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We study finite-armed stochastic bandits where the rewards of each arm might be correlated to those of other arms. We introduce a novel phased algorithm that exploits the given structure to build confidence sets over the parameters of the…

机器学习 · 计算机科学 2020-05-26 Andrea Tirinzoni , Alessandro Lazaric , Marcello Restelli

We consider a continuous-time multi-arm bandit problem (CTMAB), where the learner can sample arms any number of times in a given interval and obtain a random reward from each sample, however, increasing the frequency of sampling incurs an…

机器学习 · 计算机科学 2023-04-20 Rahul Vaze , Manjesh K. Hanawal

We consider the framework of stochastic multi-armed bandit problems and study the possibilities and limitations of forecasters that perform an on-line exploration of the arms. These forecasters are assessed in terms of their simple regret,…

统计理论 · 数学 2010-07-26 Sébastien Bubeck , Rémi Munos , Gilles Stoltz

In multi-armed bandits with network interference (MABNI), the action taken by one node can influence the rewards of others, creating complex interdependence. While existing research on MABNI largely concentrates on minimizing regret, it…

机器学习 · 计算机科学 2025-10-14 Zichen Wang , Haoyang Hong , Chuanhao Li , Haoxuan Li , Zhiheng Zhang , Huazheng Wang

Combinatorial multi-armed bandits provide a fundamental online decision-making environment where a decision-maker interacts with an environment across $T$ time steps, each time selecting an action and learning the cost of that action. The…

机器学习 · 计算机科学 2026-04-13 Gerdus Benadè , Rathish Das , Thomas Lavastida

We introduce a novel online learning framework that unifies and generalizes pre-established models, such as delayed and corrupted feedback, to encompass adversarial environments where action feedback evolves over time. In this setting, the…

机器学习 · 计算机科学 2024-05-28 Yogev Bar-On , Yishay Mansour

This paper introduces and addresses a wide class of stochastic bandit problems where the function mapping the arm to the corresponding reward exhibits some known structural properties. Most existing structures (e.g. linear, Lipschitz,…

机器学习 · 统计学 2017-11-02 Richard Combes , Stefan Magureanu , Alexandre Proutiere

We introduce a bandit framework for stochastic matching under the multinomial logit (MNL) choice model. In our setting, $N$ agents on one side are assigned to $K$ arms on the other side, where each arm stochastically selects an agent from…

机器学习 · 统计学 2026-01-30 Jung-hun Kim , Min-hwan Oh

We propose algorithms based on a multi-level Thompson sampling scheme, for the stochastic multi-armed bandit and its contextual variant with linear expected rewards, in the setting where arms are clustered. We show, both theoretically and…

机器学习 · 计算机科学 2022-06-16 Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

We consider the Scale-Free Adversarial Multi Armed Bandits(MAB) problem. At the beginning of the game, the player only knows the number of arms $n$. It does not know the scale and magnitude of the losses chosen by the adversary or the…

机器学习 · 计算机科学 2021-10-12 Sudeep Raja Putta , Shipra Agrawal

This work addresses the problem of regret minimization in non-stochastic multi-armed bandit problems, focusing on performance guarantees that hold with high probability. Such results are rather scarce in the literature since proving them…

机器学习 · 计算机科学 2015-11-04 Gergely Neu

Strategic behavior against sequential learning methods, such as "click framing" in real recommendation systems, have been widely observed. Motivated by such behavior we study the problem of combinatorial multi-armed bandits (CMAB) under…

机器学习 · 计算机科学 2021-11-22 Jing Dong , Ke Li , Shuai Li , Baoxiang Wang

The multi-armed bandit(MAB) is a classical sequential decision problem. Most work requires assumptions about the reward distribution (e.g., bounded), while practitioners may have difficulty obtaining information about these distributions to…

机器学习 · 计算机科学 2023-12-14 Han Qi , Fei Guo , Li Zhu

In this paper, we study sequential decision-making for maximizing the Sharpe ratio (SR) in a stochastic multi-armed bandit (MAB) setting. Unlike standard bandit formulations that maximize cumulative reward, SR optimization requires…

机器学习 · 计算机科学 2026-04-02 Mohammad Taha Shah , Sabrina Khurshid , Gourab Ghatak

We consider a stochastic multi-armed bandit setting where reward must be actively queried for it to be observed. We provide tight lower and upper problem-dependent guarantees on both the regret and the number of queries. Interestingly, we…

机器学习 · 计算机科学 2022-10-28 Nadav Merlis , Yonathan Efroni , Shie Mannor

This paper introduces a general framework for risk-sensitive bandits that integrates the notions of risk-sensitive objectives by adopting a rich class of distortion riskmetrics. The introduced framework subsumes the various existing…

机器学习 · 统计学 2025-03-13 Meltem Tatlı , Arpan Mukherjee , Prashanth L. A. , Karthikeyan Shanmugam , Ali Tajer

We study nonparametric contextual bandits under batch constraints, where the expected reward for each action is modeled as a smooth function of covariates, and the policy updates are made at the end of each batch of observations. We…

统计理论 · 数学 2025-10-06 Rong Jiang , Cong Ma

We consider combinatorial semi-bandits over a set of arms ${\cal X} \subset \{0,1\}^d$ where rewards are uncorrelated across items. For this problem, the algorithm ESCB yields the smallest known regret bound $R(T) = {\cal O}\Big( {d (\ln…

机器学习 · 统计学 2021-01-14 Thibaut Cuvelier , Richard Combes , Eric Gourdin

We consider the cooperative multi-player version of the stochastic multi-armed bandit problem. We study the regime where the players cannot communicate but have access to shared randomness. In prior work by the first two authors, a strategy…

机器学习 · 计算机科学 2020-11-10 Sébastien Bubeck , Thomas Budzinski , Mark Sellke

We consider a linear stochastic bandit problem involving $M$ agents that can collaborate via a central server to minimize regret. A fraction $\alpha$ of these agents are adversarial and can act arbitrarily, leading to the following tension:…

机器学习 · 计算机科学 2022-06-08 Aritra Mitra , Arman Adibi , George J. Pappas , Hamed Hassani