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The evaluation of clustering results is difficult, highly dependent on the evaluated data set and the perspective of the beholder. There are many different clustering quality measures, which try to provide a general measure to validate…

Machine Learning · Computer Science 2023-10-17 Lars Lenssen , Erich Schubert

We study the multi-armed bandit problem with arms which are Markov chains with rewards. In the finite-horizon setting, the celebrated Gittins indices do not apply, and the exact solution is intractable. We provide approximation algorithms…

Data Structures and Algorithms · Computer Science 2016-09-14 Will Ma

Gittins indices provide an optimal solution to the classical multi-armed bandit problem. An obstacle to their use has been the common perception that their computation is very difficult. This paper demonstrates an accessible general…

Machine Learning · Statistics 2019-09-12 James Edwards

In this report, we survey Bayesian Optimization methods focussed on the Multi-Armed Bandit Problem. We take the help of the paper "Portfolio Allocation for Bayesian Optimization". We report a small literature survey on the acquisition…

Machine Learning · Computer Science 2020-12-16 Abhilash Nandy , Chandan Kumar , Deepak Mewada , Soumya Sharma

The classical multi-agent rendezvous problem asks for a deterministic algorithm by which $n$ points scattered in a plane can move about at constant speed and merge at a single point, assuming each point can use only the locations of the…

Multiagent Systems · Computer Science 2013-06-24 Peter Hegarty , Anders Martinsson , Dmitry Zhelezov

Multi-armed bandits a simple but very powerful framework for algorithms that make decisions over time under uncertainty. An enormous body of work has accumulated over the years, covered in several books and surveys. This book provides a…

Machine Learning · Computer Science 2024-04-05 Aleksandrs Slivkins

In recent years it has become popular to study machine learning problems in a setting of ordinal distance information rather than numerical distance measurements. By ordinal distance information we refer to binary answers to distance…

Machine Learning · Statistics 2017-07-25 Matthäus Kleindessner , Ulrike von Luxburg

We consider the stochastic bandit problem in the sublinear space setting, where one cannot record the win-loss record for all $K$ arms. We give an algorithm using $O(1)$ words of space with regret \[ \sum_{i=1}^{K}\frac{1}{\Delta_i}\log…

Data Structures and Algorithms · Computer Science 2018-05-17 David Liau , Eric Price , Zhao Song , Ger Yang

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…

Data Structures and Algorithms · Computer Science 2008-09-30 Robert Kleinberg , Aleksandrs Slivkins , Eli Upfal

Given two point sets S and T, we study the many-to-many matching with demands problem (MMD problem) which is a generalization of the many-to-many matching problem (MM problem). In an MMD, each point of one set must be matched to a given…

Data Structures and Algorithms · Computer Science 2018-03-29 Fatemeh Rajabi-Alni , Alireza Bagheri

This paper investigates the grant-free random access with massive IoT devices. By embedding the data symbols in the signature sequences, joint device activity detection and data decoding can be achieved, which, however, significantly…

Machine Learning · Computer Science 2020-01-29 Jialin Dong , Jun Zhang , Yuanming Shi , Jessie Hui Wang

Prompt engineering has become central to eliciting the capabilities of large language models (LLMs). At its core lies prompt selection -- efficiently identifying the most effective prompts. However, most prior investigations overlook a key…

Machine Learning · Computer Science 2026-05-15 Donghao Li , Chengshuai Shi , Weijuan Ou , Cong Shen , Jing Yang

Community detection becomes an important problem with the booming of social networks. The Medoid-Shift algorithm preserves the benefits of Mean-Shift and can be applied to problems based on distance matrix, such as community detection. One…

Social and Information Networks · Computer Science 2023-09-20 Jie Hou , Jiakang Li , Xiaokang Peng , Wei Ke , Yonggang Lu

We give a near-optimal sample-pass trade-off for pure exploration in multi-armed bandits (MABs) via multi-pass streaming algorithms: any streaming algorithm with sublinear memory that uses the optimal sample complexity of…

Machine Learning · Computer Science 2024-06-26 Sepehr Assadi , Chen Wang

Multi-armed bandit problems are receiving a great deal of attention because they adequately formalize the exploration-exploitation trade-offs arising in several industrially relevant applications, such as online advertisement and, more…

Machine Learning · Computer Science 2013-11-05 Nicolò Cesa-Bianchi , Claudio Gentile , Giovanni Zappella

In order to distribute the best arm identification task as close as possible to the user's devices, on the edge of the Radio Access Network, we propose a new problem setting, where distributed players collaborate to find the best arm. This…

Artificial Intelligence · Computer Science 2017-03-30 Raphaël Féraud

Contextual bandits with linear payoffs, which are also known as linear bandits, provide a powerful alternative for solving practical problems of sequential decisions, e.g., online advertisements. In the era of big data, contextual data…

Machine Learning · Computer Science 2019-03-21 Xiaotian Yu

We consider a bandit problem which involves sequential sampling from two populations (arms). Each arm produces a noisy reward realization which depends on an observable random covariate. The goal is to maximize cumulative expected reward.…

Statistics Theory · Mathematics 2010-03-09 Philippe Rigollet , Assaf Zeevi

We consider a bandit problem over a graph where the rewards are not directly observed. Instead, the decision maker can compare two nodes and receive (stochastic) information pertaining to the difference in their value. The graph structure…

Machine Learning · Computer Science 2011-09-13 Dotan Di Castro , Claudio Gentile , Shie Mannor

The success of deep neural networks (DNNs) has promoted the widespread applications of person re-identification (ReID). However, ReID systems inherit the vulnerability of DNNs to malicious attacks of visually inconspicuous adversarial…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Xueping Wang , Shasha Li , Min Liu , Yaonan Wang , Amit K. Roy-Chowdhury