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In this paper, we propose a cost-aware cascading bandits model, a new variant of multi-armed ban- dits with cascading feedback, by considering the random cost of pulling arms. In each step, the learning agent chooses an ordered list of…

机器学习 · 计算机科学 2018-05-23 Ruida Zhou , Chao Gan , Jing Yan , Cong Shen

Explosive demands for LLMs often cause user queries to accumulate in server queues, requiring efficient routing (query-LLM matching) and scheduling (query prioritization) mechanisms. Several online algorithms are being deployed, but they…

机器学习 · 计算机科学 2026-02-03 Seoungbin Bae , Junyoung Son , Dabeen Lee

We consider the dynamic assortment optimization problem under the multinomial logit model (MNL) with unknown utility parameters. The main question investigated in this paper is model mis-specification under the $\varepsilon$-contamination…

机器学习 · 统计学 2022-07-12 Xi Chen , Akshay Krishnamurthy , Yining Wang

The analysis of online least squares estimation is at the heart of many stochastic sequential decision making problems. We employ tools from the self-normalized processes to provide a simple and self-contained proof of a tail bound of a…

人工智能 · 计算机科学 2011-02-15 Yasin Abbasi-Yadkori , David Pal , Csaba Szepesvari

We propose a novel variant of the UCB algorithm (referred to as Efficient-UCB-Variance (EUCBV)) for minimizing cumulative regret in the stochastic multi-armed bandit (MAB) setting. EUCBV incorporates the arm elimination strategy proposed in…

机器学习 · 计算机科学 2018-07-12 Subhojyoti Mukherjee , K. P. Naveen , Nandan Sudarsanam , Balaraman Ravindran

We study decentralized stochastic linear bandits, where a network of $N$ agents acts cooperatively to efficiently solve a linear bandit-optimization problem over a $d$-dimensional space. For this problem, we propose DLUCB: a fully…

机器学习 · 计算机科学 2020-12-02 Sanae Amani , Christos Thrampoulidis

A stochastic combinatorial semi-bandit is an online learning problem where at each step a learning agent chooses a subset of ground items subject to combinatorial constraints, and then observes stochastic weights of these items and receives…

机器学习 · 计算机科学 2017-02-01 Zheng Wen , Branislav Kveton , Azin Ashkan

In this paper, we study the stochastic combinatorial multi-armed bandit (CMAB) framework that allows a general nonlinear reward function, whose expected value may not depend only on the means of the input random variables but possibly on…

机器学习 · 计算机科学 2018-07-23 Wei Chen , Wei Hu , Fu Li , Jian Li , Yu Liu , Pinyan Lu

Stochastic multi-armed bandit (MAB) mechanisms are widely used in sponsored search auctions, crowdsourcing, online procurement, etc. Existing stochastic MAB mechanisms with a deterministic payment rule, proposed in the literature,…

计算机科学与博弈论 · 计算机科学 2020-06-01 Divya Padmanabhan , Satyanath Bhat , Prabuchandran K. J. , Shirish Shevade , Y. Narahari

Many settings involve sequential decision-making where a set of actions can be chosen at each time step, each action provides a stochastic reward, and the distribution for the reward of each action is initially unknown. However, frequent…

最优化与控制 · 数学 2019-10-21 Yonatan Mintz , Anil Aswani , Philip Kaminsky , Elena Flowers , Yoshimi Fukuoka

We consider the problem of controlling an unknown stochastic linear system with quadratic costs - called the adaptive LQ control problem. We re-examine an approach called ''Reward Biased Maximum Likelihood Estimate'' (RBMLE) that was…

最优化与控制 · 数学 2023-03-27 Akshay Mete , Rahul Singh , P. R. Kumar

A common task for recommender systems is to build a pro le of the interests of a user from items in their browsing history and later to recommend items to the user from the same catalog. The users' behavior consists of two parts: the…

机器学习 · 统计学 2020-08-31 Otmane Sakhi , Stephen Bonner , David Rohde , Flavian Vasile

The safe linear bandit problem (SLB) is an online approach to linear programming with unknown objective and unknown roundwise constraints, under stochastic bandit feedback of rewards and safety risks of actions. We study the tradeoffs…

机器学习 · 计算机科学 2024-07-02 Aditya Gangrade , Tianrui Chen , Venkatesh Saligrama

A multi-user multi-armed bandit (MAB) framework is used to develop algorithms for uncoordinated spectrum access. The number of users is assumed to be unknown to each user. A stochastic setting is first considered, where the rewards on a…

机器学习 · 计算机科学 2019-01-31 Meghana Bande , Venugopal V. Veeravalli

Recent studies have shown that reinforcement learning with KL-regularized objectives can enjoy faster rates of convergence or logarithmic regret, in contrast to the classical $\sqrt{T}$-type regret in the unregularized setting. However, the…

机器学习 · 计算机科学 2026-03-03 Kaixuan Ji , Qingyue Zhao , Heyang Zhao , Qiwei Di , Quanquan Gu

This paper is devoted to regret lower bounds in the classical model of stochastic multi-armed bandit. A well-known result of Lai and Robbins, which has then been extended by Burnetas and Katehakis, has established the presence of a…

机器学习 · 统计学 2011-12-19 Antoine Salomon , Jean-Yves Audibert , Issam El Alaoui

This paper presents a new algorithm for neural contextual bandits (CBs) that addresses the challenge of delayed reward feedback, where the reward for a chosen action is revealed after a random, unknown delay. This scenario is common in…

机器学习 · 计算机科学 2025-04-17 Mohammadali Moghimi , Sharu Theresa Jose , Shana Moothedath

While classical formulations of multi-armed bandit problems assume that each arm's reward is independent and stationary, real-world applications often involve non-stationary environments and interdependencies between arms. In particular,…

机器学习 · 计算机科学 2025-06-19 Ryoma Sato , Shinji Ito

We study learning algorithms for the classical Markovian bandit problem with discount. We explain how to adapt PSRL [24] and UCRL2 [2] to exploit the problem structure. These variants are called MB-PSRL and MB-UCRL2. While the regret bound…

机器学习 · 计算机科学 2022-05-04 Nicolas Gast , Bruno Gaujal , Kimang Khun

Dueling bandits is a prominent framework for decision-making involving preferential feedback, a valuable feature that fits various applications involving human interaction, such as ranking, information retrieval, and recommendation systems.…

机器学习 · 计算机科学 2024-10-16 Qiwei Di , Tao Jin , Yue Wu , Heyang Zhao , Farzad Farnoud , Quanquan Gu