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We consider a novel stochastic multi-armed bandit setting, where playing an arm makes it unavailable for a fixed number of time slots thereafter. This models situations where reusing an arm too often is undesirable (e.g. making the same…

机器学习 · 计算机科学 2024-07-31 Soumya Basu , Rajat Sen , Sujay Sanghavi , Sanjay Shakkottai

Many applications require optimizing an unknown, noisy function that is expensive to evaluate. We formalize this task as a multi-armed bandit problem, where the payoff function is either sampled from a Gaussian process (GP) or has low RKHS…

机器学习 · 计算机科学 2015-03-13 Niranjan Srinivas , Andreas Krause , Sham M. Kakade , Matthias Seeger

We consider the sequential Bayesian optimization problem with bandit feedback, adopting a formulation that allows for the reward function to vary with time. We model the reward function using a Gaussian process whose evolution obeys a…

机器学习 · 统计学 2016-01-26 Ilija Bogunovic , Jonathan Scarlett , Volkan Cevher

Upper Confidence Bound (UCB) is arguably the most commonly used method for linear multi-arm bandit problems. While conceptually and computationally simple, this method highly relies on the confidence bounds, failing to strike the optimal…

机器学习 · 计算机科学 2020-06-05 Kaige Yang , Laura Toni

We consider a budget-constrained bandit problem where each arm pull incurs a random cost, and yields a random reward in return. The objective is to maximize the total expected reward under a budget constraint on the total cost. The model is…

机器学习 · 计算机科学 2020-03-03 Semih Cayci , Atilla Eryilmaz , R. Srikant

This paper considers a multi-armed bandit (MAB) problem in which multiple mobile agents receive rewards by sampling from a collection of spatially dispersed stochastic processes, called bandits. The goal is to formulate a decentralized…

机器学习 · 计算机科学 2020-04-01 Pathmanathan Pankayaraj , D. H. S. Maithripala , J. M. Berg

We study the nonstationary stochastic Multi-Armed Bandit (MAB) problem in which the distribution of rewards associated with each arm are assumed to be time-varying and the total variation in the expected rewards is subject to a variation…

机器学习 · 计算机科学 2021-01-25 Lai Wei , Vaibhav Srivastava

This paper presents a class of Dynamic Multi-Armed Bandit problems where the reward can be modeled as the noisy output of a time varying linear stochastic dynamic system that satisfies some boundedness constraints. The class allows many…

机器学习 · 计算机科学 2017-10-10 T. W. U. Madhushani , D. H. S. Maithripala , N. E. Leonard

Heavy-tailed distributions naturally arise in several settings, from finance to telecommunications. While regret minimization under subgaussian or bounded rewards has been widely studied, learning with heavy-tailed distributions only gained…

机器学习 · 计算机科学 2024-02-13 Gianmarco Genalti , Lupo Marsigli , Nicola Gatti , Alberto Maria Metelli

We present a new type of acquisition functions for online decision making in multi-armed and contextual bandit problems with extreme payoffs. Specifically, we model the payoff function as a Gaussian process and formulate a novel type of…

机器学习 · 计算机科学 2022-10-12 Yibo Yang , Antoine Blanchard , Themistoklis Sapsis , Paris Perdikaris

We consider a multi-armed bandit framework where the rewards obtained by pulling different arms are correlated. We develop a unified approach to leverage these reward correlations and present fundamental generalizations of classic bandit…

机器学习 · 统计学 2021-09-13 Samarth Gupta , Shreyas Chaudhari , Gauri Joshi , Osman Yağan

We provide a simple method to combine stochastic bandit algorithms. Our approach is based on a "meta-UCB" procedure that treats each of $N$ individual bandit algorithms as arms in a higher-level $N$-armed bandit problem that we solve with a…

机器学习 · 计算机科学 2020-12-25 Ashok Cutkosky , Abhimanyu Das , Manish Purohit

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

We study the piecewise stationary combinatorial semi-bandit problem with causally related rewards. In our nonstationary environment, variations in the base arms' distributions, causal relationships between rewards, or both, change the…

机器学习 · 计算机科学 2023-07-27 Behzad Nourani-Koliji , Steven Bilaj , Amir Rezaei Balef , Setareh Maghsudi

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

We generalize the multiple-play multi-armed bandits (MP-MAB) problem with a shareable arm setting, in which several plays can share the same arm. Furthermore, each shareable arm has a finite reward capacity and a ''per-load'' reward…

机器学习 · 计算机科学 2022-06-20 Xuchuang Wang , Hong Xie , John C. S. Lui

Many sequential decision-making problems in communication networks can be modeled as contextual bandit problems, which are natural extensions of the well-known multi-armed bandit problem. In contextual bandit problems, at each time, an…

机器学习 · 计算机科学 2016-05-10 Pranav Sakulkar , Bhaskar Krishnamachari

We study the stochastic contextual bandit problem, where the reward is generated from an unknown function with additive noise. No assumption is made about the reward function other than boundedness. We propose a new algorithm, NeuralUCB,…

机器学习 · 计算机科学 2020-07-03 Dongruo Zhou , Lihong Li , Quanquan Gu

Multi-armed bandit algorithms provide solutions for sequential decision-making where learning takes place by interacting with the environment. In this work, we model a distributed optimization problem as a multi-agent kernelized multi-armed…

机器学习 · 计算机科学 2023-12-11 Ayush Rai , Shaoshuai Mou

We analyze the $K$-armed bandit problem where the reward for each arm is a noisy realization based on an observed context under mild nonparametric assumptions. We attain tight results for top-arm identification and a sublinear regret of…

机器学习 · 计算机科学 2018-01-08 Melody Y. Guan , Heinrich Jiang