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The problem of two-sided matching markets has a wide range of real-world applications and has been extensively studied in the literature. A line of recent works have focused on the problem setting where the preferences of one-side market…

机器学习 · 计算机科学 2022-05-03 Fang Kong , Junming Yin , Shuai Li

Thompson Sampling provides an efficient technique to introduce prior knowledge in the multi-armed bandit problem, along with providing remarkable empirical performance. In this paper, we revisit the Thompson Sampling algorithm under rewards…

机器学习 · 计算机科学 2019-12-09 Abhimanyu Dubey , Alex Pentland

We investigate stochastic combinatorial semi-bandits, where the entire joint distribution of outcomes impacts the complexity of the problem instance (unlike in the standard bandits). Typical distributions considered depend on specific…

机器学习 · 统计学 2026-04-16 Pierre Perrault , Vianney Perchet , Michal Valko

Thompson sampling (TS) is widely used in sequential decision making due to its ease of use and appealing empirical performance. However, many existing analytical and empirical results for TS rely on restrictive assumptions on reward…

机器学习 · 计算机科学 2023-06-16 Amin Karbasi , Nikki Lijing Kuang , Yi-An Ma , Siddharth Mitra

Thompson Sampling (TS) is one of the most effective algorithms for solving contextual multi-armed bandit problems. In this paper, we propose a new algorithm, called Neural Thompson Sampling, which adapts deep neural networks for both…

机器学习 · 计算机科学 2022-01-03 Weitong Zhang , Dongruo Zhou , Lihong Li , Quanquan Gu

The multi-armed bandit (MAB) problem is a ubiquitous decision-making problem that exemplifies the exploration-exploitation tradeoff. Standard formulations exclude risk in decision making. Risk notably complicates the basic reward-maximising…

机器学习 · 计算机科学 2021-02-05 Joel Q. L. Chang , Qiuyu Zhu , Vincent Y. F. Tan

In this paper, we study the combinatorial semi-bandits (CMAB) and focus on reducing the dependency of the batch-size $K$ in the regret bound, where $K$ is the total number of arms that can be pulled or triggered in each round. First, for…

机器学习 · 计算机科学 2024-11-19 Xutong Liu , Jinhang Zuo , Siwei Wang , Carlee Joe-Wong , John C. S. Lui , Wei Chen

The literature on bandit learning and regret analysis has focused on contexts where the goal is to converge on an optimal action in a manner that limits exploration costs. One shortcoming imposed by this orientation is that it does not…

机器学习 · 计算机科学 2017-05-01 Daniel Russo , David Tse , Benjamin Van Roy

We study multi-armed bandit problems with graph feedback, in which the decision maker is allowed to observe the neighboring actions of the chosen action, in a setting where the graph may vary over time and is never fully revealed to the…

机器学习 · 统计学 2018-05-24 Fang Liu , Zizhan Zheng , Ness Shroff

We study the problem of regret minimization in a multi-armed bandit setup where the agent is allowed to play multiple arms at each round by spreading the resources usually allocated to only one arm. At each iteration the agent selects a…

机器学习 · 计算机科学 2021-06-01 Matias I. Müller , Cristian R. Rojas

In this paper we study a multi-arm bandit problem in which the quality of each arm is measured by the Conditional Value at Risk (CVaR) at some level alpha of the reward distribution. While existing works in this setting mainly focus on…

机器学习 · 计算机科学 2022-03-22 Dorian Baudry , Romain Gautron , Emilie Kaufmann , Odalric-Ambryn Maillard

Contextual dueling bandits, where a learner compares two options based on context and receives feedback indicating which was preferred, extends classic dueling bandits by incorporating contextual information for decision-making and…

机器学习 · 计算机科学 2024-04-10 Xuheng Li , Heyang Zhao , Quanquan Gu

The design and performance analysis of bandit algorithms in the presence of stage-wise safety or reliability constraints has recently garnered significant interest. In this work, we consider the linear stochastic bandit problem under…

机器学习 · 计算机科学 2020-03-03 Ahmadreza Moradipari , Sanae Amani , Mahnoosh Alizadeh , Christos Thrampoulidis

We study Thompson Sampling-based algorithms for stochastic bandits with bounded rewards. As the existing problem-dependent regret bound for Thompson Sampling with Gaussian priors [Agrawal and Goyal, 2017] is vacuous when $T \le 288 e^{64}$,…

机器学习 · 计算机科学 2024-05-03 Bingshan Hu , Zhiming Huang , Tianyue H. Zhang , Mathias Lécuyer , Nidhi Hegde

We consider combinatorial semi-bandits over a set of arms ${\cal X} \subset \{0,1\}^d$ where rewards are uncorrelated across items. For this problem, the algorithm ESCB yields the smallest known regret bound $R(T) = {\cal O}\Big( {d (\ln…

机器学习 · 统计学 2021-01-14 Thibaut Cuvelier , Richard Combes , Eric Gourdin

Thompson sampling (TS) has been known for its outstanding empirical performance supported by theoretical guarantees across various reward models in the classical stochastic multi-armed bandit problems. Nonetheless, its optimality is often…

机器学习 · 计算机科学 2023-12-14 Jongyeong Lee , Chao-Kai Chiang , Masashi Sugiyama

We consider the adversarial combinatorial multi-armed bandit (CMAB) problem, whose decision set can be exponentially large with respect to the number of given arms. To avoid dealing with such large decision sets directly, we propose an…

数据结构与算法 · 计算机科学 2017-07-27 Shinsaku Sakaue , Masakazu Ishihata , Shin-ichi Minato

We define a general framework for a large class of combinatorial multi-armed bandit (CMAB) problems, where subsets of base arms with unknown distributions form super arms. In each round, a super arm is played and the base arms contained in…

机器学习 · 计算机科学 2016-03-30 Wei Chen , Yajun Wang , Yang Yuan , Qinshi Wang

We study the problem of online multi-task learning where the tasks are performed within similar but not necessarily identical multi-armed bandit environments. In particular, we study how a learner can improve its overall performance across…

机器学习 · 计算机科学 2022-06-20 Zhi Wang , Chicheng Zhang , Kamalika Chaudhuri

We consider the multi armed bandit problem in non-stationary environments. Based on the Bayesian method, we propose a variant of Thompson Sampling which can be used in both rested and restless bandit scenarios. Applying discounting to the…

机器学习 · 统计学 2017-08-01 Vishnu Raj , Sheetal Kalyani