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We study $K$-armed bandit problems where the reward distributions of the arms are all supported on the $[0,1]$ interval. It has been a challenge to design regret-efficient randomized exploration algorithms in this setting. Maillard sampling…

机器学习 · 计算机科学 2024-04-15 Hao Qin , Kwang-Sung Jun , Chicheng Zhang

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

最优化与控制 · 数学 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied

State of the art online learning procedures focus either on selecting the best alternative ("best arm identification") or on minimizing the cost (the "regret"). We merge these two objectives by providing the theoretical analysis of cost…

机器学习 · 计算机科学 2019-02-27 Rémy Degenne , Thomas Nedelec , Clément Calauzènes , Vianney Perchet

We define a general framework for a large class of combinatorial multi-armed bandit (CMAB) problems, where subsets of base arms with unknown distributions form super arms. In each round, a super arm is played and the base arms contained in…

机器学习 · 计算机科学 2016-03-30 Wei Chen , Yajun Wang , Yang Yuan , Qinshi Wang

We consider a Kullback-Leibler-based algorithm for the stochastic multi-armed bandit problem in the case of distributions with finite supports (not necessarily known beforehand), whose asymptotic regret matches the lower bound of…

统计理论 · 数学 2011-06-01 Odalric-Ambrym Maillard , Rémi Munos , Gilles Stoltz

We consider the problem of distributed online learning with multiple players in multi-armed bandits (MAB) models. Each player can pick among multiple arms. When a player picks an arm, it gets a reward. We consider both i.i.d. reward model…

最优化与控制 · 数学 2016-11-18 Dileep Kalathil , Naumaan Nayyar , Rahul Jain

We study a finite-horizon restless multi-armed bandit problem with multiple actions, dubbed R(MA)^2B. The state of each arm evolves according to a controlled Markov decision process (MDP), and the reward of pulling an arm depends on both…

机器学习 · 计算机科学 2022-03-25 Guojun Xiong , Jian Li , Rahul Singh

We study the stochastic multi-armed bandit (MAB) problem where an underlying network structure enables side-observations across related actions. We use a bipartite graph to link actions to a set of unknowns, such that selecting an action…

机器学习 · 计算机科学 2026-03-30 Ashutosh Soni , Peizhong Ju , Atilla Eryilmaz , Ness B. Shroff

This work addresses the coexistence problem for radar networks. Specifically, we model a network of cooperative, independent, and non-communicating radar nodes which must share resources within the network as well as with non-cooperative…

信号处理 · 电气工程与系统科学 2022-07-21 William Howard , Anthony Martone , R. Michael Buehrer

Sequential decision-making under uncertainty often involves multiple agents learning which actions (arms) yield the highest rewards through repeated interaction with a stochastic environment. This setting is commonly modeled by cooperative…

系统与控制 · 电气工程与系统科学 2026-03-25 Evagoras Makridis , Themistoklis Charalambous

This paper proposes a distributionally robust unit commitment approach for microgrids under net load and electricity market price uncertainty. The key thrust of the proposed approach is to leverage the Kullback-Leibler divergence to…

最优化与控制 · 数学 2020-12-15 Ogun Yurdakul , Fikret Sivrikaya , Sahin Albayrak

Multi-armed bandit problems are considered as a paradigm of the trade-off between exploring the environment to find profitable actions and exploiting what is already known. In the stationary case, the distributions of the rewards do not…

统计理论 · 数学 2008-12-18 Aurélien Garivier , Eric Moulines

In this paper, we develop a new elegant framework relying on the Kullback-Leibler Information Criterion to address the design of one-stage adaptive detection architectures for multiple hypothesis testing problems. Specifically, at the…

信号处理 · 电气工程与系统科学 2021-03-23 Pia Addabbo , Sudan Han , Fillippo Biondi , Gaetano Giunta , Danilo Orlando

An automatic machine learning (AutoML) task is to select the best algorithm and its hyper-parameters simultaneously. Previously, the hyper-parameters of all algorithms are joint as a single search space, which is not only huge but also…

机器学习 · 计算机科学 2019-06-03 Yi-Qi Hu , Yang Yu , Jun-Da Liao

The deepening penetration of renewable resources into power systems entails great difficulties that have not been surmounted satisfactorily. An issue that merits special attention is the short-term planning of power systems under net load…

最优化与控制 · 数学 2020-12-15 Ogun Yurdakul , Fikret Sivrikaya , Sahin Albayrak

A standard assumption adopted in the multi-armed bandit (MAB) framework is that the mean rewards are constant over time. This assumption can be restrictive in the business world as decision-makers often face an evolving environment where…

机器学习 · 计算机科学 2021-08-24 Ningyuan Chen , Chun Wang , Longlin Wang

WiFi networks have achieved remarkable success in enabling seamless communication and data exchange worldwide. The IEEE 802.11be standard, known as WiFi 7, introduces Multi-Link Operation (MLO), a groundbreaking feature that enables devices…

网络与互联网体系结构 · 计算机科学 2025-06-06 Shumin Lian , Jingwen Tong , Jun Zhang , Liqun Fu

We consider a variant of the best arm identification (BAI) problem in multi-armed bandits (MAB) in which there are two sets of arms (source and target), and the objective is to determine the best target arm while only pulling source arms.…

机器学习 · 计算机科学 2021-12-09 Ojash Neopane , Aaditya Ramdas , Aarti Singh

We introduce GLR-klUCB, a novel algorithm for the piecewise iid non-stationary bandit problem with bounded rewards. This algorithm combines an efficient bandit algorithm, kl-UCB, with an efficient, parameter-free, changepoint detector, the…

机器学习 · 统计学 2020-12-09 Lilian Besson , Emilie Kaufmann , Odalric-Ambrym Maillard , Julien Seznec

The multi-armed bandit (MAB) model has been widely adopted for studying many practical optimization problems (network resource allocation, ad placement, crowdsourcing, etc.) with unknown parameters. The goal of the player here is to…

机器学习 · 计算机科学 2019-11-21 Fengjiao Li , Jia Liu , Bo Ji