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As sequential learning algorithms are increasingly applied to real life, ensuring data privacy while maintaining their utilities emerges as a timely question. In this context, regret minimisation in stochastic bandits under…

机器学习 · 统计学 2025-05-12 Achraf Azize , Yulian Wu , Junya Honda , Francesco Orabona , Shinji Ito , Debabrota Basu

We study the logistic bandit, in which rewards are binary with success probability $\exp(\beta a^\top \theta) / (1 + \exp(\beta a^\top \theta))$ and actions $a$ and coefficients $\theta$ are within the $d$-dimensional unit ball. While prior…

机器学习 · 统计学 2019-05-14 Shi Dong , Tengyu Ma , Benjamin Van Roy

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 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

We study linear bandits when the underlying reward function is not linear. Existing work relies on a uniform misspecification parameter $\epsilon$ that measures the sup-norm error of the best linear approximation. This results in an…

机器学习 · 计算机科学 2023-07-21 Chong Liu , Ming Yin , Yu-Xiang Wang

Motivated by the pressing need for efficient optimization in online recommender systems, we revisit the cascading bandit model proposed by Kveton et al. (2015). While Thompson sampling (TS) algorithms have been shown to be empirically…

机器学习 · 计算机科学 2021-05-18 Zixin Zhong , Wang Chi Cheung , Vincent Y. F. Tan

This paper studies the one-shot behavior of no-regret algorithms for stochastic bandits. Although many algorithms are known to be asymptotically optimal with respect to the expected regret, over a single run, their pseudo-regret seems to…

机器学习 · 计算机科学 2023-12-01 Victor Boone

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 extend the model of Multi-armed Bandit with unit switching cost to incorporate a metric between the actions. We consider the case where the metric over the actions can be modeled by a complete binary tree, and the distance between two…

机器学习 · 计算机科学 2017-02-27 Tomer Koren , Roi Livni , Yishay Mansour

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

We consider the standard $K$-armed bandit problem under a distributed trust model of differential privacy (DP), which enables to guarantee privacy without a trustworthy server. Under this trust model, previous work largely focus on…

机器学习 · 计算机科学 2022-06-14 Sayak Ray Chowdhury , Xingyu Zhou

Unlike classical control theory, such as Linear Quadratic Control (LQC), real-world control problems are highly complex. These problems often involve adversarial perturbations, bandit feedback models, and non-quadratic, adversarially chosen…

机器学习 · 计算机科学 2024-10-03 Y. Jennifer Sun , Zhou Lu

This work addresses the problem of revenue maximization in a repeated, unlimited supply item-pricing auction while preserving buyer privacy. We present a novel algorithm that provides differential privacy with respect to the buyer's input…

计算机科学与博弈论 · 计算机科学 2023-10-31 Joon Suk Huh

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

We propose feature perturbation, a simple yet effective exploration strategy for contextual bandits that injects randomness directly into feature inputs, instead of randomizing unknown parameters or adding noise to rewards. Remarkably, this…

机器学习 · 计算机科学 2025-10-27 Seouh-won Yi , Min-hwan Oh

We revisit the standard perturbation-based approach of Abernethy et al. (2008) in the context of unconstrained Bandit Linear Optimization (uBLO). We show the surprising result that in the unconstrained setting, this approach effectively…

机器学习 · 计算机科学 2026-03-31 Andrew Jacobsen , Dorian Baudry , Shinji Ito , Nicolò Cesa-Bianchi

Reinforcement learning is an attractive approach to learn good resource allocation and scheduling policies based on data when the system model is unknown. However, the cumulative regret of most RL algorithms scales as $\tilde O(\mathsf{S}…

机器学习 · 计算机科学 2023-04-28 Nima Akbarzadeh , Aditya Mahajan

We study a federated linear bandits model, where $M$ clients communicate with a central server to solve a linear contextual bandits problem with finite adversarial action sets that may be different across clients. To address the unique…

机器学习 · 计算机科学 2023-11-03 Li Fan , Ruida Zhou , Chao Tian , Cong Shen

We study the $\textit{single-index bandit}$ problem, where rewards depend on an unknown one-dimensional projection of high-dimensional contexts through an unknown reward function. This model extends linear and generalized linear bandits to…

机器学习 · 统计学 2026-05-12 Devdan Dey , Sujoy Bhore , Avishek Ghosh

We consider the adversarial linear contextual bandit problem, where the loss vectors are selected fully adversarially and the per-round action set (i.e. the context) is drawn from a fixed distribution. Existing methods for this problem…

机器学习 · 计算机科学 2023-09-06 Haolin Liu , Chen-Yu Wei , Julian Zimmert