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Contextual dueling bandits, where a learner compares two options based on context and receives feedback indicating which was preferred, extends classic dueling bandits by incorporating contextual information for decision-making and…

机器学习 · 计算机科学 2024-04-10 Xuheng Li , Heyang Zhao , Quanquan Gu

We consider a contextual combinatorial bandit problem where in each round a learning agent selects a subset of arms and receives feedback on the selected arms according to their scores. The score of an arm is an unknown function of the…

机器学习 · 统计学 2023-06-02 Taehyun Hwang , Kyuwook Chai , Min-hwan Oh

Strategic behavior against sequential learning methods, such as "click framing" in real recommendation systems, have been widely observed. Motivated by such behavior we study the problem of combinatorial multi-armed bandits (CMAB) under…

机器学习 · 计算机科学 2021-11-22 Jing Dong , Ke Li , Shuai Li , Baoxiang Wang

We consider a combinatorial multi-armed bandit problem for maximum value reward function under maximum value and index feedback. This is a new feedback structure that lies in between commonly studied semi-bandit and full-bandit feedback…

机器学习 · 计算机科学 2023-05-26 Yiliu Wang , Wei Chen , Milan Vojnović

Continuously learning and leveraging the knowledge accumulated from prior tasks in order to improve future performance is a long standing machine learning problem. In this paper, we study the problem in the multi-armed bandit framework with…

机器学习 · 计算机科学 2020-12-29 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

We introduce the problem of regret minimization in adversarial multi-dueling bandits. While adversarial preferences have been studied in dueling bandits, they have not been explored in multi-dueling bandits. In this setting, the learner is…

机器学习 · 计算机科学 2024-06-27 Pratik Gajane

Many physical systems have underlying safety considerations that require that the strategy deployed ensures the satisfaction of a set of constraints. Further, often we have only partial information on the state of the system. We study the…

We study the linear bandit problem that accounts for partially observable features. Without proper handling, unobserved features can lead to linear regret in the decision horizon $T$, as their influence on rewards is unknown. To tackle this…

机器学习 · 统计学 2025-08-19 Wonyoung Kim , Sungwoo Park , Garud Iyengar , Assaf Zeevi , Min-hwan Oh

We study the problem of incentive-compatible online learning with bandit feedback. In this class of problems, the experts are self-interested agents who might misrepresent their preferences with the goal of being selected most often. The…

机器学习 · 计算机科学 2024-05-13 Julian Zimmert , Teodor V. Marinov

Upper Confidence Bound (UCB) algorithms are a widely-used class of sequential algorithms for the $K$-armed bandit problem. Despite extensive research over the past decades aimed at understanding their asymptotic and (near) minimax…

统计理论 · 数学 2024-12-10 Qiyang Han , Koulik Khamaru , Cun-Hui Zhang

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

机器学习 · 计算机科学 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias

We consider the contextual bandit problem where at each time, the agent only has access to a noisy version of the context and the error variance (or an estimator of this variance). This setting is motivated by a wide range of applications…

机器学习 · 统计学 2024-03-19 Yongyi Guo , Ziping Xu , Susan Murphy

We study bandit model selection in stochastic environments. Our approach relies on a meta-algorithm that selects between candidate base algorithms. We develop a meta-algorithm-base algorithm abstraction that can work with general classes of…

机器学习 · 计算机科学 2022-12-06 Aldo Pacchiano , My Phan , Yasin Abbasi-Yadkori , Anup Rao , Julian Zimmert , Tor Lattimore , Csaba Szepesvari

Conversational recommendation systems elicit user preferences by interacting with users to obtain their feedback on recommended commodities. Such systems utilize a multi-armed bandit framework to learn user preferences in an online manner…

机器学习 · 计算机科学 2024-07-29 Shuhua Yang , Hui Yuan , Xiaoying Zhang , Mengdi Wang , Hong Zhang , Huazheng Wang

Regret bounds in online learning compare the player's performance to $L^*$, the optimal performance in hindsight with a fixed strategy. Typically such bounds scale with the square root of the time horizon $T$. The more refined concept of…

机器学习 · 计算机科学 2018-02-12 Zeyuan Allen-Zhu , Sébastien Bubeck , Yuanzhi Li

We consider combinatorial semi-bandits over a set of arms ${\cal X} \subset \{0,1\}^d$ where rewards are uncorrelated across items. For this problem, the algorithm ESCB yields the smallest known regret bound $R(T) = {\cal O}\Big( {d (\ln…

机器学习 · 统计学 2021-01-14 Thibaut Cuvelier , Richard Combes , Eric Gourdin

In this work, we study the performance of the Thompson Sampling algorithm for Contextual Bandit problems based on the framework introduced by Neu et al. and their concept of lifted information ratio. First, we prove a comprehensive bound on…

Generalized Linear Bandits (GLBs) are powerful extensions to the Linear Bandit (LB) setting, broadening the benefits of reward parametrization beyond linearity. In this paper we study GLBs in non-stationary environments, characterized by a…

机器学习 · 计算机科学 2021-03-11 Louis Faury , Yoan Russac , Marc Abeille , Clément Calauzènes

We study a nonparametric contextual bandit problem where the expected reward functions belong to a H\"older class with smoothness parameter $\beta$. We show how this interpolates between two extremes that were previously studied in…

机器学习 · 统计学 2020-09-14 Yichun Hu , Nathan Kallus , Xiaojie Mao

We tackle the problem of online reward maximisation over a large finite set of actions described by their contexts. We focus on the case when the number of actions is too big to sample all of them even once. However we assume that we have…

机器学习 · 计算机科学 2013-09-27 Michal Valko , Nathaniel Korda , Remi Munos , Ilias Flaounas , Nelo Cristianini