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We give a new algorithm for best arm identification in linearly parameterised bandits in the fixed confidence setting. The algorithm generalises the well-known LUCB algorithm of Kalyanakrishnan et al. (2012) by playing an arm which…

机器学习 · 计算机科学 2019-11-11 Mohammadi Zaki , Avinash Mohan , Aditya Gopalan

Bandit is a framework for designing sequential experiments. In each experiment, a learner selects an arm $A \in \mathcal{A}$ and obtains an observation corresponding to $A$. Theoretically, the tight regret lower-bound for the general bandit…

Motivated by drug design, we consider the best-arm identification problem in generalized linear bandits. More specifically, we assume each arm has a vector of covariates, there is an unknown vector of parameters that is common across the…

机器学习 · 计算机科学 2019-05-21 Abbas Kazerouni , Lawrence M. Wein

We explore algorithms to select actions in the causal bandit setting where the learner can choose to intervene on a set of random variables related by a causal graph, and the learner sequentially chooses interventions and observes a sample…

机器学习 · 计算机科学 2023-06-14 Alan Malek , Virginia Aglietti , Silvia Chiappa

Online platforms in the Internet Economy commonly incorporate recommender systems that recommend products (or "arms") to users (or "agents"). A key challenge in this domain arises from myopic agents who are naturally incentivized to exploit…

信息检索 · 计算机科学 2024-06-19 Xiaowu Dai , Wenlu Xu , Yuan Qi , Michael I. Jordan

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 study the best-arm identification problem in multi-armed bandits with stochastic, potentially private rewards, when the goal is to identify the arm with the highest quantile at a fixed, prescribed level. First, we propose a (non-private)…

We consider the best-k-arm identification problem for multi-armed bandits, where the objective is to select the exact set of k arms with the highest mean rewards by sequentially allocating measurement effort. We characterize the necessary…

机器学习 · 统计学 2023-07-18 Wei You , Chao Qin , Zihao Wang , Shuoguang Yang

We address the M-best-arm identification problem in multi-armed bandits. A player has a limited budget to explore K arms (M<K), and once pulled, each arm yields a reward drawn (independently) from a fixed, unknown distribution. The goal is…

机器学习 · 统计学 2017-07-11 Shahin Shahrampour , Vahid Tarokh

We conjecture that the worst case number of experiments necessary and sufficient to discover a causal graph uniquely given its observational Markov equivalence class can be specified as a function of the largest clique in the Markov…

人工智能 · 计算机科学 2012-06-18 Frederick Eberhardt

Motivated by modern applications, such as online advertisement and recommender systems, we study the top-$k$ extreme contextual bandits problem, where the total number of arms can be enormous, and the learner is allowed to select $k$ arms…

The best arm identification problem in the multi-armed bandit setting is an excellent model of many real-world decision-making problems, yet it fails to capture the fact that in the real-world, safety constraints often must be met while…

机器学习 · 计算机科学 2021-11-25 Zhenlin Wang , Andrew Wagenmaker , Kevin Jamieson

We investigate the problem of batched best arm identification in multi-armed bandits, where we aim to identify the best arm from a set of $n$ arms while minimizing both the number of samples and batches. We introduce an algorithm that…

机器学习 · 计算机科学 2025-01-30 Tianyuan Jin , Qin Zhang , Dongruo Zhou

Contextual dueling bandit is used to model the bandit problems, where a learner's goal is to find the best arm for a given context using observed noisy human preference feedback over the selected arms for the past contexts. However,…

机器学习 · 计算机科学 2025-04-17 Arun Verma , Zhongxiang Dai , Xiaoqiang Lin , Patrick Jaillet , Bryan Kian Hsiang Low

This paper studies the problem of adaptively sampling from K distributions (arms) in order to identify the largest gap between any two adjacent means. We call this the MaxGap-bandit problem. This problem arises naturally in approximate…

机器学习 · 统计学 2019-06-04 Sumeet Katariya , Ardhendu Tripathy , Robert Nowak

Real-time status updating applications increasingly rely on networks of devices and edge nodes to maintain data freshness, as quantified by the age of information (AoI) metric. Given that edge computing nodes exhibit uncertain and…

信息论 · 计算机科学 2026-03-17 Mengqiu Zhou , Vincent Y. F. Tan , Meng Zhang

Conversion rate optimization means designing web interfaces such that more visitors perform a desired action (such as register or purchase) on the site. One promising approach, implemented in Sentient Ascend, is to optimize the design using…

神经与进化计算 · 计算机科学 2018-11-19 Xin Qiu , Risto Miikkulainen

This work considers the problem of selective-sampling for best-arm identification. Given a set of potential options $\mathcal{Z}\subset\mathbb{R}^d$, a learner aims to compute with probability greater than $1-\delta$, $\arg\max_{z\in…

机器学习 · 计算机科学 2021-11-03 Romain Camilleri , Zhihan Xiong , Maryam Fazel , Lalit Jain , Kevin Jamieson

Contextual bandits aim to identify among a set of arms the optimal one with the highest reward based on their contextual information. Motivated by the fact that the arms usually exhibit group behaviors and the mutual impacts exist among…

机器学习 · 计算机科学 2022-06-13 Yunzhe Qi , Yikun Ban , Jingrui He

We study the problem of learning the causal relationships between a set of observed variables in the presence of latents, while minimizing the cost of interventions on the observed variables. We assume access to an undirected graph $G$ on…

数据结构与算法 · 计算机科学 2020-12-29 Raghavendra Addanki , Andrew McGregor , Cameron Musco