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We study a novel setting in offline reinforcement learning (RL) where a number of distributed machines jointly cooperate to solve the problem but only one single round of communication is allowed and there is a budget constraint on the…

机器学习 · 统计学 2022-02-11 Juliusz Krysztof Ziomek , Jun Wang , Yaodong Yang

We consider multiple parallel Markov decision processes (MDPs) coupled by global constraints, where the time varying objective and constraint functions can only be observed after the decision is made. Special attention is given to how well…

最优化与控制 · 数学 2017-09-12 Xiaohan Wei , Hao Yu , Michael J. Neely

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 solve the COLT 2013 open problem of \citet{SCB} on minimizing regret in the setting of advice-efficient multiarmed bandits with expert advice. We give an algorithm for the setting of K arms and N experts out of which we are allowed to…

机器学习 · 计算机科学 2013-07-09 Satyen Kale

Learning paradigms based purely on offline data as well as those based solely on sequential online learning have been well-studied in the literature. In this paper, we consider combining offline data with online learning, an area less…

机器学习 · 计算机科学 2023-06-16 Shubhada Agrawal , Sandeep Juneja , Karthikeyan Shanmugam , Arun Sai Suggala

Many bandit systems are deployed with offline historical data, such as past logs from earlier policies. Using these data can reduce early online exploration when they remain informative for the online problem. When the offline and online…

机器学习 · 计算机科学 2026-05-08 Zean Han , Ruihan Lin , Zezhen Ding , Jiheng Zhang

We consider an online learning problem where the learner interacts with a Markov decision process in a sequence of episodes, where the reward function is allowed to change between episodes in an adversarial manner and the learner only gets…

机器学习 · 计算机科学 2021-06-15 Gergely Neu , Julia Olkhovskaya

We introduce a new algorithm for online linear-quadratic control in a known system subject to adversarial disturbances. Existing regret bounds for this setting scale as $\sqrt{T}$ unless strong stochastic assumptions are imposed on the…

机器学习 · 计算机科学 2020-06-24 Dylan J. Foster , Max Simchowitz

We consider a sequential learning problem with Gaussian payoffs and side information: after selecting an action $i$, the learner receives information about the payoff of every action $j$ in the form of Gaussian observations whose mean is…

机器学习 · 统计学 2015-10-29 Yifan Wu , András György , Csaba Szepesvári

The combinatorial multi-armed bandit (CMAB) is a fundamental sequential decision-making framework, extensively studied over the past decade. However, existing work primarily focuses on the online setting, overlooking the substantial costs…

机器学习 · 计算机科学 2025-05-30 Xutong Liu , Xiangxiang Dai , Jinhang Zuo , Siwei Wang , Carlee Joe-Wong , John C. S. Lui , Wei Chen

In this paper, we consider the contextual variant of the MNL-Bandit problem. More specifically, we consider a dynamic set optimization problem, where a decision-maker offers a subset (assortment) of products to a consumer and observes the…

机器学习 · 计算机科学 2024-04-16 Priyank Agrawal , Theja Tulabandhula , Vashist Avadhanula

In online exploration systems where users with fixed preferences repeatedly arrive, it has recently been shown that O(1), i.e., bounded regret, can be achieved when the system is modeled as a linear contextual bandit. This result may be of…

机器学习 · 计算机科学 2023-07-03 Enoch Hyunwook Kang , P. R. Kumar

We study a class of adversarial bandit optimization problems in which the loss functions may be non-convex and non-smooth. In each round, the learner observes a loss that consists of an underlying linear component together with an…

机器学习 · 计算机科学 2026-03-30 Zhuoyu Cheng , Kohei Hatano , Eiji Takimoto

Many applications require a learner to make sequential decisions given uncertainty regarding both the system's payoff function and safety constraints. In safety-critical systems, it is paramount that the learner's actions do not violate the…

机器学习 · 计算机科学 2020-05-06 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

We study the kernelized bandit problem, that involves designing an adaptive strategy for querying a noisy zeroth-order-oracle to efficiently learn about the optimizer of an unknown function $f$ with a norm bounded by $M<\infty$ in a…

机器学习 · 计算机科学 2022-03-15 Shubhanshu Shekhar , Tara Javidi

Fast changing states or volatile environments pose a significant challenge to online optimization, which needs to perform rapid adaptation under limited observation. In this paper, we give query and regret optimal bandit algorithms under…

机器学习 · 计算机科学 2024-01-18 Zhou Lu , Qiuyi Zhang , Xinyi Chen , Fred Zhang , David Woodruff , Elad Hazan

We present an efficient second-order algorithm with $\tilde{O}(\frac{1}{\eta}\sqrt{T})$ regret for the bandit online multiclass problem. The regret bound holds simultaneously with respect to a family of loss functions parameterized by…

机器学习 · 计算机科学 2018-01-19 Alina Beygelzimer , Francesco Orabona , Chicheng Zhang

Multi-armed bandit (MAB) is a class of online learning problems where a learning agent aims to maximize its expected cumulative reward while repeatedly selecting to pull arms with unknown reward distributions. We consider a scenario where…

机器学习 · 统计学 2019-01-25 Yang Cao , Zheng Wen , Branislav Kveton , Yao Xie

A function computation problem in directed acyclic networks has been considered in the literature, where a sink node wants to compute a target function with the inputs generated at multiple source nodes. The network links are error-free but…

信息论 · 计算机科学 2017-03-29 Cupjin Huang , Zihan Tan , Shenghao Yang , Xuan Guang

Learning with expert advice and multi-armed bandit are two classic online decision problems which differ on how the information is observed in each round of the game. We study a family of problems interpolating the two. For a vector…

机器学习 · 计算机科学 2023-08-07 Houshuang Chen , Yuchen He , Chihao Zhang