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Contextual multi-armed bandits (CMAB) have been widely used for learning to filter and prioritize information according to a user's interest. In this work, we analyze top-K ranking under the CMAB framework where the top-K arms are chosen…

机器学习 · 计算机科学 2022-01-31 Michael Rawson , Jade Freeman

Thompson sampling has become a ubiquitous approach to online decision problems with bandit feedback. The key algorithmic task for Thompson sampling is drawing a sample from the posterior of the optimal action. We propose an alternative arm…

机器学习 · 计算机科学 2021-05-05 Jackie Baek , Vivek F. Farias

Contextual bandits with linear payoffs, which are also known as linear bandits, provide a powerful alternative for solving practical problems of sequential decisions, e.g., online advertisements. In the era of big data, contextual data…

机器学习 · 计算机科学 2019-03-21 Xiaotian Yu

Many algorithms for data analysis exist, especially for classification problems. To solve a data analysis problem, a proper algorithm should be chosen, and also its hyperparameters should be selected. In this paper, we present a new method…

机器学习 · 计算机科学 2016-11-08 Valeria Efimova , Andrey Filchenkov , Anatoly Shalyto

We consider a non-stationary formulation of the stochastic multi-armed bandit where the rewards are no longer assumed to be identically distributed. For the best-arm identification task, we introduce a version of Successive Elimination…

人工智能 · 计算机科学 2016-09-09 Robin Allesiardo , Raphaël Féraud , Odalric-Ambrym Maillard

We study the stochastic multi-armed bandit problem with non-equivalent multiple plays where, at each step, an agent chooses not only a set of arms, but also their order, which influences reward distribution. In several problem formulations…

机器学习 · 计算机科学 2015-07-20 Aleksandr Vorobev , Gleb Gusev

A Tree Markov Decision Problem (T-MDP) is a finite-horizon MDP with a starting state $s_{1}$, in which every state is reachable from $s_{1}$ through exactly one state-action trajectory. T-MDPs arise naturally as abstractions of decision…

人工智能 · 计算机科学 2026-05-07 Anvay Shah , Ramsundar Anandanarayanan , Sharayu Moharir , Shivaram Kalyanakrishnan

Multi-armed bandits are one of the theoretical pillars of reinforcement learning. Recently, the investigation of quantum algorithms for multi-armed bandit problems was started, and it was found that a quadratic speed-up (in query…

量子物理 · 物理学 2025-03-26 Simon Buchholz , Jonas M. Kübler , Bernhard Schölkopf

We consider a sequential decision-making problem where an agent can take one action at a time and each action has a stochastic temporal extent, i.e., a new action cannot be taken until the previous one is finished. Upon completion, the…

机器学习 · 计算机科学 2020-03-26 P Sharoff , Nishant A. Mehta , Ravi Ganti

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

Thompson sampling is a heuristic algorithm for the multi-armed bandit problem which has a long tradition in machine learning. The algorithm has a Bayesian spirit in the sense that it selects arms based on posterior samples of reward…

机器学习 · 计算机科学 2021-02-15 Yi Liu , Veronika Rockova

Recently proposed reward-conditioned policies (RCPs) offer an appealing alternative in reinforcement learning. Compared with policy gradient methods, policy learning in RCPs is simpler since it is based on supervised learning, and unlike…

机器学习 · 计算机科学 2024-06-18 Kai Xu , Farid Tajaddodianfar , Ben Allison

We study a stochastic bandit problem with a general unknown reward function and a general unknown constraint function. Both functions can be non-linear (even non-convex) and are assumed to lie in a reproducing kernel Hilbert space (RKHS)…

机器学习 · 计算机科学 2022-03-30 Xingyu Zhou , Bo Ji

In a fixed-confidence pure exploration problem in stochastic multi-armed bandits, an algorithm iteratively samples arms and should stop as early as possible and return the correct answer to a query about the arms distributions. We are…

机器学习 · 计算机科学 2025-02-04 Adrienne Tuynman , Rémy Degenne

Contextual bandits are a form of multi-armed bandit in which the agent has access to predictive side information (known as the context) for each arm at each time step, and have been used to model personalized news recommendation, ad…

机器学习 · 统计学 2017-05-25 Aniket Anand Deshmukh , Urun Dogan , Clayton Scott

We study the robust best-arm identification problem (RBAI) in the case of linear rewards. The primary objective is to identify a near-optimal robust arm, which involves selecting arms at every round and assessing their robustness by…

机器学习 · 计算机科学 2023-11-09 Wei Wang , Sattar Vakili , Ilija Bogunovic

The restless bandit problem is one of the most well-studied generalizations of the celebrated stochastic multi-armed bandit problem in decision theory. In its ultimate generality, the restless bandit problem is known to be PSPACE-Hard to…

数据结构与算法 · 计算机科学 2009-02-03 Sudipto Guha , Kamesh Munagala , Peng Shi

We introduce the probably approximately correct (PAC) \emph{Battling-Bandit} problem with the Plackett-Luce (PL) subset choice model--an online learning framework where at each trial the learner chooses a subset of $k$ arms from a fixed set…

机器学习 · 计算机科学 2019-03-05 Aadirupa Saha , Aditya Gopalan

We study the pure exploration problem subject to a matroid constraint (Best-Basis) in a stochastic multi-armed bandit game. In a Best-Basis instance, we are given $n$ stochastic arms with unknown reward distributions, as well as a matroid…

机器学习 · 计算机科学 2016-05-26 Lijie Chen , Anupam Gupta , Jian Li

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
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