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By exploiting ultrafast and irregular time series generated by lasers with delayed feedback, we have previously demonstrated a scalable algorithm to solve multi-armed bandit (MAB) problems utilizing the time-division multiplexing of laser…

信号处理 · 电气工程与系统科学 2020-05-28 Naoki Narisawa , Nicolas Chauvet , Mikio Hasegawa , Makoto Naruse

In the Multi-Armed Bandit (MAB) problem, there is a given set of arms with unknown reward models. At each time, a player selects one arm to play, aiming to maximize the total expected reward over a horizon of length T. An approach based on…

最优化与控制 · 数学 2013-03-12 Sattar Vakili , Keqin Liu , Qing Zhao

Motivated by a natural problem in online model selection with bandit information, we introduce and analyze a best arm identification problem in the rested bandit setting, wherein arm expected losses decrease with the number of times the arm…

机器学习 · 统计学 2020-12-08 Leonardo Cella , Claudio Gentile , Massimiliano Pontil

We consider an extension to the restless multi-armed bandit (RMAB) problem with unknown arm dynamics, where an unknown exogenous global Markov process governs the rewards distribution of each arm. Under each global state, the rewards…

机器学习 · 计算机科学 2023-01-04 Tomer Gafni , Michal Yemini , Kobi Cohen

Experimentation with interference poses a significant challenge in contemporary online platforms. Prior research on experimentation with interference has concentrated on the final output of a policy. The cumulative performance, while…

机器学习 · 计算机科学 2024-07-17 Su Jia , Peter Frazier , Nathan Kallus

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 Bandits (MAB) framework highlights the tension between acquiring new knowledge (Exploration) and leveraging available knowledge (Exploitation). In the classical MAB problem, a decision maker must choose an arm at each time…

机器学习 · 统计学 2017-11-03 Nir Levine , Koby Crammer , Shie Mannor

We study a new stochastic multi-player multi-armed bandits (MP-MAB) problem, where the reward distribution changes if a collision occurs on the arm. Existing literature always assumes a zero reward for involved players if collision happens,…

信息论 · 计算机科学 2021-09-01 Chengshuai Shi , Cong Shen

We investigate multiarmed bandits with delayed feedback, where the delays need neither be identical nor bounded. We first prove that "delayed" Exp3 achieves the $O(\sqrt{(KT + D)\ln K} )$ regret bound conjectured by Cesa-Bianchi et al.…

机器学习 · 计算机科学 2019-11-20 Tobias Sommer Thune , Nicolò Cesa-Bianchi , Yevgeny Seldin

We study incentivized exploration for the multi-armed bandit (MAB) problem where the players receive compensation for exploring arms other than the greedy choice and may provide biased feedback on reward. We seek to understand the impact of…

机器学习 · 计算机科学 2019-12-17 Zhiyuan Liu , Huazheng Wang , Fan Shen , Kai Liu , Lijun Chen

Significant work has been recently dedicated to the stochastic delayed bandit setting because of its relevance in applications. The applicability of existing algorithms is however restricted by the fact that strong assumptions are often…

机器学习 · 统计学 2020-06-19 Anne Gael Manegueu , Claire Vernade , Alexandra Carpentier , Michal Valko

We study the stochastic Budgeted Multi-Armed Bandit (MAB) problem, where a player chooses from $K$ arms with unknown expected rewards and costs. The goal is to maximize the total reward under a budget constraint. A player thus seeks to…

机器学习 · 计算机科学 2023-08-16 Marco Heyden , Vadim Arzamasov , Edouard Fouché , Klemens Böhm

We develop a novel and generic algorithm for the adversarial multi-armed bandit problem (or more generally the combinatorial semi-bandit problem). When instantiated differently, our algorithm achieves various new data-dependent regret…

机器学习 · 计算机科学 2018-06-08 Chen-Yu Wei , Haipeng Luo

We consider the classic online learning and stochastic multi-armed bandit (MAB) problems, when at each step, the online policy can probe and find out which of a small number ($k$) of choices has better reward (or loss) before making its…

数据结构与算法 · 计算机科学 2022-11-08 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

This paper investigates the problem of combinatorial multiarmed bandits with stochastic submodular (in expectation) rewards and full-bandit delayed feedback, where the delayed feedback is assumed to be composite and anonymous. In other…

机器学习 · 计算机科学 2025-01-23 Mohammad Pedramfar , Vaneet Aggarwal

Motivated by cognitive radio networks, we consider the stochastic multiplayer multi-armed bandit problem, where several players pull arms simultaneously and collisions occur if one of them is pulled by several players at the same stage. We…

机器学习 · 计算机科学 2019-11-20 Etienne Boursier , Vianney Perchet

We consider a stochastic multi-armed bandit (MAB) problem motivated by ``large'' action spaces, and endowed with a population of arms containing exactly $K$ arm-types, each characterized by a distinct mean reward. The decision maker is…

机器学习 · 计算机科学 2023-01-19 Anand Kalvit , Assaf Zeevi

We study a decentralized cooperative stochastic multi-armed bandit problem with $K$ arms on a network of $N$ agents. In our model, the reward distribution of each arm is the same for each agent and rewards are drawn independently across…

机器学习 · 计算机科学 2019-10-25 David Martínez-Rubio , Varun Kanade , Patrick Rebeschini

In this paper, we investigate a largely extended version of classical MAB problem, called networked combinatorial bandit problems. In particular, we consider the setting of a decision maker over a networked bandits as follows: each time a…

机器学习 · 计算机科学 2015-03-23 Shaojie Tang , Yaqin Zhou

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