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Thompson Sampling has generated significant interest due to its better empirical performance than upper confidence bound based algorithms. In this paper, we study Thompson Sampling based algorithm for Unsupervised Sequential Selection (USS)…

机器学习 · 计算机科学 2020-09-17 Arun Verma , Manjesh K. Hanawal , Nandyala Hemachandra

Motivated by the need to efficiently identify multiple candidates in high trial-and-error cost tasks such as drug discovery, we propose a near-optimal algorithm to identify all {\epsilon}-best arms (i.e., those at most {\epsilon} worse than…

机器学习 · 统计学 2025-10-02 Zhekai Li , Tianyi Ma , Cheng Hua , Ruihao Zhu

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 the "policy choice" problem -- otherwise known as best arm identification in the bandit literature -- proposed by Kasy and Sautmann (2021) for adaptive experimental design. Theorem 1 of Kasy and Sautmann (2021) provides three…

计量经济学 · 经济学 2021-11-25 Kaito Ariu , Masahiro Kato , Junpei Komiyama , Kenichiro McAlinn , Chao Qin

We aim to efficiently allocate a fixed simulation budget to identify the top-mc designs for each context among a finite number of contexts. The performance of each design under a context is measured by an identifiable statistical…

统计方法学 · 统计学 2023-07-03 Xinbo Shi , Yijie Peng , Gongbo Zhang

Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

机器学习 · 计算机科学 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

Intrusion Detection Systems (IDS) are developed to protect the network by detecting the attack. The current paper proposes an unsupervised feature selection technique for analyzing the network data. The search capability of the…

神经与进化计算 · 计算机科学 2019-05-17 Chanchal Suman , Somanath Tripathy , Sriparna Saha

We study the best-arm identification problem with fixed confidence when contextual (covariate) information is available in stochastic bandits. Although we can use contextual information in each round, we are interested in the marginalized…

机器学习 · 计算机科学 2024-02-27 Masahiro Kato , Kaito Ariu

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 the query recommendation problem in closed loop interactive learning settings like online information gathering and exploratory analytics. The problem can be naturally modelled using the Multi-Armed Bandits (MAB) framework with…

In the classical best arm identification (Best-$1$-Arm) problem, we are given $n$ stochastic bandit arms, each associated with a reward distribution with an unknown mean. We would like to identify the arm with the largest mean with…

机器学习 · 计算机科学 2017-05-25 Lijie Chen , Jian Li , Mingda Qiao

We consider the best arm identification problem in the stochastic multi-armed bandit framework where each arm has a tiny probability of realizing large rewards while with overwhelming probability the reward is zero. A key application of…

机器学习 · 计算机科学 2023-03-15 Anirban Bhattacharjee , Sushant Vijayan , Sandeep K Juneja

We consider the Multi-Armed Bandit (MAB) problem, where an agent sequentially chooses actions and observes rewards for the actions it took. While the majority of algorithms try to minimize the regret, i.e., the cumulative difference between…

机器学习 · 计算机科学 2021-09-14 Nadav Merlis , Shie Mannor

We study a grouped bandit setting where each arm comprises multiple independent sub-arms referred to as attributes. Each attribute of each arm has an independent stochastic reward. We impose the constraint that for an arm to be deemed…

机器学习 · 计算机科学 2024-12-12 Sahil Dharod , Malyala Preethi Sravani , Sakshi Heda , Sharayu Moharir

We discuss a multiple-play multi-armed bandit (MAB) problem in which several arms are selected at each round. Recently, Thompson sampling (TS), a randomized algorithm with a Bayesian spirit, has attracted much attention for its empirically…

机器学习 · 统计学 2019-03-22 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

We address the problem of best arm identification (BAI) with a fixed budget for two-armed Gaussian bandits. In BAI, given multiple arms, we aim to find the best arm, an arm with the highest expected reward, through an adaptive experiment.…

机器学习 · 计算机科学 2024-03-19 Masahiro Kato

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

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan

Much of the recent literature on bandit learning focuses on algorithms that aim to converge on an optimal action. One shortcoming is that this orientation does not account for time sensitivity, which can play a crucial role when learning an…

机器学习 · 计算机科学 2020-01-09 Daniel Russo , Benjamin Van Roy

Motivated by real-world applications that necessitate responsible experimentation, we introduce the problem of best arm identification (BAI) with minimal regret. This innovative variant of the multi-armed bandit problem elegantly…

机器学习 · 计算机科学 2024-09-30 Junwen Yang , Vincent Y. F. Tan , Tianyuan Jin