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We investigate the problem of cumulative regret minimization for individual sequence prediction with respect to the best expert in a finite family of size K under limited access to information. We assume that in each round, the learner can…

统计理论 · 数学 2022-10-06 El Mehdi Saad , G. Blanchard

We consider the regret minimization task in a dueling bandits problem with context information. In every round of the sequential decision problem, the learner makes a context-dependent selection of two choice alternatives (arms) to be…

机器学习 · 计算机科学 2022-10-14 Viktor Bengs , Aadirupa Saha , Eyke Hüllermeier

We consider adversarial multi-armed bandit problems where the learner is allowed to observe losses of a number of arms beside the arm that it actually chose. We study the case where all non-chosen arms reveal their loss with a fixed but…

机器学习 · 统计学 2026-04-29 Tomáš Kocák , Gergely Neu , Michal Valko

We consider the adversarial combinatorial multi-armed bandit (CMAB) problem, whose decision set can be exponentially large with respect to the number of given arms. To avoid dealing with such large decision sets directly, we propose an…

数据结构与算法 · 计算机科学 2017-07-27 Shinsaku Sakaue , Masakazu Ishihata , Shin-ichi Minato

We investigate the problem of stochastic, combinatorial multi-armed bandits where the learner only has access to bandit feedback and the reward function can be non-linear. We provide a general framework for adapting discrete offline…

机器学习 · 计算机科学 2023-10-13 Guanyu Nie , Yididiya Y Nadew , Yanhui Zhu , Vaneet Aggarwal , Christopher John Quinn

In this paper, we study Combinatorial Semi-Bandits (CSB) that is an extension of classic Multi-Armed Bandits (MAB) under Differential Privacy (DP) and stronger Local Differential Privacy (LDP) setting. Since the server receives more…

机器学习 · 计算机科学 2020-07-06 Xiaoyu Chen , Kai Zheng , Zixin Zhou , Yunchang Yang , Wei Chen , Liwei Wang

We revisit the classic regret-minimization problem in the stochastic multi-armed bandit setting when the arm-distributions are allowed to be heavy-tailed. Regret minimization has been well studied in simpler settings of either bounded…

机器学习 · 计算机科学 2021-02-09 Shubhada Agrawal , Sandeep Juneja , Wouter M. Koolen

We consider online no-regret learning in unknown games with bandit feedback, where each player can only observe its reward at each time -- determined by all players' current joint action -- rather than its gradient. We focus on the class of…

机器学习 · 计算机科学 2024-04-01 Wenjia Ba , Tianyi Lin , Jiawei Zhang , Zhengyuan Zhou

The dueling bandit is a learning framework wherein the feedback information in the learning process is restricted to a noisy comparison between a pair of actions. In this research, we address a dueling bandit problem based on a cost…

机器学习 · 统计学 2017-12-13 Wataru Kumagai

We consider an N-player multi-armed bandit game where each player chooses one out of M arms for T turns. Each player has different expected rewards for the arms, and the instantaneous rewards are independent and identically distributed or…

计算机科学与博弈论 · 计算机科学 2021-04-06 Ilai Bistritz , Amir Leshem

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

We address the problem of stochastic combinatorial semi-bandits, where a player selects among P actions from the power set of a set containing d base items. Adaptivity to the problem's structure is essential in order to obtain optimal…

机器学习 · 计算机科学 2024-11-18 Julien Zhou , Pierre Gaillard , Thibaud Rahier , Houssam Zenati , Julyan Arbel

We study the sequential resource allocation problem where a decision maker repeatedly allocates budgets between resources. Motivating examples include allocating limited computing time or wireless spectrum bands to multiple users (i.e.,…

机器学习 · 计算机科学 2021-05-11 Jinhang Zuo , Carlee Joe-Wong

We develop the first general semi-bandit algorithm that simultaneously achieves $\mathcal{O}(\log T)$ regret for stochastic environments and $\mathcal{O}(\sqrt{T})$ regret for adversarial environments without knowledge of the regime or the…

机器学习 · 计算机科学 2019-09-27 Julian Zimmert , Haipeng Luo , Chen-Yu Wei

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

We study a distributed multi-armed bandit (MAB) problem over arm erasure channels, motivated by the increasing adoption of MAB algorithms over communication-constrained networks. In this setup, the learner communicates the chosen arm to…

机器学习 · 计算机科学 2026-01-21 Merve Karakas , Osama Hanna , Lin F. Yang , Christina Fragouli

We study a variant of prediction with expert advice where the learner's action at round $t$ is only allowed to depend on losses on a specific subset of the rounds (where the structure of which rounds' losses are visible at time $t$ is…

机器学习 · 计算机科学 2024-07-02 Khashayar Gatmiry , Jon Schneider

We consider a special case of bandit problems, named batched bandits, in which an agent observes batches of responses over a certain time period. Unlike previous work, we consider a more practically relevant batch-centric scenario of batch…

机器学习 · 计算机科学 2023-04-04 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

Many online decision-making problems correspond to maximizing a sequence of submodular functions. In this work, we introduce sum-max functions, a subclass of monotone submodular functions capturing several interesting problems, including…

机器学习 · 计算机科学 2023-11-13 Stephen Pasteris , Alberto Rumi , Fabio Vitale , Nicolò Cesa-Bianchi

In this paper, we investigate the streaming bandits problem, wherein the learner aims to minimize regret by dealing with online arriving arms and sublinear arm memory. We establish the tight worst-case regret lower bound of $\Omega \left(…

机器学习 · 计算机科学 2023-06-14 Shaoang Li , Lan Zhang , Junhao Wang , Xiang-Yang Li