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We propose algorithms based on a multi-level Thompson sampling scheme, for the stochastic multi-armed bandit and its contextual variant with linear expected rewards, in the setting where arms are clustered. We show, both theoretically and…

机器学习 · 计算机科学 2022-06-16 Emil Carlsson , Devdatt Dubhashi , Fredrik D. Johansson

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 consider the non-stationary multi-armed bandit (MAB) framework and propose a Kolmogorov-Smirnov (KS) test based Thompson Sampling (TS) algorithm named TS-KS, that actively detects change points and resets the TS parameters once a change…

机器学习 · 统计学 2021-10-22 Gourab Ghatak , Hardhik Mohanty , Aniq Ur Rahman

During online decision making in Multi-Armed Bandits (MAB), one needs to conduct inference on the true mean reward of each arm based on data collected so far at each step. However, since the arms are adaptively selected--thereby yielding…

机器学习 · 计算机科学 2021-06-29 Maria Dimakopoulou , Zhimei Ren , Zhengyuan Zhou

The multi-armed bandit (MAB) problem is a classical learning task that exemplifies the exploration-exploitation tradeoff. However, standard formulations do not take into account {\em risk}. In online decision making systems, risk is a…

机器学习 · 计算机科学 2020-08-04 Qiuyu Zhu , Vincent Y. F. Tan

Thompson Sampling algorithm is a well known Bayesian algorithm for solving stochastic multi-armed bandit. At each time step the algorithm chooses each arm with probability proportional to it being the current best arm. We modify the…

机器学习 · 计算机科学 2017-10-09 Qiang Ha

Thompson sampling, a Bayesian method for balancing exploration and exploitation in bandit problems, has theoretical guarantees and exhibits strong empirical performance in many domains. Traditional Thompson sampling, however, assumes…

机器学习 · 计算机科学 2018-12-04 Andrew Stirn , Tony Jebara

Non-stationary multi-armed bandits (NS-MABs) model sequential decision-making problems in which the expected rewards of a set of actions, a.k.a.~arms, evolve over time. In this paper, we fill a gap in the literature by providing a novel…

机器学习 · 统计学 2025-06-17 Marco Fiandri , Alberto Maria Metelli , Francesco Trovò

We address multi-armed bandits (MAB) where the objective is to maximize the cumulative reward under a probabilistic linear constraint. For a few real-world instances of this problem, constrained extensions of the well-known Thompson…

机器学习 · 计算机科学 2020-05-14 Vidit Saxena , Joseph E. Gonzalez , Joakim Jaldén

Stochastic rising rested bandit (SRRB) is a setting where the arms' expected rewards increase as they are pulled. It models scenarios in which the performances of the different options grow as an effect of an underlying learning process…

机器学习 · 统计学 2025-05-21 Marco Fiandri , Alberto Maria Metelli , Francesco Trovò

Recent advances in contextual bandit optimization and reinforcement learning have garnered interest in applying these methods to real-world sequential decision making problems. Real-world applications frequently have constraints with…

机器学习 · 计算机科学 2019-11-05 Samuel Daulton , Shaun Singh , Vashist Avadhanula , Drew Dimmery , Eytan Bakshy

Thompson Sampling (TS) is widely used to address the exploration/exploitation tradeoff in contextual bandits, yet recent theory shows that it does not explore aggressively enough in high-dimensional problems. Feel-Good Thompson Sampling…

机器学习 · 计算机科学 2025-10-27 Emile Anand , Sarah Liaw

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 incentivized exploration: a version of multi-armed bandits where the choice of arms is controlled by self-interested agents, and the algorithm can only issue recommendations. The algorithm controls the flow of information, and…

计算机科学与博弈论 · 计算机科学 2022-06-14 Mark Sellke , Aleksandrs Slivkins

We introduce Stacked Thompson Bandits (STB) for efficiently generating plans that are likely to satisfy a given bounded temporal logic requirement. STB uses a simulation for evaluation of plans, and takes a Bayesian approach to using the…

软件工程 · 计算机科学 2017-03-01 Lenz Belzner , Thomas Gabor

This work proposes a secure and dynamic VM allocation strategy for multi-tenant distributed systems using the Thompson sampling approach. The method proves more effective and secure compared to epsilon-greedy and upper confidence bound…

分布式、并行与集群计算 · 计算机科学 2024-10-08 Pravin Patil , Geetanjali Kale , Tanmay Karmarkar , Ruturaj Ghatage

We consider the problem of statistical inference when the data is collected via a Thompson Sampling-type algorithm. While Thompson Sampling (TS) is known to be both asymptotically optimal and empirically effective, its adaptive sampling…

机器学习 · 统计学 2026-03-17 Budhaditya Halder , Shubhayan Pan , Koulik Khamaru

We study the real-valued combinatorial pure exploration of the multi-armed bandit (R-CPE-MAB) problem. In R-CPE-MAB, a player is given $d$ stochastic arms, and the reward of each arm $s\in\{1, \ldots, d\}$ follows an unknown distribution…

机器学习 · 计算机科学 2023-11-16 Shintaro Nakamura , Masashi Sugiyama

We consider online sequential decision problems where an agent must balance exploration and exploitation. We derive a set of Bayesian `optimistic' policies which, in the stochastic multi-armed bandit case, includes the Thompson sampling…

机器学习 · 统计学 2021-11-01 Brendan O'Donoghue , Tor Lattimore

Offline-to-online learning aims to improve online decision-making by leveraging offline logged data. A central challenge in this setting is the distribution shift between offline and online environments. While some existing works attempt to…

机器学习 · 计算机科学 2026-05-15 Bochao Li , Yao Fu , Wei Chen , Fang Kong