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We study best arm identification in a variant of the multi-armed bandit problem where the learner has limited precision in arm selection. The learner can only sample arms via certain exploration bundles, which we refer to as boxes. In…

机器学习 · 计算机科学 2023-05-11 Kota Srinivas Reddy , P. N. Karthik , Nikhil Karamchandani , Jayakrishnan Nair

The dueling bandit problem is a variation of the classical multi-armed bandit in which the allowable actions are noisy comparisons between pairs of arms. This paper focuses on a new approach for finding the "best" arm according to the Borda…

机器学习 · 统计学 2015-02-03 Kevin Jamieson , Sumeet Katariya , Atul Deshpande , Robert Nowak

We consider the problem of identifying any $k$ out of the best $m$ arms in an $n$-armed stochastic multi-armed bandit. Framed in the PAC setting, this particular problem generalises both the problem of `best subset selection' and that of…

机器学习 · 计算机科学 2019-01-25 Arghya Roy Chaudhuri , Shivaram Kalyanakrishnan

In this work, we address the open problem of finding low-complexity near-optimal multi-armed bandit algorithms for sequential decision making problems. Existing bandit algorithms are either sub-optimal and computationally simple (e.g.,…

机器学习 · 计算机科学 2018-04-18 Fang Liu , Sinong Wang , Swapna Buccapatnam , Ness Shroff

We consider a multi-armed bandit setting with finitely many arms, in which each arm yields an $M$-dimensional vector reward upon selection. We assume that the reward of each dimension (a.k.a. {\em objective}) is generated independently of…

机器学习 · 计算机科学 2025-01-24 Zhirui Chen , P. N. Karthik , Yeow Meng Chee , Vincent Y. F. Tan

This paper studies active learning in the context of robust statistics. Specifically, we propose a variant of the Best Arm Identification problem for \emph{contaminated bandits}, where each arm pull has probability $\varepsilon$ of…

统计理论 · 数学 2021-11-16 Jason Altschuler , Victor-Emmanuel Brunel , Alan Malek

We consider a novel stochastic multi-armed bandit setting, where playing an arm makes it unavailable for a fixed number of time slots thereafter. This models situations where reusing an arm too often is undesirable (e.g. making the same…

机器学习 · 计算机科学 2024-07-31 Soumya Basu , Rajat Sen , Sujay Sanghavi , Sanjay Shakkottai

We study fixed budget constrained best-arm identification in grouped bandits, where each arm consists of multiple independent attributes with stochastic rewards. An arm is considered feasible only if all its attributes' means are above a…

机器学习 · 计算机科学 2026-03-05 Raunak Mukherjee , Sharayu Moharir

Combinatorial linear semi-bandits (CLS) are widely applicable frameworks of sequential decision-making, in which a learner chooses a subset of arms from a given set of arms associated with feature vectors. Existing algorithms work poorly…

机器学习 · 统计学 2019-09-11 Kei Takemura , Shinji Ito

Many stochastic optimization algorithms work by estimating the gradient of the cost function on the fly by sampling datapoints uniformly at random from a training set. However, the estimator might have a large variance, which inadvertently…

机器学习 · 计算机科学 2017-08-10 Farnood Salehi , L. Elisa Celis , Patrick Thiran

Motivated by the cost heterogeneity in experimentation across different alternatives, we study the Best Arm Identification with Resource Constraints (BAIwRC) problem. The agent aims to identify the best arm under resource constraints, where…

机器学习 · 计算机科学 2025-03-25 Zitian Li , Wang Chi Cheung

We consider fixed-budget best-arm identification in two-armed Gaussian bandit problems. One of the longstanding open questions is the existence of an optimal strategy under which the probability of misidentification matches a lower bound.…

机器学习 · 统计学 2023-01-02 Masahiro Kato , Kaito Ariu , Masaaki Imaizumi , Masahiro Nomura , Chao Qin

We study a stochastic multi-armed bandit setting where arms are partitioned into known clusters, such that the mean rewards of arms within a cluster differ by at most a known threshold. While the clustering structure is known a priori, the…

机器学习 · 计算机科学 2025-08-20 Aakash Gore , Prasanna Chaporkar

We consider the problem of best arm identification in a variant of multi-armed bandits called linked bandits. In a single interaction with linked bandits, multiple arms are played sequentially until one of them receives a positive reward.…

机器学习 · 计算机科学 2019-01-29 Anant Gupta

We study the Pareto Set Identification (PSI) problem in a structured multi-output linear bandit model. In this setting, each arm is associated a feature vector belonging to $\mathbb{R}^h$, and its mean vector in $\mathbb{R}^d$ linearly…

机器学习 · 统计学 2025-07-08 Cyrille Kone , Emilie Kaufmann , Laura Richert

We focus on the problem of best-arm identification in a stochastic multi-arm bandit with temporally decreasing variances for the arms' rewards. We model arm rewards as Gaussian random variables with fixed means and variances that decrease…

机器学习 · 计算机科学 2025-02-12 Tamojeet Roychowdhury , Kota Srinivas Reddy , Krishna P Jagannathan , Sharayu Moharir

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 investigate various stochastic bandit problems in the presence of adversarial corruptions. A seminal work for this problem is the BARBAR~\cite{gupta2019better} algorithm, which achieves both robustness and efficiency. However, it suffers…

机器学习 · 计算机科学 2026-01-05 Zicheng Hu , Cheng Chen

We introduce Box Thirding (B3), a flexible and efficient algorithm for Best Arm Identification (BAI) under fixed-budget constraints. It is designed for both anytime BAI and scenarios with large N, where the number of arms is too large for…

机器学习 · 统计学 2026-02-23 Seohwa Hwang , Junyong Park

The evaluation of hyperparameters, neural architectures, or data augmentation policies becomes a critical model selection problem in advanced deep learning with a large hyperparameter search space. In this paper, we propose an efficient and…

机器学习 · 统计学 2020-12-17 Yimin Huang , Yujun Li , Hanrong Ye , Zhenguo Li , Zhihua Zhang