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We study contextual bandits with budget and time constraints, referred to as constrained contextual bandits.The time and budget constraints significantly complicate the exploration and exploitation tradeoff because they introduce complex…

机器学习 · 计算机科学 2015-10-20 Huasen Wu , R. Srikant , Xin Liu , Chong Jiang

We present conservative distributed multi-task learning in stochastic linear contextual bandits with heterogeneous agents. This extends conservative linear bandits to a distributed setting where M agents tackle different but related tasks…

机器学习 · 计算机科学 2025-04-29 Jiabin Lin , Shana Moothedath

With the increasingly widespread application of machine learning, how to strike a balance between protecting the privacy of data and algorithm parameters and ensuring the verifiability of machine learning has always been a challenge. This…

机器学习 · 计算机科学 2024-06-10 Xikun Jiang , He Lyu , Chenhao Ying , Yibin Xu , Boris Düdder , Yuan Luo

Originally motivated by default risk management applications, this paper investigates a novel problem, referred to as the profitable bandit problem here. At each step, an agent chooses a subset of the K possible actions. For each action…

机器学习 · 统计学 2018-05-09 Mastane Achab , Stephan Clémençon , Aurélien Garivier

We consider the setup of stochastic multi-armed bandits in the case when reward distributions are piecewise i.i.d. and bounded with unknown changepoints. We focus on the case when changes happen simultaneously on all arms, and in stark…

机器学习 · 计算机科学 2019-06-10 Subhojyoti Mukherjee , Odalric-Ambrym Maillard

Web-based applications such as chatbots, search engines and news recommendations continue to grow in scale and complexity with the recent surge in the adoption of LLMs. Online model selection has thus garnered increasing attention due to…

机器学习 · 计算机科学 2024-03-13 Yu Xia , Fang Kong , Tong Yu , Liya Guo , Ryan A. Rossi , Sungchul Kim , Shuai Li

Strategic behavior against sequential learning methods, such as "click framing" in real recommendation systems, have been widely observed. Motivated by such behavior we study the problem of combinatorial multi-armed bandits (CMAB) under…

机器学习 · 计算机科学 2021-11-22 Jing Dong , Ke Li , Shuai Li , Baoxiang Wang

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

Sampling from the equilibrium distribution has always been a major problem in molecular simulations due to the very high dimensionality of conformational space. Over several decades, many approaches have been used to overcome the problem.…

计算物理 · 物理学 2020-03-02 Adrià Pérez , Pablo Herrera-Nieto , Stefan Doerr , Gianni De Fabritiis

We consider a stochastic bandit problem with a possibly infinite number of arms. We write $p^*$ for the proportion of optimal arms and $\Delta$ for the minimal mean-gap between optimal and sub-optimal arms. We characterize the optimal…

机器学习 · 计算机科学 2021-11-08 Rianne de Heide , James Cheshire , Pierre Ménard , Alexandra Carpentier

Stochastic programming is often challenged by epistemic uncertainty, where critical probability distributions are poorly characterized or unknown due to a lack of data. To address this, we pioneer a novel framework for stochastic…

最优化与控制 · 数学 2026-05-19 Shixin Liu , Ming Gao , Jian Hu

We study the problem of training an accurate linear regression model by procuring labels from multiple noisy crowd annotators, under a budget constraint. We propose a Bayesian model for linear regression in crowdsourcing and use variational…

机器学习 · 计算机科学 2016-02-01 Divya Padmanabhan , Satyanath Bhat , Dinesh Garg , Shirish Shevade , Y. Narahari

In many fields such as digital marketing, healthcare, finance, and robotics, it is common to have a well-tested and reliable baseline policy running in production (e.g., a recommender system). Nonetheless, the baseline policy is often…

机器学习 · 计算机科学 2020-02-11 Evrard Garcelon , Mohammad Ghavamzadeh , Alessandro Lazaric , Matteo Pirotta

The multi-armed bandit problems have been studied mainly under the measure of expected total reward accrued over a horizon of length $T$. In this paper, we address the issue of risk in multi-armed bandit problems and develop parallel…

机器学习 · 计算机科学 2017-08-16 Sattar Vakili , Qing Zhao

We consider a contextual bandit problem with a combinatorial action set and time-varying base arm availability. At the beginning of each round, the agent observes the set of available base arms and their contexts and then selects an action…

机器学习 · 计算机科学 2025-09-26 Andi Nika , Sepehr Elahi , Cem Tekin

Much of the literature on optimal design of bandit algorithms is based on minimization of expected regret. It is well known that designs that are optimal over certain exponential families can achieve expected regret that grows…

机器学习 · 计算机科学 2024-11-14 Lin Fan , Peter W. Glynn

In multi-armed bandit problems, the typical goal is to identify the arm with the highest reward. This paper explores a threshold-based bandit problem, aiming to select an arm based on its relation to a prescribed threshold \(\tau \). We…

机器学习 · 计算机科学 2025-09-03 Chanakya Varude , Jay Chaudhary , Siddharth Kaushik , Prasanna Chaporkar

This paper considers contextual bandits with a finite number of arms, where the contexts are independent and identically distributed $d$-dimensional random vectors, and the expected rewards are linear in both the arm parameters and…

机器学习 · 统计学 2025-05-07 Yanglei Song , Meng zhou

The multi-armed bandit (MAB) problem is a classic example of the exploration-exploitation dilemma. It is concerned with maximising the total rewards for a gambler by sequentially pulling an arm from a multi-armed slot machine where each arm…

机器学习 · 统计学 2018-05-16 Xue Lu , Niall Adams , Nikolas Kantas

This paper focuses on selecting the arm with the highest variance from a set of $K$ independent arms. Specifically, we focus on two settings: (i) misallocation minimization setting, that penalizes the number of pulls of suboptimal arms in…

机器学习 · 计算机科学 2026-02-18 Sabrina Khurshid , Gourab Ghatak , Mohammad Shahid Abdulla