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Related papers: Design-Based Inference for Multi-arm Bandits

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Multi-armed bandits are a quintessential machine learning problem requiring the balancing of exploration and exploitation. While there has been progress in developing algorithms with strong theoretical guarantees, there has been less focus…

Machine Learning · Computer Science 2017-05-18 Bence Cserna , Marek Petrik , Reazul Hasan Russel , Wheeler Ruml

The best arm identification problem in the multi-armed bandit setting is an excellent model of many real-world decision-making problems, yet it fails to capture the fact that in the real-world, safety constraints often must be met while…

Machine Learning · Computer Science 2021-11-25 Zhenlin Wang , Andrew Wagenmaker , Kevin Jamieson

Classical multi-armed bandit problems use the expected value of an arm as a metric to evaluate its goodness. However, the expected value is a risk-neutral metric. In many applications like finance, one is interested in balancing the…

Machine Learning · Computer Science 2019-06-04 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

We define a general framework for a large class of combinatorial multi-armed bandit (CMAB) problems, where subsets of base arms with unknown distributions form super arms. In each round, a super arm is played and the base arms contained in…

Machine Learning · Computer Science 2016-03-30 Wei Chen , Yajun Wang , Yang Yuan , Qinshi Wang

For a wireless avionics communication system, a Multi-arm bandit game is mathematically formulated, which includes channel states, strategies, and rewards. The simple case includes only two agents sharing the spectrum which is fully studied…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Jingyang Lu , Lun Li , Dan Shen , Genshe Chen , Bin Jia , Erik Blasch , Khanh Pham

Adaptively collected data has become ubiquitous within modern practice. However, even seemingly benign adaptive sampling schemes can introduce severe biases, rendering traditional statistical inference tools inapplicable. This can be…

Statistics Theory · Mathematics 2025-12-02 Wei Fan , Kevin Tan , Yuting Wei

The combinatorial multi-armed bandit model is designed to maximize cumulative rewards in the presence of uncertainty by activating a subset of arms in each round. This paper is inspired by two critical applications in wireless networks,…

Machine Learning · Computer Science 2025-09-17 Xiaoyi Wu , Bin Li

Contextual dueling bandit is used to model the bandit problems, where a learner's goal is to find the best arm for a given context using observed noisy human preference feedback over the selected arms for the past contexts. However,…

Machine Learning · Computer Science 2025-04-17 Arun Verma , Zhongxiang Dai , Xiaoqiang Lin , Patrick Jaillet , Bryan Kian Hsiang Low

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…

Machine Learning · Computer Science 2020-07-17 Nadav Merlis , Shie Mannor

Delayed outcomes are ubiquitous in online experimentation. When such a temporal dimension is present, treatment influences not only the outcome value but also the outcome timing, which can move in opposite directions. Motivated by the…

Methodology · Statistics 2026-03-30 Michael Lindon , Nathan Kallus

We propose a novel algorithm for multi-player multi-armed bandits without collision sensing information. Our algorithm circumvents two problems shared by all state-of-the-art algorithms: it does not need as an input a lower bound on the…

Machine Learning · Statistics 2022-06-07 Wei Huang , Richard Combes , Cindy Trinh

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 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

Large language models (LLMs) have been adopted to solve sequential decision-making tasks such as multi-armed bandits (MAB), in which an LLM is directly instructed to select the arms to pull in every iteration. However, this paradigm of…

Machine Learning · Computer Science 2025-02-04 Jiahang Sun , Zhiyong Wang , Runhan Yang , Chenjun Xiao , John C. S. Lui , Zhongxiang Dai

When an AI system interacts with multiple users, it frequently needs to make allocation decisions. For instance, a virtual agent decides whom to pay attention to in a group setting, or a factory robot selects a worker to deliver a part.…

Machine Learning · Computer Science 2019-12-18 Yifang Chen , Alex Cuellar , Haipeng Luo , Jignesh Modi , Heramb Nemlekar , Stefanos Nikolaidis

In this paper, we provide the first investigation into adaptive combinatorial experimental design, focusing on the trade-off between regret minimization and statistical power in combinatorial multi-armed bandits (CMAB). While minimizing…

Machine Learning · Computer Science 2026-03-02 Hongrui Xie , Junyu Cao , Kan Xu

We study the experimentation dynamics of a decision maker (DM) in a two-armed bandit setup (Bolton and Harris (1999)), where the agent holds ambiguous beliefs regarding the distribution of the return process of one arm and is certain about…

Theoretical Economics · Economics 2021-04-02 Farzad Pourbabaee

We propose confidence sequences -- sequences of confidence intervals which are valid uniformly over time -- for quantiles of any distribution over a complete, fully-ordered set, based on a stream of i.i.d. observations. We give methods both…

Statistics Theory · Mathematics 2022-07-08 Steven R. Howard , Aaditya Ramdas

The stochastic multi-armed bandit (MAB) problem is a common model for sequential decision problems. In the standard setup, a decision maker has to choose at every instant between several competing arms, each of them provides a scalar random…

Machine Learning · Statistics 2021-10-27 Asaf Cassel , Shie Mannor , Assaf Zeevi

The primary goal of my Ph.D. study is to develop provably efficient and practical algorithms for data-driven sequential decision-making under uncertainty. My work focuses on reinforcement learning (RL), multi-armed bandits, and their…

Machine Learning · Computer Science 2025-05-16 Zhiyong Wang