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We investigate the problem of stochastic, combinatorial multi-armed bandits where the learner only has access to bandit feedback and the reward function can be non-linear. We provide a general framework for adapting discrete offline…

机器学习 · 计算机科学 2023-10-13 Guanyu Nie , Yididiya Y Nadew , Yanhui Zhu , Vaneet Aggarwal , Christopher John Quinn

We consider a linear stochastic bandit problem involving $M$ agents that can collaborate via a central server to minimize regret. A fraction $\alpha$ of these agents are adversarial and can act arbitrarily, leading to the following tension:…

机器学习 · 计算机科学 2022-06-08 Aritra Mitra , Arman Adibi , George J. Pappas , Hamed Hassani

We study the problem of nonstochastic bandits with expert advice, extending the setting from finitely many experts to any countably infinite set: A learner aims to maximize the total reward by taking actions sequentially based on bandit…

机器学习 · 计算机科学 2021-03-29 X. Flora Meng , Tuhin Sarkar , Munther A. Dahleh

Out of the rich family of generalized linear bandits, perhaps the most well studied ones are logisitc bandits that are used in problems with binary rewards: for instance, when the learner/agent tries to maximize the profit over a user that…

机器学习 · 计算机科学 2021-03-23 Sanae Amani , Christos Thrampoulidis

We study the linear contextual bandit problem with finite action sets. When the problem dimension is $d$, the time horizon is $T$, and there are $n \leq 2^{d/2}$ candidate actions per time period, we (1) show that the minimax expected…

机器学习 · 统计学 2020-08-20 Yingkai Li , Yining Wang , Yuan Zhou

In this work, we investigate the problem of adapting to the presence or absence of causal structure in multi-armed bandit problems. In addition to the usual reward signal, we assume the learner has access to additional variables, observed…

机器学习 · 计算机科学 2024-07-02 Ziyi Liu , Idan Attias , Daniel M. Roy

We study online learning in constrained Markov decision processes (CMDPs) in which rewards and constraints may be either stochastic or adversarial. In such settings, Stradi et al.(2024) proposed the first best-of-both-worlds algorithm able…

机器学习 · 计算机科学 2025-02-10 Francesco Emanuele Stradi , Anna Lunghi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We consider the stochastic linear (multi-armed) contextual bandit problem with the possibility of hidden simple multi-armed bandit structure in which the rewards are independent of the contextual information. Algorithms that are designed…

机器学习 · 统计学 2020-10-07 Niladri S. Chatterji , Vidya Muthukumar , Peter L. Bartlett

We consider the linear contextual bandit problem with resource consumption, in addition to reward generation. In each round, the outcome of pulling an arm is a reward as well as a vector of resource consumptions. The expected values of…

机器学习 · 计算机科学 2016-07-12 Shipra Agrawal , Nikhil R. Devanur

We present the first high-probability optimal regret bound for a policy optimization technique applied to the problem of stochastic contextual multi-armed bandit (CMAB) with general offline function approximation. Our algorithm is both…

机器学习 · 计算机科学 2026-02-17 Orin Levy , Yishay Mansour

Bandit algorithms have been predominantly analyzed in the convex setting with function-value based stationary regret as the performance measure. In this paper, motivated by online reinforcement learning problems, we propose and analyze…

机器学习 · 统计学 2019-09-12 Abhishek Roy , Krishnakumar Balasubramanian , Saeed Ghadimi , Prasant Mohapatra

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 constraints, and then observes stochastic weights of these items and receives their sum as…

机器学习 · 计算机科学 2017-06-08 Branislav Kveton , Zheng Wen , Azin Ashkan , Csaba Szepesvari

This paper investigates the problem of non-stationary linear bandits, where the unknown regression parameter is evolving over time. Existing studies develop various algorithms and show that they enjoy an…

机器学习 · 计算机科学 2021-12-23 Peng Zhao , Lijun Zhang , Yuan Jiang , Zhi-Hua Zhou

One of the primary challenges in large-scale distributed learning stems from stringent communication constraints. While several recent works address this challenge for static optimization problems, sequential decision-making under…

机器学习 · 计算机科学 2022-03-03 Aritra Mitra , Hamed Hassani , George J. Pappas

We consider a contextual version of multi-armed bandit problem with global knapsack constraints. In each round, the outcome of pulling an arm is a scalar reward and a resource consumption vector, both dependent on the context, and the…

机器学习 · 计算机科学 2016-07-12 Shipra Agrawal , Nikhil R. Devanur , Lihong Li

We consider the problem of model selection for two popular stochastic linear bandit settings, and propose algorithms that adapts to the unknown problem complexity. In the first setting, we consider the $K$ armed mixture bandits, where the…

机器学习 · 统计学 2020-06-17 Avishek Ghosh , Abishek Sankararaman , Kannan Ramchandran

We consider a multi-armed bandit problem where payoffs are a linear function of an observed stochastic contextual variable. In the scenario where there exists a gap between optimal and suboptimal rewards, several algorithms have been…

数据结构与算法 · 计算机科学 2014-07-08 José Bento , Stratis Ioannidis , S. Muthukrishnan , Jinyun Yan

We study the stochastic multi-armed bandit problem and design new policies that enjoy both worst-case optimality for expected regret and light-tailed risk for regret distribution. Specifically, our policy design (i) enjoys the worst-case…

机器学习 · 统计学 2024-07-23 David Simchi-Levi , Zeyu Zheng , Feng Zhu

In this paper, we consider a best action identification problem in the stochastic linear bandit setup with a fixed confident constraint. In the considered best action identification problem, instead of minimizing the accumulative regret as…

机器学习 · 计算机科学 2018-12-04 Jun Geng , Lifeng Lai

We propose a black-box reduction that turns a certain reinforcement learning algorithm with optimal regret in a (near-)stationary environment into another algorithm with optimal dynamic regret in a non-stationary environment, importantly…

机器学习 · 计算机科学 2021-09-07 Chen-Yu Wei , Haipeng Luo