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We design differentially private algorithms for the problem of online linear optimization in the full information and bandit settings with optimal $\tilde{O}(\sqrt{T})$ regret bounds. In the full-information setting, our results demonstrate…

机器学习 · 计算机科学 2017-06-15 Naman Agarwal , Karan Singh

In this paper, we propose differentially private algorithms for the problem of stochastic linear bandits in the central, local and shuffled models. In the central model, we achieve almost the same regret as the optimal non-private…

机器学习 · 计算机科学 2022-07-08 Osama A. Hanna , Antonious M. Girgis , Christina Fragouli , Suhas Diggavi

Contextual bandit algorithms are useful in personalized online decision-making. However, many applications such as personalized medicine and online advertising require the utilization of individual-specific information for effective…

机器学习 · 统计学 2021-06-08 Yuxuan Han , Zhipeng Liang , Yang Wang , Jiheng Zhang

We consider a high-dimensional stochastic contextual linear bandit problem when the parameter vector is $s_{0}$-sparse and the decision maker is subject to privacy constraints under both central and local models of differential privacy. We…

机器学习 · 计算机科学 2024-02-07 Apurv Shukla

We present the first algorithms for generalized linear contextual bandits under shuffle differential privacy and joint differential privacy. While prior work on private contextual bandits has been restricted to linear reward models -- which…

机器学习 · 统计学 2026-04-28 Sahasrajit Sarmasarkar

We study privacy-preserving exploration in sequential decision-making for environments that rely on sensitive data such as medical records. In particular, we focus on solving the problem of reinforcement learning (RL) subject to the…

机器学习 · 计算机科学 2022-06-24 Dung Daniel Ngo , Giuseppe Vietri , Zhiwei Steven Wu

We design new differentially private algorithms for the problems of adversarial bandits and bandits with expert advice. For adversarial bandits, we give a simple and efficient conversion of any non-private bandit algorithm to a private…

机器学习 · 计算机科学 2025-05-29 Hilal Asi , Vinod Raman , Kunal Talwar

Stochastic linear bandits with high-dimensional sparse features are a practical model for a variety of domains, including personalized medicine and online advertising. We derive a novel $\Omega(n^{2/3})$ dimension-free minimax regret lower…

机器学习 · 统计学 2021-09-07 Botao Hao , Tor Lattimore , Mengdi Wang

Differential privacy (DP) has been recently introduced to linear contextual bandits to formally address the privacy concerns in its associated personalized services to participating users (e.g., recommendations). Prior work largely focus on…

机器学习 · 计算机科学 2022-05-25 Sayak Ray Chowdhury , Xingyu Zhou

We consider the well-studied dueling bandit problem, where a learner aims to identify near-optimal actions using pairwise comparisons, under the constraint of differential privacy. We consider a general class of utility-based preference…

机器学习 · 计算机科学 2024-03-25 Aadirupa Saha , Hilal Asi

We consider the problem of contextual kernel bandits with stochastic contexts, where the underlying reward function belongs to a known Reproducing Kernel Hilbert Space. We study this problem under an additional constraint of Differential…

机器学习 · 统计学 2025-07-21 Nikola Pavlovic , Sudeep Salgia , Qing Zhao

We study high-dimensional multi-armed contextual bandits with batched feedback where the $T$ steps of online interactions are divided into $L$ batches. In specific, each batch collects data according to a policy that depends on previous…

机器学习 · 统计学 2023-11-27 Jianqing Fan , Zhaoran Wang , Zhuoran Yang , Chenlu Ye

Contextual bandit with linear reward functions is among one of the most extensively studied models in bandit and online learning research. Recently, there has been increasing interest in designing \emph{locally private} linear contextual…

机器学习 · 统计学 2024-04-16 Jiachun Li , David Simchi-Levi , Yining Wang

This paper studies \emph{differential privacy (DP)} and \emph{local differential privacy (LDP)} in cascading bandits. Under DP, we propose an algorithm which guarantees $\epsilon$-indistinguishability and a regret of…

机器学习 · 计算机科学 2021-06-07 Kun Wang , Jing Dong , Baoxiang Wang , Shuai Li , Shuo Shao

We study the contextual linear bandit problem, a version of the standard stochastic multi-armed bandit (MAB) problem where a learner sequentially selects actions to maximize a reward which depends also on a user provided per-round context.…

机器学习 · 计算机科学 2018-10-02 Roshan Shariff , Or Sheffet

We present a novel approach to address the multi-agent sparse contextual linear bandit problem, in which the feature vectors have a high dimension $d$ whereas the reward function depends on only a limited set of features - precisely $s_0…

机器学习 · 计算机科学 2023-05-31 Haniyeh Barghi , Xiaotong Cheng , Setareh Maghsudi

We consider a collection of linear stochastic bandit problems, each modeling the random response of different agents to proposed interventions, coupled together by a global safety constraint. We assume a central coordinator must choose…

最优化与控制 · 数学 2025-04-24 Arghavan Zibaie , Spencer Hutchinson , Ramtin Pedarsani , Mahnoosh Alizadeh

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

We study regret minimization under privacy constraints in episodic inhomogeneous linear Markov Decision Processes (MDPs), motivated by the growing use of reinforcement learning (RL) in personalized decision-making systems that rely on…

机器学习 · 计算机科学 2025-04-29 Sharan Sahu

We consider the stochastic contextual bandit problem under the high dimensional linear model. We focus on the case where the action space is finite and random, with each action associated with a randomly generated contextual covariate. This…

机器学习 · 统计学 2020-09-07 Yining Wang , Yi Chen , Ethan X. Fang , Zhaoran Wang , Runze Li
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