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We study the problem of best-arm identification with fixed confidence in stochastic linear bandits. The objective is to identify the best arm with a given level of certainty while minimizing the sampling budget. We devise a simple algorithm…

机器学习 · 统计学 2020-06-30 Yassir Jedra , Alexandre Proutiere

We propose a new problem setting to study the sequential interactions between a recommender system and a user. Instead of assuming the user is omniscient, static, and explicit, as the classical practice does, we sketch a more realistic user…

机器学习 · 计算机科学 2021-10-08 Fan Yao , Chuanhao Li , Denis Nekipelov , Hongning Wang , Haifeng Xu

We investigate the sample complexity of learning the optimal arm for multi-task bandit problems. Arms consist of two components: one that is shared across tasks (that we call representation) and one that is task-specific (that we call…

机器学习 · 统计学 2022-11-29 Alessio Russo , Alexandre Proutiere

We propose stochastic rank-$1$ bandits, a class of online learning problems where at each step a learning agent chooses a pair of row and column arms, and receives the product of their values as a reward. The main challenge of the problem…

机器学习 · 计算机科学 2017-03-09 Sumeet Katariya , Branislav Kveton , Csaba Szepesvari , Claire Vernade , Zheng Wen

We introduce the \emph{Correlated Preference Bandits} problem with random utility-based choice models (RUMs), where the goal is to identify the best item from a given pool of $n$ items through online subsetwise preference feedback. We…

机器学习 · 计算机科学 2022-02-25 Suprovat Ghoshal , Aadirupa Saha

In this paper, the causal bandit problem is investigated, with the objective of maximizing the long-term reward by selecting an optimal sequence of interventions on nodes in an unknown causal graph. It is assumed that both the causal…

机器学习 · 计算机科学 2025-06-30 Chen Peng , Di Zhang , Urbashi Mitra

The rapid advancement in large language models (LLMs) has brought forth a diverse range of models with varying capabilities that excel in different tasks and domains. However, selecting the optimal LLM for user queries often involves a…

机器学习 · 计算机科学 2025-02-06 Yang Li

Multi-armed bandit algorithms have become a reference solution for handling the explore/exploit dilemma in recommender systems, and many other important real-world problems, such as display advertisement. However, such algorithms usually…

机器学习 · 计算机科学 2018-05-25 Qingyun Wu , Naveen Iyer , Hongning Wang

Collaborative bandit learning, i.e., bandit algorithms that utilize collaborative filtering techniques to improve sample efficiency in online interactive recommendation, has attracted much research attention as it enjoys the best of both…

机器学习 · 计算机科学 2021-04-16 Chuanhao Li , Qingyun Wu , Hongning Wang

In pure-exploration problems, information is gathered sequentially to answer a question on the stochastic environment. While best-arm identification for linear bandits has been extensively studied in recent years, few works have been…

机器学习 · 统计学 2022-06-10 Marc Jourdan , Rémy Degenne

The deployment of Multi-Armed Bandits (MAB) has become commonplace in many economic applications. However, regret guarantees for even state-of-the-art linear bandit algorithms (such as Optimism in the Face of Uncertainty Linear bandit…

计量经济学 · 经济学 2023-02-28 Jingwen Zhang , Yifang Chen , Amandeep Singh

In this paper, we propose and study opportunistic contextual bandits - a special case of contextual bandits where the exploration cost varies under different environmental conditions, such as network load or return variation in…

机器学习 · 计算机科学 2019-05-29 Xueying Guo , Xiaoxiao Wang , Xin Liu

We introduce Coarse Q-learning (CQL), a reinforcement-learning model for bandit problems with stochastically varying menus. Alternatives are exogenously partitioned into similarity classes, and feedback from sampled alternatives is pooled…

理论经济学 · 经济学 2026-05-13 Philippe Jehiel , Aviman Satpathy

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

最优化与控制 · 数学 2023-05-01 Antonio Alcántara , Carlos Ruiz

We investigate contextual bandits in the presence of side-observations across arms in order to design recommendation algorithms for users connected via social networks. Users in social networks respond to their friends' activity, and hence…

机器学习 · 计算机科学 2020-10-27 Rahul Singh , Fang Liu , Xin Liu , Ness Shroff

We study the robust best-arm identification problem (RBAI) in the case of linear rewards. The primary objective is to identify a near-optimal robust arm, which involves selecting arms at every round and assessing their robustness by…

机器学习 · 计算机科学 2023-11-09 Wei Wang , Sattar Vakili , Ilija Bogunovic

We study the best-arm identification problem in multi-armed bandits with stochastic, potentially private rewards, when the goal is to identify the arm with the highest quantile at a fixed, prescribed level. First, we propose a (non-private)…

We consider the problem of model selection for two popular stochastic linear bandit settings, and propose algorithms that adapts to the unknown problem complexity. In the first setting, we consider the $K$ armed mixture bandits, where the…

机器学习 · 统计学 2020-06-17 Avishek Ghosh , Abishek Sankararaman , Kannan Ramchandran

We present a formal model of human decision-making in explore-exploit tasks using the context of multi-armed bandit problems, where the decision-maker must choose among multiple options with uncertain rewards. We address the standard…

机器学习 · 计算机科学 2019-12-23 Paul Reverdy , Vaibhav Srivastava , Naomi E. Leonard

In this paper, we study a variant of best-arm identification involving elements of risk sensitivity and communication constraints. Specifically, the goal of the learner is to identify the arm with the highest quantile reward, while the…

机器学习 · 统计学 2025-02-11 Ivan Lau , Jonathan Scarlett