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We study \emph{multi-armed bandits} (MABs) augmented with \emph{best-action queries}, in which the learner may additionally query an oracle that reveals the best arm in the current round. This setting was recently characterized by Russo et…

机器学习 · 计算机科学 2026-05-12 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Francesco Emanuele Stradi

In many platforms, user arrivals exhibit a self-reinforcing behavior: future user arrivals are likely to have preferences similar to users who were satisfied in the past. In other words, arrivals exhibit positive externalities. We study…

机器学习 · 计算机科学 2019-03-08 Virag Shah , Jose Blanchet , Ramesh Johari

Multi-armed bandit models have proven to be useful in modeling many real world problems in the areas of control and sequential decision making with partial information. However, in many scenarios, such as those prevalent in healthcare and…

最优化与控制 · 数学 2024-08-27 Qinyang He , Yonatan Mintz

A challenging aspect of the bandit problem is that a stochastic reward is observed only for the chosen arm and the rewards of other arms remain missing. The dependence of the arm choice on the past context and reward pairs compounds the…

机器学习 · 统计学 2023-05-02 Wonyoung Kim , Gi-soo Kim , Myunghee Cho Paik

We consider the Multi-Armed Bandit (MAB) problem, where an agent sequentially chooses actions and observes rewards for the actions it took. While the majority of algorithms try to minimize the regret, i.e., the cumulative difference between…

机器学习 · 计算机科学 2021-09-14 Nadav Merlis , Shie Mannor

Contextual multi-armed bandits (CMAB) have been widely used for learning to filter and prioritize information according to a user's interest. In this work, we analyze top-K ranking under the CMAB framework where the top-K arms are chosen…

机器学习 · 计算机科学 2022-01-31 Michael Rawson , Jade Freeman

We consider a novel stochastic multi-armed bandit setting, where playing an arm makes it unavailable for a fixed number of time slots thereafter. This models situations where reusing an arm too often is undesirable (e.g. making the same…

机器学习 · 计算机科学 2024-07-31 Soumya Basu , Rajat Sen , Sujay Sanghavi , Sanjay Shakkottai

In this paper we propose a general methodology to derive regret bounds for randomized multi-armed bandit algorithms. It consists in checking a set of sufficient conditions on the sampling probability of each arm and on the family of…

机器学习 · 计算机科学 2024-11-14 Dorian Baudry , Kazuya Suzuki , Junya Honda

Due to the broad range of applications of stochastic multi-armed bandit model, understanding the effects of adversarial attacks and designing bandit algorithms robust to attacks are essential for the safe applications of this model. In this…

机器学习 · 计算机科学 2020-10-28 Guanlin Liu , Lifeng lai

We propose a novel variant of the UCB algorithm (referred to as Efficient-UCB-Variance (EUCBV)) for minimizing cumulative regret in the stochastic multi-armed bandit (MAB) setting. EUCBV incorporates the arm elimination strategy proposed in…

机器学习 · 计算机科学 2018-07-12 Subhojyoti Mukherjee , K. P. Naveen , Nandan Sudarsanam , Balaraman Ravindran

In a multi-armed bandit problem, an online algorithm chooses from a set of strategies in a sequence of trials so as to maximize the total payoff of the chosen strategies. While the performance of bandit algorithms with a small finite…

数据结构与算法 · 计算机科学 2019-04-16 Robert Kleinberg , Aleksandrs Slivkins , Eli Upfal

Best-of-both-worlds algorithms for online learning which achieve near-optimal regret in both the adversarial and the stochastic regimes have received growing attention recently. Existing techniques often require careful adaptation to every…

机器学习 · 计算机科学 2023-02-21 Christoph Dann , Chen-Yu Wei , Julian Zimmert

Most of the existing federated multi-armed bandits (FMAB) designs are based on the presumption that clients will implement the specified design to collaborate with the server. In reality, however, it may not be possible to modify the…

机器学习 · 统计学 2023-11-21 Chengshuai Shi , Wei Xiong , Cong Shen , Jing Yang

The paper proposes a novel upper confidence bound (UCB) procedure for identifying the arm with the largest mean in a multi-armed bandit game in the fixed confidence setting using a small number of total samples. The procedure cannot be…

机器学习 · 统计学 2013-12-30 Kevin Jamieson , Matthew Malloy , Robert Nowak , Sébastien Bubeck

In many application domains (e.g., recommender systems, intelligent tutoring systems), the rewards associated to the actions tend to decrease over time. This decay is either caused by the actions executed in the past (e.g., a user may get…

机器学习 · 统计学 2026-04-24 Julien Seznec , Pierre Ménard , Alessandro Lazaric , Michal Valko

Non-stationary parametric bandits have attracted much attention recently. There are three principled ways to deal with non-stationarity, including sliding-window, weighted, and restart strategies. As many non-stationary environments exhibit…

机器学习 · 计算机科学 2026-01-06 Jing Wang , Peng Zhao , Zhi-Hua Zhou

We improve the efficiency of algorithms for stochastic \emph{combinatorial semi-bandits}. In most interesting problems, state-of-the-art algorithms take advantage of structural properties of rewards, such as \emph{independence}. However,…

机器学习 · 统计学 2019-06-24 Pierre Perrault , Vianney Perchet , Michal Valko

We consider stochastic bandit problems with a continuous set of arms and where the expected reward is a continuous and unimodal function of the arm. No further assumption is made regarding the smoothness and the structure of the expected…

机器学习 · 计算机科学 2015-03-09 Richard Combes , Alexandre Proutiere

An automatic machine learning (AutoML) task is to select the best algorithm and its hyper-parameters simultaneously. Previously, the hyper-parameters of all algorithms are joint as a single search space, which is not only huge but also…

机器学习 · 计算机科学 2019-06-03 Yi-Qi Hu , Yang Yu , Jun-Da Liao

We study the stochastic multi-armed bandit (MAB) problem where an underlying network structure enables side-observations across related actions. We use a bipartite graph to link actions to a set of unknowns, such that selecting an action…

机器学习 · 计算机科学 2026-03-30 Ashutosh Soni , Peizhong Ju , Atilla Eryilmaz , Ness B. Shroff
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