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This paper proposes near-optimal algorithms for the pure-exploration linear bandit problem in the fixed confidence and fixed budget settings. Leveraging ideas from the theory of suprema of empirical processes, we provide an algorithm whose…

机器学习 · 计算机科学 2020-06-23 Julian Katz-Samuels , Lalit Jain , Zohar Karnin , Kevin Jamieson

Bandit-style algorithms have been studied extensively in stochastic and adversarial settings. Such algorithms have been shown to be useful in multiplayer settings, e.g. to solve the wireless network selection problem, which can be…

网络与互联网体系结构 · 计算机科学 2019-04-30 Shunhao Oh , Anuja Meetoo Appavoo , Seth Gilbert

We propose combinatorial cascading bandits, a class of partial monitoring problems where at each step a learning agent chooses a tuple of ground items subject to constraints and receives a reward if and only if the weights of all chosen…

机器学习 · 计算机科学 2015-11-18 Branislav Kveton , Zheng Wen , Azin Ashkan , Csaba Szepesvari

Many sequential decision-making problems in communication networks can be modeled as contextual bandit problems, which are natural extensions of the well-known multi-armed bandit problem. In contextual bandit problems, at each time, an…

机器学习 · 计算机科学 2016-05-10 Pranav Sakulkar , Bhaskar Krishnamachari

We study budget-constrained contextual bandits with adversarial contexts, where each action yields a random reward and incurs a random cost. We adopt the standard realizability assumption: conditioned on the observed context, rewards and…

机器学习 · 计算机科学 2026-05-08 Dhruv Sarkar , Abhishek Sinha

The multi-armed bandit (MAB) problem is a classic example of the exploration-exploitation dilemma. It is concerned with maximising the total rewards for a gambler by sequentially pulling an arm from a multi-armed slot machine where each arm…

机器学习 · 统计学 2018-05-16 Xue Lu , Niall Adams , Nikolas Kantas

In this work, we study sequential choice bandits with feedback. We propose bandit algorithms for a platform that personalizes users' experience to maximize its rewards. For each action directed to a given user, the platform is given a…

机器学习 · 统计学 2021-01-06 Anshuka Rangi , Massimo Franceschetti , Long Tran-Thanh

Consider a nonparametric contextual multi-arm bandit problem where each arm $a \in [K]$ is associated to a nonparametric reward function $f_a: [0,1] \to \mathbb{R}$ mapping from contexts to the expected reward. Suppose that there is a large…

机器学习 · 计算机科学 2019-08-06 Nirandika Wanigasekara , Christina Lee Yu

Classic no-regret multi-armed bandit algorithms, including the Upper Confidence Bound (UCB), Hedge, and EXP3, are inherently unfair by design. Their unfairness stems from their objective of playing the most rewarding arm as frequently as…

机器学习 · 计算机科学 2024-05-14 Abhishek Sinha

Standard bandit algorithms that assume continual reallocation of measurement effort are challenging to implement due to delayed feedback and infrastructural/organizational difficulties. Motivated by practical instances involving a handful…

机器学习 · 计算机科学 2023-08-16 Ethan Che , Hongseok Namkoong

Collaborative bandit learning, i.e., bandit algorithms that utilize collaborative filtering techniques to improve sample efficiency in online interactive recommendation, has attracted much research attention as it enjoys the best of both…

机器学习 · 计算机科学 2021-04-16 Chuanhao Li , Qingyun Wu , Hongning Wang

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,…

机器学习 · 计算机科学 2025-04-17 Arun Verma , Zhongxiang Dai , Xiaoqiang Lin , Patrick Jaillet , Bryan Kian Hsiang Low

Increasingly, recommender systems are tasked with improving users' long-term satisfaction. In this context, we study a content exploration task, which we formalize as a bandit problem with delayed rewards. There is an apparent trade-off in…

机器学习 · 计算机科学 2025-01-15 Kelly W. Zhang , Thomas Baldwin-McDonald , Kamil Ciosek , Lucas Maystre , Daniel Russo

We propose a new sequential decision-making setting, combining key aspects of two established online learning problems with bandit feedback. The optimal action to play at any given moment is contingent on an underlying changing state which…

机器学习 · 计算机科学 2023-11-07 Alexander Galozy , Slawomir Nowaczyk , Mattias Ohlsson

In the fixed budget thresholding bandit problem, an algorithm sequentially allocates a budgeted number of samples to different distributions. It then predicts whether the mean of each distribution is larger or lower than a given threshold.…

机器学习 · 计算机科学 2021-10-19 Reda Ouhamma , Rémy Degenne , Pierre Gaillard , Vianney Perchet

We study the non-stationary stochastic multi-armed bandit problem, where the reward statistics of each arm may change several times during the course of learning. The performance of a learning algorithm is evaluated in terms of their…

机器学习 · 计算机科学 2022-03-09 Yasin Abbasi-Yadkori , Andras Gyorgy , Nevena Lazic

We study a stochastic bandit problem with a general unknown reward function and a general unknown constraint function. Both functions can be non-linear (even non-convex) and are assumed to lie in a reproducing kernel Hilbert space (RKHS)…

机器学习 · 计算机科学 2022-03-30 Xingyu Zhou , Bo Ji

In fixed budget bandit identification, an algorithm sequentially observes samples from several distributions up to a given final time. It then answers a query about the set of distributions. A good algorithm will have a small probability of…

机器学习 · 统计学 2023-07-03 Rémy Degenne

Contextual bandits serve as a fundamental model for many sequential decision making tasks. The most popular theoretically justified approaches are based on the optimism principle. While these algorithms can be practical, they are known to…

机器学习 · 计算机科学 2020-03-17 Botao Hao , Tor Lattimore , Csaba Szepesvari

The celebrated multi-armed bandit problem in decision theory models the basic trade-off between exploration, or learning about the state of a system, and exploitation, or utilizing the system. In this paper we study the variant of the…

数据结构与算法 · 计算机科学 2013-06-19 Sudipto Guha , Kamesh Munagala