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Many important optimization problems, such as the minimum spanning tree and minimum-cost flow, can be solved optimally by a greedy method. In this work, we study a learning variant of these problems, where the model of the problem is…

机器学习 · 计算机科学 2014-11-24 Branislav Kveton , Zheng Wen , Azin Ashkan , Michal Valko

Restless bandits are an important class of problems with applications in recommender systems, active learning, revenue management and other areas. We consider infinite-horizon discounted restless bandits with many arms where a fixed…

机器学习 · 计算机科学 2022-03-31 Xiangyu Zhang , Peter I. Frazier

Real-world applications of reinforcement learning for recommendation and experimentation faces a practical challenge: the relative reward of different bandit arms can evolve over the lifetime of the learning agent. To deal with these…

机器学习 · 计算机科学 2022-06-29 Srivas Chennu , Andrew Maher , Jamie Martin , Subash Prabanantham

This work deals with a class of problems under interval data uncertainty, namely interval robust-hard problems, composed of interval data min-max regret generalizations of classical NP-hard combinatorial problems modeled as 0-1 integer…

数据结构与算法 · 计算机科学 2016-12-21 Lucas Assunção , Thiago F. Noronha , Andréa Cynthia Santos , Rafael Andrade

We study two model selection settings in stochastic linear bandits (LB). In the first setting, which we refer to as feature selection, the expected reward of the LB problem is in the linear span of at least one of $M$ feature maps (models).…

This paper addresses the poor finite-horizon performance of existing online \emph{restless bandit} (RB) algorithms, which stems from the prohibitive sample complexity of learning a full \emph{Markov decision process} (MDP) for each agent.…

机器学习 · 计算机科学 2026-04-07 Jiamin Xu , Ivan Nazarov , Aditya Rastogi , África Periáñez , Kyra Gan

We consider a stochastic linear system and address the design of a finite horizon control policy that is optimal according to some average cost criterion and accounts also for probabilistic constraints on both the input and state variables.…

最优化与控制 · 数学 2016-10-21 Luca Deori , Simone Garatti , Maria Prandini

A recent work by Schlisselberg et al. (2024) studies a delay-as-payoff model for stochastic multi-armed bandits, where the payoff (either loss or reward) is delayed for a period that is proportional to the payoff itself. While this captures…

机器学习 · 计算机科学 2025-02-21 Mengxiao Zhang , Yingfei Wang , Haipeng Luo

Motivated by recommendation problems in music streaming platforms, we propose a nonstationary stochastic bandit model in which the expected reward of an arm depends on the number of rounds that have passed since the arm was last pulled.…

机器学习 · 统计学 2020-02-20 Leonardo Cella , Nicolò Cesa-Bianchi

In this paper, we introduce the notion of replicable policies in the context of stochastic bandits, one of the canonical problems in interactive learning. A policy in the bandit environment is called replicable if it pulls, with high…

机器学习 · 计算机科学 2023-02-16 Hossein Esfandiari , Alkis Kalavasis , Amin Karbasi , Andreas Krause , Vahab Mirrokni , Grigoris Velegkas

Restless bandit problems assume time-varying reward distributions of the arms, which adds flexibility to the model but makes the analysis more challenging. We study learning algorithms over the unknown reward distributions and prove a…

机器学习 · 计算机科学 2019-10-15 Young Hun Jung , Marc Abeille , Ambuj Tewari

Canonical algorithms for multi-armed bandits typically assume a stationary reward environment where the size of the action space (number of arms) is small. More recently developed methods typically relax only one of these assumptions:…

机器学习 · 计算机科学 2025-06-02 Derek Everett , Fred Lu , Edward Raff , Fernando Camacho , James Holt

We study the problem of adversarial combinatorial bandit with a switching cost $\lambda$ for a switch of each selected arm in each round, considering both the bandit feedback and semi-bandit feedback settings. In the oblivious adversarial…

机器学习 · 统计学 2024-04-03 Yanyan Dong , Vincent Y. F. Tan

The Combinatorial Multi-Armed Bandit problem is a sequential decision-making problem in which an agent selects a set of arms on each round, observes feedback for each of these arms and aims to maximize a known reward function of the arms it…

机器学习 · 计算机科学 2020-07-17 Nadav Merlis , Shie Mannor

In this paper, we address the stochastic contextual linear bandit problem, where a decision maker is provided a context (a random set of actions drawn from a distribution). The expected reward of each action is specified by the inner…

机器学习 · 统计学 2023-05-30 Osama A. Hanna , Lin F. Yang , Christina Fragouli

Artificial behavioral agents are often evaluated based on their consistent behaviors and performance to take sequential actions in an environment to maximize some notion of cumulative reward. However, human decision making in real life…

人工智能 · 计算机科学 2021-12-28 Baihan Lin , Guillermo Cecchi , Djallel Bouneffouf , Jenna Reinen , Irina Rish

In many applications of online decision making, the environment is non-stationary and it is therefore crucial to use bandit algorithms that handle changes. Most existing approaches are designed to protect against non-smooth changes,…

机器学习 · 计算机科学 2024-11-19 Su Jia , Qian Xie , Nathan Kallus , Peter I. Frazier

In this work we consider a stochastic linear quadratic two-player game. The state measurements are observed through a switched noiseless communication link. Each player incurs a finite cost every time the link is established to get…

计算机科学与博弈论 · 计算机科学 2017-09-21 Dipankar Maity , Achilleas Anastasopoulos , John S. Baras

We study approximation algorithms for scheduling problems with the objective of minimizing total weighted completion time, under identical and related machine models with job precedence constraints. We give algorithms that improve upon many…

数据结构与算法 · 计算机科学 2017-07-26 Shi Li

In this paper, we consider a general observation model for restless multi-armed bandit problems. The operation of the player is based on the past observation history that is limited (partial) and error-prone due to resource constraints or…

机器学习 · 统计学 2025-12-17 Keqin Liu , Qizhen Jia
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