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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

We study an important variant of the stochastic multi-armed bandit (MAB) problem, which takes penalization into consideration. Instead of directly maximizing cumulative expected reward, we need to balance between the total reward and…

机器学习 · 统计学 2022-11-16 Guanhua Fang , Ping Li , Gennady Samorodnitsky

We study the multi-armed bandit (MAB) problem with composite and anonymous feedback. In this model, the reward of pulling an arm spreads over a period of time (we call this period as reward interval) and the player receives partial rewards…

机器学习 · 计算机科学 2020-12-16 Siwei Wang , Haoyun Wang , Longbo Huang

We study a variant of the classical stochastic $K$-armed bandit where observing the outcome of each arm is expensive, but cheap approximations to this outcome are available. For example, in online advertising the performance of an ad can be…

机器学习 · 计算机科学 2016-11-01 Kirthevasan Kandasamy , Gautam Dasarathy , Jeff Schneider , Barnabás Póczos

We develop asymptotically optimal policies for the multi armed bandit (MAB), problem, under a cost constraint. This model is applicable in situations where each sample (or activation) from a population (bandit) incurs a known bandit…

机器学习 · 统计学 2015-12-18 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

The multi-armed bandit (MAB) model is one of the most classical models to study decision-making in an uncertain environment. In this model, a player chooses one of $K$ possible arms of a bandit machine to play at each time step, where the…

机器学习 · 计算机科学 2023-06-13 Bo Li , Chi Ho Yeung

This paper investigates the problem of regret minimization for multi-armed bandit (MAB) problems with local differential privacy (LDP) guarantee. In stochastic bandit systems, the rewards may refer to the users' activities, which may…

机器学习 · 计算机科学 2020-07-08 Wenbo Ren , Xingyu Zhou , Jia Liu , Ness B. Shroff

We study the non-stationary stochastic multiarmed bandit (MAB) problem and propose two generic algorithms, namely, the limited memory deterministic sequencing of exploration and exploitation (LM-DSEE) and the Sliding-Window Upper Confidence…

机器学习 · 统计学 2018-04-25 Lai Wei , Vaibhav Srivastava

We establish an asymptotic framework for the statistical analysis of the stochastic contextual multi-armed bandit problem (CMAB), which is widely employed in adaptively randomized experiments across various fields. While algorithms for…

计量经济学 · 经济学 2025-05-21 Ramon van den Akker , Bas J. M. Werker , Bo Zhou

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

最优化与控制 · 数学 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied

Reinforcement Learning (RL) is a widely researched area in artificial intelligence that focuses on teaching agents decision-making through interactions with their environment. A key subset includes stochastic multi-armed bandit (MAB) and…

机器学习 · 统计学 2025-02-20 Pengjie Zhou , Haoyu Wei , Huiming Zhang

A general framework of personalized federated multi-armed bandits (PF-MAB) is proposed, which is a new bandit paradigm analogous to the federated learning (FL) framework in supervised learning and enjoys the features of FL with…

机器学习 · 计算机科学 2021-02-26 Chengshuai Shi , Cong Shen , Jing Yang

We develop a novel and generic algorithm for the adversarial multi-armed bandit problem (or more generally the combinatorial semi-bandit problem). When instantiated differently, our algorithm achieves various new data-dependent regret…

机器学习 · 计算机科学 2018-06-08 Chen-Yu Wei , Haipeng Luo

Multi-armed bandit (MAB) problems are widely applied to online optimization tasks that require balancing exploration and exploitation. In practical scenarios, these tasks often involve multiple conflicting objectives, giving rise to…

机器学习 · 计算机科学 2025-06-17 Mansoor Davoodi , Setareh Maghsudi

Meta-learning is characterized by its ability to learn how to learn, enabling the adaptation of learning strategies across different tasks. Recent research introduced the Meta-Thompson Sampling (Meta-TS), which meta-learns an unknown prior…

机器学习 · 统计学 2024-09-12 Hao Li , Dong Liang , Zheng Xie

We propose a novel technique for analyzing adaptive sampling called the {\em Simulator}. Our approach differs from the existing methods by considering not how much information could be gathered by any fixed sampling strategy, but how…

机器学习 · 计算机科学 2023-04-25 Max Simchowitz , Kevin Jamieson , Benjamin Recht

We introduce Flickering Multi-Armed Bandits (FMAB) to model sequential decision-making in environments with changing action availability, where accessibility of the next action is restricted to a subset dependent on the agent's current…

机器学习 · 计算机科学 2026-04-28 Sourav Chakraborty , Amit Kiran Rege , Claire Monteleoni , Lijun Chen

Recognizing implicit visual and textual patterns is essential in many real-world applications of modern AI. However, tackling long-tail pattern recognition tasks remains challenging for current pre-trained foundation models such as LLMs and…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Minxue Tang , Yangyang Yu , Aolin Ding , Maziyar Baran Pouyan , Taha Belkhouja , Yujia Bao

The stochastic multi-armed bandit model is a simple abstraction that has proven useful in many different contexts in statistics and machine learning. Whereas the achievable limit in terms of regret minimization is now well known, our aim is…

机器学习 · 统计学 2016-11-15 Emilie Kaufmann , Olivier Cappé , Aurélien Garivier

Traditional multi-armed bandit (MAB) formulations usually make certain assumptions about the underlying arms' distributions, such as bounds on the support or their tail behaviour. Moreover, such parametric information is usually 'baked'…

机器学习 · 计算机科学 2022-03-29 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan