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Adaptive designs for multi-armed clinical trials have become increasingly popular recently in many areas of medical research because of their potential to shorten development times and to increase patient response. However, developing…

应用统计 · 统计学 2017-03-16 Adam Smith , Sofia S. Villar

Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

最优化与控制 · 数学 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

In a multi-armed bandit problem, an online algorithm chooses from a set of strategies in a sequence of trials so as to maximize the total payoff of the chosen strategies. While the performance of bandit algorithms with a small finite…

数据结构与算法 · 计算机科学 2019-04-16 Robert Kleinberg , Aleksandrs Slivkins , Eli Upfal

Contextual multi-armed bandits are a popular choice to model sequential decision-making. E.g., in a healthcare application we may perform various tests to asses a patient condition (exploration) and then decide on the best treatment to give…

机器学习 · 计算机科学 2025-04-08 Mirco Mutti , Jeongyeol Kwon , Shie Mannor , Aviv Tamar

We consider a sequential assortment selection problem where the user choice is given by a multinomial logit (MNL) choice model whose parameters are unknown. In each period, the learning agent observes a $d$-dimensional contextual…

机器学习 · 统计学 2021-03-26 Min-hwan Oh , Garud Iyengar

In this paper we consider the two-armed bandit problem, which often naturally appears per se or as a subproblem in some multi-armed generalizations, and serves as a starting point for introducing additional problem features. The…

最优化与控制 · 数学 2019-06-26 Peter Jacko

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

Modern platforms leverage randomized experiments to make informed decisions from a given set of items (``treatments''). As a particularly challenging scenario, these items may (i) arrive in high volume, with thousands of new items being…

机器学习 · 计算机科学 2023-12-27 Su Jia , Andrew Li , R. Ravi , Nishant Oli , Paul Duff , Ian Anderson

The Indexed Minimum Empirical Divergence (IMED) algorithm is a highly effective approach that offers a stronger theoretical guarantee of the asymptotic optimality compared to the Kullback--Leibler Upper Confidence Bound (KL-UCB) algorithm…

机器学习 · 计算机科学 2024-05-27 Jie Bian , Vincent Y. F. Tan

Smooth functions on graphs have wide applications in manifold and semi-supervised learning. In this work, we study a bandit problem where the payoffs of arms are smooth on a graph. This framework is suitable for solving online learning…

机器学习 · 统计学 2026-04-29 Tomáš Kocák , Rémi Munos , Branislav Kveton , Shipra Agrawal , Michal Valko

As large language models (LLMs) become increasingly popular, there is a growing need to predict which out of a set of LLMs will yield a successful answer to a given query at low cost. This problem promises to become even more relevant as…

计算与语言 · 计算机科学 2026-04-23 Baran Atalar , Eddie Zhang , Carlee Joe-Wong

The improving multi-armed bandits problem is a formal model for allocating effort under uncertainty, motivated by scenarios such as investing research effort into new technologies, performing clinical trials, and hyperparameter selection…

机器学习 · 计算机科学 2026-05-22 Avrim Blum , Marten Garicano , Kavya Ravichandran , Dravyansh Sharma

In the edge computing paradigm, mobile devices offload the computational tasks to an edge server by routing the required data over the wireless network. The full potential of edge computing becomes realized only if a smart device selects…

机器学习 · 计算机科学 2020-08-25 Saeed Ghoorchian , Setareh Maghsudi

We consider the minimax setup for the two-armed bandit problem as applied to data processing if there are two alternative processing methods available with different a priori unknown efficiencies. One should determine the most effective…

统计理论 · 数学 2017-05-30 Alexander Kolnogorov , Alexander Nazin , Dmitry Shiyan

In this paper, we consider a new Multi-Armed Bandit (MAB) problem where arms are nodes in an unknown and possibly changing graph, and the agent (i) initiates random walks over the graph by pulling arms, (ii) observes the random walk…

机器学习 · 计算机科学 2022-06-28 Tianyu Wang , Lin F. Yang , Zizhuo Wang

Partitioning Around Medoids (PAM, k-Medoids) is a popular clustering technique to use with arbitrary distance functions or similarities, where each cluster is represented by its most central object, called the medoid or the discrete median.…

机器学习 · 计算机科学 2023-09-07 Lars Lenssen , Erich Schubert

Performance of machine learning algorithms depends critically on identifying a good set of hyperparameters. While recent approaches use Bayesian optimization to adaptively select configurations, we focus on speeding up random search through…

机器学习 · 计算机科学 2018-06-20 Lisha Li , Kevin Jamieson , Giulia DeSalvo , Afshin Rostamizadeh , Ameet Talwalkar

We study finite-armed stochastic bandits where the rewards of each arm might be correlated to those of other arms. We introduce a novel phased algorithm that exploits the given structure to build confidence sets over the parameters of the…

机器学习 · 计算机科学 2020-05-26 Andrea Tirinzoni , Alessandro Lazaric , Marcello Restelli

This paper proposes a new algorithm, referred to as GMAB, that combines concepts from the reinforcement learning domain of multi-armed bandits and random search strategies from the domain of genetic algorithms to solve discrete stochastic…

神经与进化计算 · 计算机科学 2023-02-16 Deniz Preil , Michael Krapp

This paper studies a multi-armed bandit (MAB) version of the range-searching problem. In its basic form, range searching considers as input a set of points (on the real line) and a collection of (real) intervals. Here, with each specified…

机器学习 · 计算机科学 2021-05-05 Siddharth Barman , Ramakrishnan Krishnamurthy , Saladi Rahul