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Autoregressive processes naturally arise in a large variety of real-world scenarios, including stock markets, sales forecasting, weather prediction, advertising, and pricing. When facing a sequential decision-making problem in such a…

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 combinatorial bandits problem, where at each time step, the online learner selects a size-$k$ subset $s$ from the arms set $\mathcal{A}$, where $\left|\mathcal{A}\right| = n$, and observes a stochastic reward of each arm in…

机器学习 · 计算机科学 2021-03-05 Shuo Yang , Tongzheng Ren , Inderjit S. Dhillon , Sujay Sanghavi

Due to the broad range of applications of stochastic multi-armed bandit model, understanding the effects of adversarial attacks and designing bandit algorithms robust to attacks are essential for the safe applications of this model. In this…

机器学习 · 计算机科学 2020-10-28 Guanlin Liu , Lifeng lai

Consider a decision-maker that can pick one out of $K$ actions to control an unknown system, for $T$ turns. The actions are interpreted as different configurations or policies. Holding the same action fixed, the system asymptotically…

机器学习 · 计算机科学 2023-02-28 Siddharth Chandak , Ilai Bistritz , Nicholas Bambos

We study the contextual linear bandit problem, a version of the standard stochastic multi-armed bandit (MAB) problem where a learner sequentially selects actions to maximize a reward which depends also on a user provided per-round context.…

机器学习 · 计算机科学 2018-10-02 Roshan Shariff , Or Sheffet

In many real-world sequential decision-making problems, an action does not immediately reflect on the feedback and spreads its effects over a long time frame. For instance, in online advertising, investing in a platform produces an…

机器学习 · 计算机科学 2023-05-31 Marco Mussi , Alberto Maria Metelli , Marcello Restelli

We study non-linear bandit optimization where the learner maximizes a black-box function with zeroth order function oracle, which has been successfully applied in many critical applications such as drug discovery and materials design.…

机器学习 · 计算机科学 2026-04-22 Zakaria Shams Siam , Chaowen Guan , Chong Liu

We study the stochastic Budgeted Multi-Armed Bandit (MAB) problem, where a player chooses from $K$ arms with unknown expected rewards and costs. The goal is to maximize the total reward under a budget constraint. A player thus seeks to…

机器学习 · 计算机科学 2023-08-16 Marco Heyden , Vadim Arzamasov , Edouard Fouché , Klemens Böhm

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

Reward-biased maximum likelihood estimation (RBMLE) is a classic principle in the adaptive control literature for tackling explore-exploit trade-offs. This paper studies the stochastic contextual bandit problem with general bounded reward…

机器学习 · 计算机科学 2022-05-31 Yu-Heng Hung , Ping-Chun Hsieh

Motivated by applications of bandit algorithms in education, we consider a stochastic multi-armed bandit problem with $\varepsilon$-contaminated rewards. We allow an adversary to give arbitrary unbounded contaminated rewards with full…

机器学习 · 统计学 2020-06-19 Laura Niss , Ambuj Tewari

In this paper, we propose and study opportunistic contextual bandits - a special case of contextual bandits where the exploration cost varies under different environmental conditions, such as network load or return variation in…

机器学习 · 计算机科学 2019-05-29 Xueying Guo , Xiaoxiao Wang , Xin Liu

Many applications require a learner to make sequential decisions given uncertainty regarding both the system's payoff function and safety constraints. In safety-critical systems, it is paramount that the learner's actions do not violate the…

机器学习 · 计算机科学 2020-05-06 Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

We study stage-wise conservative linear stochastic bandits: an instance of bandit optimization, which accounts for (unknown) safety constraints that appear in applications such as online advertising and medical trials. At each stage, the…

机器学习 · 计算机科学 2020-10-02 Ahmadreza Moradipari , Christos Thrampoulidis , Mahnoosh Alizadeh

Online learning to rank (ONL2R) is a foundational problem for recommender systems and has received increasing attention in recent years. Among the existing approaches for ONL2R, a natural modeling architecture is the multi-armed bandit…

机器学习 · 计算机科学 2023-11-09 Tianchen Zhou , Jia Liu , Yang Jiao , Chaosheng Dong , Yetian Chen , Yan Gao , Yi Sun

Learning linear predictors with the logistic loss---both in stochastic and online settings---is a fundamental task in machine learning and statistics, with direct connections to classification and boosting. Existing "fast rates" for this…

机器学习 · 计算机科学 2018-12-17 Dylan J. Foster , Satyen Kale , Haipeng Luo , Mehryar Mohri , Karthik Sridharan

We consider un-discounted reinforcement learning (RL) in Markov decision processes (MDPs) under temporal drifts, ie, both the reward and state transition distributions are allowed to evolve over time, as long as their respective total…

机器学习 · 计算机科学 2020-05-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

We consider the contextual combinatorial bandit setting where in each round, the learning agent, e.g., a recommender system, selects a subset of "arms," e.g., products, and observes rewards for both the individual base arms, which are a…

机器学习 · 计算机科学 2025-04-22 Baran Atalar , Carlee Joe-Wong

We formulate a multi-armed bandit (MAB) approach to choosing expert policies online in Markov decision processes (MDPs). Given a set of expert policies trained on a state and action space, the goal is to maximize the cumulative reward of…

系统与控制 · 计算机科学 2017-07-19 Eric Mazumdar , Roy Dong , Vicenç Rúbies Royo , Claire Tomlin , S. Shankar Sastry