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Contextual Bandits is one of the widely popular techniques used in applications such as personalization, recommendation systems, mobile health, causal marketing etc . As a dynamic approach, it can be more efficient than standard A/B testing…

Machine Learning · Computer Science 2022-02-03 Praneet Dutta , Joe Cheuk , Jonathan S Kim , Massimo Mascaro

We consider a general multi-armed bandit problem with correlated (and simple contextual and restless) elements, as a relaxed control problem. By introducing an entropy regularisation, we obtain a smooth asymptotic approximation to the value…

Optimization and Control · Mathematics 2022-09-07 Samuel N. Cohen , Tanut Treetanthiploet

Reinforcement learning (RL) algorithms based on high-dimensional function approximation have achieved tremendous empirical success in large-scale problems with an enormous number of states. However, most analysis of such algorithms gives…

Machine Learning · Computer Science 2022-02-17 Jihao Long , Jiequn Han , Weinan E

Quantum multi-armed bandits (MAB) and stochastic linear bandits (SLB) have recently attracted significant attention, as their quantum counterparts can achieve quadratic speedups over classical MAB and SLB. However, most existing quantum MAB…

Machine Learning · Computer Science 2026-03-20 Zhuoyue Chen , Kechao Cai

Restless multi-armed bandits (RMABs) are a popular framework for algorithmic decision making in sequential settings with limited resources. RMABs are increasingly being used for sensitive decisions such as in public health, treatment…

Machine Learning · Computer Science 2023-08-22 Jackson A. Killian , Manish Jain , Yugang Jia , Jonathan Amar , Erich Huang , Milind Tambe

We study the finite-horizon Restless Multi-Armed Bandit (RMAB) problem with $N$ homogeneous arms. Prior work has shown that when an RMAB satisfies a non-degeneracy condition, Linear-Programming-based (LP-based) policies derived from the…

Optimization and Control · Mathematics 2025-05-27 Chen Yan , Weina Wang , Lei Ying

We propose a policy improvement algorithm for Reinforcement Learning (RL) which is called Rerouted Behavior Improvement (RBI). RBI is designed to take into account the evaluation errors of the Q-function. Such errors are common in RL when…

Machine Learning · Computer Science 2019-07-12 Elad Sarafian , Aviv Tamar , Sarit Kraus

We consider a policy gradient algorithm applied to a finite-arm bandit problem with Bernoulli rewards. We allow learning rates to depend on the current state of the algorithm, rather than use a deterministic time-decreasing learning rate.…

Machine Learning · Computer Science 2021-09-24 Denis Denisov , Neil Walton

While reinforcement learning algorithms have made significant progress in solving multi-armed bandit problems, they often lack biological plausibility in architecture and dynamics. Here, we propose a bio-inspired neural model based on…

Neurons and Cognition · Quantitative Biology 2025-09-29 Krubeal Danieli , Mikkel Elle Lepperød

In this work, we present the first finite-time analysis of Q-learning with time-varying learning policies (i.e., on-policy sampling) for discounted Markov decision processes under minimal assumptions, requiring only the existence of a…

Machine Learning · Computer Science 2026-04-07 Phalguni Nanda , Zaiwei Chen

Recently, extensive studies on photonic reinforcement learning to accelerate the process of calculation by exploiting the physical nature of light have been conducted. Previous studies utilized quantum interference of photons to achieve…

Artificial Intelligence · Computer Science 2022-12-21 Hiroaki Shinkawa , Nicolas Chauvet , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Guillaume Bachelier , Makoto Naruse

We present a two-armed bandit model of decision making under uncertainty where the expected return to investing in the "risky arm" increases when choosing that arm and decreases when choosing the "safe" arm. These dynamics are natural in…

Optimization and Control · Mathematics 2017-03-22 Roland Fryer , Philipp Harms

We propose a new policy, called the LP-update policy, to solve finite horizon weakly-coupled Markov decision processes. The latter can be seen as multi-constraint multi-action bandits, and generalize the classical restless bandit problems.…

Optimization and Control · Mathematics 2024-05-08 Nicolas Gast , Bruno Gaujal , Chen Yan

Restless multi-arm bandits (RMABs) is a popular decision-theoretic framework that has been used to model real-world sequential decision making problems in public health, wildlife conservation, communication systems, and beyond. Deployed…

Artificial Intelligence · Computer Science 2023-01-20 Paritosh Verma , Shresth Verma , Aditya Mate , Aparna Taneja , Milind Tambe

In this paper, we contribute to the Extreme Bandit problem, a variant of Multi-Armed Bandits in which the learner seeks to collect the largest possible reward. We first study the concentration of the maximum of i.i.d random variables under…

Machine Learning · Computer Science 2022-03-22 Dorian Baudry , Yoan Russac , Emilie Kaufmann

We study the stochastic bandit problem with ReLU neural network structure. We show that a $\tilde{O}(\sqrt{T})$ regret guarantee is achievable by considering bandits with one-layer ReLU neural networks; to the best of our knowledge, our…

Machine Learning · Computer Science 2024-05-14 Kan Xu , Hamsa Bastani , Surbhi Goel , Osbert Bastani

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…

Machine Learning · Statistics 2025-02-20 Pengjie Zhou , Haoyu Wei , Huiming Zhang

Heavy-tailed bandits have been extensively studied since the seminal work of \citet{Bubeck2012BanditsWH}. In particular, heavy-tailed linear bandits, enabling efficient learning with both a large number of arms and heavy-tailed noises, have…

Machine Learning · Computer Science 2025-08-20 Canzhe Zhao , Shinji Ito , Shuai Li

We consider the query recommendation problem in closed loop interactive learning settings like online information gathering and exploratory analytics. The problem can be naturally modelled using the Multi-Armed Bandits (MAB) framework with…

In this paper, we consider the problem of allocating human operators in a system with multiple semi-autonomous robots. Each robot is required to perform an independent sequence of tasks, subjected to a chance of failing and getting stuck in…

Robotics · Computer Science 2021-11-15 Abhinav Dahiya , Nima Akbarzadeh , Aditya Mahajan , Stephen L. Smith