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We consider stochastic multi-armed bandits where the expected reward is a unimodal function over partially ordered arms. This important class of problems has been recently investigated in (Cope 2009, Yu 2011). The set of arms is either…

机器学习 · 计算机科学 2014-05-21 Richard Combes , Alexandre Proutiere

The objective of canonical multi-armed bandits is to identify and repeatedly select an arm with the largest reward, often in the form of the expected value of the arm's probability distribution. Such a utilitarian perspective and focus on…

机器学习 · 统计学 2025-05-01 Meltem Tatlı , Arpan Mukherjee , Prashanth L. A. , Karthikeyan Shanmugam , Ali Tajer

We provide the first useful and rigorous analysis of ensemble sampling for the stochastic linear bandit setting. In particular, we show that, under standard assumptions, for a $d$-dimensional stochastic linear bandit with an interaction…

机器学习 · 统计学 2025-01-16 David Janz , Alexander E. Litvak , Csaba Szepesvári

In a fixed-confidence pure exploration problem in stochastic multi-armed bandits, an algorithm iteratively samples arms and should stop as early as possible and return the correct answer to a query about the arms distributions. We are…

机器学习 · 计算机科学 2025-02-04 Adrienne Tuynman , Rémy Degenne

Recent works have shown that agents facing independent instances of a stochastic $K$-armed bandit can collaborate to decrease regret. However, these works assume that each agent always recommends their individual best-arm estimates to other…

机器学习 · 计算机科学 2022-03-02 Daniel Vial , Sanjay Shakkottai , R. Srikant

We investigate a natural but surprisingly unstudied approach to the multi-armed bandit problem under safety risk constraints. Each arm is associated with an unknown law on safety risks and rewards, and the learner's goal is to maximise…

机器学习 · 计算机科学 2022-04-05 Tianrui Chen , Aditya Gangrade , Venkatesh Saligrama

We consider the query recommendation problem in closed loop interactive learning settings like online information gathering and exploratory analytics. The problem can be naturally modelled using the Multi-Armed Bandits (MAB) framework with…

The problem of multi-armed bandits (MAB) asks to make sequential decisions while balancing between exploitation and exploration, and have been successfully applied to a wide range of practical scenarios. Various algorithms have been…

机器学习 · 计算机科学 2022-02-24 Xiaojin Zhang , Shuai Li , Weiwen Liu , Shengyu Zhang

Psychological research shows that enjoyment of many goods is subject to satiation, with short-term satisfaction declining after repeated exposures to the same item. Nevertheless, proposed algorithms for powering recommender systems seldom…

机器学习 · 计算机科学 2021-10-28 Liu Leqi , Fatma Kilinc-Karzan , Zachary C. Lipton , Alan L. Montgomery

Recent studies have shown that reinforcement learning with KL-regularized objectives can enjoy faster rates of convergence or logarithmic regret, in contrast to the classical $\sqrt{T}$-type regret in the unregularized setting. However, the…

机器学习 · 计算机科学 2026-03-03 Kaixuan Ji , Qingyue Zhao , Heyang Zhao , Qiwei Di , Quanquan Gu

A stochastic combinatorial semi-bandit is an online learning problem where at each step a learning agent chooses a subset of ground items subject to constraints, and then observes stochastic weights of these items and receives their sum as…

机器学习 · 计算机科学 2017-06-08 Branislav Kveton , Zheng Wen , Azin Ashkan , Csaba Szepesvari

This paper addresses the critical challenge of stochastic latent heterogeneity in online decision-making, where individuals' responses to actions vary not only with observable contexts but also with unobserved, randomly realized subgroups.…

机器学习 · 计算机科学 2025-11-17 Elynn Chen , Xi Chen , Wenbo Jing , Xiao Liu

Algorithms for hyperparameter optimization abound, all of which work well under different and often unverifiable assumptions. Motivated by the general challenge of sequentially choosing which algorithm to use, we study the more specific…

机器学习 · 统计学 2016-04-12 Robert Nishihara , David Lopez-Paz , Léon Bottou

This paper addresses the problem of designing efficient no-swap regret algorithms for combinatorial bandits, where the number of actions $N$ is exponentially large in the dimensionality of the problem. In this setting, designing efficient…

机器学习 · 计算机科学 2026-02-03 Andreas Kontogiannis , Vasilis Pollatos , Panayotis Mertikopoulos , Ioannis Panageas

We consider a multi-armed bandit problem motivated by situations where only the extreme values, as opposed to expected values in the classical bandit setting, are of interest. We propose distribution free algorithms using robust statistics…

机器学习 · 统计学 2021-09-10 Sujay Bhatt , Ping Li , Gennady Samorodnitsky

We study a regret minimization problem with the existence of multiple best/near-optimal arms in the multi-armed bandit setting. We consider the case when the number of arms/actions is comparable or much larger than the time horizon, and…

机器学习 · 统计学 2020-10-23 Yinglun Zhu , Robert Nowak

The stochastic multi-armed bandit setting has been recently studied in the non-stationary regime, where the mean payoff of each action is a non-decreasing function of the number of rounds passed since it was last played. This model captures…

机器学习 · 计算机科学 2022-10-13 Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

We consider the thresholding bandit problem, whose goal is to find arms of mean rewards above a given threshold $\theta$, with a fixed budget of $T$ trials. We introduce LSA, a new, simple and anytime algorithm that aims to minimize the…

机器学习 · 计算机科学 2019-05-28 Chao Tao , Saùl Blanco , Jian Peng , Yuan Zhou

In this paper, we study the collaborative learning model, which concerns the tradeoff between parallelism and communication overhead in multi-agent multi-armed bandits. For regret minimization in multi-armed bandits, we present the first…

机器学习 · 计算机科学 2023-12-22 Nikolai Karpov , Qin 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