the arm with the highest reward. This paper explores a threshold-based bandit problem, aiming to select an arm based on its relation to a prescribed threshold \(\tau \). We…

Machine Learning · Computer Science 2025-09-03 Chanakya Varude , Jay Chaudhary , Siddharth Kaushik , Prasanna Chaporkar

Continuously learning and leveraging the knowledge accumulated from prior tasks in order to improve future performance is a long standing machine learning problem. In this paper, we study the problem in the multi-armed bandit framework with…

Machine Learning · Computer Science 2020-12-29 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

This paper studies multi-stage systems with end-to-end bandit feedback. In such systems, each job needs to go through multiple stages, each managed by a different agent, before generating an outcome. Each agent can only control its own…

Machine Learning · Computer Science 2024-08-20 I-Hong Hou

Consider N cooperative but non-communicating players where each plays one out of M arms for T turns. Players have different utilities for each arm, representable as an NxM matrix. These utilities are unknown to the players. In each turn…

Computer Science and Game Theory · Computer Science 2020-08-24 Ilai Bistritz , Tavor Z. Baharav , Amir Leshem , Nicholas Bambos

We study the stochastic combinatorial semi-bandit problem with unrestricted feedback delays under merit-based fairness constraints. This is motivated by applications such as crowdsourcing, and online advertising, where immediate feedback is…

Machine Learning · Computer Science 2024-07-30 Ziqun Chen , Kechao Cai , Zhuoyue Chen , Jinbei Zhang , John C. S. Lui

In this paper, we introduce Ballooning Multi-Armed Bandits (BL-MAB), a novel extension of the classical stochastic MAB model. In the BL-MAB model, the set of available arms grows (or balloons) over time. In contrast to the classical MAB…

Machine Learning · Computer Science 2021-02-23 Ganesh Ghalme , Swapnil Dhamal , Shweta Jain , Sujit Gujar , Y. Narahari

We consider a variant of the multi-armed bandit model, which we call multi-armed bandit problem with known trend, where the gambler knows the shape of the reward function of each arm but not its distribution. This new problem is motivated…

Machine Learning · Computer Science 2017-05-15 Djallel Bouneffouf , Raphaël Feraud

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several sources (arms) of items (rewards), and interested in finding the best item overall. At each time step the agent chooses an arm, and obtains a random…

Machine Learning · Statistics 2015-08-25 Yahel David , Nahum Shimkin

We consider a sequential stochastic multi-armed bandit problem where the agent interacts with bandit over multiple episodes. The reward distribution of the arms remain constant throughout an episode but can change over different episodes.…

Machine Learning · Computer Science 2024-03-20 Rahul N R , Vaibhav Katewa

We explore a novel setting of the Multi-Armed Bandit (MAB) problem inspired from real world applications which we call bandits with "stochastic delayed composite anonymous feedback (SDCAF)". In SDCAF, the rewards on pulling arms are…

Machine Learning · Computer Science 2019-10-14 Siddhant Garg , Aditya Kumar Akash