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In this paper, we present refined probabilistic bounds on empirical reward estimates for off-policy learning in bandit problems. We build on the PAC-Bayesian bounds from Seldin et al. (2010) and improve on their results using a new…

机器学习 · 统计学 2025-02-18 Amaury Gouverneur , Tobias J. Oechtering , Mikael Skoglund

The rise of large-scale pretrained models has made it feasible to generate predictive or synthetic features at low cost, raising the question of how to incorporate such surrogate predictions into downstream decision-making. We study this…

机器学习 · 统计学 2026-04-03 Hao Yan , Heyan Zhang , Yongyi Guo

Contextual dueling bandits form a cornerstone of preference-based decision-making, with critical applications in recommender systems and large language model alignment. However, standard algorithms rely on the idealized assumption of…

机器学习 · 计算机科学 2026-05-27 Xiangyi Wang , Pingchen Lu , Jie Mao , Mingze Kong , Zhi Hong , Zhiyong Wang , Zhongxiang Dai

We consider learning methods based on the regularization of a convex empirical risk by a squared Hilbertian norm, a setting that includes linear predictors and non-linear predictors through positive-definite kernels. In order to go beyond…

机器学习 · 计算机科学 2019-06-19 Ulysse Marteau-Ferey , Dmitrii Ostrovskii , Francis Bach , Alessandro Rudi

We study bandit learning in matching markets, where players and arms constitute the two market sides, and the players' utilities are linear in the arm contexts. In each round, new arms arrive with observable contexts. Then, the algorithm…

机器学习 · 计算机科学 2026-05-28 Shiyun Lin , Simon Mauras , Vianney Perchet , Nadav Merlis

A recurring theme in statistical learning, online learning, and beyond is that faster convergence rates are possible for problems with low noise, often quantified by the performance of the best hypothesis; such results are known as…

机器学习 · 计算机科学 2021-07-07 Dylan J. Foster , Akshay Krishnamurthy

Controlling antenna tilts in cellular networks is imperative to reach an efficient trade-off between network coverage and capacity. In this paper, we devise algorithms learning optimal tilt control policies from existing data (in the…

机器学习 · 计算机科学 2022-01-07 Filippo Vannella , Alexandre Proutiere , Yassir Jedra , Jaeseong Jeong

In networked environments, users frequently share recommendations about content, products, services, and courses of action with others. The extent to which such recommendations are successful and adopted is highly contextual, dependent on…

机器学习 · 计算机科学 2025-10-23 Ahmed Sayeed Faruk , Mohammad Shahverdikondori , Elena Zheleva

We study online adversarial regression with convex losses against a rich class of continuous yet highly irregular prediction rules, modeled by Besov spaces $B\_{pq}^s$ with general parameters $1 \leq p,q \leq \infty$ and smoothness $s >…

统计理论 · 数学 2025-09-23 Paul Liautaud , Pierre Gaillard , Olivier Wintenberger

In the classical multi-armed bandit problem, instance-dependent algorithms attain improved performance on "easy" problems with a gap between the best and second-best arm. Are similar guarantees possible for contextual bandits? While…

机器学习 · 计算机科学 2020-10-08 Dylan J. Foster , Alexander Rakhlin , David Simchi-Levi , Yunzong Xu

We revisit the finite-armed linear bandit model by Nelson et al. (2022), where contexts and rewards are governed by a finite hidden Markov chain. Nelson et al. (2022) approach this model by a reduction to linear contextual bandits; but to…

机器学习 · 计算机科学 2026-04-10 Zhen Li , Gilles Stoltz

We study offline reinforcement learning (RL) in partially observable Markov decision processes. In particular, we aim to learn an optimal policy from a dataset collected by a behavior policy which possibly depends on the latent state. Such…

机器学习 · 计算机科学 2024-04-02 Miao Lu , Yifei Min , Zhaoran Wang , Zhuoran Yang

We study the kernelized bandit problem, that involves designing an adaptive strategy for querying a noisy zeroth-order-oracle to efficiently learn about the optimizer of an unknown function $f$ with a norm bounded by $M<\infty$ in a…

机器学习 · 计算机科学 2022-03-15 Shubhanshu Shekhar , Tara Javidi

We study the problem of meta-learning several contextual stochastic bandits tasks by leveraging their concentration around a low-dimensional affine subspace, which we learn via online principal component analysis to reduce the expected…

机器学习 · 计算机科学 2024-04-02 Steven Bilaj , Sofien Dhouib , Setareh Maghsudi

In linear contextual bandits, the objective is to select actions that maximize cumulative rewards, modeled as a linear function with unknown parameters. Although Thompson Sampling performs well empirically, it does not achieve optimal…

机器学习 · 统计学 2025-06-18 Wonyoung Kim

In the reinforcement learning literature, there are many algorithms developed for either Contextual Bandit (CB) or Markov Decision Processes (MDP) environments. However, when deploying reinforcement learning algorithms in the real world,…

机器学习 · 计算机科学 2022-08-02 Kelly W. Zhang , Omer Gottesman , Finale Doshi-Velez

Model selection in contextual bandits is an important complementary problem to regret minimization with respect to a fixed model class. We consider the simplest non-trivial instance of model-selection: distinguishing a simple multi-armed…

机器学习 · 计算机科学 2022-07-01 Vidya Muthukumar , Akshay Krishnamurthy

The multi-armed bandit (MAB) problem is a foundational framework in sequential decision-making under uncertainty, extensively studied for its applications in areas such as clinical trials, online advertising, and resource allocation.…

机器学习 · 计算机科学 2024-10-28 Ali Baheri

We introduce a new model of stochastic bandits with adversarial corruptions which aims to capture settings where most of the input follows a stochastic pattern but some fraction of it can be adversarially changed to trick the algorithm,…

机器学习 · 计算机科学 2018-03-28 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

Statistical inference in contextual bandits is challenging due to the adaptive, non-i.i.d. nature of the data. A growing body of work shows that classical least-squares inference can fail under adaptive sampling, and that valid confidence…

机器学习 · 统计学 2026-01-09 Samya Praharaj , Koulik Khamaru
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