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We consider the problem of the best arm identification in the presence of stochastic constraints, where there is a finite number of arms associated with multiple performance measures. The goal is to identify the arm that optimizes the…

Machine Learning · Computer Science 2025-01-08 Le Yang , Siyang Gao , Cheng Li , Yi Wang

This dissertation is a study on the design and analysis of novel, optimal routing and rate control algorithms in wireless, mobile communication networks. Congestion control and routing algorithms upto now have been designed and optimized…

Networking and Internet Architecture · Computer Science 2012-01-20 Jung Ryu

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…

Machine Learning · Statistics 2018-05-24 Fang Liu , Zizhan Zheng , Ness Shroff

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…

Machine Learning · Computer Science 2022-01-03 Weitong Zhang , Dongruo Zhou , Lihong Li , Quanquan Gu

This paper describes a sequential, or online, learning scheme for adaptive radar transmissions that facilitate spectrum sharing with a non-cooperative cellular network. First, the interference channel between the radar and a spatially…

Information Theory · Computer Science 2020-08-25 Charles E. Thornton , R. Michael Buehrer , Anthony F. Martone

Thompson Sampling is one of the oldest heuristics for multi-armed bandit problems. It is a randomized algorithm based on Bayesian ideas, and has recently generated significant interest after several studies demonstrated it to have better…

Machine Learning · Computer Science 2012-09-18 Shipra Agrawal , Navin Goyal

Multi-armed Bandit (MAB) algorithms identify the best arm among multiple arms via exploration-exploitation trade-off without prior knowledge of arm statistics. Their usefulness in wireless radio, IoT, and robotics demand deployment on edge…

Systems and Control · Electrical Eng. & Systems 2021-06-08 S. V. Sai Santosh , Sumit J. Darak

We derive an alternative proof for the regret of Thompson sampling (\ts) in the stochastic linear bandit setting. While we obtain a regret bound of order $\widetilde{O}(d^{3/2}\sqrt{T})$ as in previous results, the proof sheds new light on…

Machine Learning · Statistics 2019-11-06 Marc Abeille , Alessandro Lazaric

We consider a finite-horizon multi-armed bandit (MAB) problem in a Bayesian setting, for which we propose an information relaxation sampling framework. With this framework, we define an intuitive family of control policies that include…

Machine Learning · Computer Science 2021-06-17 Seungki Min , Costis Maglaras , Ciamac C. Moallemi

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…

Machine Learning · Computer Science 2021-02-05 Joel Q. L. Chang , Qiuyu Zhu , Vincent Y. F. Tan

Next-generation wireless services are characterized by a diverse set of requirements, to sustain which, the wireless access points need to probe the users in the network periodically. In this regard, we study a novel multi-armed bandit…

Machine Learning · Computer Science 2022-11-28 Gourab Ghatak

We consider a rate-constrained contextual multi-armed bandit (RC-CMAB) problem, in which a group of agents are solving the same contextual multi-armed bandit (CMAB) problem. However, the contexts are observed by a remotely connected entity,…

Machine Learning · Computer Science 2022-04-28 Francesco Pase , Deniz Gündüz , Michele Zorzi

This paper focuses on the problem of automatic link selection in multi-channel multiple access control using bandit feedback. In particular, a controller assigns multiple users to multiple channels in a time-slotted system, where in each…

Systems and Control · Electrical Eng. & Systems 2026-03-09 Mevan Wijewardena , Michael J. Neely , Haipeng Luo

The beam alignment (BA) problem consists in accurately aligning the transmitter and receiver beams to establish a reliable communication link in wireless communication systems. Existing BA methods search the entire beam space to identify…

Information Theory · Computer Science 2022-10-25 Yi Wei , Zixin Zhong , Vincent Y. F. Tan

In this paper, we study the application of the Thompson sampling (TS) methodology to the stochastic combinatorial multi-armed bandit (CMAB) framework. We first analyze the standard TS algorithm for the general CMAB model when the outcome…

Machine Learning · Computer Science 2022-06-22 Siwei Wang , Wei Chen

Backscattering assisted wireless-powered communication combines ultralow-power backscatter transmitters with energy harvesting devices. This paper investigates the transmission mode selection problem of a hybrid relay that forwards data by…

Networking and Internet Architecture · Computer Science 2020-05-15 Guangxia Li , Xiao Lu , Dusit Niyato

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…

Machine Learning · Computer Science 2020-08-04 Qiuyu Zhu , Vincent Y. F. Tan

In this paper we propose a general methodology to derive regret bounds for randomized multi-armed bandit algorithms. It consists in checking a set of sufficient conditions on the sampling probability of each arm and on the family of…

Machine Learning · Computer Science 2024-11-14 Dorian Baudry , Kazuya Suzuki , Junya Honda

In settings where the application of reinforcement learning (RL) requires running real-world trials, including the optimization of adaptive health interventions, the number of episodes available for learning can be severely limited due to…

Machine Learning · Computer Science 2024-12-03 Karine Karine , Susan A. Murphy , Benjamin M. Marlin

We study the process-level dynamics of Thompson sampling and related sampling-based bandit algorithms in the ``small gap'' regime, where the gaps between the arm means are of order $\sqrt{\gamma}$ or smaller and the time horizon is of order…

Machine Learning · Computer Science 2026-04-23 Lin Fan , Peter W. Glynn