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Related papers: Safe Linear Stochastic Bandits

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We study a grouped bandit setting where each arm comprises multiple independent sub-arms referred to as attributes. Each attribute of each arm has an independent stochastic reward. We impose the constraint that for an arm to be deemed…

Machine Learning · Computer Science 2024-12-12 Sahil Dharod , Malyala Preethi Sravani , Sakshi Heda , Sharayu Moharir

We consider a variant of the classic multi-armed bandit problem where the expected reward of each arm is a function of an unknown parameter. The arms are divided into different groups, each of which has a common parameter. Therefore, when…

Machine Learning · Computer Science 2018-02-23 Zhiyang Wang , Ruida Zhou , Cong Shen

This paper proposes a variant of multiple-play stochastic bandits tailored to resource allocation problems arising from LLM applications, edge intelligence, etc. The model is composed of $M$ arms and $K$ plays. Each arm has a stochastic…

Artificial Intelligence · Computer Science 2025-12-29 Hong Xie , Haoran Gu , Yanying Huang , Tao Tan , Defu Lian

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…

Optimization and Control · Mathematics 2010-11-23 Yi Gai , Bhaskar Krishnamachari , Rahul Jain

We introduce a bandit framework for stochastic matching under the multinomial logit (MNL) choice model. In our setting, $N$ agents on one side are assigned to $K$ arms on the other side, where each arm stochastically selects an agent from…

Machine Learning · Statistics 2026-01-30 Jung-hun Kim , Min-hwan Oh

A recent body of work addresses safety constraints in explore-and-exploit systems. Such constraints arise where, for example, exploration is carried out by individuals whose welfare should be balanced with overall welfare. In this paper, we…

Computer Science and Game Theory · Computer Science 2020-06-09 Gal Bahar , Omer Ben-Porat , Kevin Leyton-Brown , Moshe Tennenholtz

Motivated by problems of learning to rank long item sequences, we introduce a variant of the cascading bandit model that considers flexible length sequences with varying rewards and losses. We formulate two generative models for this…

Machine Learning · Computer Science 2022-09-05 Anirban Santara , Claudio Gentile , Gaurav Aggarwal , Shuai Li

The multi-armed bandit problem is a core framework for sequential decision-making under uncertainty, but classical algorithms often fail in environments with hidden, time-varying states that confound reward estimation and optimal action…

Machine Learning · Computer Science 2026-02-19 Jikai Jin , Kenneth Hung , Sanath Kumar Krishnamurthy , Baoyi Shi , Congshan Zhang

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

We consider the stochastic linear (multi-armed) contextual bandit problem with the possibility of hidden simple multi-armed bandit structure in which the rewards are independent of the contextual information. Algorithms that are designed…

Machine Learning · Statistics 2020-10-07 Niladri S. Chatterji , Vidya Muthukumar , Peter L. Bartlett

Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such…

Machine Learning · Computer Science 2014-10-30 Onur Atan , Cem Tekin , Mihaela van der Schaar

Multi-arm bandit (MAB) and stochastic linear bandit (SLB) are important models in reinforcement learning, and it is well-known that classical algorithms for bandits with time horizon $T$ suffer $\Omega(\sqrt{T})$ regret. In this paper, we…

Machine Learning · Computer Science 2022-05-31 Zongqi Wan , Zhijie Zhang , Tongyang Li , Jialin Zhang , Xiaoming Sun

We study a strategic version of the multi-armed bandit problem, where each arm is an individual strategic agent and we, the principal, pull one arm each round. When pulled, the arm receives some private reward $v_a$ and can choose an amount…

Computer Science and Game Theory · Computer Science 2017-07-03 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg

We introduce a new stochastic multi-armed bandit setting where arms are grouped inside ``ordered'' categories. The motivating example comes from e-commerce, where a customer typically has a greater appetence for items of a specific…

Machine Learning · Computer Science 2020-05-05 Matthieu Jedor , Jonathan Louedec , Vianney Perchet

Recently multi-armed bandit problem arises in many real-life scenarios where arms must be sampled in batches, due to limited time the agent can wait for the feedback. Such applications include biological experimentation and online…

Machine Learning · Statistics 2023-12-22 Shengyu Cao , Simai He , Ruoqing Jiang , Jin Xu , Hongsong Yuan

The problem of online learning with graph feedback has been extensively studied in the literature due to its generality and potential to model various learning tasks. Existing works mainly study the adversarial and stochastic feedback…

Machine Learning · Computer Science 2022-08-23 Fang Kong , Yichi Zhou , Shuai Li

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

This paper introduces a general framework for risk-sensitive bandits that integrates the notions of risk-sensitive objectives by adopting a rich class of distortion riskmetrics. The introduced framework subsumes the various existing…

Machine Learning · Statistics 2025-03-13 Meltem Tatlı , Arpan Mukherjee , Prashanth L. A. , Karthikeyan Shanmugam , Ali Tajer

We study the multi-armed bandit problem with arms which are Markov chains with rewards. In the finite-horizon setting, the celebrated Gittins indices do not apply, and the exact solution is intractable. We provide approximation algorithms…

Data Structures and Algorithms · Computer Science 2016-09-14 Will Ma

Stochastic linear bandits are a natural and simple generalisation of finite-armed bandits with numerous practical applications. Current approaches focus on generalising existing techniques for finite-armed bandits, notably the optimism…

Machine Learning · Statistics 2016-10-17 Tor Lattimore , Csaba Szepesvari