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Recently multi-armed bandit problem arises in many real-life scenarios where arms must be sampled in batches, due to limited time the agent can wait for the feedback. Such applications include biological experimentation and online…

机器学习 · 统计学 2023-12-22 Shengyu Cao , Simai He , Ruoqing Jiang , Jin Xu , Hongsong Yuan

We study a resource allocation problem with varying requests, and with resources of limited capacity shared by multiple requests. It is modeled as a set of heterogeneous Restless Multi-Armed Bandit Problems (RMABPs) connected by constraints…

最优化与控制 · 数学 2020-03-30 Jing Fu , Bill Moran , Peter G. Taylor

We consider a bandit problem where at any time, the decision maker can add new arms to her consideration set. A new arm is queried at a cost from an "arm-reservoir" containing finitely many "arm-types," each characterized by a distinct mean…

机器学习 · 计算机科学 2022-10-10 Anand Kalvit , Assaf Zeevi

We present algorithms for reducing the Dueling Bandits problem to the conventional (stochastic) Multi-Armed Bandits problem. The Dueling Bandits problem is an online model of learning with ordinal feedback of the form "A is preferred to B"…

机器学习 · 计算机科学 2014-05-15 Nir Ailon , Thorsten Joachims , Zohar Karnin

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 study how representation learning can improve the learning efficiency of contextual bandit problems. We study the setting where we play T contextual linear bandits with dimension d simultaneously, and these T bandit tasks collectively…

机器学习 · 计算机科学 2025-01-08 Jiabin Lin , Shana Moothedath , Namrata Vaswani

The piecewise-stationary bandit problem is an important variant of the multi-armed bandit problem that further considers abrupt changes in the reward distributions. The main theme of the problem is the trade-off between exploration for…

机器学习 · 计算机科学 2024-10-10 Kuan-Ta Li , Ping-Chun Hsieh , Yu-Chih Huang

In machine learning, the notion of multi-armed bandits refers to a class of online learning problems, in which an agent is supposed to simultaneously explore and exploit a given set of choice alternatives in the course of a sequential…

机器学习 · 计算机科学 2021-07-13 Viktor Bengs , Robert Busa-Fekete , Adil El Mesaoudi-Paul , Eyke Hüllermeier

Optimal regret bounds for Multi-Armed Bandit problems are now well documented. They can be classified into two categories based on the growth rate with respect to the time horizon $T$: (i) small, distribution-dependent, bounds of order of…

数据结构与算法 · 计算机科学 2017-04-12 Arthur Flajolet , Patrick Jaillet

This paper studies a multi-armed bandit problem where the decision-maker is loss averse, in particular she is risk averse in the domain of gains and risk loving in the domain of losses. The focus is on large horizons. Consequences of loss…

概率论 · 数学 2022-05-19 Zengjing Chen , Larry G. Epstein , Guodong Zhang

Active learning methods have shown great promise in reducing the number of samples necessary for learning. As automated learning systems are adopted into real-time, real-world decision-making pipelines, it is increasingly important that…

机器学习 · 计算机科学 2022-06-23 Romain Camilleri , Andrew Wagenmaker , Jamie Morgenstern , Lalit Jain , Kevin Jamieson

We study MNL bandits, which is a variant of the traditional multi-armed bandit problem, under risk criteria. Unlike the ordinary expected revenue, risk criteria are more general goals widely used in industries and bussiness. We design…

机器学习 · 计算机科学 2021-03-17 Guangyu Xi , Chao Tao , Yuan Zhou

Learning in multi-player games can model a large variety of practical scenarios, where each player seeks to optimize its own local objective function, which at the same time relies on the actions taken by others. Motivated by the frequent…

最优化与控制 · 数学 2023-09-08 Yuanhanqing Huang , Jianghai Hu

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

The study of collaborative multi-agent bandits has attracted significant attention recently. In light of this, we initiate the study of a new collaborative setting, consisting of $N$ agents such that each agent is learning one of $M$…

机器学习 · 计算机科学 2024-07-04 Ronshee Chawla , Daniel Vial , Sanjay Shakkottai , R. Srikant

This paper introduces a novel multi-armed bandits framework, termed Contextual Restless Bandits (CRB), for complex online decision-making. This CRB framework incorporates the core features of contextual bandits and restless bandits, so that…

人工智能 · 计算机科学 2024-03-26 Xin Chen , I-Hong Hou

The multi-armed bandit problem is a classical decision-making problem where an agent has to learn an optimal action balancing exploration and exploitation. Properly managing this trade-off requires a correct assessment of uncertainty; in…

机器学习 · 计算机科学 2020-08-18 Fabio Massimo Zennaro , Audun Jøsang

In several applications such as clinical trials and financial portfolio optimization, the expected value (or the average reward) does not satisfactorily capture the merits of a drug or a portfolio. In such applications, risk plays a crucial…

机器学习 · 统计学 2022-05-13 Vincent Y. F. Tan , Prashanth L. A. , Krishna Jagannathan

The target of $\mathcal{X}$-armed bandit problem is to find the global maximum of an unknown stochastic function $f$, given a finite budget of $n$ evaluations. Recently, $\mathcal{X}$-armed bandits have been widely used in many situations.…

机器学习 · 统计学 2015-10-27 Cheng Chen , Shuang Liu , Zhihua Zhang , Wu-Jun Li

A novel reinforcement learning algorithm is introduced for multiarmed restless bandits with average reward, using the paradigms of Q-learning and Whittle index. Specifically, we leverage the structure of the Whittle index policy to reduce…

机器学习 · 计算机科学 2021-09-22 Konstantin E. Avrachenkov , Vivek S. Borkar