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We study the constrained variant of the \emph{multi-armed bandit} (MAB) problem, in which the learner aims not only at minimizing the total loss incurred during the learning dynamic, but also at controlling the violation of multiple…

This work addresses the coexistence problem for radar networks. Specifically, we model a network of cooperative, independent, and non-communicating radar nodes which must share resources within the network as well as with non-cooperative…

信号处理 · 电气工程与系统科学 2022-07-21 William Howard , Anthony Martone , R. Michael Buehrer

We study an interesting variant of the stochastic multi-armed bandit problem, called the Fair-SMAB problem, where each arm is required to be pulled for at least a given fraction of the total available rounds. We investigate the interplay…

机器学习 · 计算机科学 2020-02-06 Vishakha Patil , Ganesh Ghalme , Vineet Nair , Y. Narahari

This paper introduces the informational multi-armed bandit (IMAB) model in which at each round, a player chooses an arm, observes a symbol, and receives an unobserved reward in the form of the symbol's self-information. Thus, the expected…

信息论 · 计算机科学 2022-09-07 Nir Weinberger , Michal Yemini

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 2008-09-30 Robert Kleinberg , Aleksandrs Slivkins , Eli Upfal

We study an interesting variant of the stochastic multi-armed bandit problem, called the Fair-SMAB problem, where each arm is required to be pulled for at least a given fraction of the total available rounds. We investigate the interplay…

机器学习 · 计算机科学 2019-07-24 Vishakha Patil , Ganesh Ghalme , Vineet Nair , Y. Narahari

We examine the long-run behavior of multi-agent online learning in games that evolve over time. Specifically, we focus on a wide class of policies based on mirror descent, and we show that the induced sequence of play (a) converges to Nash…

计算机科学与博弈论 · 计算机科学 2022-08-11 Benoit Duvocelle , Panayotis Mertikopoulos , Mathias Staudigl , Dries Vermeulen

We study the adversarial bandit problem against arbitrary strategies, where the difficulty is captured by an unknown parameter $S$, which is the number of switches in the best arm in hindsight. To handle this problem, we adopt the…

机器学习 · 计算机科学 2025-11-26 Jung-hun Kim , Se-Young Yun

We study the problem of online clustering of data sequences in the multi-armed bandit (MAB) framework under the fixed-confidence setting. There are $M$ arms, each providing i.i.d. samples from a parametric distribution whose parameters are…

机器学习 · 计算机科学 2026-03-23 G Dhinesh Chandran , Srinivas Reddy Kota , Srikrishna Bhashyam

The stochastic multi-armed bandit (MAB) problem is a common model for sequential decision problems. In the standard setup, a decision maker has to choose at every instant between several competing arms, each of them provides a scalar random…

机器学习 · 统计学 2021-10-27 Asaf Cassel , Shie Mannor , Assaf Zeevi

Restless multi-armed bandits (RMAB) have been widely used to model sequential decision making problems with constraints. The decision maker (DM) aims to maximize the expected total reward over an infinite horizon under an "instantaneous…

机器学习 · 计算机科学 2023-12-25 Shufan Wang , Guojun Xiong , Jian Li

Combinatorial online learning is a fundamental task for selecting the optimal action (or super arm) as a combination of base arms in sequential interactions with systems providing stochastic rewards. It is applicable to diverse domains such…

机器学习 · 计算机科学 2026-03-04 Seockbean Song , Youngsik Yoon , Siwei Wang , Wei Chen , Jungseul Ok

We consider a variant of the multi-armed bandit model, which we call multi-armed bandit problem with known trend, where the gambler knows the shape of the reward function of each arm but not its distribution. This new problem is motivated…

机器学习 · 计算机科学 2017-05-15 Djallel Bouneffouf , Raphaël Feraud

We study the stochastic Multi-Armed Bandit (MAB) problem with random delays in the feedback received by the algorithm. We consider two settings: the reward-dependent delay setting, where realized delays may depend on the stochastic rewards,…

机器学习 · 计算机科学 2021-06-07 Tal Lancewicki , Shahar Segal , Tomer Koren , Yishay Mansour

We propose two linear bandits algorithms with per-step complexity sublinear in the number of arms $K$. The algorithms are designed for applications where the arm set is extremely large and slowly changing. Our key realization is that…

机器学习 · 计算机科学 2022-06-13 Shuo Yang , Tongzheng Ren , Sanjay Shakkottai , Eric Price , Inderjit S. Dhillon , Sujay Sanghavi

Understanding complex dynamics of two-sided online matching markets, where the demand-side agents compete to match with the supply-side (arms), has recently received substantial interest. To that end, in this paper, we introduce the…

机器学习 · 统计学 2022-06-02 Avishek Ghosh , Abishek Sankararaman , Kannan Ramchandran , Tara Javidi , Arya Mazumdar

We consider the problem of sequentially allocating resources in a censored semi-bandits setup, where the learner allocates resources at each step to the arms and observes loss. The loss depends on two hidden parameters, one specific to the…

机器学习 · 计算机科学 2021-04-14 Arun Verma , Manjesh K. Hanawal , Arun Rajkumar , Raman Sankaran

We study a novel variant of online finite-horizon Markov Decision Processes with adversarially changing loss functions and initially unknown dynamics. In each episode, the learner suffers the loss accumulated along the trajectory realized…

机器学习 · 计算机科学 2021-02-02 Alon Cohen , Haim Kaplan , Tomer Koren , Yishay Mansour

We consider the restless multi-armed bandit (RMAB) problem with unknown dynamics in which a player chooses M out of N arms to play at each time. The reward state of each arm transits according to an unknown Markovian rule when it is played…

最优化与控制 · 数学 2011-12-30 Haoyang Liu , Keqin Liu , Qing Zhao

Stochastic multi-armed bandits form a class of online learning problems that have important applications in online recommendation systems, adaptive medical treatment, and many others. Even though potential attacks against these learning…

机器学习 · 计算机科学 2019-05-17 Fang Liu , Ness Shroff