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We study the linear contextual bandit problem in the presence of adversarial corruption, where the interaction between the player and a possibly infinite decision set is contaminated by an adversary that can corrupt the reward up to a…

机器学习 · 计算机科学 2021-10-26 Heyang Zhao , Dongruo Zhou , Quanquan Gu

In reinforcement learning from human feedback, preference-based reward models play a central role in aligning large language models to human-aligned behavior. However, recent studies show that these models are prone to reward hacking and…

人工智能 · 计算机科学 2025-10-23 Wenqian Ye , Guangtao Zheng , Aidong Zhang

While contextual bandit has a mature theory, effectively leveraging different feedback patterns to enhance the pace of learning remains unclear. Bandits with feedback graphs, which interpolates between the full information and bandit…

机器学习 · 计算机科学 2023-10-30 Mengxiao Zhang , Yuheng Zhang , Olga Vrousgou , Haipeng Luo , Paul Mineiro

We introduce a new stochastic smoothing perspective to study adversarial contextual bandit problems. We propose a general algorithm template that represents random perturbation based algorithms and identify several perturbation…

机器学习 · 统计学 2019-06-12 Young Hun Jung , Ambuj Tewari

We study an algorithm-independent, worst-case lower bound for the Gaussian process (GP) bandit problem in the frequentist setting, where the reward function is fixed and has a bounded norm in the known reproducing kernel Hilbert space…

机器学习 · 计算机科学 2026-02-23 Shogo Iwazaki

The aim of this study is to present a good modernistic strategy for solving some well-known classes of Lane-Emden type singular differential equations. The proposed approach is based on the reproducing kernel Hilbert space (RKHS) and…

In this paper we investigate the problem of stochastic multi-armed bandits (MAB) in the (local) differential privacy (DP/LDP) model. Unlike previous results that assume bounded/sub-Gaussian reward distributions, we focus on the setting…

机器学习 · 计算机科学 2022-03-25 Youming Tao , Yulian Wu , Peng Zhao , Di Wang

The contextual bandit framework is widely used to solve sequential optimization problems where the reward of each decision depends on auxiliary context variables. In settings such as medicine, business, and engineering, the decision maker…

机器学习 · 统计学 2025-03-17 Kevin Li , Eric Laber

We consider the problem of contextual bandits where actions are subsets of a ground set and mean rewards are modeled by an unknown monotone submodular function that belongs to a class $\mathcal{F}$. We allow time-varying matroid constraints…

机器学习 · 计算机科学 2021-12-07 Dean P. Foster , Alexander Rakhlin

Bandits serve as the theoretical foundation of sequential learning and an algorithmic foundation of modern recommender systems. However, recommender systems often rely on user-sensitive data, making privacy a critical concern. This paper…

机器学习 · 统计学 2024-04-16 Achraf Azize , Debabrota Basu

Consider the sequential optimization of a continuous, possibly non-convex, and expensive to evaluate objective function $f$. The problem can be cast as a Gaussian Process (GP) bandit where $f$ lives in a reproducing kernel Hilbert space…

机器学习 · 统计学 2021-08-23 Sattar Vakili , Nacime Bouziani , Sepehr Jalali , Alberto Bernacchia , Da-shan Shiu

In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

机器学习 · 计算机科学 2021-07-13 Mehdi Amian

Contextual bandit learning is an increasingly popular approach to optimizing recommender systems via user feedback, but can be slow to converge in practice due to the need for exploring a large feature space. In this paper, we propose a…

机器学习 · 计算机科学 2012-07-03 Yisong Yue , Sue Ann Hong , Carlos Guestrin

The widespread proliferation of data-driven decision-making has ushered in a recent interest in the design of privacy-preserving algorithms. In this paper, we consider the ubiquitous problem of gaussian process (GP) bandit optimization from…

机器学习 · 统计学 2021-02-25 Abhimanyu Dubey

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 introduce a refined differentially private (DP) data structure for kernel density estimation (KDE), offering not only improved privacy-utility tradeoff but also better efficiency over prior results. Specifically, we study the…

数据结构与算法 · 计算机科学 2025-03-25 Erzhi Liu , Jerry Yao-Chieh Hu , Alex Reneau , Zhao Song , Han Liu

We consider the model selection task in the stochastic contextual bandit setting. Suppose we are given a collection of base contextual bandit algorithms. We provide a master algorithm that combines them and achieves the same performance, up…

机器学习 · 计算机科学 2020-06-09 Aurélien F. Bibaut , Antoine Chambaz , Mark J. van der Laan

We study a variant of the stochastic linear bandit problem wherein we optimize a linear objective function but rewards are accrued only orthogonal to an unknown subspace (which we interpret as a \textit{protected space}) given only…

机器学习 · 计算机科学 2021-03-03 Advait Parulekar , Soumya Basu , Aditya Gopalan , Karthikeyan Shanmugam , Sanjay Shakkottai

Recent years have witnessed growing concerns about the privacy of sensitive data. In response to these concerns, differential privacy has emerged as a rigorous framework for privacy protection, gaining widespread recognition in both…

统计理论 · 数学 2024-01-09 Ilmun Kim , Antonin Schrab

We propose the first contextual bandit algorithm that is parameter-free, efficient, and optimal in terms of dynamic regret. Specifically, our algorithm achieves dynamic regret $\mathcal{O}(\min\{\sqrt{ST},…

机器学习 · 计算机科学 2019-06-19 Yifang Chen , Chung-Wei Lee , Haipeng Luo , Chen-Yu Wei