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相关论文: Federated Best Arm Identification with Heterogeneo…

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We present a provably optimal differentially private algorithm for the stochastic multi-arm bandit problem, as opposed to the private analogue of the UCB-algorithm [Mishra and Thakurta, 2015; Tossou and Dimitrakakis, 2016] which doesn't…

机器学习 · 统计学 2019-05-24 Touqir Sajed , Or Sheffet

We study the problem of identifying the best arm in a stochastic multi-armed bandit game. Given a set of $n$ arms indexed from $1$ to $n$, each arm $i$ is associated with an unknown reward distribution supported on $[0,1]$ with mean…

机器学习 · 计算机科学 2023-05-30 Pinyan Lu , Chao Tao , Xiaojin Zhang

We design and analyze CascadeBAI, an algorithm for finding the best set of $K$ items, also called an arm, within the framework of cascading bandits. An upper bound on the time complexity of CascadeBAI is derived by overcoming a crucial…

机器学习 · 计算机科学 2020-06-16 Zixin Zhong , Wang Chi Cheung , Vincent Y. F. Tan

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…

信息论 · 计算机科学 2022-10-25 Yi Wei , Zixin Zhong , Vincent Y. F. Tan

Best arm identification or pure exploration problems have received much attention in the COLT community since Bubeck et al. (2009) and Audibert et al. (2010). For any bandit instance with a unique best arm, its asymptotic complexity in the…

机器学习 · 计算机科学 2023-03-03 Chao Qin

Combinatorial Multi-Armed Bandit with fairness constraints is a framework where multiple arms form a super arm and can be pulled in each round under uncertainty to maximize cumulative rewards while ensuring the minimum average reward…

机器学习 · 计算机科学 2025-01-14 Xiaoyi Wu , Bo Ji , Bin Li

In multi-armed bandits, the tasks of reward maximization and pure exploration are often at odds with each other. The former focuses on exploiting arms with the highest means, while the latter may require constant exploration across all…

机器学习 · 计算机科学 2024-10-22 Brian Cho , Dominik Meier , Kyra Gan , Nathan Kallus

We introduce a new graphical bilinear bandit problem where a learner (or a \emph{central entity}) allocates arms to the nodes of a graph and observes for each edge a noisy bilinear reward representing the interaction between the two end…

机器学习 · 计算机科学 2021-06-14 Geovani Rizk , Albert Thomas , Igor Colin , Rida Laraki , Yann Chevaleyre

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…

最优化与控制 · 数学 2022-09-07 Samuel N. Cohen , Tanut Treetanthiploet

Sequential decision-making under uncertainty often involves multiple agents learning which actions (arms) yield the highest rewards through repeated interaction with a stochastic environment. This setting is commonly modeled by cooperative…

系统与控制 · 电气工程与系统科学 2026-03-25 Evagoras Makridis , Themistoklis Charalambous

We present an efficient and generalised procedure to accurately identify the best (or near best) performing algorithm for each sub-task in a multi-problem domain. Our approach treats this as a set of best arm identification problems for…

机器学习 · 计算机科学 2026-04-22 Matthew Stephenson , Alex Newcombe , Eric Piette , Dennis Soemers

In this paper we present a new error bound on sampling algorithms for frequent itemsets mining. We show that the new bound is asymptotically tighter than the state-of-art bounds, i.e., given the chosen samples, for small enough error…

数据结构与算法 · 计算机科学 2017-03-27 Shiyu Ji , Kun Wan

We consider the Max $K$-Armed Bandit problem, where a learning agent is faced with several sources (arms) of items (rewards), and interested in finding the best item overall. At each time step the agent chooses an arm, and obtains a random…

机器学习 · 统计学 2015-08-25 Yahel David , Nahum Shimkin

Best-arm identification (BAI) in a fixed-budget setting is a bandit problem where the learning agent maximizes the probability of identifying the optimal (best) arm after a fixed number of observations. Most works on this topic study…

机器学习 · 计算机科学 2023-07-06 Mohammad Javad Azizi , Branislav Kveton , Mohammad Ghavamzadeh

We study stochastic structured bandits for minimizing regret. The fact that the popular optimistic algorithms do not achieve the asymptotic instance-dependent regret optimality (asymptotic optimality for short) has recently alluded…

机器学习 · 计算机科学 2020-10-26 Kwang-Sung Jun , Chicheng Zhang

We propose a {\em novel} piecewise stationary linear bandit (PSLB) model, where the environment randomly samples a context from an unknown probability distribution at each changepoint, and the quality of an arm is measured by its return…

机器学习 · 计算机科学 2024-10-11 Yunlong Hou , Vincent Y. F. Tan , Zixin Zhong

Top Two algorithms arose as an adaptation of Thompson sampling to best arm identification in multi-armed bandit models (Russo, 2016), for parametric families of arms. They select the next arm to sample from by randomizing among two…

机器学习 · 统计学 2022-10-05 Marc Jourdan , Rémy Degenne , Dorian Baudry , Rianne de Heide , Emilie Kaufmann

In this paper, we address the problem of identifying the Pareto Set under feasibility constraints in a multivariate bandit setting. Specifically, given a $K$-armed bandit with unknown means $\mu_1, \dots, \mu_K \in \mathbb{R}^d$, the goal…

机器学习 · 统计学 2025-06-11 Cyrille Kone , Emilie Kaufmann , Laura Richert

We study the Bandit Clustering (BC) problem under the fixed confidence setting, where the objective is to group a collection of data sequences (arms) into clusters through sequential sampling from adaptively selected arms at each time step…

机器学习 · 计算机科学 2026-01-15 G Dhinesh Chandran , Kota Srinivas Reddy , Srikrishna Bhashyam

In this paper, we consider a multi-armed bandit (MAB) instance and study how to identify the best arm when arm commands are conveyed from a central learner to a distributed agent over a discrete memoryless channel (DMC). Depending on the…

信息论 · 计算机科学 2026-04-03 Merve Karakas , Osama Hanna , Lin F. Yang , Christina Fragouli