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In this paper, we consider the problem of sleeping bandits with stochastic action sets and adversarial rewards. In this setting, in contrast to most work in bandits, the actions may not be available at all times. For instance, some products…

机器学习 · 计算机科学 2020-08-11 Aadirupa Saha , Pierre Gaillard , Michal Valko

We consider the linear contextual bandit problem with resource consumption, in addition to reward generation. In each round, the outcome of pulling an arm is a reward as well as a vector of resource consumptions. The expected values of…

机器学习 · 计算机科学 2016-07-12 Shipra Agrawal , Nikhil R. Devanur

We investigate the \emph{linear contextual bandit problem} with independent and identically distributed (i.i.d.) contexts. In this problem, we aim to develop a \emph{Best-of-Both-Worlds} (BoBW) algorithm with regret upper bounds in both…

机器学习 · 计算机科学 2025-05-29 Masahiro Kato , Shinji Ito

Contextual recommendation is a variant of contextual linear bandits in which the learner observes an (optimal) action rather than a reward scalar. Recently, Sakaue et al. (2025) developed an efficient Online Newton Step (ONS) approach with…

机器学习 · 计算机科学 2026-04-02 Shinsaku Sakaue

We study contextual linear bandit problems under feature uncertainty, where the features are noisy and have missing entries. To address the challenges posed by this noise, we analyze Bayesian oracles given the observed noisy features. Our…

人工智能 · 计算机科学 2024-10-11 Jung-hun Kim , Se-Young Yun , Minchan Jeong , Jun Hyun Nam , Jinwoo Shin , Richard Combes

We propose a linear contextual bandit algorithm with $O(\sqrt{dT\log T})$ regret bound, where $d$ is the dimension of contexts and $T$ isthe time horizon. Our proposed algorithm is equipped with a novel estimator in which exploration is…

机器学习 · 统计学 2023-03-30 Wonyoung Kim , Myunghee Cho Paik , Min-hwan Oh

We consider a contextual version of multi-armed bandit problem with global knapsack constraints. In each round, the outcome of pulling an arm is a scalar reward and a resource consumption vector, both dependent on the context, and the…

机器学习 · 计算机科学 2016-07-12 Shipra Agrawal , Nikhil R. Devanur , Lihong Li

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 consider the contextual bandit problem, where a player sequentially makes decisions based on past observations to maximize the cumulative reward. Although many algorithms have been proposed for contextual bandit, most of them rely on…

机器学习 · 计算机科学 2021-06-08 Qin Ding , Cho-Jui Hsieh , James Sharpnack

We consider online convex optimization with a zero-order oracle feedback. In particular, the decision maker does not know the explicit representation of the time-varying cost functions, or their gradients. At each time step, she observes…

最优化与控制 · 数学 2020-05-05 Tatiana Tatarenko , Maryam Kamgarpour

We consider a budget-constrained bandit problem where each arm pull incurs a random cost, and yields a random reward in return. The objective is to maximize the total expected reward under a budget constraint on the total cost. The model is…

机器学习 · 计算机科学 2020-03-03 Semih Cayci , Atilla Eryilmaz , R. Srikant

Many works have developed no-regret algorithms for contextual bandits with function approximation, where the mean reward function over context-action pairs belongs to a function class. Although there are many approaches to this problem, one…

机器学习 · 计算机科学 2025-03-18 Aldo Pacchiano

We present the OMG-CMDP! algorithm for regret minimization in adversarial Contextual MDPs. The algorithm operates under the minimal assumptions of realizable function class and access to online least squares and log loss regression oracles.…

机器学习 · 计算机科学 2023-08-15 Orin Levy , Alon Cohen , Asaf Cassel , Yishay Mansour

Contextual bandit algorithms are sensitive to the estimation method of the outcome model as well as the exploration method used, particularly in the presence of rich heterogeneity or complex outcome models, which can lead to difficult…

机器学习 · 统计学 2018-12-18 Maria Dimakopoulou , Zhengyuan Zhou , Susan Athey , Guido Imbens

We study a variant of causal contextual bandits where the context is chosen based on an initial intervention chosen by the learner. At the beginning of each round, the learner selects an initial action, depending on which a stochastic…

机器学习 · 计算机科学 2024-06-04 Rahul Madhavan , Aurghya Maiti , Gaurav Sinha , Siddharth Barman

We study the linear contextual bandit problem in the presence of adversarial corruption, where the reward at each round is corrupted by an adversary, and the corruption level (i.e., the sum of corruption magnitudes over the horizon) is…

机器学习 · 计算机科学 2022-07-12 Jiafan He , Dongruo Zhou , Tong Zhang , Quanquan Gu

Despite the significant interest and progress in reinforcement learning (RL) problems with adversarial corruption, current works are either confined to the linear setting or lead to an undesired $\tilde{O}(\sqrt{T}\zeta)$ regret bound,…

机器学习 · 统计学 2024-02-13 Chenlu Ye , Wei Xiong , Quanquan Gu , Tong Zhang

Stochastic linear contextual bandit algorithms have substantial applications in practice, such as recommender systems, online advertising, clinical trials, etc. Recent works show that optimal bandit algorithms are vulnerable to adversarial…

机器学习 · 统计学 2023-01-31 Qin Ding , Cho-Jui Hsieh , James Sharpnack

Contextual sequential decision-making problems play a crucial role in machine learning, encompassing a wide range of downstream applications such as bandits, sequential hypothesis testing and online risk control. These applications often…

机器学习 · 统计学 2025-01-31 Haichen Hu , Rui Ai , Stephen Bates , David Simchi-Levi

This paper investigates regret minimization, statistical inference, and their interplay in high-dimensional online decision-making based on the sparse linear context bandit model. We integrate the $\varepsilon$-greedy bandit algorithm for…

机器学习 · 计算机科学 2025-05-20 Congyuan Duan , Wanteng Ma , Jiashuo Jiang , Dong Xia