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We propose a new strategy for best-arm identification with fixed confidence of Gaussian variables with bounded means and unit variance. This strategy, called Exploration-Biased Sampling, is not only asymptotically optimal: it is to the best…

统计理论 · 数学 2022-03-08 Antoine Barrier , Aurélien Garivier , Tomáš Kocák

The problem of two-sided matching markets is well-studied in computer science and economics, owing to its diverse applications across numerous domains. Since market participants are usually uncertain about their preferences in various…

机器学习 · 计算机科学 2025-12-09 Zilong Wang , Shuai Li

We study stochastic structured bandits for minimizing regret. The fact that the popular optimistic algorithms do not achieve the asymptotic instance-dependent regret optimality (asymptotic optimality for short) has recently alluded…

机器学习 · 计算机科学 2020-10-26 Kwang-Sung Jun , Chicheng Zhang

Multi-player multi-armed bandit is an increasingly relevant decision-making problem, motivated by applications to cognitive radio systems. Most research for this problem focuses exclusively on the settings that players have \textit{full…

机器学习 · 计算机科学 2022-12-14 Guojun Xiong , Jian Li

Multi-armed bandit problems are the most basic examples of sequential decision problems with an exploration-exploitation trade-off. This is the balance between staying with the option that gave highest payoffs in the past and exploring new…

机器学习 · 计算机科学 2012-11-06 Sébastien Bubeck , Nicolò Cesa-Bianchi

This paper studies bandit convex optimization in non-stationary environments with two-point feedback, using dynamic regret as the performance measure. We propose an algorithm based on bandit mirror descent that extends naturally to…

最优化与控制 · 数学 2026-05-26 Chang He , Bo Jiang , Shuzhong Zhang

In this paper we propose a novel experimental design-based algorithm to minimize regret in online stochastic linear and combinatorial bandits. While existing literature tends to focus on optimism-based algorithms--which have been shown to…

机器学习 · 计算机科学 2021-03-02 Andrew Wagenmaker , Julian Katz-Samuels , Kevin Jamieson

In this paper, we contribute to the Extreme Bandit problem, a variant of Multi-Armed Bandits in which the learner seeks to collect the largest possible reward. We first study the concentration of the maximum of i.i.d random variables under…

机器学习 · 计算机科学 2022-03-22 Dorian Baudry , Yoan Russac , Emilie Kaufmann

We consider the adversarial multi-armed bandit problem under delayed feedback. We analyze variants of the Exp3 algorithm that tune their step-size using only information (about the losses and delays) available at the time of the decisions,…

机器学习 · 计算机科学 2020-10-14 András György , Pooria Joulani

We study the online restless bandit problem, where the state of each arm evolves according to a Markov chain, and the reward of pulling an arm depends on both the pulled arm and the current state of the corresponding Markov chain. In this…

机器学习 · 计算机科学 2020-11-09 Siwei Wang , Longbo Huang , John C. S. Lui

The problem of two-sided matching markets has a wide range of real-world applications and has been extensively studied in the literature. A line of recent works have focused on the problem setting where the preferences of one-side market…

机器学习 · 计算机科学 2022-05-03 Fang Kong , Junming Yin , Shuai Li

The Centralized Training with Decentralized Execution (CTDE) paradigm is widely used in cooperative multi-agent reinforcement learning. However, conventional methods based on CTDE can suffer from value underestimation and converge to…

多智能体系统 · 计算机科学 2026-05-05 Ruoning Zhang , Siying Wang , Wenyu Chen , Yang Zhou , Zhitong Zhao , Zixuan Zhang , Ruijie Zhang , Stefano V. Albrecht

I present the first algorithm for stochastic finite-armed bandits that simultaneously enjoys order-optimal problem-dependent regret and worst-case regret. Besides the theoretical results, the new algorithm is simple, efficient and…

机器学习 · 计算机科学 2016-02-25 Tor Lattimore

Past research on interactive decision making problems (bandits, reinforcement learning, etc.) mostly focuses on the minimax regret that measures the algorithm's performance on the hardest instance. However, an ideal algorithm should adapt…

机器学习 · 计算机科学 2023-06-13 Kefan Dong , Tengyu Ma

We study the challenging exploration incentive problem in both bandit and reinforcement learning, where the rewards are scale-free and potentially unbounded, driven by real-world scenarios and differing from existing work. Past works in…

机器学习 · 计算机科学 2024-05-07 Mengfan Xu , Diego Klabjan

We study the asymptotic performance of the Thompson sampling algorithm in the batched multi-armed bandit setting where the time horizon $T$ is divided into batches, and the agent is not able to observe the rewards of her actions until the…

机器学习 · 计算机科学 2021-10-04 Cem Kalkanli , Ayfer Ozgur

We study online learning in constrained Markov decision processes (CMDPs) in which rewards and constraints may be either stochastic or adversarial. In such settings, Stradi et al.(2024) proposed the first best-of-both-worlds algorithm able…

机器学习 · 计算机科学 2025-02-10 Francesco Emanuele Stradi , Anna Lunghi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

This paper studies multi-stage systems with end-to-end bandit feedback. In such systems, each job needs to go through multiple stages, each managed by a different agent, before generating an outcome. Each agent can only control its own…

机器学习 · 计算机科学 2024-08-20 I-Hong Hou

We study the Bandit Clustering (BC) problem under the fixed confidence setting, where the objective is to group a collection of data sequences (arms) into clusters through sequential sampling from adaptively selected arms at each time step…

机器学习 · 计算机科学 2026-01-15 G Dhinesh Chandran , Kota Srinivas Reddy , Srikrishna Bhashyam

We consider the problem of latent bandits with cluster structure where there are multiple users, each with an associated multi-armed bandit problem. These users are grouped into \emph{latent} clusters such that the mean reward vectors of…

机器学习 · 计算机科学 2023-07-12 Soumyabrata Pal , Arun Sai Suggala , Karthikeyan Shanmugam , Prateek Jain