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This paper studies federated linear contextual bandits under the notion of user-level differential privacy (DP). We first introduce a unified federated bandits framework that can accommodate various definitions of DP in the sequential…

机器学习 · 计算机科学 2023-06-14 Ruiquan Huang , Huanyu Zhang , Luca Melis , Milan Shen , Meisam Hajzinia , Jing Yang

In this paper we propose a novel experimental design-based algorithm to minimize regret in online stochastic linear and combinatorial bandits. While existing literature tends to focus on optimism-based algorithms--which have been shown to…

机器学习 · 计算机科学 2021-03-02 Andrew Wagenmaker , Julian Katz-Samuels , Kevin Jamieson

Offline contextual bandits allow one to learn policies from historical/offline data without requiring online interaction. However, offline policy optimization that maximizes overall expected rewards can unintentionally amplify the reward…

机器学习 · 计算机科学 2026-01-07 Yihong Guo , Junjie Luo , Guodong Gao , Ritu Agarwal , Anqi Liu

In stochastic contextual bandits, an agent sequentially makes actions from a time-dependent action set based on past experience to minimize the cumulative regret. Like many other machine learning algorithms, the performance of bandits…

机器学习 · 计算机科学 2024-04-09 Yue Kang , Cho-Jui Hsieh , Thomas C. M. Lee

We study constrained contextual bandits (CCB) with adversarially chosen contexts, where each action yields a random reward and incurs a random cost. We adopt the standard realizability assumption: conditioned on the observed context,…

机器学习 · 计算机科学 2026-02-06 Dhruv Sarkar , Abhishek Sinha

In this paper, we study differentially private online learning problems in a stochastic environment under both bandit and full information feedback. For differentially private stochastic bandits, we propose both UCB and Thompson…

机器学习 · 计算机科学 2024-05-31 Bingshan Hu , Zhiming Huang , Nishant A. Mehta , Nidhi Hegde

We study contextual bandit learning with an abstract policy class and continuous action space. We obtain two qualitatively different regret bounds: one competes with a smoothed version of the policy class under no continuity assumptions,…

机器学习 · 统计学 2020-06-23 Akshay Krishnamurthy , John Langford , Aleksandrs Slivkins , Chicheng Zhang

The deployment of Multi-Armed Bandits (MAB) has become commonplace in many economic applications. However, regret guarantees for even state-of-the-art linear bandit algorithms (such as Optimism in the Face of Uncertainty Linear bandit…

计量经济学 · 经济学 2023-02-28 Jingwen Zhang , Yifang Chen , Amandeep Singh

For the linear bandit problem, we extend the analysis of algorithm CombEXP from [R. Combes, M. S. Talebi Mazraeh Shahi, A. Proutiere, and M. Lelarge. Combinatorial bandits revisited. In C. Cortes, N. D. Lawrence, D. D. Lee, M. Sugiyama, and…

数据结构与算法 · 计算机科学 2016-10-14 Gábor Braun , Sebastian Pokutta

We develop a learning principle and an efficient algorithm for batch learning from logged bandit feedback. This learning setting is ubiquitous in online systems (e.g., ad placement, web search, recommendation), where an algorithm makes a…

机器学习 · 计算机科学 2015-05-22 Adith Swaminathan , Thorsten Joachims

This study investigates the problem of $K$-armed linear contextual bandits, an instance of the multi-armed bandit problem, under an adversarial corruption. At each round, a decision-maker observes an independent and identically distributed…

机器学习 · 计算机科学 2023-12-29 Masahiro Kato , Shinji Ito

Offline reinforcement learning (RL) aims at learning an optimal strategy using a pre-collected dataset without further interactions with the environment. While various algorithms have been proposed for offline RL in the previous literature,…

机器学习 · 计算机科学 2023-03-02 Wei Xiong , Han Zhong , Chengshuai Shi , Cong Shen , Liwei Wang , Tong Zhang

In this paper, we investigate the impact of context diversity on stochastic linear contextual bandits. As opposed to the previous view that contexts lead to more difficult bandit learning, we show that when the contexts are sufficiently…

机器学习 · 计算机科学 2020-03-06 Weiqiang Wu , Jing Yang , Cong Shen

We introduce the model selection problem in pure exploration linear bandits, where the learner needs to adapt to the instance-dependent complexity measure of the smallest hypothesis class containing the true model. We design algorithms in…

机器学习 · 统计学 2022-03-18 Yinglun Zhu , Julian Katz-Samuels , Robert Nowak

In this research, we investigate the high-dimensional linear contextual bandit problem where the number of features $p$ is greater than the budget $T$, or it may even be infinite. Differing from the majority of previous works in this field,…

机器学习 · 统计学 2025-06-27 Junpei Komiyama , Masaaki Imaizumi

Stochastic linear bandits are a natural and simple generalisation of finite-armed bandits with numerous practical applications. Current approaches focus on generalising existing techniques for finite-armed bandits, notably the optimism…

机器学习 · 统计学 2016-10-17 Tor Lattimore , Csaba Szepesvari

Contextual bandits are widely-used in the study of learning-based control policies for finite action spaces. While the problem is well-studied for bandits with perfectly observed context vectors, little is known about the case of…

机器学习 · 统计学 2022-02-03 Hongju Park , Mohamad Kazem Shirani Faradonbeh

In linear bandits, how can a learner effectively learn when facing corrupted rewards? While significant work has explored this question, a holistic understanding across different adversarial models and corruption measures is lacking, as is…

机器学习 · 计算机科学 2024-10-21 Haolin Liu , Artin Tajdini , Andrew Wagenmaker , Chen-Yu Wei

We study adversarial online nonparametric regression with general convex losses and propose a parameter-free learning algorithm that achieves minimax optimal rates. Our approach leverages chaining trees to compete against H{\"o}lder…

统计理论 · 数学 2025-04-14 Paul Liautaud , Pierre Gaillard , Olivier Wintenberger

We study an online decision making problem where on each round a learner chooses a list of items based on some side information, receives a scalar feedback value for each individual item, and a reward that is linearly related to this…

机器学习 · 计算机科学 2016-11-07 Akshay Krishnamurthy , Alekh Agarwal , Miroslav Dudik