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We consider the classic online learning and stochastic multi-armed bandit (MAB) problems, when at each step, the online policy can probe and find out which of a small number ($k$) of choices has better reward (or loss) before making its…

数据结构与算法 · 计算机科学 2022-11-08 Aditya Bhaskara , Sreenivas Gollapudi , Sungjin Im , Kostas Kollias , Kamesh Munagala

We study the problem of identifying the top $m$ arms in a multi-armed bandit game. Our proposed solution relies on a new algorithm based on successive rejects of the seemingly bad arms, and successive accepts of the good ones. This…

机器学习 · 计算机科学 2012-05-16 Sébastien Bubeck , Tengyao Wang , Nitin Viswanathan

We study the problem of identifying the best arm in a multi-armed bandit environment when each arm is a time-homogeneous and ergodic discrete-time Markov process on a common, finite state space. The state evolution on each arm is governed…

机器学习 · 统计学 2022-03-30 P. N. Karthik , Kota Srinivas Reddy , Vincent Y. F. Tan

An exciting frontier in robotic manipulation is the use of multiple arms at once. However, planning concurrent motions is a challenging task using current methods. The high-dimensional composite state space renders many well-known motion…

机器人学 · 计算机科学 2024-04-02 Yorai Shaoul , Itamar Mishani , Maxim Likhachev , Jiaoyang Li

This paper studies a class of constrained restless multi-armed bandits (CRMAB). The constraints are in the form of time varying set of actions (set of available arms). This variation can be either stochastic or semi-deterministic. Given a…

系统与控制 · 计算机科学 2021-09-07 Kesav Kaza , Rahul Meshram , Varun Mehta , S. N. Merchant

We introduce the safe linear stochastic bandit framework---a generalization of linear stochastic bandits---where, in each stage, the learner is required to select an arm with an expected reward that is no less than a predetermined (safe)…

机器学习 · 统计学 2019-11-22 Kia Khezeli , Eilyan Bitar

We consider the problem of model selection for two popular stochastic linear bandit settings, and propose algorithms that adapts to the unknown problem complexity. In the first setting, we consider the $K$ armed mixture bandits, where the…

机器学习 · 统计学 2020-06-17 Avishek Ghosh , Abishek Sankararaman , Kannan Ramchandran

For a wireless avionics communication system, a Multi-arm bandit game is mathematically formulated, which includes channel states, strategies, and rewards. The simple case includes only two agents sharing the spectrum which is fully studied…

信号处理 · 电气工程与系统科学 2017-11-15 Jingyang Lu , Lun Li , Dan Shen , Genshe Chen , Bin Jia , Erik Blasch , Khanh Pham

In this paper, we study a best arm identification problem with dual objects. In addition to the classic reward, each arm is associated with a cost distribution and the goal is to identify the largest reward arm using the minimum expected…

机器学习 · 计算机科学 2024-07-02 Kellen Kanarios , Qining Zhang , Lei Ying

This paper studies the problem of adaptively sampling from K distributions (arms) in order to identify the largest gap between any two adjacent means. We call this the MaxGap-bandit problem. This problem arises naturally in approximate…

机器学习 · 统计学 2019-06-04 Sumeet Katariya , Ardhendu Tripathy , Robert Nowak

Motivated by wireless networks where interference or channel state estimates provide partial insight into throughput, we study a variant of the classical stochastic multi-armed bandit problem in which the learner has limited access to…

机器学习 · 计算机科学 2026-03-03 Arun Verma , Manjesh Kumar Hanawal , Arun Rajkumar

Social learning is learning through the observation of or interaction with other individuals; it is critical in the understanding of the collective behaviors of humans in social physics. We study the learning process of agents in a restless…

物理与社会 · 物理学 2020-12-01 Kazuaki Nakayama , Ryuzo Nakamura , Masato Hisakado , Shintaro Mori

We consider the Multi-Armed Bandit (MAB) problem, where an agent sequentially chooses actions and observes rewards for the actions it took. While the majority of algorithms try to minimize the regret, i.e., the cumulative difference between…

机器学习 · 计算机科学 2021-09-14 Nadav Merlis , Shie Mannor

In this paper we investigate the problem of stochastic multi-armed bandits (MAB) in the (local) differential privacy (DP/LDP) model. Unlike previous results that assume bounded/sub-Gaussian reward distributions, we focus on the setting…

机器学习 · 计算机科学 2022-03-25 Youming Tao , Yulian Wu , Peng Zhao , Di Wang

We consider a stochastic bandit problem with countably many arms that belong to a finite set of types, each characterized by a unique mean reward. In addition, there is a fixed distribution over types which sets the proportion of each type…

机器学习 · 计算机科学 2021-05-25 Anand Kalvit , Assaf Zeevi

This paper studies a new variant of the stochastic multi-armed bandits problem where auxiliary information about the arm rewards is available in the form of control variates. In many applications like queuing and wireless networks, the arm…

机器学习 · 计算机科学 2022-01-19 Arun Verma , Manjesh K. Hanawal

Learning preferences implicit in the choices humans make is a well studied problem in both economics and computer science. However, most work makes the assumption that humans are acting (noisily) optimally with respect to their preferences.…

机器学习 · 计算机科学 2019-01-28 Lawrence Chan , Dylan Hadfield-Menell , Siddhartha Srinivasa , Anca Dragan

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

A matching platform is a system that matches different types of participants, such as companies and job-seekers. In such a platform, merely maximizing the number of matches can result in matches being concentrated on highly popular…

机器学习 · 计算机科学 2026-03-10 Yuki Shibukawa , Koichi Tanaka , Yuta Saito , Shinji Ito

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…

系统与控制 · 电气工程与系统科学 2021-06-08 S. V. Sai Santosh , Sumit J. Darak