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相关论文: Distributed Bandit Learning: Near-Optimal Regret w…

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We consider a remote contextual multi-armed bandit (CMAB) problem, in which the decision-maker observes the context and the reward, but must communicate the actions to be taken by the agents over a rate-limited communication channel. This…

信息论 · 计算机科学 2022-02-11 Francesco Pase , Deniz Gunduz , Michele Zorzi

This paper considers the distributed bandit convex optimization problem with time-varying constraints. In this problem, the global loss function is the average of all the local convex loss functions, which are unknown beforehand. Each agent…

系统与控制 · 电气工程与系统科学 2025-04-25 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Lihua Xie , Tianyou Chai , Tao Yang

We present a modified tuning of the algorithm of Zimmert and Seldin [2020] for adversarial multiarmed bandits with delayed feedback, which in addition to the minimax optimal adversarial regret guarantee shown by Zimmert and Seldin…

机器学习 · 计算机科学 2022-07-01 Saeed Masoudian , Julian Zimmert , Yevgeny Seldin

We study the linear contextual bandit problem with finite action sets. When the problem dimension is $d$, the time horizon is $T$, and there are $n \leq 2^{d/2}$ candidate actions per time period, we (1) show that the minimax expected…

机器学习 · 统计学 2020-08-20 Yingkai Li , Yining Wang , Yuan Zhou

We study the non-stationary stochastic multi-armed bandit problem, where the reward statistics of each arm may change several times during the course of learning. The performance of a learning algorithm is evaluated in terms of their…

机器学习 · 计算机科学 2022-03-09 Yasin Abbasi-Yadkori , Andras Gyorgy , Nevena Lazic

Multi-armed bandit problems are the predominant theoretical model of exploration-exploitation tradeoffs in learning, and they have countless applications ranging from medical trials, to communication networks, to Web search and advertising.…

数据结构与算法 · 计算机科学 2017-09-06 Ashwinkumar Badanidiyuru , Robert Kleinberg , Aleksandrs Slivkins

Motivated by models of human decision making proposed to explain commonly observed deviations from conventional expected value preferences, we formulate two stochastic multi-armed bandit problems with distorted probabilities on the reward…

机器学习 · 计算机科学 2023-11-01 Ravi Kumar Kolla , Prashanth L. A. , Aditya Gopalan , Krishna Jagannathan , Michael Fu , Steve Marcus

Continuously learning and leveraging the knowledge accumulated from prior tasks in order to improve future performance is a long standing machine learning problem. In this paper, we study the problem in the multi-armed bandit framework with…

机器学习 · 计算机科学 2020-12-29 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

We consider an online channel scheduling problem for a single transmitter-receiver pair equipped with $N$ arbitrarily varying wireless channels. The transmission rates of the channels might be non-stationary and could be controlled by an…

信息论 · 计算机科学 2025-01-24 G Krishnakumar , Abhishek Sinha

We study stochastic multi-armed bandits under simultaneous constraints on space and adaptivity: the learner interacts with the environment in $B$ batches and has only $W$ bits of persistent memory. Prior work shows that each constraint…

机器学习 · 计算机科学 2026-03-31 Ruiyuan Huang , Zicheng Lyu , Xiaoyi Zhu , Zengfeng Huang

In the classic multi-armed bandits problem, the goal is to have a policy for dynamically operating arms that each yield stochastic rewards with unknown means. The key metric of interest is regret, defined as the gap between the expected…

最优化与控制 · 数学 2010-11-23 Yi Gai , Bhaskar Krishnamachari , Rahul Jain

We study federated contextual linear bandits, where $M$ agents cooperate with each other to solve a global contextual linear bandit problem with the help of a central server. We consider the asynchronous setting, where all agents work…

机器学习 · 计算机科学 2022-07-08 Jiafan He , Tianhao Wang , Yifei Min , Quanquan Gu

We consider the classical multi-armed bandit problem, but with strategic arms. In this context, each arm is characterized by a bounded support reward distribution and strategically aims to maximize its own utility by potentially retaining a…

机器学习 · 计算机科学 2025-01-28 Ahmed Ben Yahmed , Clément Calauzènes , Vianney Perchet

Multi-agent reinforcement learning (MARL) problems are challenging due to information asymmetry. To overcome this challenge, existing methods often require high level of coordination or communication between the agents. We consider…

机器学习 · 计算机科学 2021-11-02 Hsu Kao , Chen-Yu Wei , Vijay Subramanian

We consider a linear stochastic bandit problem where the dimension $K$ of the unknown parameter $\theta$ is larger than the sampling budget $n$. In such cases, it is in general impossible to derive sub-linear regret bounds since usual…

统计理论 · 数学 2012-05-23 Alexandra Carpentier , Rémi Munos

We study the optimal trade-off between expectation and tail risk for regret distribution in the stochastic multi-armed bandit model. We fully characterize the interplay among three desired properties for policy design: worst-case…

机器学习 · 统计学 2025-10-27 David Simchi-Levi , Zeyu Zheng , Feng Zhu

We address the online linear optimization problem with bandit feedback. Our contribution is twofold. First, we provide an algorithm (based on exponential weights) with a regret of order $\sqrt{d n \log N}$ for any finite action set with $N$…

机器学习 · 计算机科学 2012-02-15 Sébastien Bubeck , Nicolò Cesa-Bianchi , Sham M. Kakade

We consider a multiobjective multiarmed bandit problem with lexicographically ordered objectives. In this problem, the goal of the learner is to select arms that are lexicographic optimal as much as possible without knowing the arm reward…

机器学习 · 计算机科学 2019-07-30 Alihan Hüyük , Cem Tekin

We introduce efficient algorithms which achieve nearly optimal regrets for the problem of stochastic online shortest path routing with end-to-end feedback. The setting is a natural application of the combinatorial stochastic bandits…

机器学习 · 计算机科学 2018-12-20 Ruihao Zhu , Eytan Modiano

We make significant progress toward the stochastic shortest path problem with adversarial costs and unknown transition. Specifically, we develop algorithms that achieve $\widetilde{O}(\sqrt{S^2ADT_\star K})$ regret for the full-information…

机器学习 · 计算机科学 2021-06-15 Liyu Chen , Haipeng Luo